EDP Sciences
Free access
Volume 416, Number 3, March IV 2004
Page(s) 1187 - 1192
Section Celestial mechanics and astrometry
DOI http://dx.doi.org/10.1051/0004-6361:20031747

A&A 416, 1187-1192 (2004)
DOI: 10.1051/0004-6361:20031747

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

P. Waz

Torun Centre for Astronomy of the Nicolaus Copernicus University, Gagarina 11, 87-100 Torun, Poland
(Received 30 August 2002 / Accepted 25 November 2003 )

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  J2 and $\frac{J_3}{J_2}$ 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 $\leq$12 and tesseral harmonics of order $\leq$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.

Key words: planets and satellites: individual: Phobos -- methods: analytical

© ESO 2004