Question

A very important characteristic of the movement of orbiting bodies is that no matter where the satellite is located in its orbit, the conservation of the angular momentum is always occurring Find the radius of this orbit while the satellite (m=20 Kg and v=100 m/s) is found at the end of the major axis and knowing that the value of the angular momentum L at the minor axis is 75,000 Kg.m^2/s

Answer 1

Here we have given that,

M = 20 kg

V = 100 m/s

Angular momentum at minor axis L = 75,000 kg m/s²

Now as here the application of conservation of angular momentum will be applicable as,

Angular momentum at major axis = angular momentum at minor axis

MVR = L

R = L/MV = 75000/20×100 = 37.5 m

Hence the radius of orbit at the end of major axis will be ,

R = 37.5 m