A charged solid body (CSB) moving along the circular Kepler orbit in the central Newtonian gravitational field under conditions of interaction with the dipole magnetic field (MF), is considered. The effect of the disturbing Lorentz forces arising during CSB motion in MF on CSB oscillations in respect to the centre of mass under conditions of nonlinear resonances, is studied. The differential equations for the disturbed nonlinear oscillations of the gravitational oriented solid body derived by the author earlier, are used for the analysis. The 22 parametric and 4 internal nonlinear resonances connected with quadratic nonlinear terms and realized in the gravitation orientation area have been revealed.

Original languageRussian
Pages (from-to)58-65
Number of pages8
JournalVestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya
Issue number3
StatePublished - 1 Jul 1992

    Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

ID: 29121858