Spatial Families of Orbits in 2D Conservative Fields

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Astronomical Observations, Astronomical And Space-Research Instrumentation, Astrometry And Reference Systems, Interstellar Medium And Nebulae In External Galaxies, Stellar Structure, Interiors, Evolution, Nucleosynthesis, Ages

Scientific paper

In the framework of the 3D inverse problem of dynamics, we establish the
conditions which must be fulfilled by a spatial family of curves to
possibly be described by a unit mass particle under the action of a 2D
potential V = ν(y,z), and give a method to find the potential.

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