Suppose the solar system is embedded in a dust cloud of, Mechanical Engineering

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Suppose the solar system is embedded in a dust cloud of

Suppose the solar system is embedded in a dust cloud of uniform density ρ.

Find an approximation to the ‘annual' advance of the perihelion of a planet moving in a nearly circular orbit of radius a. (For convenience, let ρ = ∈M/a³, where M is the solar mass and ∈ is small.)

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