Astronomy and Astrophysics – Astronomy
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978icar...34..415c&link_type=abstract
Icarus, vol. 34, May 1978, p. 415-427.
Astronomy and Astrophysics
Astronomy
5
Astronomical Models, Celestial Mechanics, Encounters, Orbital Mechanics, Solar Orbits, Three Body Problem, Center Of Gravity, Mathematical Models, Orbital Elements, Orbits, Planets, Motion, Two Body Problem, Models
Scientific paper
A model is proposed for single close encounters between two small masses, m1 and m2, which orbit a much larger mass, M. The main new feature of the model is the assumption of conic motion of the center of mass of m1 and m2 in the gravitational field of M. Comparisons of the model with the three-body equations of motion indicate that the model is a useful approximation for m1, m2 not exceeding 0.00001 M. The model is therefore applicable for encounters between bodies of the order of an earth mass or smaller in the presence of the sun. Comparisons are also made of outcomes obtained by the model with outcomes of numerical integration for a large variety of close encounters. The above comparisons reveal that for many purposes the model is an adequate approximation for encounters with an eccentricity of the hyperbolic orbit of m1 about m2 not less than 4.
Cox L. P.
Lecar Myron
Lewis Scott J.
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