The spinning bodies motion stability by Lyapunov in an axially symmetric gravitational field

DOI10.1007/BF00767275zbMath0626.70020MaRDI QIDQ581010

Anton P. Ryabushko, Alexander A. Bakhan'kov

Publication date: 1987

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

stabilityexistencecircular motion of spinning celestial bodiesfirst integrals of motionLense-Thirring fieldLyapunov regions

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Celestial mechanics (70F15) Orbital mechanics (70M20) Statics (70C20)

Related Items

Stability of noncircular and infinite motions of test bodies in general relativity ⋮ Stability of circular orbits of spinning particles in Schwarzschild-like space-times

Cites Work

• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Spinning test-particles in general relativity. I
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