Integrable Systems in Celestial Mechanics

Shows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern

Includes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case

Original insights that have hithertofore not appeared in book form

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Integrable Systems in Celestial Mechanics Ó'Mathúna, Diarmuid

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