Computer Science
Scientific paper
May 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec...9..381m&link_type=abstract
Celestial Mechanics, Volume 9, Issue 3, pp.381-393
Computer Science
15
Scientific paper
The three-body problem is decomposed into the motion of the binarym 1,m 2 and the motion of the third massm 3 with respect to the center of masses ofm 1 andm 2. Some limitations are assumed on the motion of the binarym 1,m 2 which imply limits on the motion ofm 3; in favourable cases these limits are within the same type of evolution and thus analytic sufficient for the hyperbolic-elliptic escape and for the ‘ejection without escape’: the ejected massm 3 reaches a bounded distance and falls back towardm 1 andm 2. The limitations assumed on the motion of the binarym 1,m 2 are verified with the help of the energy integral. The new criteria are compared with those given in the literature. They are generally more efficient. In particular they are the only ones which can be used with zero or negative radial velocity of the massm 3. They can even be used sometimes at time minus infinity, that is infinitely before the passage of a star near a binary system.
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