{"id":17466,"date":"2026-10-24T03:24:22","date_gmt":"2026-10-24T03:24:22","guid":{"rendered":"https:\/\/www.dgcrane.com\/?post_type=posts&#038;p=17466"},"modified":"2026-10-24T03:24:26","modified_gmt":"2026-10-24T03:24:26","slug":"overhead-crane-planetary-gearbox-ratios","status":"publish","type":"posts","link":"https:\/\/www.dgcrane.com\/el\/posts\/overhead-crane-planetary-gearbox-ratios\/","title":{"rendered":"\u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03bf \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03bc\u03b5 \u03b3\u03b5\u03c1\u03b1\u03bd\u03cc: \u03a0\u03ce\u03c2 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03b5\u03be\u03b1\u03c1\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03bf\u03cd\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ad\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5\u03c4\u03ac\u03b4\u03bf\u03c3\u03b7\u03c2"},"content":{"rendered":"<div class=\"wp-block-rank-math-toc-block\" id=\"rank-math-toc\"><h2>\u03a0\u03af\u03bd\u03b1\u03ba\u03b1\u03c2 \u03c0\u03b5\u03c1\u03b9\u03b5\u03c7\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd<\/h2><nav><ul><li><a href=\"#1-what-are-the-four-components-of-a-planetary-gearbox\">1. \u03a0\u03bf\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03b5\u03be\u03b1\u03c1\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03ba\u03b9\u03b2\u03c9\u03c4\u03af\u03bf\u03c5 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd;<\/a><ul><li><a href=\"#1-1-sun-gear-the-central-gear-of-the-system\">1.1 \u0397\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9: \u039f \u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c2 \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03c4\u03bf\u03c5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/a><\/li><li><a href=\"#1-2-planet-gears-rotating-on-their-own-axes-while-orbiting-the-sun\">1.2 \u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u0393\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1: \u03a0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2 \u03b5\u03bd\u03ce \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c4\u03c1\u03bf\u03c7\u03b9\u03ac \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u0389\u03bb\u03b9\u03bf<\/a><\/li><li><a href=\"#1-3-ring-gear-enclosing-the-entire-gear-set\">1.3 \u0394\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd: \u03a0\u03b5\u03c1\u03b9\u03ba\u03bb\u03b5\u03af\u03bf\u03bd\u03c4\u03b1\u03c2 \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03bf \u03c4\u03bf \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd<\/a><\/li><li><a href=\"#1-4-planet-carrier-determining-how-the-planets-move-as-a-group\">1.4 \u03a0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7\u03c2-\u03a6\u03bf\u03c1\u03ad\u03b1\u03c2: \u03a0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c5 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03ba\u03b9\u03bd\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b5\u03c2 \u03c9\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1<\/a><\/li><\/ul><\/li><li><a href=\"#2-the-real-core-of-the-planetary-gear-ratio-one-equation-links-the-three-rotating-members\">2. \u039f \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03c0\u03c5\u03c1\u03ae\u03bd\u03b1\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b7\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd: \u039c\u03af\u03b1 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03b9 \u03c4\u03b1 \u03c4\u03c1\u03af\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03b5\u03c6\u03cc\u03bc\u03b5\u03bd\u03b1 \u03bc\u03ad\u03bb\u03b7<\/a><\/li><li><a href=\"#3-the-most-common-arrangement-ring-gear-fixed-sun-input-carrier-output\">3. \u0397 \u03c0\u03b9\u03bf \u03ba\u03bf\u03b9\u03bd\u03ae \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7: \u03a3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03af\u03bf\u03c5, \u03b5\u03af\u03c3\u03bf\u03b4\u03bf\u03c2 \u03b7\u03bb\u03af\u03bf\u03c5, \u03ad\u03be\u03bf\u03b4\u03bf\u03c2 \u03c6\u03bf\u03c1\u03ad\u03b1<\/a><\/li><li><a href=\"#4-the-same-gears-produce-completely-different-results-when-a-different-member-is-fixed\">4. \u03a4\u03b1 \u03af\u03b4\u03b9\u03b1 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03bd \u03b5\u03bd\u03c4\u03b5\u03bb\u03ce\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03cc\u03c4\u03b1\u03bd \u03b4\u03b9\u03bf\u03c1\u03b8\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03cc \u03bc\u03ad\u03bb\u03bf\u03c2<\/a><\/li><li><a href=\"#5-why-can-a-planetary-gear-set-transmit-high-torque-in-such-a-small-space\">5. \u0393\u03b9\u03b1\u03c4\u03af \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03b4\u03ce\u03c3\u03b5\u03b9 \u03c5\u03c8\u03b7\u03bb\u03ae \u03c1\u03bf\u03c0\u03ae \u03c3\u03b5 \u03c4\u03cc\u03c3\u03bf \u03bc\u03b9\u03ba\u03c1\u03cc \u03c7\u03ce\u03c1\u03bf;<\/a><\/li><li><a href=\"#6-why-are-planetary-gears-particularly-popular-in-automatic-transmissions\">6. \u0393\u03b9\u03b1\u03c4\u03af \u03c4\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03b4\u03b9\u03b1\u03af\u03c4\u03b5\u03c1\u03b1 \u03b4\u03b7\u03bc\u03bf\u03c6\u03b9\u03bb\u03ae \u03c3\u03c4\u03b1 \u03b1\u03c5\u03c4\u03cc\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03b1 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd;<\/a><\/li><li><a href=\"#7-why-do-overhead-cranes-and-construction-machinery-rely-on-planetary-reducers\">7. \u0393\u03b9\u03b1\u03c4\u03af \u03bf\u03b9 \u03b5\u03bd\u03b1\u03ad\u03c1\u03b9\u03bf\u03b9 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03af \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ce\u03bd \u03b2\u03b1\u03c3\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b5\u03c2;<\/a><\/li><li><a href=\"#8-an-easily-overlooked-geometric-condition-tooth-counts-cannot-be-chosen-arbitrarily\">8. \u039c\u03b9\u03b1 \u03b5\u03cd\u03ba\u03bf\u03bb\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b2\u03bb\u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b7: \u039f \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03c0\u03b9\u03bb\u03b5\u03b3\u03b5\u03af \u03b1\u03c5\u03b8\u03b1\u03af\u03c1\u03b5\u03c4\u03b1<\/a><\/li><li><a href=\"#9-four-statements-are-enough-to-understand-a-planetary-gear-set\">9. \u03a4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b9\u03c2 \u03b4\u03b7\u03bb\u03ce\u03c3\u03b5\u03b9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c1\u03ba\u03b5\u03c4\u03ad\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03ae\u03c3\u03b5\u03c4\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03b5\u03c4 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd<\/a><\/li><li><a href=\"#final-note-its-real-strength-is-not-the-number-of-gears-but-the-use-of-degrees-of-freedom\">\u03a4\u03b5\u03bb\u03b9\u03ba\u03ae \u03c3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7: \u0397 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd, \u03b1\u03bb\u03bb\u03ac \u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03b2\u03b1\u03b8\u03bc\u03ce\u03bd \u03b5\u03bb\u03b5\u03c5\u03b8\u03b5\u03c1\u03af\u03b1\u03c2<\/a><\/li><\/ul><\/nav><\/div>\n\n\n\n<p>\u0391\u03c0\u03bf\u03c3\u03c5\u03bd\u03b1\u03c1\u03bc\u03bf\u03bb\u03bf\u03b3\u03ae\u03c3\u03c4\u03b5 \u03ad\u03bd\u03b1 \u03b1\u03c5\u03c4\u03cc\u03bc\u03b1\u03c4\u03bf \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03bf \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd, \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03bf \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03cd \u03ae \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03c1\u03bf\u03bc\u03c0\u03bf\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b5\u03c2 \u03b1\u03c1\u03b8\u03c1\u03ce\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b8\u03b1 \u03b2\u03bb\u03ad\u03c0\u03b5\u03c4\u03b5 \u03b5\u03c0\u03b1\u03bd\u03b5\u03b9\u03bb\u03b7\u03bc\u03bc\u03ad\u03bd\u03b1 \u03bc\u03b9\u03b1 \u03c0\u03bf\u03bb\u03cd \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b4\u03bf\u03bc\u03ae \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd: \u03ad\u03bd\u03b1 \u03bc\u03b9\u03ba\u03c1\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03c3\u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf, \u03c0\u03bf\u03bb\u03bb\u03ac \u03bc\u03b9\u03ba\u03c1\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03b3\u03cd\u03c1\u03c9 \u03c4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1\u03bd \u03b5\u03be\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc \u03b4\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf \u03bc\u03b5 \u03b5\u03c3\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03ac \u03b4\u03cc\u03bd\u03c4\u03b9\u03b1.