A generalized model of the lunar gravitational field

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravitational Fields, Lunar Gravitation, Apollo Flights, Least Squares Method, Lunar Orbiter, Spherical Harmonics

Scientific paper

A lunar-gravitational-field model using a 16th-order expansion of the spherical functions and 225 mass points is developed, incorporating all available observational data on the motions of Luna 10-24; Lunar Orbiters I-V; Explorers 35 and 49; and Apollo 8, 12, 14, 15, 16, and 17. The harmonic coefficients of the expansion are determined by double numerical integration of the radial derivatives of the potential and by a least-squares method and presented with the relative point masses in tables. The good agreement among the integration and least-squares potentials and those of the model of Bills and Ferrari (1980) is shown in a graph.

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