Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mnras.210..711n&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 210, Oct. 1, 1984, p. 711-730.
Astronomy and Astrophysics
Astronomy
49
Distribution Functions, Galactic Structure, Iterative Solution, Mass Distribution, Radial Velocity, Star Distribution, Algorithms, Astronomical Photometry, Astronomical Spectroscopy, Cosmology, Mass To Light Ratios, Poisson Equation, Velocity Distribution, Vlasov Equations
Scientific paper
Given a complete set of photometric and spectroscopic observations of a spherical galaxy, and an adopted form of the potential Φ(r), Binney and Mamon (1982) showed how to calculate stellar density ν(r) and radial velocity dispersion σr(r) profiles. However, their work left open the question of whether these profiles can be derived from a non-negative distribution function, f. Here the authors have developed an algorithm for constructing a non-negative distribution function f(ɛ, J) that generates given runs of ν and σr, in the adopted Φ. Tests of the algorithm demonstrate its ability to reproduce a distribution function which yields specified ν and σr profiles, and illustrate the behaviour of the algorithm when ν and σr have been derived from a partly negative distribution function. The authors have applied their algorithm to the ν and σr profiles of M87 obtained by Binney and Mamon.
Binney James
Newton A. J.
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