<\/p>\n\n\n\n<p>\u039c\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03af\u03c0\u03bf\u03c4\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u00ab\u03c0\u03bf\u03bb\u03bb\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03b4\u03b9\u03b1\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b1 \u03c3\u03b5 \u03ba\u03cd\u03ba\u03bb\u03bf\u00bb, \u03ba\u03b9 \u03cc\u03bc\u03c9\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2, \u03b1\u03cd\u03be\u03b7\u03c3\u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2, \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03b7 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae \u03ba\u03b1\u03b9 \u03bf\u03bc\u03bf\u03b1\u03be\u03bf\u03bd\u03b9\u03ba\u03ae \u03bc\u03b5\u03c4\u03ac\u03b4\u03bf\u03c3\u03b7 \u03c3\u03b5 \u03c0\u03bf\u03bb\u03cd \u03bc\u03b9\u03ba\u03c1\u03cc \u03c7\u03ce\u03c1\u03bf. \u039c\u03c0\u03bf\u03c1\u03b5\u03af \u03b1\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03bd\u03c4\u03b5\u03bb\u03ce\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae\u03c2 \u03bc\u03b5\u03c4\u03ac\u03b4\u03bf\u03c3\u03b7\u03c2 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03b1\u03bb\u03bb\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c0\u03bf\u03b9\u03bf \u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc, \u03c0\u03bf\u03b9\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b5\u03af\u03c3\u03bf\u03b4\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03bf\u03b9\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03ad\u03be\u03bf\u03b4\u03bf\u03c2.<\/p>\n\n\n\n<p>\u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd. \u0391\u03c5\u03c4\u03cc \u03c0\u03bf\u03c5 \u03c4\u03bf \u03ba\u03b1\u03b8\u03b9\u03c3\u03c4\u03ac \u03b9\u03c3\u03c7\u03c5\u03c1\u03cc \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd, \u03b1\u03bb\u03bb\u03ac \u03b7 \u03b1\u03c5\u03c3\u03c4\u03b7\u03c1\u03ae \u03ba\u03b9\u03bd\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03c4\u03b5\u03c3\u03c3\u03ac\u03c1\u03c9\u03bd \u03b2\u03b1\u03c3\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b1\u03c1\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03c4\u03bf\u03c5.<\/p>\n\n\n\n<p>\u0398\u03c5\u03bc\u03b7\u03b8\u03b5\u03af\u03c4\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c0\u03c1\u03ce\u03c4\u03b1: \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b4\u03b5\u03bd \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1 \u03c4\u03bf\u03c5 \u00ab\u03bc\u03b5\u03c4\u03b1\u03b2\u03b1\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03ac\u03bb\u03bb\u03bf \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd\u00bb. \u0391\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b1, \u03b1\u03bd\u03b1\u03b4\u03b9\u03b1\u03bd\u03ad\u03bc\u03b5\u03b9 \u03c4\u03b7\u03bd \u03ba\u03af\u03bd\u03b7\u03c3\u03b7 \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03bf\u03c5 \u03c4\u03bf\u03c5 \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b1\u03bb\u03bb\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03b5\u03af\u03c3\u03bf\u03b4\u03bf, \u03c4\u03b7\u03bd \u03ad\u03be\u03bf\u03b4\u03bf \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ad\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5 \u03b7\u03bb\u03b9\u03b1\u03ba\u03bf\u03cd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd, \u03c4\u03bf\u03c5 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03bf\u03cd\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-what-are-the-four-components-of-a-planetary-gearbox\">1. \u03a0\u03bf\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03b5\u03be\u03b1\u03c1\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03ba\u03b9\u03b2\u03c9\u03c4\u03af\u03bf\u03c5 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd;<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-1-sun-gear-the-central-gear-of-the-system\">1.1 \u0397\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9: \u039f \u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c2 \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03c4\u03bf\u03c5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/h3>\n\n\n\n<p>\u03a4\u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03b5\u03bc\u03c0\u03bb\u03ad\u03ba\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c0\u03bf\u03bb\u03bb\u03ac \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1. \u03a3\u03b5 \u03c0\u03bf\u03bb\u03bb\u03bf\u03cd\u03c2 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b5\u03c2, \u03bf \u03ac\u03be\u03bf\u03bd\u03b1\u03c2 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03b5\u03bd\u03cc\u03c2 \u03b7\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b1 \u03ae \u03c5\u03b4\u03c1\u03b1\u03c5\u03bb\u03b9\u03ba\u03bf\u03cd \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b1 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9, \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03c3\u03c5\u03c7\u03bd\u03ac \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03af\u03c3\u03bf\u03b4\u03bf \u03c5\u03c8\u03b7\u03bb\u03ae\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2. \u039f \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd \u03c3\u03c4\u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 Z.<sub>\u03bc\u03b9\u03ba\u03c1\u03cc<\/sub>, \u03ba\u03b1\u03b9 \u03b7 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03bf\u03c5 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03c4\u03ac \u03c9<sub>\u03bc\u03b9\u03ba\u03c1\u03cc<\/sub>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-2-planet-gears-rotating-on-their-own-axes-while-orbiting-the-sun\">1.2 \u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u0393\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1: \u03a0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2 \u03b5\u03bd\u03ce \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c4\u03c1\u03bf\u03c7\u03b9\u03ac \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u0389\u03bb\u03b9\u03bf<\/h3>\n\n\n\n<p>\u03a4\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03c0\u03b9\u03bf \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03bd \u03bc\u03ad\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd. \u039a\u03ac\u03b8\u03b5 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03c4\u03b1\u03b9 \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03ac \u03c4\u03bf\u03c5 \u03b5\u03bd\u03ce \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03c4\u03b1\u03b9 \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03ce\u03bd. \u03a4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1, \u03b5\u03bc\u03c0\u03bb\u03ad\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c4\u03cc\u03c3\u03bf \u03bc\u03b5 \u03c4\u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03cc\u03c3\u03bf \u03ba\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03bf \u03b5\u03c3\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03ad\u03c2 \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9.<\/p>\n\n\n\n<p>\u0397 \u03b1\u03cd\u03be\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03c4\u03c9\u03bd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b4\u03b5\u03bd \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7 \u03b8\u03b5\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03b1\u03c0\u03bb\u03bf\u03cd \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd. \u03a9\u03c3\u03c4\u03cc\u03c3\u03bf, \u03cc\u03c4\u03b1\u03bd \u03bf \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c6\u03bf\u03c1\u03c4\u03af\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03bb\u03ae, \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ac \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03bc\u03bf\u03b9\u03c1\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c6\u03bf\u03c1\u03c4\u03af\u03bf. \u0391\u03c5\u03c4\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03bf \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03c0\u03b9\u03c4\u03cd\u03c7\u03b5\u03b9 \u03c5\u03c8\u03b7\u03bb\u03ae \u03c0\u03c5\u03ba\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c1\u03bf\u03c0\u03ae\u03c2.