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Let the speed of the planet at the perihelion P be V_pand the sun-planet distance SP be r_p Relates (r_p,V_P )to the corresponding quantities at the aphelion (r_(A),V_A)Will the planet take equal times to tranverse BAC and CPB ?

Answer» <html><body><p></p>Solution :<img src="https://doubtnut-static.s.llnwi.net/static/physics_images/AKS_NEO_CAO_PHY_XI_V01_MP2_C09_SLV_004_S01.png" width="80%"/> <br/> According to <a href="https://interviewquestions.tuteehub.com/tag/law-184" style="font-weight:bold;" target="_blank" title="Click to know more about LAW">LAW</a> of <a href="https://interviewquestions.tuteehub.com/tag/conservation-929810" style="font-weight:bold;" target="_blank" title="Click to know more about CONSERVATION">CONSERVATION</a> of angular <a href="https://interviewquestions.tuteehub.com/tag/momentum-1100588" style="font-weight:bold;" target="_blank" title="Click to know more about MOMENTUM">MOMENTUM</a>. Angular momentum of the planet at P = Angular momentum of the planet at A<br/> `implies mV_pr_(p) = mV_(A)r_(A) " (or) " V_p/V_A=r_(p)/r_(p)` Since `r_A gt r_p` so `V_p gt V_A` <br/> Here area SBAC is greater than the area SCPB. <br/> According to Kepler.s second law, as areal velocity of the planet , is constant around the sun. i.e. equal areas areas are swept on equal times, hence the planet will take longer time to traverse BAC then <a href="https://interviewquestions.tuteehub.com/tag/cpb-410333" style="font-weight:bold;" target="_blank" title="Click to know more about CPB">CPB</a>.</body></html>


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