Analysis of Two-Parameter Families of Triple Close ApproachesOccurring in Stellar Systems (I) |
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Authors: | Navin Chandra KB Bhatnagar |
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Institution: | (1) Centre for Fundamental Research in Space Dynamics and CelestialMechanics, IA/47C, Ashok Vihar, New Delhi-, 52, India |
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Abstract: | The analysis of two-parameter families of triple close approaches occurring in stellar systems is studied in a series of three
papers. This paper deals with the role of triple encounters with low initial velocities and equal masses in the evolution
of stellar systems. It shows how a condition of complete collapse may be perturbed to obtain well-established two-parameter
families of asymmetric triple close approaches with the formation of a binary and with systematic regularity of escape of
the third body. Our results also indicate that the conjecture of Szebehely viz., `The measure of escaping orbits is significantly
higher than the measure of stable orbits' is likely to be true. Further our results differ from that of Agekian's escape probability
criterian. The second paper deals with the role of triple encounters with low initial velocities and equal masses in the evolution
of stellar systems in 3D space. The third and last paper offers applications in stellar systems.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | |
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