Analytical theory of the motion of Phobos: A comparison with numerical integration

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Planets And Satellites: Individual: Phobos, Methods: Analytical

Scientific paper

A new theory of the motion of Phobos - a moon of Mars - has been presented. The theory is based on the problem of two fixed gravitational centers. The analytical functions appearing in this model are expressed as a series of the third order with respect to the J_2 and (J_3)/(J_2) zonal harmonics of Mars. The interaction between Phobos and Mars is described by a potential consisting of very many elements. The zonal harmonics of order ≤12 and tesseral harmonics of order ≤6 are taken into account. Interactions of Phobos with the Sun, Jupiter, Deimos - another moon of Mars, and the tidal potential of the Sun are also taken into account.

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