Distance in the space of energetically bounded Keplerian orbits

DOI10.1007/s10569-010-9300-8zbMath1223.70018OpenAlexW2068746909MaRDI QIDQ642399

Jared M. Maruskin

Publication date: 26 October 2011

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-010-9300-8

zbMATH Keywords

Riemannian manifoldsmetric spacetopological spacegeodesic distancespace of Keplerian orbits

Mathematics Subject Classification ID

Two-body problems (70F05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Topological and differential topological methods for problems in mechanics (70G40)

Related Items (6)

Metrics in Keplerian orbits quotient spaces ⋮ Metrics on space of closed orbits for near-Earth objects identification ⋮ Kepler accuracy model for co-periodic satellite separation extrema ⋮ On a quotient space of Keplerian orbits ⋮ On local normability of spaces of Keplerian orbits ⋮ On distances between orbits of planets and asteroids

Cites Work

• Unnamed Item
• Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization
• Distance between two arbitrary unperturbed orbits
• An algebraic method to compute the critical points of the distance function between two Keplerian orbits
• Natural metrics in the spaces of elliptic orbits
• Metric spaces of Keplerian orbits
• Regularization of kepler's problem and the averaging method on a manifold

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