A New Reference Equipotential Surface, and Reference Ellipsoid for the Planet Mars |
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| Authors: | A A Ardalan R Karimi and E W Grafarend |
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| Institution: | (1) Department of Surveying and Geomatics Engineering, Center of Excellence of Geomatics Engineering and Disaster Prevention, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran;(2) Department of Geodesy, Stuttgart University, Geschwister-Scholl-Str. 24/D, 70174 Stuttgart, Germany |
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| Abstract: | Using the shape model of Mars GTM090AA in terms of spherical harmonics complete to degree and order 90 and gravitational field
model of Mars GGM2BC80 in terms of spherical harmonics complete to degree and order 80, both from Mars Global Surveyor (MGS)
mission, the geometry (shape) and gravity potential value of reference equipotential surface of Mars (Areoid) are computed based on a constrained optimization problem. In this paper, the Areoid is defined as a reference equipotential surface, which best fits to the shape of Mars in least squares sense. The estimated gravity potential value of the Areoid from this study, i.e. W
0 = (12,654,875 ± 69) (m2/s2), is used as one of the four fundamental gravity parameters of Mars namely, {W
0, GM, ω, J
20}, i.e. {Areoid’s gravity potential, gravitational constant of Mars, angular velocity of Mars, second zonal spherical harmonic
of gravitational field expansion of Mars}, to compute a bi-axial reference ellipsoid of Somigliana-Pizzetti type as the hydrostatic approximate figure of Mars. The estimated values of semi-major and semi-minor axis of the computed
reference ellipsoid of Mars are (3,395,428 ± 19) (m), and (3,377,678 ± 19) (m), respectively. Finally the computed Areoid
is presented with respect to the computed reference ellipsoid. |
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