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The gravitational force exerted by the s...

The gravitational 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.

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For the moon `V_e=sqrt(2) V_0V_e-V_o=sqrt(2)V_0-V_0=V_0(sqrt2-1)=V_0(1.414-1)=0.414V_0` To escape from the gravitational field of the earth, the moon should faster by41.4%
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