Stability of relative equilibria in arbitrary axisymmetric gravitational and magnetic fields

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Publication:1975861

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DOI10.1023/A:1008388105585zbMath0952.70016MaRDI QIDQ1975861

James E. Howard

Publication date: 11 January 2001

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

zbMATH Keywords

circular orbits sufficient conditions for Lyapunov stability current density electrostatic fields oblate spheroids problem of two fixed centers axisymmetric fields dimensionless indices finite thin disks harmonic gravitational fields irrotational magnetic fields J(2)-planetary model local mass change source-free regions stability of isolated equilibria toroidal quadrupole fields

Mathematics Subject Classification ID

Celestial mechanics (70F15) Motion of charged particles (78A35) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (4)

Orbits of charged particles with an azimuthal initial velocity in a dipole magnetic field ⋮ Nonlinear stability of the equilibria in a double-bar rotating system ⋮ Orbital stability in static axisymmetric fields ⋮ Discrete virial theorem

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