Computer Science – Numerical Analysis
Scientific paper
Jun 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984rpspr...4...83t&link_type=abstract
In its USSR Rept.: Space (JPRS-USP-84-003) p 83 (SEE N84-28823 19-12) Transl. into ENGLISH from Astron. Vestn. (USSR), v. 17,
Computer Science
Numerical Analysis
Astronomical Models, Harmonics, Lunar Gravitation, Moon, Apollo Spacecraft, Doppler Effect, Lasers, Least Squares Method, Lunar Orbiter, Lunar Surface, Lunik Lunar Probes, Numerical Analysis, Selenology
Scientific paper
Generalized models of the Moon's gravitational field were generated using the following data: the Doppler observations of the Apollo 15 and 16 and Lunar Orbiter 5, in the form of the 16th harmonic suggested by Ferrari; the model Ferrari constructed for the low-frequency part (down to n = 5) of selenopotential in the form of an expansion from the spherical functions, using data from laser and Doppler measurements made by Lunar Orbiter 4; the Akim and Vlasova model using data obtained from the Lunar series (10 to 24), in the form of a set of harmonic coefficients; the 83-point model of Brovar approximating the gravitational field of the equatorial part of the visible lunar surface, using data obtained by the Lunar Orbiter series (1 to 5) and Apollo 8 and Apollo 12; and a set of four profiles of beam accelerations above the central part of the visible lunar surface obtained during low passes by the command modules of the Apollo series (14 to 17). The latter profiles were not previously used in modeling the lunar gravitational field. Two methods were used to construct the models: determination of the harmonic coefficients by numeric integration of values for the radial product of the potential, and constructing a model by using a weighted least-squares method. Details are shown for each method and the 16th degree harmonics and relative values for a 225 point mass are shown in tabular form. The models were compared with earlier models.
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