The libration of a satellite caused by the tidal field of its planet

Details The libration of a satellite caused by the tidal field of its planet The libration of a satellite caused by the tidal field of its planet

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..36..375c&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 36, Aug. 1985, p. 375-390.

Computer Science

Celestial Mechanics, Gravitational Effects, Libration, Natural Satellites, Tides, Earth-Moon System, Inertial Navigation, Planetary Gravitation, Precession

Scientific paper

The tidal field caused by the second order zonal harmonic of the gravitational field of a planet is discussed according to the 'fernwirkungsgesetz' (principle of local action) of Weyl (1921) introducing an accurate and simple form of the gravitational potential of the planet in elliptic coordinates. It is seen that the tidal field can be described at each point as a small rotation epsilon of the local canonical frame which causes a libration and a precession of the axis of rotation of the satellites of the planet. It is also shown that at each point P, epsilon is one third of the angle delta(Phi) between the line of force through P and the line from P to the center of mass of the planet. All the formulae obtained, to compute epsilon and delta(Phi), are in closed form.

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