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For refcode 1991AJ....102.1335M:
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Copyright by American Astronomical Society. Reproduced by permission
1991AJ....102.1335M MODELING EDGE-ON ELLIPTICAL GALAXIES: ARE TWO INTEGRALS ENOUGH? MICHAEL R. MERRIFIELD Canadian Institute for Theoretical Astrophysics, University of Toronto, Toronto, Ontario M5S 1A1, Canada Received 24 April 1991; revised 14 June 1991 ABSTRACT We test the hypothesis that highly flattened elliptical galaxies are edge-on axisymmetric systems that depend on only the two classical integrals of motion. By deprojecting the observed kinematics of such a system, we show that simple global parameterizations of the degree of orbital anisotropy may not be appropriate. We therefore present a method that tests the fit to a two integral model without requiring such a parameterization. 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, we can also obtain a measure of its effect on the shape of the velocity ellipsoid. 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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