The motion of a charged satellite subjected to the Earth’s magnetic field is considered. The Lorentz force, which acts on a charged particle when it is moving through a magnetic field, provides a new concept of propellantless electromagnetic propulsion. A dynamic model of a charged satellite, including the effect of the Lorentz force in the vicinity of a circular or an elliptic orbit, is derived and its application to formation flying is considered. Based on Hill–Clohessy–Wiltshire equations and Tschauner–Hempel equations, analytical approximations for the relative motion in Earth orbit are obtained. The analysis based on the linearized equations shows the controllability of the system by stepwise charge control. The sequential quadratic programming method is applied to solve the orbital transfer problem of the original nonlinear equations in which the analytical solutions cannot be obtained. A strategy to reduce the charge amount using sequential quadratic programming is also developed.
Spacecraft Formation Flying Dynamics and Control Using the Geomagnetic Lorentz Force
Journal of Guidance, Control, and Dynamics ; 36 , 1 ; 136-148
2012-12-18
13 pages
Article (Journal)
Electronic Resource
English
Dynamics and control of spacecraft hovering using the geomagnetic Lorentz force
Online Contents | 2014
|Dynamics and Control of Lorentz-Augmented Spacecraft Formation Flying
Springer Verlag | 2016
|Spacecraft Formation Flying using Lorentz Forces
Online Contents | 2007
|Spacecraft Relative Dynamics under the Influence of Geomagnetic Lorentz Force
British Library Conference Proceedings | 2010
|