Invariant manifolds and orbit control in the solar sail three-body problem

Thomas J. Waters, Colin R. McInnes

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In this paper we consider issues regarding the control and orbit transfer of solar sails in the circular restricted Earth-Sun system. Fixed points for solar sails in this system have the linear dynamical properties of saddles crossed with centers; thus the fixed points are dynamically unstable and control is required. A natural mechanism of control presents itself: variations in the sail's orientation. We describe an optimal controller to control the sail onto fixed points and periodic orbits about fixed points. We find this controller to be very robust, and define sets of initial data using spherical coordinates to get a sense of the domain of controllability; we also perform a series of tests for control onto periodic orbits. We then present some mission strategies involving transfer form the Earth to fixed points and onto periodic orbits, and controlled heteroclinic transfers between fixed points on opposite sides of the Earth. Finally we present some novel methods to finding periodic orbits in circumstances where traditional methods break down, based on considerations of the Center Manifold theorem.
LanguageEnglish
Pages554-562
Number of pages9
JournalJournal of Guidance, Control and Dynamics
Volume31
Issue number3
DOIs
Publication statusPublished - May 2008

Fingerprint

Three-body Problem
ice ridge
three body problem
Invariant Manifolds
Orbits
Orbit
Fixed point
orbits
Solar sails
solar sails
Periodic Orbits
Earth (planet)
controllers
Orbital transfer
Controllers
transfer orbits
Controller
Center Manifold Theorem
Spherical coordinates
Controllability

Keywords

  • orbit control
  • solar sails
  • solar systems
  • control systems

Cite this

Waters, Thomas J. ; McInnes, Colin R. / Invariant manifolds and orbit control in the solar sail three-body problem. In: Journal of Guidance, Control and Dynamics. 2008 ; Vol. 31, No. 3. pp. 554-562.
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Invariant manifolds and orbit control in the solar sail three-body problem. / Waters, Thomas J.; McInnes, Colin R.

In: Journal of Guidance, Control and Dynamics, Vol. 31, No. 3, 05.2008, p. 554-562.

Research output: Contribution to journalArticle

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AU - McInnes, Colin R.

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AB - In this paper we consider issues regarding the control and orbit transfer of solar sails in the circular restricted Earth-Sun system. Fixed points for solar sails in this system have the linear dynamical properties of saddles crossed with centers; thus the fixed points are dynamically unstable and control is required. A natural mechanism of control presents itself: variations in the sail's orientation. We describe an optimal controller to control the sail onto fixed points and periodic orbits about fixed points. We find this controller to be very robust, and define sets of initial data using spherical coordinates to get a sense of the domain of controllability; we also perform a series of tests for control onto periodic orbits. We then present some mission strategies involving transfer form the Earth to fixed points and onto periodic orbits, and controlled heteroclinic transfers between fixed points on opposite sides of the Earth. Finally we present some novel methods to finding periodic orbits in circumstances where traditional methods break down, based on considerations of the Center Manifold theorem.

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KW - control systems

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