The mutual potential and gravitational torques of two bodies to fourth order

Physics

Scientific paper

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Euler Equations Of Motion, Gravitational Fields, Orbital Mechanics, Rotation, Torque, Two Body Problem, Angular Velocity, Coordinates, Liouville Equations, Newton Second Law

Scientific paper

The mutual gravitational potential of two bodies of arbitrary shape is
expressed to fourth order in an extension of MacCullagh's Formula for a
single body. The expressions for the gravitational torques acting on
each body are derived in a form convenient for use in the differential
equations describing the rotational dynamics.

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