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Astronomy and Cosmology
Astronomy and Astrophysics
Is a horseshoe orbit a hyperbolic orbit?
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[QUOTE="Drakkith, post: 6615066, member: 272035"] I'm with Filip. A hyperbolic orbit is a description of a 2-body interaction, or one in which you can closely approximate a 2-body interaction. To elaborate a bit, a hyperbolic orbit is a type of Keplerian orbit. Per wiki a Keplerian orbit is:[I] the motion of one body relative to another, as an ellipse, parabola, or hyperbola, which forms a two-dimensional orbital plane in three-dimensional space. A Kepler orbit can also form a straight line. It considers only the point-like gravitational attraction of two bodies, neglecting perturbations due to gravitational interactions with other objects, atmospheric drag, solar radiation pressure, a non-spherical central body, and so on.[/I] A horseshoe orbit is inherently a multi-body interaction and does not stay in a single plane like a Keplerian orbit does. Whatever you'd have to do to somehow fit a horseshoe orbit into the classification of a hyperbolic orbit would undoubtedly take things out of classical gravitation and thus away from the simple Keplerian orbits anyways. [/QUOTE]
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Astronomy and Astrophysics
Is a horseshoe orbit a hyperbolic orbit?
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