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

Physics · Gravitation · Satellites, Orbital Motion & Kepler’s Laws

JEE MainsAdvanced

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

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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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