Equilibria of a charged artificial satellite subject to gravitational and Lorentz torques

Abdel‐Aziz, Yehia A.; Shoaib, Muhammad

doi:10.1088/1674-4527/14/7/011

Cited by 2 publications

(2 citation statements)

References 32 publications

(34 reference statements)

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“…Abdel-Aziz [10] found the periodic solution of a spacecraft using an approximated model of the Earth magnetic field model. Abdel-Aziz and Shoaib [15] studied the effects of Lorentz force on the attitude dynamics of an electyrostatic spacecraft moving in a circular orbit and used charge to mass ratio as semi-passive control. In this paper we use a similar model of Lorentz force but the spacecraft is considered to be in an elliptic orbit.…”

Section: Introductionmentioning

confidence: 99%

Periodic solutions for rotational motion of an axially symmetric charged satellite

Abdel‐Aziz¹,

Shoaib²

2015

ams

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The present paper is devoted to the investigation of sufficient conditions for the existence of periodic solutions in the vicinity of stationary motion of a charged satellite in elliptic orbit. Lorentz forces which result from the motion of a charged satellite relative to the magnetic field of the Earth are considered. An axial symmetry is assumed about the center of mass of the satellite. In addition to the Lorentz force the perturbation caused by gravitational and magnetic fields of the Earth are considered. The stationary solutions and periodic orbits close to them are obtained using the Lyapunov theorem of holomorphic integral. Numerical results are used to explain the periodic motion of a certain satellite. It is shown that the charge-to-mass ratio has a significant influence on the periodic motion of satellites.

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Section: Introductionmentioning

confidence: 99%

Periodic solutions for rotational motion of an axially symmetric charged satellite

Abdel‐Aziz¹,

Shoaib²

2015

ams

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“…Their analysis of the stability of the equilibrium points only focused on the pitch direction within the equatorial plane. In a recent study, Abdel-Aziz & Shoaib (2014) studied the relation between the magnitude of Lorentz torque and inclination of the orbits for certain equilibrium positions where the spacecraft was considered to be in a circular orbit.…”

Section: Introductionmentioning

confidence: 99%

Attitude dynamics and control of spacecraft using geomagnetic Lorentz force

Abdel‐Aziz

Shoaib

2015

Res. Astron. Astrophys.

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The attitude stabilization of a charged rigid spacecraft in Low Earth Orbit (LEO) using torques due to Lorentz force in pitch and roll directions is considered. A spacecraft that generates an electrostatic charge on its surface in the Earth magnetic field will be subject to perturbations from Lorentz force. The Lorentz force acting on an electrostatically charged spacecraft may provide a useful thrust for controlling a spacecraft's orientation. We assume that the spacecraft is moving in the Earth's magnetic field in an elliptical orbit under the effects of the gravitational, geomagnetic and Lorentz torques. The magnetic field of the Earth is modeled as a non-tilted dipole. A model incorporating all Lorentz torques as a function of orbital elements has been developed on the basis of electric and magnetic fields. The stability of the spacecraft orientation is investigated both analytically and numerically. The existence and stability of equilibrium positions is investigated for different values of the charge to mass ratio (α * ). Stable orbits are identified for various values of α * . The main parameters for stabilization of the spacecraft are α * and the difference between the components of the moment of inertia of spacecraft.

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Equilibria of a charged artificial satellite subject to gravitational and Lorentz torques

Cited by 2 publications

References 32 publications

Periodic solutions for rotational motion of an axially symmetric charged satellite

Periodic solutions for rotational motion of an axially symmetric charged satellite

Attitude dynamics and control of spacecraft using geomagnetic Lorentz force

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