Statistics – Computation
Scientific paper
Oct 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991aj....102.1335m&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 102, Oct. 1991, p. 1335-1342.
Statistics
Computation
12
Astronomical Models, Elliptical Galaxies, Galactic Evolution, Computational Astrophysics, Integral Equations
Scientific paper
The hypothesis that highly flattened elliptical galaxies are edge-on axisymmetric systems that depend on only the two classical integrals of motion is tested. By deprojecting the observed kinematics of such a system, it is shown that simple global parameterizations of the degree of orbital anisotropy may not be appropriate. Therefore a method that tests the fit to a two integral model without requiring such a parameterization is presented. This test uses the integrated properties of the galaxy from a number of kinematic cuts to search for the systematic effects characteristic of a third integral. If a third integral is detected, a measure of its effect on the shape of the velocity ellipsoid can also be obtained. Application of this test to existing kinematic data from the galaxies NGC 4697 and NGC 1052 reveals the presence of a third integral in both systems. The case is particularly compelling for NGC 4697, where the observed kinematics are most naturally explained by a third integral that causes a modest degree of anisotropy in the velocity ellipsoid.
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