Journal of Dynamical Systems and Geometric Theories · 2012 · 23 citations · 6 references
Natural SciencesMathematicsCelestial MechanicsDynamical SystemsOrbital MechanicsOrbital DynamicsOrbital StabilityStability Of OrbitsStability TheoryCentral Force MotionCentral Force ProblemsCircular OrbitsJacobi PolynomialsOrbit Stability Analysis
Abstract We examine the stability of circular orbits in a central force field from the Jacobi stability point of view (the KCC theory) and assert that condition for Jacobi stable circular orbits is the same known classical Liapunov stability criteria.
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Choice Reviews Online · 2006 · 586 citations
Some remarks on Jacobi stability
Sorin V. Sabău · Nonlinear Analysis · 2005 · 73 citations
Jacobi stability of the vacuum in the static spherically symmetric brane world models
Tiberiu Harko, Vasile Sorin Sabău · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology · 2008 · 58 citations · Full text
Natural Sciences, Physics, Cosmology +16
NONLINEAR STABILITY ANALYSIS OF THE EMDEN-FOWLER EQUATION
Christian G. Böhmer, Tiberiu Harko · 2016 · 51 citations