Lagrangian and Eulerian solutions of the generalized three-body problem in absolute axes

Physics

Scientific paper

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Celestial Mechanics, Euler-Lagrange Equation, Three Body Problem, Circular Orbits, Trajectory Analysis

Scientific paper

It is shown that the properties of Lagrangian and Eulerian motions established by classical celestial mechanics are applicable even to the most general cases formulated by Duboshin (1970). In addition, it is demonstrated that the trajectories of the points in these movements in absolute axes are infinite spirals revolving on the surfaces of infinite curvilinear cylinders.

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