Computer Science – Numerical Analysis
Scientific paper
Aug 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989georl..16..859c&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 16, Aug. 1989, p. 859-862.
Computer Science
Numerical Analysis
16
Gravitational Fields, Phobos, Planetary Gravitation, Satellite Imagery, Topography, Natural Satellites, Numerical Analysis, Viking Spacecraft, Mars, Satellites, Phobos, Gravity Fields, Harmonics, Density, Parameters, Shape, Calculations
Scientific paper
The external gravitational field produced by a rigid body of uniform density but irregular shape is formulated in terms of spherical harmonics. The formalism is applied to the Martian satellite Phobos. Based on a three-dimensional shape model of Phobos by Duxbury (1989), the gravitational coefficients up to degree and order 4 for a homogeneous Phobos are computed. In particular, J2 is found to be 0.105. The in-plane libration amplitude of a homogeneous Phobos is predicted to be 0.97 deg, within the rather large uncertainty of the observed value of 0.78 + or - 0.4 deg.
Fong Chao Benjamin
Parry Rubincam David
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