A satellite of mass m moves in a circular orbit at height R above Earth's surface. Earth has mass M and radius R. If the satellite's angular momentum is m√(NGMR), find N.
Physics · Gravitation · sattelite and keplers law
JEE Mains 2025 23 Jan Evening Shift

Question

A satellite of mass m moves in a circular orbit at height R above Earth's surface. Earth has mass M and radius R. If the satellite's angular momentum is m√(NGMR), find N.

G1 Physics · Accepted Answer

Orbital radius r=R+R=2R. Circular speed v=√(GM/r)=√(GM/(2R)). Angular momentum L=mvr=m√(GM/(2R))·2R=m√(2GMR). Comparing with m√(NGMR), N=2.