{"id":2936,"date":"2019-03-13T14:36:09","date_gmt":"2019-03-13T14:36:09","guid":{"rendered":"http:\/\/physicscatalyst.com\/graduation\/?p=2936"},"modified":"2021-06-05T13:45:27","modified_gmt":"2021-06-05T13:45:27","slug":"keplers-law","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/graduation\/keplers-law\/","title":{"rendered":"Kepler’s Law of Planetary motion (Central Forces)"},"content":{"rendered":"
\n

Motion Under Central forces (series List)<\/strong><\/h4>\n

Introduction<\/a>
\nEquation of motion under central forces<\/a>
\nLaw of conservation of angular momentum<\/a>
\nLaw of conservation of energy<\/a>
\nEquation of motion (equation of path of moving particle)<\/a>
\n
\nForm of motion under the effect of central forces
\n<\/a><\/p>\n<\/div>\n

Kepler’s Law of Planetary motion<\/h2>\n
This article is about Kepler's Law of Planetary motion. This article is for B.Sc. physics first year students under the subject Mechanics.<\/pre>\n
Kepler’s First Law<\/h3>\n
Each planet revolves round sun in an elliptical orbit such that sun is situated at one of its focus.<\/p>\n
Kepler’s Second Law<\/h3>\n
Area swept by line joining sun and planet per second is constant i.e., areal velocity of planet is constant.
\n$$\\Rightarrow \\quad \\farc{1}{2}r^2 \\frac{d\\theta}{dt}=const.$$<\/p>\n
Kepler’s Third Law<\/h3>\n
Square of time taken by planet to revolve in the orbital motion i.e., $T^2$ is proportional to the cube of semi major axis of their elliptical orbit i.e., $a^3$
\n$$\\Rightarrow \\quad t^2 \\propto a^3$$<\/p>\n
Newton’s Conclusion from Kepler’s Law<\/h2>\n
 <\/p>\n","protected":false},"excerpt":{"rendered":"
Motion Under Central forces (series List) Introduction Equation of motion under central forces Law of conservation of angular momentum Law of conservation of energy Equation of motion (equation of path of moving particle) Form of motion under the effect of central forces Kepler’s Law of Planetary motion This article is about Kepler’s Law of Planetary […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[10],"tags":[],"class_list":["post-2936","post","type-post","status-publish","format-standard","hentry","category-newtonian-mechanics"],"yoast_head":"\nKepler's Law of Planetary motion (Motion Under Central Forces)<\/title>\n<meta name=\"description\" content=\"This article is about Kepler's Law of Planetary motion. 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