Question

A satellite of mass 2500 kg is orbiting the Earth in an elliptical orbit. At the farthest point
from the Earth, its altitude is 3600 km, while at the nearest point, it is 1100 km. Calculate
the energy and angular momentum of the satellite and its speed at the aphelion and
perihelion.

Answer 1

we know, U=GMm/R(WHERE G IS GRAVITATIONAL CONSTANT, m is satellite's mass, M IS EARTH'S MASS)
AT APHELION,R=RADIUS OF EARTH+3600 KM
SO calculate U
AT PERHELION,R=RADIUS OF EARTH+1100 KM
CALCULATE U
NOW GENERALLY VELOCITY OF ORBITING SATELLITE=8 KM/S
SO ANGULAR MOMENTUM=mvR
calculate for aphelion and perhelion