Title :
On nonlinear resonances in oscillations of charged satellite
Author :
Kosjakov, Evgeniy A. ; Tikhonov, A.A.
Author_Institution :
St. Petersburg State Univ., St. Petersburg, Russia
Abstract :
We consider a satellite in a Keplerian circular orbit in the Earth´s gravitational and magnetic fields. The satellite´s librational motion near gravitationally stable equilibrium position is investigated. With taking into account the non-linear terms up to the third order of smallness the spectral structure of the Lorentz torque is analyzed. Possible resonant combinations due to the disturbing torque in the attitude motion of gravity oriented satellite are revealed. Relevant curves are plotted on the plane of the dimensionless inertial parameters of the satellite.
Keywords :
artificial satellites; celestial mechanics; geomagnetism; gravity; torque; Earth gravitational field; Earth magnetic field; Keplerian circular orbit; Lorentz torque; attitude motion; charged satellite oscillations; disturbing torque; gravitationally stable equilibrium position; gravity oriented satellite; inertial parameters; nonlinear resonances; nonlinear terms; resonant combinations; satellite librational motion; spectral structure; Approximation methods; Earth; Mathematical model; Orbits; Oscillators; Satellites; Torque;
Conference_Titel :
Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on
Conference_Location :
Saint Petersburg
DOI :
10.1109/POLYAKHOV.2015.7106740
