4. Let the period of revolution of a planet
at a distance R from a star be T. Prove
that if it was at a distance of 2R from
the star, its period of revolution will be
√8
T.
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According to keplers law the square of the time period will proportional to square of the time period.
hence
t1²/t2² = R³/(2R)³
t1²/t2² = R³/8R³
therefore t2 will be root 8 t1
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