Mars has mass and rotates once (relative to the stars) in

PHYSICS · Subjective · Fermi University Physics · Mechanics & Dynamical Systems · Rotation, rigid bodies and accelerated frames · Gravitation and central-force motion

Action and Symmetry, Ch Non-inertial frames from one Lagrangian

Problem

Mars has mass

M_{\rm Mars} = 6.417\times10^{23}\ \mathrm{kg}

and rotates once (relative to the stars) in

T_{\rm Mars} = 24.6229\ \mathrm{hours}

. Treat Mars as spherically symmetric and use

G_{\rm N} = 6.674\times10^{-11}\ \mathrm{N\,m^2\,kg^{-2}}

. Find the radius, measured from Mars's centre, of the circle in the equatorial plane at which the rotating-frame effective potential

V_{\rm rot}

of a body co-rotating with Mars is stationary.

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