SUBTLE IS THE LORD: ON THE DIFFERENCE BETWEEN NEWTONIAN (LYAPUNOV) STABILITY ANALYSIS AND GEOMETRICAL STABILITY ANALYSIS OF GRAVITATIONAL ORBITS

DOI10.1142/S0218271811020639zbMath1263.83035MaRDI QIDQ4914243

Asher Yahalom, Jacob Levitan, Lawrence P. Horwitz, Meir Lewkowicz

Publication date: 18 April 2013

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentslinear analysisgeometrical methodsstability of Keplerian orbits

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Cites Work

• Lyapunov vs. Geometrical stability analysis of the Kepler and the restricted three body problems
• Unnamed Item

This page was built for publication: SUBTLE IS THE LORD: ON THE DIFFERENCE BETWEEN NEWTONIAN (LYAPUNOV) STABILITY ANALYSIS AND GEOMETRICAL STABILITY ANALYSIS OF GRAVITATIONAL ORBITS