Three-integral models of globular clusters

Details Three-integral models of globular clusters Three-integral models of globular clusters

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987aj.....93.1106l&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 93, May 1987, p. 1106-1113. Research supported by the Fulbright-Hays Commission.

Astronomy and Astrophysics

Astronomy

30

Astronomical Models, Celestial Mechanics, Globular Clusters, Velocity Distribution, Angular Velocity, Eddington Approximation, Integral Equations, Maxwell-Boltzmann Density Function

Scientific paper

A rotating lowered Maxwellian model for globular clusters with an anisotropic velocity distribution is presented. In constructing these models all three of E, J-square, and J(z) have been treated as integrals of the motion in constructing the distribution function. Because the rotation leads to a nonspherical potential, J-squared is in fact only an approximate integral, and the distribution function does not obey the collisionless Boltzmann equation. The errors introduced by not employing the true third integral I(3) are small. These models have been applied to the globular cluster M13 in an accompanying paper.

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