Spacecraft formation flying dynamics and control using the geomagnetic lorentz force

Shu Tsujii, Mai Bando, Hiroshi Yamakawa

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

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.Astrategy to reduce the charge amount using sequential quadratic programming is also developed.

Original languageEnglish
Pages (from-to)136-148
Number of pages13
JournalJournal of Guidance, Control, and Dynamics
Volume36
Issue number1
DOIs
Publication statusPublished - Jan 1 2013

Fingerprint

Formation Flying
formation flying
Lorentz force
Quadratic programming
Spacecraft
quadratic programming
Electromagnetic propulsion
spacecraft
Orbits
Earth (planet)
Satellites
Magnetic fields
Quadratic Programming
Orbital transfer
electromagnetic propulsion
Charged particles
Controllability
Orbit
Magnetic Field
Charge

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

Spacecraft formation flying dynamics and control using the geomagnetic lorentz force. / Tsujii, Shu; Bando, Mai; Yamakawa, Hiroshi.

In: Journal of Guidance, Control, and Dynamics, Vol. 36, No. 1, 01.01.2013, p. 136-148.

Research output: Contribution to journalArticle

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