A special class of potentials admitting a local integral

Details A special class of potentials admitting a local integral A special class of potentials admitting a local integral

Oct 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992azh....69..971a&link_type=abstract

Astronomicheskij Zhurnal (ISSN 0004-6299), vol. 69, no. 5, p. 971-977.

Astronomy and Astrophysics

Astronomy

Integral Calculus, Potential Theory, Three Dimensional Motion, Velocity Distribution, Linear Equations, Numerical Differentiation

Scientific paper

Certain three-dimensional potentials admit only a two-valued field of
space velocities with an arbitrary energy constant. Conditions are found
for this type of behavior of the velocity vectors. The models considered
here can be used to study stellar motion in quasi-spherically symmetric
stellar systems.

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