On the capture of the Moon

Details On the capture of the Moon On the capture of the Moon

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..259s&link_type=abstract

Celestial Mechanics, vol. 21, Apr. 1980, p. 259-264. NSF-NASA-NATO-USAF-supported research.

Astronomy and Astrophysics

Astrophysics

1

Earth-Moon System, Gravitational Effects, Stellar Mass, Sun, Three Body Problem, Angular Momentum, Astronomical Models, Circular Orbits, Solar System, Moon, Earth-Moon-Sun System, Three-Body Problem, Mass, Distance, Angular Momentum, Orbits, Mathematical Models, Parameters, Gravity

Scientific paper

This paper studies the possibility of lunar capture depending on variations of the solar mass under certain well specified conditions and assumptions regarding the behaviour of the three-body dynamical system formed by the Sun, Earth and Moon. It is found that a large amount of decrease in the solar mass (approximately 37%) would be required to allow capture if the model of the planar restricted problem of three bodies is assumed, if the masses of the Earth and Moon did not change and if the angular momentum of the Sun-Earth system did not change. Such large mass-changes of the Sun can not be associated with radiation mass losses only with catastrophic events, such as stellar close approaches.

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