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-3-ring-gear-enclosing-the-entire-gear-set\">1.3 \u0394\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd: \u03a0\u03b5\u03c1\u03b9\u03ba\u03bb\u03b5\u03af\u03bf\u03bd\u03c4\u03b1\u03c2 \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03bf \u03c4\u03bf \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd<\/h3>\n\n\n\n<p>\u039f \u03b4\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03b5\u03be\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc, \u03bc\u03b5 \u03c4\u03b1 \u03b4\u03cc\u03bd\u03c4\u03b9\u03b1 \u03c4\u03bf\u03c5 \u03c3\u03c4\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03b1 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b1 \u03bc\u03ad\u03c3\u03b1. \u03a3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03b5\u03c3\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc \u03c0\u03bb\u03ad\u03b3\u03bc\u03b1 \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03bf\u03cd\u03c2 \u03c4\u03c1\u03bf\u03c7\u03bf\u03cd\u03c2. \u039f \u03b4\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc\u03c2 \u03ae \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af \u03b5\u03af\u03c4\u03b5 \u03c9\u03c2 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03bf \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03b5\u03af\u03c4\u03b5 \u03c9\u03c2 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03bf \u03b5\u03be\u03cc\u03b4\u03bf\u03c5. \u039f \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd \u03c3\u03c4\u03bf\u03bd \u03b4\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 Z.<sub>\u03c1<\/sub>, \u03ba\u03b1\u03b9 \u03b7 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03bf\u03c5 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03c4\u03ac \u03c9<sub>\u03c1<\/sub>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-4-planet-carrier-determining-how-the-planets-move-as-a-group\">1.4 \u03a0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7\u03c2-\u03a6\u03bf\u03c1\u03ad\u03b1\u03c2: \u03a0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c5 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03ba\u03b9\u03bd\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b5\u03c2 \u03c9\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1<\/h3>\n\n\n\n<p>\u03a4\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03b4\u03b5\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c7\u03c9\u03c1\u03af\u03c2 \u03c3\u03c4\u03ae\u03c1\u03b9\u03be\u03b7. \u039f\u03b9 \u03ac\u03be\u03bf\u03bd\u03ad\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03b7\u03bc\u03ad\u03bd\u03bf\u03b9 \u03c3\u03c4\u03bf\u03bd \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03ce\u03bd. \u039f \u03c6\u03bf\u03c1\u03ad\u03b1\u03c2 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03b9 \u03c4\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf, \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b7 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae \u03c4\u03bf\u03c5 \u03c6\u03bf\u03c1\u03ad\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae \u03c4\u03c9\u03bd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc \u03c4\u03c1\u03bf\u03c7\u03cc. \u0397 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c9.<sub>\u03bd\u03c4\u03bf<\/sub>\u03a3\u03b5 \u03c0\u03bf\u03bb\u03bb\u03bf\u03cd\u03c2 \u03b2\u03b9\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b5\u03c2, \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c3\u03c4\u03b5\u03c1\u03ad\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03bf\u03cd\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd, \u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b7\u03bb\u03b9\u03b1\u03ba\u03bf\u03cd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03c9\u03c2 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7 \u03c9\u03c2 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u03a3\u03c5\u03c3\u03c4\u03b1\u03c4\u03b9\u03ba\u03cc<\/th><th>\u039a\u03bf\u03b9\u03bd\u03cc \u03c3\u03cd\u03bc\u03b2\u03bf\u03bb\u03bf<\/th><th>\u039a\u03cd\u03c1\u03b9\u03b1 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b1<\/th><th>\u03a4\u03c5\u03c0\u03b9\u03ba\u03ae \u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7<\/th><\/tr><\/thead><tbody><tr><td>\u0391\u03bd\u03c4\u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03b5\u03be\u03bf\u03c0\u03bb\u03b9\u03c3\u03bc\u03cc\u03c2<\/td><td>\u0396<sub>\u03bc\u03b9\u03ba\u03c1\u03cc<\/sub>\/\u03c9<sub>\u03bc\u03b9\u03ba\u03c1\u03cc<\/sub><\/td><td>\u039a\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03b1\u03b4\u03af\u03b4\u03b5\u03b9 \u03ba\u03af\u03bd\u03b7\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c1\u03bf\u03c0\u03ae \u03c3\u03c4\u03bf\u03c5\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03bf\u03cd\u03c2 \u03c4\u03c1\u03bf\u03c7\u03bf\u03cd\u03c2<\/td><td>\u03a3\u03c5\u03c7\u03bd\u03ac \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03b5\u03af\u03c3\u03bf\u03b4\u03bf\u03c2 \u03c5\u03c8\u03b7\u03bb\u03ae\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2<\/td><\/tr><tr><td>\u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1<\/td><td>\u0396<sub>\u03c0<\/sub>\/\u03c9<sub>\u03c0<\/sub><\/td><td>\u03a0\u03bb\u03ad\u03b3\u03bc\u03b1 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03ae\u03bb\u03b9\u03bf \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03b4\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf<\/td><td>\u03a0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae \u03c3\u03c5\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae<\/td><\/tr><tr><td>\u0394\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd<\/td><td>\u0396<sub>\u03c1<\/sub>\/\u03c9<sub>\u03c1<\/sub><\/td><td>\u0395\u03be\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc \u03b5\u03c3\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03af\u03b6\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03ad\u03c7\u03b5\u03b9 \u03c3\u03c4\u03b7 \u03bc\u03b5\u03c4\u03ac\u03b4\u03bf\u03c3\u03b7<\/td><td>\u039c\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc, \u03b5\u03b9\u03c3\u03b5\u03c1\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf \u03ae \u03b5\u03be\u03b5\u03c1\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf<\/td><\/tr><tr><td>\u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03bf\u03c6\u03bf\u03c1\u03ad\u03b1\u03c2<\/td><td>\u03c9<sub>\u03bd\u03c4\u03bf<\/sub><\/td><td>\u03a5\u03c0\u03bf\u03c3\u03c4\u03b7\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03c4\u03c1\u03bf\u03c7\u03b9\u03b1\u03ba\u03ae \u03ba\u03af\u03bd\u03b7\u03c3\u03b7<\/td><td>\u03a3\u03c5\u03c7\u03bd\u03ac \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03ad\u03be\u03bf\u03b4\u03bf\u03c2 \u03c7\u03b1\u03bc\u03b7\u03bb\u03ae\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1448\" height=\"1086\" src=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/10\/planetary-gearbox-components.png\" alt=\"\u03a4\u03b1 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ac \u03b5\u03be\u03b1\u03c1\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03ba\u03b9\u03b2\u03c9\u03c4\u03af\u03bf\u03c5 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd\" class=\"wp-image-17468\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-the-real-core-of-the-planetary-gear-ratio-one-equation-links-the-three-rotating-members\">2. \u039f \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03c0\u03c5\u03c1\u03ae\u03bd\u03b1\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b7\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd: \u039c\u03af\u03b1 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03b9 \u03c4\u03b1 \u03c4\u03c1\u03af\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03b5\u03c6\u03cc\u03bc\u03b5\u03bd\u03b1 \u03bc\u03ad\u03bb\u03b7<\/h2>\n\n\n\n<p>\u03a3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03bf\u03cd \u03ac\u03be\u03bf\u03bd\u03b1, \u03bf\u03b9 \u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c4\u03c9\u03bd \u03b4\u03cd\u03bf \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ad\u03c2, \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b7 \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03b9\u03c3\u03b8\u03b7\u03c4\u03b9\u03ba\u03ae. \u0388\u03bd\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03cc: \u03bf\u03b9 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03ba\u03b9\u03bd\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7, \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03bf \u03b1\u03c0\u03bb\u03cc\u03c2 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2 \u00ab\u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b9\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03b4\u03b9\u03b1 \u03c4\u03c9\u03bd \u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd\u00bb \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03c3\u03c4\u03b5\u03af \u03ac\u03bc\u03b5\u03c3\u03b1.<\/p>\n\n\n\n<p>\u0393\u03b9\u03b1 \u03c4\u03bf \u03c0\u03b9\u03bf \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03b1\u03c0\u03bb\u03cc \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd, \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 Willis \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5 \u03b7\u03bb\u03b9\u03b1\u03ba\u03bf\u03cd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd, \u03c4\u03bf\u03c5 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03bf\u03cd\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7:<\/p>\n\n\n\n<div class=\"planetary-equation\" role=\"math\" aria-label=\"omega s minus omega c divided by omega r minus omega c equals negative Z r divided by Z s\" style=\"display:flex;justify-content:center;align-items:center;gap:.45em;margin:1.5em 0;font-family:Georgia,'Times New Roman',serif;font-size:1.3em;\"><span style=\"display:inline-flex;flex-direction:column;text-align:center;line-height:1.2;\"><span style=\"border-bottom:1px solid currentColor;padding:0 .25em .12em;\">\u03c9<sub>\u03bc\u03b9\u03ba\u03c1\u03cc<\/sub> \u2212 \u03c9<sub>\u03bd\u03c4\u03bf<\/sub><\/span><span style=\"padding:.12em .25em 0;\">\u03c9<sub>\u03c1<\/sub> \u2212 \u03c9<sub>\u03bd\u03c4\u03bf<\/sub><\/span><\/span><span>= \u2212<\/span><span style=\"display:inline-flex;flex-direction:column;text-align:center;line-height:1.2;\"><span style=\"border-bottom:1px solid currentColor;padding:0 .25em .12em;\">\u0396<sub>\u03c1<\/sub><\/span><span style=\"padding:.12em .25em 0;\">\u0396<sub>\u03bc\u03b9\u03ba\u03c1\u03cc<\/sub><\/span><\/span><\/div>\n\n\n\n<p>\u0395\u03b4\u03ce, <span class=\"math-inline\" role=\"math\" style=\"white-space:nowrap;font-family:Georgia,'Times New Roman',serif;\">\u03c9\u209b<\/span>, <span class=\"math-inline\" role=\"math\" style=\"white-space:nowrap;font-family:Georgia,'Times New Roman',serif;\">\u03c9\u1d63<\/span>, \u03ba\u03b1\u03b9 <span class=\"math-inline\" role=\"math\" style=\"white-space:nowrap;font-family:Georgia,'Times New Roman',serif;\">\u03c9\u03b3<\/span> \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ad\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03b7\u03bb\u03b9\u03b1\u03ba\u03bf\u03cd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd, \u03c4\u03bf\u03c5 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03bf\u03cd\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7, \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1\u00b7 <span class=\"math-inline\" role=\"math\" style=\"white-space:nowrap;font-family:Georgia,'Times New Roman',serif;\">Z\u209b<\/span> \u03ba\u03b1\u03b9 <span class=\"math-inline\" role=\"math\" style=\"white-space:nowrap;font-family:Georgia,'Times New Roman',serif;\">\u0396\u1d63<\/span> \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c4\u03c9\u03bd \u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd \u03c3\u03c4\u03bf\u03bd \u03ae\u03bb\u03b9\u03bf \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf\u03bd \u03b4\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf.<\/p>\n\n\n\n<p>\u03a4\u03bf \u03c0\u03b9\u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc \u03bc\u03ad\u03c1\u03bf\u03c2 \u03b1\u03c5\u03c4\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03bf, \u03b1\u03bb\u03bb\u03ac \u03c4\u03bf \u03b3\u03b5\u03b3\u03bf\u03bd\u03cc\u03c2 \u03cc\u03c4\u03b9 <span class=\"math-inline\" role=\"math\" style=\"white-space:nowrap;font-family:Georgia,'Times New Roman',serif;\">\u03c9\u03b3<\/span> \u03b1\u03c6\u03b1\u03b9\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03b4\u03cd\u03bf \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b5\u03c2. \u039c\u03b5 \u03ac\u03bb\u03bb\u03b1 \u03bb\u03cc\u03b3\u03b9\u03b1, \u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03b7\u03c4\u03ae \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b1\u03b6\u03af \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7.<\/p>\n\n\n\n<p>\u039c\u03cc\u03bb\u03b9\u03c2 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b3\u03bd\u03c9\u03c3\u03c4\u03ae \u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03ae \u03b7 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae \u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03bf\u03c0\u03bf\u03b9\u03c9\u03bd\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03b4\u03cd\u03bf \u03bc\u03b5\u03bb\u03ce\u03bd, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b5\u03af \u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03c4\u03c1\u03af\u03c4\u03bf\u03c5. \u03a4\u03bf \u03af\u03b4\u03b9\u03bf \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03b5\u03bd\u03c4\u03b5\u03bb\u03ce\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03ba\u03af\u03bd\u03b7\u03c3\u03b7\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03be\u03b5\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd.<\/p>\n\n\n\n<p>\u0393\u03b9\u03b1\u03c4\u03af \u03b1\u03c5\u03c4\u03cc \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03cc\u03c3\u03bf \u03b5\u03c5\u03c6\u03c5\u03ad\u03c2; \u039c\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5 \u03b7\u03bb\u03b9\u03b1\u03ba\u03bf\u03cd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd, \u03c4\u03bf\u03c5 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03bf\u03cd\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7, \u03b7 \u03c3\u03c4\u03b5\u03c1\u03ad\u03c9\u03c3\u03b7 \u03bf\u03c0\u03bf\u03b9\u03bf\u03c5\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03bc\u03ad\u03bb\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03c4\u03b7\u03c2 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03ac\u03bb\u03bb\u03b1 \u03b4\u03cd\u03bf \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03bf\u03cd\u03c2 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7\u03c2, \u03b1\u03cd\u03be\u03b7\u03c3\u03b7\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ae \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03b7\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2. \u0397 \u03b4\u03bf\u03bc\u03ae \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03b1\u03bc\u03b5\u03c4\u03ac\u03b2\u03bb\u03b7\u03c4\u03b7, \u03b1\u03bb\u03bb\u03ac \u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03ba\u03af\u03bd\u03b7\u03c3\u03b7\u03c2 \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1448\" height=\"1086\" src=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/10\/planetary-gear-motion.png\" alt=\"\u03a3\u03c7\u03ad\u03c3\u03b7 \u03ba\u03af\u03bd\u03b7\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd\" class=\"wp-image-17469\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-the-most-common-arrangement-ring-gear-fixed-sun-input-carrier-output\">3. \u0397 \u03c0\u03b9\u03bf \u03ba\u03bf\u03b9\u03bd\u03ae \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7: \u03a3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03af\u03bf\u03c5, \u03b5\u03af\u03c3\u03bf\u03b4\u03bf\u03c2 \u03b7\u03bb\u03af\u03bf\u03c5, \u03ad\u03be\u03bf\u03b4\u03bf\u03c2 \u03c6\u03bf\u03c1\u03ad\u03b1<\/h2>\n\n\n\n<p>\u0391\u03c5\u03c4\u03ae \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03ba\u03bf\u03b9\u03bd\u03ae \u03b2\u03b1\u03c3\u03b9\u03ba\u03ae \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03c3\u03b5 \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03b1 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03b3\u03b5\u03c6\u03c5\u03c1\u03ce\u03bd, \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b5\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03bf\u03bb\u03bb\u03ac \u03b2\u03b9\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ac \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03b1 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd. \u0391\u03c6\u03ae\u03c3\u03c4\u03b5 \u03c4\u03bf \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03af\u03bf\u03c5 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc, \u03ad\u03c4\u03c3\u03b9 <span class=\"math-inline\" role=\"math\" style=\"white-space:nowrap;font-family:Georgia,'Times New Roman',serif;\">\u03c9\u1d63 = 0<\/span>\u0391\u03bd\u03c4\u03b9\u03ba\u03b1\u03b8\u03b9\u03c3\u03c4\u03ce\u03bd\u03c4\u03b1\u03c2 \u03b1\u03c5\u03c4\u03ae\u03bd \u03c4\u03b7\u03bd \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b7 \u03c3\u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 Willis \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9:<\/p>\n\n\n\n<div class=\"planetary-equation\" role=\"math\" aria-label=\"i equals omega s divided by omega c equals one plus Z r divided by Z s\" style=\"display:flex;justify-content:center;align-items:center;gap:.45em;margin:1.5em 0;font-family:Georgia,'Times New