Find the conservation principles

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Reference no: EM131383449

A particle moves freely in the gravitational field of a fixed mass distribution. Find the conservation principles that correspond to the symmetries of the following fixed mass distributions:

(i) a uniform sphere,

(ii) a uniform half plane,

(iii) two particles,

(iv) a uniform right circular cone,

(v) an infinite uniform circular cylinder.

Reference no: EM131383449

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