The PHOBOS gravitational field modeled on the basis of its topography

Details The PHOBOS gravitational field modeled on the basis of its topography The PHOBOS gravitational field modeled on the basis of its topography

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989em%26p...45..219m&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 45, June 1989, p. 219-235.

Physics

6

Gravitational Fields, Phobos, Satellite Surfaces, Topography, Approximation, Ellipsoids, Numerical Integration, Spherical Harmonics

Scientific paper

The parameters of the best-fitting ellipsoid have been derived using the latest spherical harmonics of the Phobos topography (Duxbury, 1989) by solution of nonlinear overdetermined inverse problem. The lengths of the equatorial axes of the ellipsoid have been determined (a = 12.9 km, b = 11.4 km). They are nearly the same as established by Duxbury on the basis of the linearized relationship between the squared lenghts of ellipsoidal axes and the topography coefficients C(20) and C(22). The length of the polar axis (c = 9.1 km) differs by about 20 percent from Duxbury's value. Supposing mass homogeneity of Phobos, the Stokes parameters of the external gravitational field have been derived up to those of the sixth degree and order. The large irregularities in the Phobos figure cause the values of the Duxbury's potential coefficients be fairly inaccurate except the harmonics C(20), C(32), and S(51), i.e., linearized relationship between gravity and topography cannot be applied for Phobos. Finally, positions of the center of figure and the directions of the principal axes of inertia have been established.

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