Roman',serif;font-size:1.3em;\"><span><i>\u03b5\u03b3\u03ce<\/i> =<\/span><span style=\"display:inline-flex;flex-direction:column;text-align:center;line-height:1.2;\"><span style=\"border-bottom:1px solid currentColor;padding:0 .25em .12em;\">\u03c9<sub>\u03bc\u03b9\u03ba\u03c1\u03cc<\/sub><\/span><span style=\"padding:.12em .25em 0;\">\u03c9<sub>\u03bd\u03c4\u03bf<\/sub><\/span><\/span><span>= 1 +<\/span><span style=\"display:inline-flex;flex-direction:column;text-align:center;line-height:1.2;\"><span style=\"border-bottom:1px solid currentColor;padding:0 .25em .12em;\">\u0396<sub>\u03c1<\/sub><\/span><span style=\"padding:.12em .25em 0;\">\u0396<sub>\u03bc\u03b9\u03ba\u03c1\u03cc<\/sub><\/span><\/span><\/div>\n\n\n\n<p>\u0391\u03bd \u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2 \u03ad\u03c7\u03b5\u03b9 20 \u03b4\u03cc\u03bd\u03c4\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03bf \u03b4\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03ad\u03c7\u03b5\u03b9 60 \u03b4\u03cc\u03bd\u03c4\u03b9\u03b1:<\/p>\n\n\n\n<div class=\"planetary-equation\" role=\"math\" aria-label=\"i equals one plus sixty divided by twenty equals four\" style=\"display:flex;justify-content:center;align-items:center;gap:.45em;margin:1.5em 0;font-family:Georgia,'Times New Roman',serif;font-size:1.3em;\"><span><i>\u03b5\u03b3\u03ce<\/i> = 1 +<\/span><span style=\"display:inline-flex;flex-direction:column;text-align:center;line-height:1.2;\"><span style=\"border-bottom:1px solid currentColor;padding:0 .25em .12em;\">60<\/span><span style=\"padding:.12em .25em 0;\">20<\/span><\/span><span>= 4<\/span><\/div>\n\n\n\n<p>\u039f \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03c4\u03b1\u03b9 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b9\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ad\u03c2, \u03b5\u03bd\u03ce \u03bf \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2 \u03c6\u03bf\u03c1\u03ad\u03b1\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03bc\u03af\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae. \u0395\u03ac\u03bd \u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03c4\u03bf\u03c5 \u03b7\u03bb\u03b9\u03b1\u03ba\u03bf\u03cd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03b5\u03af\u03bd\u03b1\u03b9 1.200 r\/min, \u03c4\u03cc\u03c4\u03b5, \u03b1\u03b3\u03bd\u03bf\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b9\u03c2 \u03b1\u03c0\u03ce\u03bb\u03b5\u03b9\u03b5\u03c2, \u03b7 \u03b8\u03b5\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5 \u03c4\u03bf\u03c5 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03c6\u03bf\u03c1\u03ad\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 300 r\/min.<\/p>\n\n\n\n<p>\u0391\u03c5\u03c4\u03ae \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03bc\u03b5 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc \u03c1\u03bf\u03c0\u03ae\u03c2. \u0398\u03b5\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03ac, \u03cc\u03c4\u03b1\u03bd \u03b1\u03b3\u03bd\u03bf\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03b1\u03c0\u03ce\u03bb\u03b5\u03b9\u03b5\u03c2, \u03b7 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c3\u03b5 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03ad\u03bd\u03b1 \u03c4\u03ad\u03c4\u03b1\u03c1\u03c4\u03bf \u03b1\u03c5\u03be\u03ac\u03bd\u03b5\u03b9 \u03b1\u03bd\u03ac\u03bb\u03bf\u03b3\u03b1 \u03c4\u03b7 \u03c1\u03bf\u03c0\u03ae \u03b5\u03be\u03cc\u03b4\u03bf\u03c5. \u039f \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b5\u03be\u03bf\u03c0\u03bb\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03bd\u03b1 \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c5\u03c0\u03cc\u03c8\u03b7 \u03c4\u03b9\u03c2 \u03b1\u03c0\u03ce\u03bb\u03b5\u03b9\u03b5\u03c2 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd, \u03c4\u03b9\u03c2 \u03b1\u03c0\u03ce\u03bb\u03b5\u03b9\u03b5\u03c2 \u03c1\u03bf\u03c5\u03bb\u03b5\u03bc\u03ac\u03bd, \u03c4\u03b9\u03c2 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b5\u03c2 \u03bb\u03af\u03c0\u03b1\u03bd\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03bf\u03c5\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b5\u03c2.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1448\" height=\"1086\" src=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/10\/fixed-ring-gear-ratio.png\" alt=\"\u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03bc\u03b5 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03af\u03bf\u03c5\" class=\"wp-image-17470\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-the-same-gears-produce-completely-different-results-when-a-different-member-is-fixed\">4. \u03a4\u03b1 \u03af\u03b4\u03b9\u03b1 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03bd \u03b5\u03bd\u03c4\u03b5\u03bb\u03ce\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03cc\u03c4\u03b1\u03bd \u03b4\u03b9\u03bf\u03c1\u03b8\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03cc \u03bc\u03ad\u03bb\u03bf\u03c2<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u03a3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc \u03bc\u03ad\u03bb\u03bf\u03c2<\/th><th>\u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae<\/th><th>\u03a0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03ae<\/th><th>\u03a4\u03c5\u03c0\u03b9\u03ba\u03cc \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1<\/th><th>\u03a7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc\u03c2<\/th><\/tr><\/thead><tbody><tr><td>\u0394\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd<\/td><td>\u0391\u03bd\u03c4\u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03b5\u03be\u03bf\u03c0\u03bb\u03b9\u03c3\u03bc\u03cc\u03c2<\/td><td>\u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03bf\u03c6\u03bf\u03c1\u03ad\u03b1\u03c2<\/td><td>\u039c\u03b5\u03af\u03c9\u03c3\u03b7, \u03af\u03b4\u03b9\u03b1 \u03ba\u03b1\u03c4\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7<\/td><td>\u0397 \u03c0\u03b9\u03bf \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae \u03c1\u03cd\u03b8\u03bc\u03b9\u03c3\u03b7 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7\u03c2<\/td><\/tr><tr><td>\u0391\u03bd\u03c4\u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03b5\u03be\u03bf\u03c0\u03bb\u03b9\u03c3\u03bc\u03cc\u03c2<\/td><td>\u0394\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd<\/td><td>\u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03bf\u03c6\u03bf\u03c1\u03ad\u03b1\u03c2<\/td><td>\u039c\u03b5\u03af\u03c9\u03c3\u03b7, \u03af\u03b4\u03b9\u03b1 \u03ba\u03b1\u03c4\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7<\/td><td>\u039c\u03b9\u03b1 \u03c0\u03b9\u03bf \u03ae\u03c0\u03b9\u03b1 \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1<\/td><\/tr><tr><td>\u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03bf\u03c6\u03bf\u03c1\u03ad\u03b1\u03c2<\/td><td>\u0391\u03bd\u03c4\u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03b5\u03be\u03bf\u03c0\u03bb\u03b9\u03c3\u03bc\u03cc\u03c2<\/td><td>\u0394\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd<\/td><td>\u0391\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03b7 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae<\/td><td>\u0394\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03b7 \u03bc\u03b5\u03c4\u03ac\u03b4\u03bf\u03c3\u03b7 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03bf\u03cd \u03ac\u03be\u03bf\u03bd\u03b1<\/td><\/tr><tr><td>\u039a\u03b1\u03bd\u03ad\u03bd\u03b1\u00b7 \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b4\u03cd\u03bf \u03bc\u03ad\u03bb\u03b7<\/td><td>\u0395\u03be\u03b1\u03c1\u03c4\u03ac\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5<\/td><td>\u03a4\u03c1\u03af\u03c4\u03bf \u03bc\u03ad\u03bb\u03bf\u03c2<\/td><td>\u039c\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1<\/td><td>\u0392\u03ac\u03c3\u03b7 \u03b1\u03c5\u03c4\u03cc\u03bc\u03b1\u03c4\u03bf\u03c5 \u03ba\u03b9\u03b2\u03c9\u03c4\u03af\u03bf\u03c5 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03b9\u03c3\u03c7\u03cd\u03bf\u03c2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u039c\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7 \u03c0\u03b1\u03c1\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03ad\u03c7\u03b5\u03b9 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ac \u03bc\u03cc\u03bd\u03bf \u03bc\u03af\u03b1 \u03c3\u03c7\u03ad\u03c3\u03b7. \u0397 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03ba\u03b1\u03b8\u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03bc\u03cc\u03bd\u03bf \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c4\u03c9\u03bd \u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd, \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c0\u03bf\u03b9\u03bf \u03bc\u03ad\u03bb\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc, \u03c0\u03bf\u03b9\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b5\u03af\u03c3\u03bf\u03b4\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03bf\u03b9\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03ad\u03be\u03bf\u03b4\u03bf\u03c2.