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Standard X
Physics
Acceleration Due to Gravity
A planet of m...
Question
A planet of mass 'm' revolves around the sun (of mass M) in an elliptical orbit. The semi major axis of the orbit is 'a'. Find out the total mechanical energy of the planet.
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Solution
K
.
E
=
1
2
m
v
2
P
.
E
=
−
G
M
m
r
By conservation of mechanical energy
Total mechanical energy,
E
=
1
2
m
v
2
−
G
M
m
r
=
−
G
M
m
2
a
where,
v
=
√
G
M
(
2
r
−
1
a
)
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