Consider a hypothetical planet which is very long and cylindrical. The density of the planet is ρ and its radius is R.

Sub-question 1
What is the possible orbital speed of the satellite in moving around the planet in circular orbit in a plane which is perpendicular to the axis of planet?
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Sub-question 2
If an object is projected radially outwards from the surface such that it reaches upto a maximum distance of 3R from the axis then what should be the speed of projection?
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Sub-question 3
Assume that the planet is rotating about its axis with time period T. How far from the axis of the planet do the geo synchronous telecommunication satellites orbit are?
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