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When the mass of the earth increases, dont you think the earth will move away from its orbit?

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When the mass of the earth increases, dont you think the earth will move away from its orbit?

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An increase in mass would cause more gravitational force between the Sun and the Earth and so the orbit would decrease in size. However, birth rates do not account for a rise in mass, as all the materials which constitute us are from the Earth and its atmosphere anyway.

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