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The secular evolution of discrete quasi-Keplerian systems. I. Kinetic theory of stellar clusters near black holes

Abstract:

We derive the kinetic equation that describes the secular evolution of a large set of particles orbiting a dominant massive object, such as stars bound to a supermassive black hole or a proto-planetary debris disc encircling a star. Because the particles move in a quasi-Keplerian potential, their orbits can be approximated by ellipses whose orientations remain fixed over many dynamical times. The kinetic equation is obtained by simply averaging the BBGKY equations over the fast angle that des...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1051/0004-6361/201629138

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Department:
Oxford, MPLS, Physics, Theoretical Physics
Role:
Author
Publisher:
EDP Sciences Publisher's website
Journal:
Astronomy and Astrophysics Journal website
Volume:
598
Chapter number:
A71
Publication date:
2017-02-02
Acceptance date:
2016-10-06
DOI:
EISSN:
0004-6361
ISSN:
1432-0746
Pubs id:
pubs:664294
URN:
uri:10e03fbe-a226-4c27-a1ff-74b4f77805cc
UUID:
uuid:10e03fbe-a226-4c27-a1ff-74b4f77805cc
Local pid:
pubs:664294

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