An algebraic method to compute the critical points of the distance function between two Keplerian orbits

DOI10.1007/s10569-005-1623-5zbMath1129.70308OpenAlexW2035504670MaRDI QIDQ816904

Giovanni Federico Gronchi

Publication date: 2 March 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-005-1623-5

zbMATH Keywords

collisionsalgebraic methodsasteroids and cometsMOID

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15)

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Uses Software

• na10

Cites Work

• Numerical computation of polynomial zeros by means of Aberth's method
• Distance between two arbitrary unperturbed orbits
• The noncommutative Markovian property
• On the distance function between two Keplerian elliptic orbits
• On the Stationary Points of the Squared Distance between Two Ellipses with a Common Focus