Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995mnras.273..751v&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 273, Issue 3, pp. 751-754.
Astronomy and Astrophysics
Astronomy
6
Relativity, Celestial Mechanics, Stellar Dynamics, Galaxies: Nuclei
Scientific paper
We study the three-body problem, first introduced by Burrau in 1913, where three bodies start from rest at the corners of a Pythagorean right-angled triangle. The bodies are assumed to be black holes and therefore post-Newtonian corrections to the Newtonian equations of motion are applied at close encounters. We find that the nature of the solution changes gradually from the breakup of the system to a complete collapse of the system as the masses of the black holes are gradually increased. For a system of 5pc in maximum initial diameter, the total collapse into a single black hole becomes dominant at the systematic mass of about 10^8 M_solar. The maximum ejection speed of single bodies is about 1500 km s^-1 and it occurs when the total mass is slightly above 10^8 M_solar.
Mikkola Seppo
Pietilä Harri
Valtonen Mauri J.
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