<\/p>\n\n\n\n<p>\u0395\u03ac\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c4\u03c1\u03af\u03b1 \u03ba\u03cd\u03c1\u03b9\u03b1 \u03bc\u03ad\u03bb\u03b7 \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03ad\u03bd\u03b1 \u03bc\u03ad\u03bb\u03bf\u03c2 \u03b5\u03bb\u03ad\u03b3\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c3\u03c5\u03bc\u03c0\u03bb\u03ad\u03ba\u03c4\u03b7, \u03c6\u03c1\u03ad\u03bd\u03bf \u03ae \u03ac\u03bb\u03bb\u03b7 \u03c0\u03b7\u03b3\u03ae \u03b9\u03c3\u03c7\u03cd\u03bf\u03c2, \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03c0\u03b9\u03bf \u03c3\u03cd\u03bd\u03b8\u03b5\u03c4\u03b5\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b5\u03c2 \u03ba\u03b9\u03b2\u03c9\u03c4\u03af\u03bf\u03c5 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ce\u03bd \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03ae \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03b9\u03c3\u03c7\u03cd\u03bf\u03c2. \u0391\u03c5\u03c4\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03c4\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b5\u03c5\u03c1\u03ad\u03c9\u03c2 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03cc\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03b1 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c5\u03b2\u03c1\u03b9\u03b4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03b9\u03c3\u03c7\u03cd\u03bf\u03c2.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1448\" height=\"1086\" src=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/10\/planetary-gear-configurations.png\" alt=\"\u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03bb\u03bb\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc \u03bc\u03ad\u03bb\u03bf\u03c2\" class=\"wp-image-17471\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-why-can-a-planetary-gear-set-transmit-high-torque-in-such-a-small-space\">5. \u0393\u03b9\u03b1\u03c4\u03af \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03b4\u03ce\u03c3\u03b5\u03b9 \u03c5\u03c8\u03b7\u03bb\u03ae \u03c1\u03bf\u03c0\u03ae \u03c3\u03b5 \u03c4\u03cc\u03c3\u03bf \u03bc\u03b9\u03ba\u03c1\u03cc \u03c7\u03ce\u03c1\u03bf;<\/h2>\n\n\n\n<p>\u039f \u03bb\u03cc\u03b3\u03bf\u03c2 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03c5\u03c3\u03c4\u03b7\u03c1\u03b9\u03ce\u03b4\u03b7\u03c2. \u03a4\u03bf \u03ba\u03bb\u03b5\u03b9\u03b4\u03af \u03b5\u03af\u03bd\u03b1\u03b9 \u00ab\u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ac \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c0\u03bb\u03ad\u03b3\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c3\u03c5\u03bd \u03bf\u03bc\u03bf\u03b1\u03be\u03bf\u03bd\u03b9\u03ba\u03ae \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7\u00bb.<\/p>\n\n\n\n<p>\u03a3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03b6\u03b5\u03cd\u03b3\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd, \u03c4\u03bf \u03ba\u03cd\u03c1\u03b9\u03bf \u03c6\u03bf\u03c1\u03c4\u03af\u03bf \u03c3\u03c5\u03b3\u03ba\u03b5\u03bd\u03c4\u03c1\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c2 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2. \u03a3\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc, \u03c0\u03bf\u03bb\u03bb\u03ac \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 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\u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03bf\u03b9\u03c1\u03b1\u03c3\u03c4\u03b5\u03af \u03c3\u03b5 \u03c0\u03bf\u03bb\u03bb\u03ac \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1.<\/p>\n\n\n\n<p>\u03a4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1, \u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2, \u03bf \u03b4\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03bf \u03c6\u03bf\u03c1\u03ad\u03b1\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03ce\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03b7\u03b8\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf\u03bd \u03af\u03b4\u03b9\u03bf \u03ac\u03be\u03bf\u03bd\u03b1. \u039f\u03b9 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5 \u03b4\u03b5\u03bd \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03bb\u03b5\u03c5\u03c1\u03b9\u03ba\u03ac \u03bc\u03b5\u03c4\u03b1\u03c4\u03bf\u03c0\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03b9, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03c0\u03b1\u03c1\u03ac\u03bb\u03bb\u03b7\u03bb\u03bf\u03c5 \u03ac\u03be\u03bf\u03bd\u03b1. \u03a4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c5\u03c8\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b7 \u03c0\u03c5\u03ba\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c1\u03bf\u03c0\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03b9\u03bf \u03c3\u03c5\u03bc\u03c0\u03b1\u03b3\u03ae\u03c2 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03c3\u03b5 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03bf \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2.<\/p>\n\n\n\n<p>\u03a9\u03c3\u03c4\u03cc\u03c3\u03bf, \u03b7 \u03c6\u03c1\u03ac\u03c3\u03b7 \u00ab\u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf\u03b9 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03af \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03bf\u03af \u03c4\u03c1\u03bf\u03c7\u03bf\u03af\u00bb \u03b4\u03b5\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03b7\u03c4\u03ae \u03c0\u03bf\u03bb\u03cd \u03b1\u03c0\u03bb\u03ac.<\/p>\n\n\n\n<p>\u0397 \u03b1\u03cd\u03be\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03c4\u03c9\u03bd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd 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\u03c6\u03bf\u03c1\u03c4\u03af\u03bf\u03c5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1448\" height=\"1086\" src=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/10\/planetary-gear-load-sharing.png\" alt=\"\u03a0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ac \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03c0\u03bf\u03c5 \u03b5\u03bc\u03c0\u03bb\u03ad\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03bf\u03b9\u03c1\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c6\u03bf\u03c1\u03c4\u03af\u03bf\" class=\"wp-image-17472\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-why-are-planetary-gears-particularly-popular-in-automatic-transmissions\">6. \u0393\u03b9\u03b1\u03c4\u03af \u03c4\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac 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\u03c0\u03b9\u03bf \u03c3\u03c5\u03bc\u03c0\u03b1\u03b3\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03bb\u03bf\u03b3\u03b9\u03ba\u03ae \u03b1\u03bb\u03bb\u03b1\u03b3\u03ae\u03c2 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b9\u03bf \u03b5\u03c5\u03ad\u03bb\u03b9\u03ba\u03c4\u03b7.<\/p>\n\n\n\n<p>\u03a0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c4\u03bf\u03bd\u03b9\u03c3\u03c4\u03b5\u03af \u03cc\u03c4\u03b9 \u03c4\u03b1 \u03c3\u03cd\u03b3\u03c7\u03c1\u03bf\u03bd\u03b1 \u03b1\u03c5\u03c4\u03cc\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03b1 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03c3\u03cd\u03bd\u03b8\u03b5\u03c4\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1, \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ad\u03c2 \u03c3\u03b5\u03b9\u03c1\u03ad\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03bf\u03cd\u03c2 \u03b4\u03b9\u03b1\u03c6\u03cc\u03c1\u03c9\u03bd \u03c3\u03c5\u03bc\u03c0\u03bb\u03b5\u03ba\u03c4\u03ce\u03bd. \u039f\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03af \u03c3\u03c7\u03ad\u03c3\u03b7\u03c2 \u03bc\u03b5\u03c4\u03ac\u03b4\u03bf\u03c3\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03bf\u03bb\u03cd \u03c0\u03b9\u03bf \u03c0\u03b5\u03c1\u03af\u03c0\u03bb\u03bf\u03ba\u03bf\u03b9 \u03b1\u03c0\u03cc \u03b5\u03ba\u03b5\u03af\u03bd\u03bf\u03c5\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03b1\u03c0\u03bb\u03bf\u03cd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1448\" height=\"1086\" src=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/10\/automatic-transmission-planetary-gears.png\" alt=\"\u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03bf \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03c3\u03b5 \u03b1\u03c5\u03c4\u03cc\u03bc\u03b1\u03c4\u03bf \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03bf \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd\" class=\"wp-image-17473\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-why-do-overhead-cranes-and-construction-machinery-rely-on-planetary-reducers\">7. \u0393\u03b9\u03b1\u03c4\u03af \u03bf\u03b9 \u03b5\u03bd\u03b1\u03ad\u03c1\u03b9\u03bf\u03b9 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03af \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ce\u03bd \u03b2\u03b1\u03c3\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b5\u03c2;<\/h2>\n\n\n\n<p>\u03a4\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b2\u03c1\u03b5\u03b8\u03bf\u03cd\u03bd \u03c3\u03b5 \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b5\u03c2 \u03ba\u03af\u03bd\u03b7\u03c3\u03b7\u03c2 \u03b5\u03ba\u03c3\u03ba\u03b1\u03c6\u03ad\u03c9\u03bd, \u03c3\u03b5 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03ba\u03af\u03bd\u03b7\u03c3\u03b7\u03c2 \u03b3\u03b5\u03c1\u03b1\u03bd\u03ce\u03bd, \u03c3\u03b5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2, <a href=\"https:\/\/www.dgcrane.com\/el\/overhead-crane-gearbox\/\">\u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03b1 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03bc\u03b5 \u03b2\u03b1\u03c1\u03bf\u03cd\u03bb\u03ba\u03bf \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03cd<\/a>, \u03ba\u03b1\u03b9 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b5\u03c2 \u03b2\u03b9\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ad\u03c2 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 \u03ba\u03af\u03bd\u03b7\u03c3\u03b7\u03c2.<\/p>\n\n\n\n<p>\u039f\u03b9 \u03b5\u03bd\u03b1\u03ad\u03c1\u03b9\u03bf\u03b9 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03af \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ce\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03bb\u03cd\u03c3\u03bf\u03c5\u03bd \u03bc\u03b9\u03b1 \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03c3\u03cd\u03b3\u03ba\u03c1\u03bf\u03c5\u03c3\u03b7: \u03bf \u03c5\u03b4\u03c1\u03b1\u03c5\u03bb\u03b9\u03ba\u03cc\u03c2 \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b1\u03c2 \u03ae \u03bf \u03b7\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b1\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03bc\u03b5 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03c5\u03c8\u03b7\u03bb\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1, \u03b5\u03bd\u03ce \u03bf \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b9\u03bf\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2, <a href=\"https:\/\/www.dgcrane.com\/el\/products\/rope-drums\/\">\u03c4\u03cd\u03bc\u03c0\u03b1\u03bd\u03bf \u03c3\u03c7\u03bf\u03b9\u03bd\u03b9\u03bf\u03cd<\/a>, \u03ae \u03bf \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2 \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03c7\u03b1\u03bc\u03b7\u03bb\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c5\u03c8\u03b7\u03bb\u03ae \u03c1\u03bf\u03c0\u03ae. \u03a4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1, \u03bf \u03c7\u03ce\u03c1\u03bf\u03c2 \u03b5\u03b3\u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c5\u03c7\u03bd\u03ac \u03c0\u03bf\u03bb\u03cd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c2.<\/p>\n\n\n\n<p>\u0388\u03bd\u03b1\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b9\u03c2 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b5\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b1\u03c2: \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03bc\u03bf\u03b1\u03be\u03bf\u03bd\u03b9\u03ba\u03cc\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bc\u03c0\u03b1\u03b3\u03ae\u03c2, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf \u03bb\u03cc\u03b3\u03bf \u03bc\u03b5\u03af\u03c9\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ac \u03c3\u03c4\u03ac\u03b4\u03b9\u03b1 \u03c3\u03b5 \u03c3\u03b5\u03b9\u03c1\u03ac \u03b3\u03b9\u03b1 \u03c0\u03b5\u03c1\u03b1\u03b9\u03c4\u03ad\u03c1\u03c9 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03cd\u03be\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c1\u03bf\u03c0\u03ae\u03c2 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5.<\/p>\n\n\n\n<p>\u03a9\u03c3\u03c4\u03cc\u03c3\u03bf, \u03ad\u03bd\u03b1 \u03c3\u03b5\u03c4 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b4\u03b5\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03ba\u03b1\u03b8\u03bf\u03bb\u03b9\u03ba\u03ae \u03bb\u03cd\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03b1\u03c0\u03bb\u03ce\u03c2 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03b3\u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03ae \u03c4\u03bf\u03c5. \u039f \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03bd\u03b1 \u03b5\u03bb\u03ad\u03b3\u03c7\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bd\u03c4\u03bf\u03c7\u03ae \u03b5\u03c0\u03b1\u03c6\u03ae\u03c2 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c6\u03ac\u03bd\u03b5\u03b9\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03bf\u03bd\u03c4\u03b9\u03bf\u03cd, \u03c4\u03b7\u03bd \u03b1\u03bd\u03c4\u03bf\u03c7\u03ae \u03ba\u03ac\u03bc\u03c8\u03b7\u03c2 \u03bc\u03b5 \u03c4\u03b7 \u03c1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03bf\u03bd\u03c4\u03b9\u03bf\u03cd, \u03c4\u03b7 \u03b4\u03b9\u03ac\u03c1\u03ba\u03b5\u03b9\u03b1 \u03b6\u03c9\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03c1\u03bf\u03c5\u03bb\u03b5\u03bc\u03ac\u03bd, \u03c4\u03bf \u03c6\u03bf\u03c1\u03c4\u03af\u03bf \u03c4\u03bf\u03c5 \u03c0\u03b5\u03af\u03c1\u03bf\u03c5 \u03c4\u03bf\u03c5 \u03c0\u03bb\u03b1\u03bd\u03ae\u03c4\u03b7, \u03c4\u03b7 \u03bb\u03af\u03c0\u03b1\u03bd\u03c3\u03b7, \u03c4\u03b7 \u03b8\u03b5\u03c1\u03bc\u03b9\u03ba\u03ae \u03b9\u03c3\u03bf\u03c1\u03c1\u03bf\u03c0\u03af\u03b1, \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03b4\u03bf\u03c3\u03b7, \u03c4\u03bf \u03c6\u03bf\u03c1\u03c4\u03af\u03bf \u03ba\u03c1\u03bf\u03cd\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03b1\u03c0\u03b1\u03b9\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c0\u03ad\u03b4\u03b7\u03c3\u03b7\u03c2.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1448\" height=\"1086\" src=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/10\/crane-planetary-reducer-applications.png\" alt=\"\u03a0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03af \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b5\u03c2 \u03c3\u03b5 \u03b5\u03bd\u03b1\u03ad\u03c1\u03b9\u03bf\u03c5\u03c2 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ce\u03bd\" class=\"wp-image-17474\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1448\" height=\"1086\" src=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/10\/planetary-reducer-structure.png\" alt=\"\u0394\u03bf\u03bc\u03ae \u03ba\u03b1\u03b9 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1\" class=\"wp-image-17475\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-an-easily-overlooked-geometric-condition-tooth-counts-cannot-be-chosen-arbitrarily\">8. \u039c\u03b9\u03b1 \u03b5\u03cd\u03ba\u03bf\u03bb\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b2\u03bb\u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b7: \u039f \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03c0\u03b9\u03bb\u03b5\u03b3\u03b5\u03af \u03b1\u03c5\u03b8\u03b1\u03af\u03c1\u03b5\u03c4\u03b1<\/h2>\n\n\n\n<p>\u03a3\u03b5 \u03ad\u03bd\u03b1 \u03b1\u03c0\u03bb\u03cc \u03c3\u03b5\u03c4 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd, \u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2, \u03bf\u03b9 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03af \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03bf\u03af \u03c4\u03c1\u03bf\u03c7\u03bf\u03af \u03ba\u03b1\u03b9 \u03bf \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03ae\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd \u03bc\u03b9\u03b1 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ae \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7. \u0393\u03b9\u03b1 \u03bc\u03b9\u03b1 \u03b1\u03c0\u03bb\u03ae \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae, \u03b7 \u03c3\u03c5\u03bd\u03ae\u03b8\u03b7\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n\n\n\n<div class=\"planetary-equation\" role=\"math\" aria-label=\"Z r equals Z s plus two Z p\" style=\"display:flex;justify-content:center;align-items:center;gap:.45em;margin:1.5em 0;font-family:Georgia,'Times New Roman',serif;font-size:1.3em;\"><span>\u0396<sub>\u03c1<\/sub> = \u0396<sub>\u03bc\u03b9\u03ba\u03c1\u03cc<\/sub> + 2Z<sub>\u03c0<\/sub><\/span><\/div>\n\n\n\n<p>\u0395\u03ac\u03bd \u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2 \u03ad\u03c7\u03b5\u03b9 20 \u03b4\u03cc\u03bd\u03c4\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03bf \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2 \u03ad\u03c7\u03b5\u03b9 20 \u03b4\u03cc\u03bd\u03c4\u03b9\u03b1, \u03bf \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03ae\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2 \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ac 60 \u03b4\u03cc\u03bd\u03c4\u03b9\u03b1 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03ae\u03c2 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2.