Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993astl...19..312a&link_type=abstract
Astronomy Letters, Vol. 19, p. 312-315; Pis'ma v Astronomicheskij Zhurnal (ISSN 0320-0108), vol. 19, no. 8, p. 768-775. In Russ
Astronomy and Astrophysics
Astronomy
2
Celestial Mechanics, Chaos, Dynamic Stability, Three Body Problem, Trajectory Analysis, Asymptotic Methods, Planetary Systems, Stochastic Processes
Scientific paper
The particular case of a symmetric approach of three gravitating point masses is considered. It is shown that the problem has a critical mass of 55/4 m for the middle body, which the two other bodies of equal mass approach from different sides. If the mass is greater than critical, the reaction of the middle body to the approach is of a qualitatively regular nature. Otherwise there is a high sensitivity to the initial conditions, which results in dynamic instability and possible chaos.
Antonov Vadim A.
Chernin Arthur D.
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