Sign on

SAO/NASA ADS Astronomy Abstract Service

· Find Similar Abstracts (with default settings below)
· Full Refereed Journal Article (PDF/Postscript)
· Full Refereed Scanned Article (GIF)
· References in the article
· Citations to the Article (31) (Citation History)
· Refereed Citations to the Article
· Also-Read Articles (Reads History)
·
· Translate This Page
Title:
Does Jean's theorem apply only to spherical systems
Authors:
Binney, J.
Affiliation:
AA(Oxford University, Oxford, England)
Publication:
Royal Astronomical Society, Monthly Notices, vol. 201, Oct. 1982, p. 15-19. (MNRAS Homepage)
Publication Date:
10/1982
Category:
Astronomy
Origin:
STI
NASA/STI Keywords:
JEANS THEORY, ORBITAL MECHANICS, STELLAR MOTIONS, STELLAR SYSTEMS, VLASOV EQUATIONS, ASTRODYNAMICS, EQUATIONS OF MOTION, FOURIER SERIES, KEPLER LAWS
Comment:
A&AA ID. AAA032.151.034
Bibliographic Code:
1982MNRAS.201...15B

Abstract

It is argued that Jean's theorem is valid only for special potentials, and should not be used as a basis for a discussion of general stellar systems. A steady-state potential supports both regular and irregular orbits. For regular orbits, which are quasi-periodic and have from three to five isolating integrals, the time-averaged phase-space density contributed by a particle is constant at the intersection of the hypersurfaces in phase space that are picked out by the isolating integrals. So the distribution function of a system that supports only regular orbits satisfies Jean's theorem. For irregular orbits, the phase-space density that is contributed is not constant at the intersection of the hypersurfaces defined by its isolating integrals. So the distribution functions of systems involving such orbits do not obey Jean's theorem or the Vlasov equation.

Printing Options

Print whole paper
Print Page(s) through

Return 600 dpi PDF to Acrobat/Browser. Different resolutions (200 or 600 dpi), formats (Postscript, PDF, etc), page sizes (US Letter, European A4, etc), and compression (gzip,compress,none) can be set through the Printing Preferences


More Article Retrieval Options

HELP for Article Retrieval
Bibtex entry for this abstract   Preferred format for this abstract (see Preferences)
   

Find Similar Abstracts:

Use: Authors
Title
Keywords (in text query field)
Abstract Text
Return: Query Results Return    items starting with number
Query Form
Database: Astronomy
Physics
arXiv e-prints