Stability of the sun-earth-moon system

Details Stability of the sun-earth-moon system Stability of the sun-earth-moon system

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977aj.....82..303s&link_type=abstract

Astronomical Journal, vol. 82, Apr. 1977, p. 303-305. Research supported by the University of Texas and NATO.

Astronomy and Astrophysics

Astronomy

7

Dynamic Stability, Earth-Moon System, Hill Lunar Theory, Orbital Velocity, Three Body Problem, Dynamic Models, Eccentricity, Escape Velocity, Lunar Effects, Solar Orbits

Scientific paper

The models of the restricted and general problems of three bodies are used to determine the stability of the sun-earth-moon system by means of surfaces of zero velocity. Hill's (1878) result is verified by the model of the restricted problem as long as the earth/sun mass ratio is at least 2.52 millionths. The model of the general problem contradicts this result, and it is shown that the eccentricity of earth's orbit renders the system unstable by opening the surface of zero velocity. It may be concluded, therefore, that the moon may escape from the earth and become a planet or, conversely, that the planetary origin and the capture of the moon by earth becomes a strong dynamic possibility.

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