- Abstract:
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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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
-
(pdf, 652.6KB)
-
- Publisher copy:
- 10.1051/0004-6361/201629138
-
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- 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:
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0004-6361
- ISSN:
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1432-0746
- Pubs id:
-
pubs:664294
- URN:
-
uri:10e03fbe-a226-4c27-a1ff-74b4f77805cc
- UUID:
-
uuid:10e03fbe-a226-4c27-a1ff-74b4f77805cc
- Local pid:
- pubs:664294
- Language:
- English
- Keywords:
- Copyright holder:
- European Southern Observatory
- Copyright date:
- 2017
- Notes:
- © ESO 2017, published by EDP Sciences.
Journal article
The secular evolution of discrete quasi-Keplerian systems. I. Kinetic theory of stellar clusters near black holes
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