Answer :
If the mass of the Sun is doubled and the Earth stayed in orbit at 1 AU, the Earth's orbital period would be 1/4 year (3 months).
The planet's increase in mass would increase the gravitational force between it and the sun just enough to bend its orbit into the same curve as before, since the planet's momentum has also been correspondingly increased. Hence the planet would not move closer to the sun as a direct consequence.
The planet's increase in mass would increase the gravitational force between it and the sun just enough to bend its orbit into the same curve as before, since the planet's momentum has also been correspondingly increased. Hence the planet would not move closer to the sun as a direct consequence.
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