The gravitational pull of the Sun on the Moon is greater than the pull of the Earth, but the Moon remains in orbit around the Earth because: 1) The Moon and Earth orbit around their common center of mass, which is closer to the Earth due to its greater mass. 2) The centripetal force keeping the Moon in its circular orbit is provided by the Earth's gravitational attraction of the Moon. 3) The center of mass of the Earth-Moon system and the Sun orbit around their common center of mass, which is closer to the Sun due to its overwhelming mass.

1. Earth
Sun
Note: the centre of
mass is actually inside
the Sun due to the
overwhelmingly large
mass of the Sun
compared to that of the
Earth. flipperworks.com

2. N92/Q10(a)
Give brief answers to the following:
The gravitational pull of the Sun on the Moon is considerably
greater than the gravitational pull of the Earth on the Moon.
Why then does the Moon remain in orbit about the Earth?
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3. Solution
The Moon does not orbit about the Earth. The Moon and the
Earth actually orbit about their common centre of mass, C,
which is nearer the Earth since the Earth is heavier than the
Moon.
The centripetal force for their circular motion is provided by
the gravitational force of attraction between the Earth and
the Moon.
This centre of mass, C, experiences a mutual gravitational
force of attraction with the Sun. As a result, C and the Sun
orbit about their common centre of mass, D, which is nearer
the Sun since the Sun is heavier than the Earth and the Moon
combined. flipperworks.com

4. Earth
C
Moon
D
Sun
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