Mathematics – Probability
Scientific paper
Sep 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977prag.iafcq....m&link_type=abstract
International Astronautical Federation, International Astronautical Congress, 28th, Prague, Czechoslovakia, Sept. 25-Oct. 1, 197
Mathematics
Probability
Binary Stars, Orbital Mechanics, Stellar Motions, Three Body Problem, Angular Momentum, Astrodynamics, Body Kinematics, Center Of Gravity, Eccentricity, Orbit Perturbation, Probability Theory, Triple Stars
Scientific paper
Oscillating orbits of the second kind are analyzed in the framework of a three-body problem involving two close point masses rapidly revolving about their center of mass and a third point mass revolving more slowly about the first two. Delaunay variables and a von Zeipel transformation are used to obtain a first-order integrable approximation that is valid for any eccentricity and inclination. Integration of that approximation indicates that oscillating orbits of the second kind occur when the angular momentum of the outer orbit has a modulus sufficiently close to the modulus of the total angular momentum of the three-body system and that these orbits arise for inclinations in the vicinity of 90 deg. An attempt is made to show that a triple star system could be formed by an appropriate encounter between two binary systems moving along oscillating orbits of the second kind.
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