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Prove that the total energy of the earth (mass ) as it orbits the sun (mass ) can be…
PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation
Problem
Prove that the total energy of the earth (mass
m
m
m
) as it orbits the sun (mass
M
M
M
) can be expressed as either
E
=
−
1
2
m
v
2
E = -\frac{1}{2}mv^2
E
=
−
2
1
m
v
2
or
E
=
−
G
M
m
2
r
E = -\frac{GMm}{2r}
E
=
−
2
r
GM
m
where
r
r
r
is the radius of the earth's circular orbit.
Related theory
Circular & Orbital Motion Dynamics
Satellites & Orbital Motion
Gravitation
Orbital velocity and period
Energy of an orbiting satellite
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