Energy change in a hard binary due to distant encounters
Energy change in a hard binary due to distant encounters
An approximate analytical technique for computing the change in the binding energy of a binary due to an incoming third star moving in a distant parabolic orbit is presented. This is an example of a tidal encounter since we assume that the distance of the third star always considerably exceeds the size of the binary. The perturbation is also adiabatic, varying on a time scale much exceeding the binary period, and the change has an exponential form. Different cases arise depending on the choice of the masses and the angle of inclination of the plane in which the star moves. Some numerical experiments are performed as a means of checking the analytical theory.
stellar dynamics, binaries:general
411-435
Roy, Alan A.
023648ec-2915-4a04-abdf-38e200a5308a
Haddow, Morag
bbfd5089-32cb-4ffa-ae8b-11f0196520e8
Ferraz-Mello, S.
61965d1b-237d-4daa-9160-37ea8940878a
2003
Roy, Alan A.
023648ec-2915-4a04-abdf-38e200a5308a
Haddow, Morag
bbfd5089-32cb-4ffa-ae8b-11f0196520e8
Ferraz-Mello, S.
61965d1b-237d-4daa-9160-37ea8940878a
Roy, Alan A. and Haddow, Morag
,
Ferraz-Mello, S.
(ed.)
(2003)
Energy change in a hard binary due to distant encounters.
Journal of Celestial Mechanics and Dynamical Astronomy, 87 (4), .
Abstract
An approximate analytical technique for computing the change in the binding energy of a binary due to an incoming third star moving in a distant parabolic orbit is presented. This is an example of a tidal encounter since we assume that the distance of the third star always considerably exceeds the size of the binary. The perturbation is also adiabatic, varying on a time scale much exceeding the binary period, and the change has an exponential form. Different cases arise depending on the choice of the masses and the angle of inclination of the plane in which the star moves. Some numerical experiments are performed as a means of checking the analytical theory.
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Published date: 2003
Keywords:
stellar dynamics, binaries:general
Organisations:
EEE
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Local EPrints ID: 259595
URI: http://eprints.soton.ac.uk/id/eprint/259595
ISSN: 0923-2958
PURE UUID: 0e9d9397-06e0-4db5-b6d8-854bebe0a335
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Date deposited: 02 Aug 2004
Last modified: 07 Jan 2022 21:13
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Contributors
Author:
Alan A. Roy
Author:
Morag Haddow
Editor:
S. Ferraz-Mello
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