Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975aiaa.confw....r&link_type=abstract
American Astronautical Society and American Institute of Aeronautics and Astronautics, Astrodynamics Specialist Conference, Nass
Astronomy and Astrophysics
Astronomy
Earth-Moon System, Elliptic Differential Equations, Equations Of Motion, Librational Motion, Perturbation Theory, Satellite Perturbation, Celestial Mechanics, Four Body Problem, Periodic Functions, Solar System, Three Dimensional Motion
Scientific paper
Bounded motion about Lagrange collinear libration points is considered for a perturbed elliptic-restricted problem. A practical application is the motion of a satellite near a libration point collinear with the sun and the earth-moon barycenter. Such a system is treated here as an earth-sun-satellite elliptic restricted problem with lunar perturbations. The method of dual time scales is utilized to develop a uniformly valid three-dimensional analytical solution to the satellite's equations of motion. The analytical development applies somewhat generally to that class of four-body problems where the second primary mass is much greater than the first, and the third primary mass is much greater than the second.
Cary N. D.
Richardson David L.
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