A planet revolves around sun in an elliptical orbit of ecentricity 'e'. If 'T' is the time period of the planet then show that the time spent by the planet between the end of the minor axis and close to sun it T((1)/(4)-(e)/(2pi))

A planet revolves around sun in an elliptical orbit of ecentricity 'e'

1.	A planet revolves around sun in an elliptical orbit of ecentricity 'e'. If 'T' is the time period of the planet then show that the time spent by the planet between the end of the minor axis and close to sun it T((1)/(4)-(e)/(2pi))
Answer» <html><body><p></p>Solution :`(dA)/(d t)` = constant, <br/> `(t_(AB))/(T) = ("(Area) SAB")/("(Area) ellipse") = ((<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a> ab)/(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>)-(1)/(2)b(ea))/(pi ab)` <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/AKS_DOC_OBJ_PHY_XI_V01_B_C09_SLV_002_S01.png" width="80%"/></body></html>