<\/p>\n\n\n\n<p>\u0395\u03ac\u03bd \u03c0\u03c1\u03cc\u03ba\u03b5\u03b9\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03b7\u03b8\u03bf\u03cd\u03bd \u03bf\u03bc\u03bf\u03b9\u03cc\u03bc\u03bf\u03c1\u03c6\u03b1 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ac \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1, \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03bd\u03b1 \u03b5\u03bb\u03b5\u03b3\u03c7\u03b8\u03b5\u03af \u03b7 \u03c6\u03ac\u03c3\u03b7 \u03c3\u03c5\u03bd\u03b1\u03c1\u03bc\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03b9\u03b8\u03b1\u03bd\u03ae \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03b5\u03bc\u03b2\u03bf\u03bb\u03ae \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b3\u03b5\u03b9\u03c4\u03bf\u03bd\u03b9\u03ba\u03ce\u03bd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd. \u039c\u03b5 \u03ac\u03bb\u03bb\u03b1 \u03bb\u03cc\u03b3\u03b9\u03b1, \u03bf \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03cc\u03bd\u03bf \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03b2\u03ae\u03bc\u03b1. \u0391\u03c0\u03b1\u03b9\u03c4\u03b5\u03af\u03c4\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b1\u03b9\u03c4\u03ad\u03c1\u03c9 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03c4\u03b5\u03af \u03c4\u03bf \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03b1\u03c3\u03c4\u03cc, \u03c3\u03c5\u03bd\u03b1\u03c1\u03bc\u03bf\u03bb\u03bf\u03b3\u03ae\u03c3\u03b9\u03bc\u03bf \u03ba\u03b1\u03b9 \u03b9\u03ba\u03b1\u03bd\u03cc \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c4\u03bf \u03c6\u03bf\u03c1\u03c4\u03af\u03bf.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-four-statements-are-enough-to-understand-a-planetary-gear-set\">9. \u03a4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b9\u03c2 \u03b4\u03b7\u03bb\u03ce\u03c3\u03b5\u03b9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c1\u03ba\u03b5\u03c4\u03ad\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03ae\u03c3\u03b5\u03c4\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03b5\u03c4 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u039f \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf. \u039f\u03b9 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03af \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03bf\u03af \u03c4\u03c1\u03bf\u03c7\u03bf\u03af \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03ae\u03bb\u03b9\u03bf. \u039f \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03ae\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc\u03c2 \u03c4\u03c1\u03bf\u03c7\u03cc\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03bf \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2 \u03c6\u03bf\u03c1\u03ad\u03b1\u03c2 \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03bf\u03cd\u03c2 \u03c4\u03c1\u03bf\u03c7\u03bf\u03cd\u03c2 \u03c9\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1.<\/li>\n\n\n\n<li>\u039f \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b3\u03b5\u03bd\u03b9\u03ba\u03ac \u03b4\u03b5\u03bd \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7 \u03b8\u03b5\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7, \u03b1\u03bb\u03bb\u03ac \u03c4\u03b1 \u03b3\u03c1\u03b1\u03bd\u03ac\u03b6\u03b9\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03bc\u03bf\u03b9\u03c1\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c6\u03bf\u03c1\u03c4\u03af\u03bf \u03cc\u03c4\u03b1\u03bd \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c6\u03bf\u03c1\u03c4\u03af\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03c4\u03b5\u03af \u03c3\u03c9\u03c3\u03c4\u03ac.<\/li>\n\n\n\n<li>\u03a4\u03bf \u03af\u03b4\u03b9\u03bf \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7\u03c2, \u03b1\u03cd\u03be\u03b7\u03c3\u03b7\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ae \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03b7\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03b1\u03bb\u03bb\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc \u03bc\u03ad\u03bb\u03bf\u03c2, \u03c4\u03bf \u03bc\u03ad\u03bb\u03bf\u03c2 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03bc\u03ad\u03bb\u03bf\u03c2 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5.<\/li>\n\n\n\n<li>\u0397 \u03c0\u03b9\u03bf \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b8\u03bf\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03bf\u03bd \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03ae \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc \u03c4\u03c1\u03bf\u03c7\u03cc, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c4\u03bf\u03bd \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc \u03c4\u03c1\u03bf\u03c7\u03cc \u03c9\u03c2 \u03b5\u03af\u03c3\u03bf\u03b4\u03bf \u03ba\u03b1\u03b9 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c4\u03bf\u03bd \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c9\u03c2 \u03ad\u03be\u03bf\u03b4\u03bf. \u03a3\u03b5 \u03b1\u03c5\u03c4\u03ae\u03bd \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7, <span class=\"math-inline\" role=\"math\" style=\"white-space:nowrap;font-family:Georgia,'Times New Roman',serif;\">i = 1 + Z\u1d63 \/ Z\u209b<\/span>.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"final-note-its-real-strength-is-not-the-number-of-gears-but-the-use-of-degrees-of-freedom\">\u03a4\u03b5\u03bb\u03b9\u03ba\u03ae \u03c3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7: \u0397 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd 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\u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ac\u03bc\u03b5\u03c3\u03b7. \u0388\u03bd\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf \u03bc\u03b5 \u03bc\u03b9\u03b1 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03b1\u03bd\u03b8\u03c1\u03ce\u03c0\u03c9\u03bd \u03c0\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b1\u03b6\u03af \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03b5\u03c6\u03cc\u03bc\u03b5\u03bd\u03b7 \u03c0\u03bb\u03b1\u03c4\u03c6\u03cc\u03c1\u03bc\u03b1. \u0397 \u03af\u03b4\u03b9\u03b1 \u03b7 \u03c0\u03bb\u03b1\u03c4\u03c6\u03cc\u03c1\u03bc\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ba\u03b9\u03bd\u03b7\u03b8\u03b5\u03af, \u03cc\u03c0\u03c9\u03c2 \u03ba\u03b1\u03b9 \u03bf \u03b5\u03be\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc\u03c2 \u03b4\u03b1\u03ba\u03c4\u03cd\u03bb\u03b9\u03bf\u03c2, \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03bf \u03af\u03b4\u03b9\u03bf\u03c2 \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03cc\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03b5\u03bd\u03c4\u03b5\u03bb\u03ce\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1.<\/p>\n\n\n\n<p>\u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03c0\u03b9\u03bf \u03c3\u03c5\u03bd\u03b1\u03c1\u03c0\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03c3\u03b5\u03c4 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd. \u039c\u03b5 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ac \u03b5\u03be\u03b1\u03c1\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 - \u03c4\u03bf\u03bd \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc \u03c4\u03c1\u03bf\u03c7\u03cc, \u03c4\u03bf\u03c5\u03c2 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c4\u03c1\u03bf\u03c7\u03bf\u03cd\u03c2, \u03c4\u03bf\u03bd \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03b9\u03bf\u03b5\u03b9\u03b4\u03ae \u03bf\u03b4\u03bf\u03bd\u03c4\u03c9\u03c4\u03cc \u03c4\u03c1\u03bf\u03c7\u03cc \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03c6\u03bf\u03c1\u03ad\u03b1 \u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03ce\u03bd - \u03c3\u03c5\u03bd\u03b4\u03c5\u03ac\u03b6\u03b5\u03b9 \u03c3\u03c5\u03bc\u03c0\u03b1\u03b3\u03ae \u03b4\u03bf\u03bc\u03ae, \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ad\u03c2 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