Dynamical Evolution of Triple Systems With Big Differences in the Masses of Bodies. A Criterion for Stability

Details Dynamical Evolution of Triple Systems With Big Differences in the Masses of Bodies. A Criterion for Stability Dynamical Evolution of Triple Systems With Big Differences in the Masses of Bodies. A Criterion for Stability

Apr 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ap%26ss.238..223a&link_type=abstract

Astrophysics and Space Science, Volume 238, Issue 2, pp.223-238

Astronomy and Astrophysics

Astrophysics

2

Scientific paper

The dynamical evolution of about 1.5 million planar hierarchical triple systems with a negative total energy and different-mass bodies is investigated by computer simulations. We considered both cases — prograde and retrograde motions of bodies. For every system, calculations were carried out either till a time when the Marchal'set al. (1984) criterion of escape of a body from a triple system was satisfied (the unstable triple systems) or during 1000 rotations of a total system (the stable triple systems). Computations were carried out on three computers-Sunstations in the Physical Research Laboratory, Ahmedabad, India during several months continuously. We changed smoothly the initial value of the coefficient of hierarchy of triples q = r_{3 - 12} /r_{12} Wherer 12 is a distance between close bodiesM1,M2 andr 3 12 is a distance between their center of masses and a distant bodyM3. We define critical (minimum) values of the coefficientq of hierarchy of stable triple systems with a relative accuracy δq=1%. Ratios of masses of bodies belong to the interval [0.13, 244.00]. A possibility of extention of these results for hierarchical subsystems with different multiplicities inside clusters is discussed.

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