Question

I need help with calculus question that deals with physics and elliptical orbits.

Step 1

Apogee is the farthest point from Sun and Perigee is the nearest point.

Consider the motion of Earth around Sun in elliptical orbit. The direction of velocity is tangential to the elliptical path. The angular momentum about Sun is conserved.

Write the expression for angular momentum.

Step 2

The radial distance and centripetal force are parallel to each other, hence the torque will be zero.

Step 3

Thus angular momentum will be...

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