Solar sail trajectories at the Earth-Moon Lagrange points

Jules Simo, Colin R. McInnes

Research output: Contribution to conferencePaper

17 Citations (Scopus)

Abstract

Paper presented during Session 3, Orbital Dynamics, Symposium C1, Astrodynamics, Paper Number 13. This paper investigates displaced periodic orbits at linear order in the circular restricted Earth-Moon system, where the third massless body is a solar sail. These highly non-Keplerian orbits are achieved using an extremely small sail acceleration. The solar sail Earth-Moon system differs greatly from the Earth-Sun system as the Sun line direction varies continuously in the rotating frame and the equations of motion of the sail are given by a set of nonlinear non-autonomous ordinary differential equations. By introducing a first-order approximation, periodic orbits are derived analytically at linear order. These approximate analytical solutions are utilized in a numerical search to determine displaced periodic orbits in the full nonlinear model. The importance of finding such displaced orbits is to obtain continuous communications between the equatorial regions of the Earth and the polar regions of the Moon. As will be shown, displaced periodic orbits exist at all Lagrange points at linear order.
LanguageEnglish
Number of pages7
Publication statusPublished - Oct 2008
Event59th International Astronautical Congress - Glasgow, Scotland
Duration: 29 Sep 20083 Oct 2008

Conference

Conference59th International Astronautical Congress
CityGlasgow, Scotland
Period29/09/083/10/08

Fingerprint

Moon
Orbits
Earth (planet)
Trajectories
Sun
Space flight
Ordinary differential equations
Equations of motion
Communication

Keywords

  • solar sails
  • trajectories
  • earth
  • moon
  • lagrange points
  • orbits

Cite this

Simo, J., & McInnes, C. R. (2008). Solar sail trajectories at the Earth-Moon Lagrange points. Paper presented at 59th International Astronautical Congress, Glasgow, Scotland, .
Simo, Jules ; McInnes, Colin R. / Solar sail trajectories at the Earth-Moon Lagrange points. Paper presented at 59th International Astronautical Congress, Glasgow, Scotland, .7 p.
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abstract = "Paper presented during Session 3, Orbital Dynamics, Symposium C1, Astrodynamics, Paper Number 13. This paper investigates displaced periodic orbits at linear order in the circular restricted Earth-Moon system, where the third massless body is a solar sail. These highly non-Keplerian orbits are achieved using an extremely small sail acceleration. The solar sail Earth-Moon system differs greatly from the Earth-Sun system as the Sun line direction varies continuously in the rotating frame and the equations of motion of the sail are given by a set of nonlinear non-autonomous ordinary differential equations. By introducing a first-order approximation, periodic orbits are derived analytically at linear order. These approximate analytical solutions are utilized in a numerical search to determine displaced periodic orbits in the full nonlinear model. The importance of finding such displaced orbits is to obtain continuous communications between the equatorial regions of the Earth and the polar regions of the Moon. As will be shown, displaced periodic orbits exist at all Lagrange points at linear order.",
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Simo, J & McInnes, CR 2008, 'Solar sail trajectories at the Earth-Moon Lagrange points' Paper presented at 59th International Astronautical Congress, Glasgow, Scotland, 29/09/08 - 3/10/08, .

Solar sail trajectories at the Earth-Moon Lagrange points. / Simo, Jules; McInnes, Colin R.

2008. Paper presented at 59th International Astronautical Congress, Glasgow, Scotland, .

Research output: Contribution to conferencePaper

TY - CONF

T1 - Solar sail trajectories at the Earth-Moon Lagrange points

AU - Simo, Jules

AU - McInnes, Colin R.

PY - 2008/10

Y1 - 2008/10

N2 - Paper presented during Session 3, Orbital Dynamics, Symposium C1, Astrodynamics, Paper Number 13. This paper investigates displaced periodic orbits at linear order in the circular restricted Earth-Moon system, where the third massless body is a solar sail. These highly non-Keplerian orbits are achieved using an extremely small sail acceleration. The solar sail Earth-Moon system differs greatly from the Earth-Sun system as the Sun line direction varies continuously in the rotating frame and the equations of motion of the sail are given by a set of nonlinear non-autonomous ordinary differential equations. By introducing a first-order approximation, periodic orbits are derived analytically at linear order. These approximate analytical solutions are utilized in a numerical search to determine displaced periodic orbits in the full nonlinear model. The importance of finding such displaced orbits is to obtain continuous communications between the equatorial regions of the Earth and the polar regions of the Moon. As will be shown, displaced periodic orbits exist at all Lagrange points at linear order.

AB - Paper presented during Session 3, Orbital Dynamics, Symposium C1, Astrodynamics, Paper Number 13. This paper investigates displaced periodic orbits at linear order in the circular restricted Earth-Moon system, where the third massless body is a solar sail. These highly non-Keplerian orbits are achieved using an extremely small sail acceleration. The solar sail Earth-Moon system differs greatly from the Earth-Sun system as the Sun line direction varies continuously in the rotating frame and the equations of motion of the sail are given by a set of nonlinear non-autonomous ordinary differential equations. By introducing a first-order approximation, periodic orbits are derived analytically at linear order. These approximate analytical solutions are utilized in a numerical search to determine displaced periodic orbits in the full nonlinear model. The importance of finding such displaced orbits is to obtain continuous communications between the equatorial regions of the Earth and the polar regions of the Moon. As will be shown, displaced periodic orbits exist at all Lagrange points at linear order.

KW - solar sails

KW - trajectories

KW - earth

KW - moon

KW - lagrange points

KW - orbits

M3 - Paper

ER -

Simo J, McInnes CR. Solar sail trajectories at the Earth-Moon Lagrange points. 2008. Paper presented at 59th International Astronautical Congress, Glasgow, Scotland, .