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The garvitational force exerted by the sun on the Moon is greater than that exerted by the Earth on the Moon. Why then does not the Moon escape from the Earth, during solar esclipe?

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The Moon can escape only if there is no orbital motion. In fact, the Moon while revolving around the Earth, has also orbital velocity around the sun. The gravitational force of attraction of the sun to the Moon provides the required centripetel force necessary for the orbital motion around the sun.

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