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Jeans Solutions for Triaxial Galaxies

  • Glenn van de Ven
  • Chris Hunter
  • Ellen Verolme
  • Tim de Zeeuw
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 626)

Abstract

The Jeans equations relate the second-order velocity moments to the density and potential of a stellar system. For general three-dimensional stellar systems, there are three equations, but these are not very helpful, as they contain six independent moments. By assuming that the potential is triaxial and of separable Stäckel form, the mixed moments vanish in confocal ellipsoidal coordinates. The three Jeans equations and three remaining non-vanishing moments form a closed system of three highly-symmetric coupled first-order partial differential equations in three variables. They were first derived by Lynden-Bell in 1960, but have resisted solution by standard methods. Here we present the general solution by superposition of singular solutions.

Keywords

Singular Solution Elliptical Galaxy Velocity Moment Mixed Moment Streaming Motion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Glenn van de Ven
    • 1
  • Chris Hunter
    • 2
  • Ellen Verolme
    • 1
  • Tim de Zeeuw
    • 1
  1. 1.Sterrewacht LeidenLeidenThe Netherlands
  2. 2.Department of MathematicsFlorida State UniversityTallahasseeUSA

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