An object of mass m is in a circular orbit another heavier object of mass M....

An object of mass m is in a circular orbit another heavier object of mass M. The radius of the orbit is R.
(a) Derive the speed of the orbiting object.
(b) Use this speed to derive the period of the circular orbit.
(c) Use your answer and the provided value to determine the period of Earth’s orbit around
the Sun based on our simplified circular motion model. Compare this to the actual value which you can look up.

Use the astronomical information below to solve the following problems. G = 6.67 x10-11 N m2/kg2
Mass of the Earth = 5.974 x1024 kg
Radius of the Earth = 6.3666x106 m
Mass of the Moon= 7.347x1022 kg Radius of the Moon = 1.737x106 m Earth - Moon distance = 3.816x108 m Mass of the Sun = 1.989x1030 kg Earth - Sun distance = 1.496x1011 m

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genius_generous answered 1 year ago

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