wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The speed of the planet at the perihelion P in the figure is vP and the sun-planet distance SP is rP. Relate (rP,vP) to the corresponding quantities (rA,vA) at the aphelion A. Will the planet take equal time to traverse BAC and CPB?
1110311_3a6c2ca4726448af90f34b95edf9f31d.png

Open in App
Solution

L=Iω
L=Mr2ω v=rω
From conservative of angular momentum
¯LA=¯Lp

¯rAׯPA=¯rBׯPB

mr2AVArA=mVBrBr2B

VArA=VBrB

Vprp=VArA=Areal velocity.............(1)
Areal velocity don’t change with the position of the planet.

From the diagram Area curvature BPCS <CABS

In BPC time will take small in compare to CAB.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Elliptical Orbits and Kepler's Law Tackle
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon