Numerical models for the study of motion of lunar satellites

Details Numerical models for the study of motion of lunar satellites Numerical models for the study of motion of lunar satellites

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985em%26p...32...21g&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 32, Feb. 1985, p. 21-45.

Astronomy and Astrophysics

Astronomy

1

Earth-Moon System, Lunar Satellites, Mathematical Models, Satellite Orbits, Satellite Rotation, Three Body Problem, Astrodynamics, Differential Equations, Orbits, Runge-Kutta Method, Satellite Perturbation

Scientific paper

Numerical models are developed in order to study the elliptic restricted three-body problem of the earth, the moon, and a satellite with and without the sun as a fourth perturbative body. The algorithms used to investigate the problem include: a series solution for the differential equations; and a 5th order Runge-Kutta method. Solutions are obtained for the equations and integrals of motion for both elliptical and circular orbits, and for the periodic orbits of the natural satellites of the moon and the earth-moon system, where the moon describes a circular orbit around the earth before perturbation by the sun. Computer generated images of the orbits are given in an appendix.

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