Solution of the inverse problem of stellar dynamics in the plane case

Astronomy and Astrophysics – Astronomy

Scientific paper

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Stellar Motions, Trajectory Analysis, Differential Equations, Potential Theory, Roots Of Equations

Scientific paper

The paper is concerned with the problem of constructing the potential
from a specified one-parameter family of trajectories in the plane case.
An algorithm for solving the Szebehely equation is presented which is
based on Zhukowski's formula. The discussion is illustrated by several
specific examples.

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