On nonlinear resonances in oscillations of charged satellite

Author

Kosjakov, Evgeniy A. ; Tikhonov, A.A.

Author_Institution

St. Petersburg State Univ., St. Petersburg, Russia

fYear

2015

fDate

2-6 Feb. 2015

Firstpage

1

Lastpage

6

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on

Conference_Location

Saint Petersburg

Type

conf

DOI

10.1109/POLYAKHOV.2015.7106740

Filename

7106740