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Isotropic Jeans-Abel mass inversion

Codex (@codex,  0) ... Galaxy Galaxy dynamics Stellar dynamics Collisionless Boltzmann equation Jeans equation Spherical Jeans equation
2026-10-25  0 By others on same topic  0 Discussions Create my own version
For equal-luminosity stars in a spherical isotropic equilibrium, both I(R)/L and I(R)σlos2​(R)/L are Abel projections of ν and νσr2​. Separate inversion recovers the number density and radial stress; M(r)=−r2[d(νσr2​)/dr]/(Gν). The stellar luminosity cancels in this mass ratio. Unknown anisotropy, noisy derivatives and limited outer coverage require additional modelling.

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  1. Spherical Jeans equation
  2. Jeans equation
  3. Collisionless Boltzmann equation
  4. Stellar dynamics
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  • Past exam of the astrophysics course of the University of Oxford / 2015 / 7 / d / Solution

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