A comparison of escape criteria for triple systems

Details A comparison of escape criteria for triple systems A comparison of escape criteria for triple systems

Apr 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986velen.......82o&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia (ISSN 0024-0850), April 1986, p. 82-87. In Russian.

Astronomy and Astrophysics

Astrophysics

Astrophysics, Celestial Mechanics, Escape, Gravitational Effects, Three Body Problem, Critical Velocity, Decay, Optimization, Ternary Systems

Scientific paper

A comparison is made between the escape criteria of Birkhoff, Tevzadze, Standish, Griffith, and North, and Yoshida-Marchal for triple systems with a negative total energy. It is shown that in the case where the distant component is sufficiently isolated (rho is equal to or greater than 2D), the difference between the last three criteria is negligible. For all possible distances rho greater than D and for all body mass ratios, the Griffith and North and Yoshida-Marchal criteria provide optimum results with a minimum number of nondetected escapes.

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