Stability of artificial and natural satellites

Details Stability of artificial and natural satellites Stability of artificial and natural satellites

Nov 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..18..383s&link_type=abstract

Celestial Mechanics, vol. 18, Nov. 1978, p. 383-389. NASA-NSF-supported research.

Physics

22

Artificial Satellites, Celestial Mechanics, Motion Stability, Natural Satellites, Orbit Perturbation, Satellite Orbits, Jacobi Integral, Solar System, Three Body Problem

Scientific paper

A quantitative measure of stability based on Hill's definition is evaluated for direct and retrograde satellite orbits. These orbits are known as Poincare's first kind in the restricted problem of three bodies. Onsets of possible instabilities and captures are established. A critical (maximum) value of the satellites orbital radius is found for stability as a remarkably simple function of the mass-parameter. The results are applied to the natural satellites of the solar system.

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