Kepler accuracy model for co-periodic satellite separation extrema

DOI10.1007/s10569-014-9534-yzbMath1298.70043OpenAlexW2092604318WikidataQ59318191 ScholiaQ59318191MaRDI QIDQ468561

Robert D. Furber

Publication date: 7 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10569-014-9534-y

zbMATH Keywords

co-periodic orbitsconfiguration manifoldestimated condition numberproper relative extremasatellite relative motion

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Celestial mechanics (70F15) Orbital mechanics (70M20)

Uses Software

• mctoolbox

Cites Work

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• Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization
• Distance in the space of energetically bounded Keplerian orbits
• Extrema and nowhere differentiable functions
• On the distance function between two Keplerian elliptic orbits
• Metric spaces of Keplerian orbits
• Introduction to Interval Analysis
• Accuracy and Stability of Numerical Algorithms
• The Discrete Sine Transform and the Spectrum of the Finiteq-ary Tree

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