Station-keeping for quasi-periodic orbits

Research output: Contribution to conferencePaper

Abstract

The shallow gravity gradient in the libration point regions enables manoeuvring at low ∆v expenses, but implicates a sensitivity to small perturbations. A variety of bounded orbits can be determined around each libration point and station-keeping is required to maintain them for multiple revolutions. In this paper, a station-keeping algorithm based on the orbital lifetime expectancy is proposed for so-called quasi-periodic solutions. The method introduced is based on the identification of a manoeuvre maximising the lifetime of an orbit within defined boundaries. The manoeuvre direction and magnitude is finally optimised with a differential evolution algorithm. The novelty of the method presented here is the identification of the downstream centre manifold by the lifetime analysis to preserve the orbit with its properties forward in time. The study shows that the manoeuvre direction is directly correlated to stability information that is provided by the Floquet modal theory. Finally, numerical calculations were carried out for trajectories around the far-side libration point in the Earth-Moon system to show the effectiveness of this station-keeping approach. The robustness is proven by the introduction of errors and the evaluation of their impact.

Conference

Conference65th International Astronautical Congress
Abbreviated titleIAC2014
CountryCanada
CityToronto
Period29/09/143/10/14

Fingerprint

libration
maneuvers
Orbits
stations
orbits
orbital lifetime
Earth-Moon system
life (durability)
Moon
Gravitation
Earth (planet)
Trajectories
trajectories
gravitation
perturbation
gradients
evaluation
sensitivity

Keywords

  • quasi-periodic orbits
  • manoeuvre direction
  • station-keeping
  • libration point orbits
  • orbital lifetime analysis

Cite this

Duering, M., Landgraf, M., & Vasile, M. (2014). Station-keeping for quasi-periodic orbits. 1-10. Paper presented at 65th International Astronautical Congress, Toronto, Canada.
Duering, Marcel ; Landgraf, Markus ; Vasile, Massimiliano. / Station-keeping for quasi-periodic orbits. Paper presented at 65th International Astronautical Congress, Toronto, Canada.10 p.
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abstract = "The shallow gravity gradient in the libration point regions enables manoeuvring at low ∆v expenses, but implicates a sensitivity to small perturbations. A variety of bounded orbits can be determined around each libration point and station-keeping is required to maintain them for multiple revolutions. In this paper, a station-keeping algorithm based on the orbital lifetime expectancy is proposed for so-called quasi-periodic solutions. The method introduced is based on the identification of a manoeuvre maximising the lifetime of an orbit within defined boundaries. The manoeuvre direction and magnitude is finally optimised with a differential evolution algorithm. The novelty of the method presented here is the identification of the downstream centre manifold by the lifetime analysis to preserve the orbit with its properties forward in time. The study shows that the manoeuvre direction is directly correlated to stability information that is provided by the Floquet modal theory. Finally, numerical calculations were carried out for trajectories around the far-side libration point in the Earth-Moon system to show the effectiveness of this station-keeping approach. The robustness is proven by the introduction of errors and the evaluation of their impact.",
keywords = "quasi-periodic orbits, manoeuvre direction, station-keeping, libration point orbits, orbital lifetime analysis",
author = "Marcel Duering and Markus Landgraf and Massimiliano Vasile",
year = "2014",
language = "English",
pages = "1--10",
note = "65th International Astronautical Congress : Our World Needs Space, IAC2014 ; Conference date: 29-09-2014 Through 03-10-2014",

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Duering, M, Landgraf, M & Vasile, M 2014, 'Station-keeping for quasi-periodic orbits' Paper presented at 65th International Astronautical Congress, Toronto, Canada, 29/09/14 - 3/10/14, pp. 1-10.

Station-keeping for quasi-periodic orbits. / Duering, Marcel; Landgraf, Markus; Vasile, Massimiliano.

2014. 1-10 Paper presented at 65th International Astronautical Congress, Toronto, Canada.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Station-keeping for quasi-periodic orbits

AU - Duering, Marcel

AU - Landgraf, Markus

AU - Vasile, Massimiliano

PY - 2014

Y1 - 2014

N2 - The shallow gravity gradient in the libration point regions enables manoeuvring at low ∆v expenses, but implicates a sensitivity to small perturbations. A variety of bounded orbits can be determined around each libration point and station-keeping is required to maintain them for multiple revolutions. In this paper, a station-keeping algorithm based on the orbital lifetime expectancy is proposed for so-called quasi-periodic solutions. The method introduced is based on the identification of a manoeuvre maximising the lifetime of an orbit within defined boundaries. The manoeuvre direction and magnitude is finally optimised with a differential evolution algorithm. The novelty of the method presented here is the identification of the downstream centre manifold by the lifetime analysis to preserve the orbit with its properties forward in time. The study shows that the manoeuvre direction is directly correlated to stability information that is provided by the Floquet modal theory. Finally, numerical calculations were carried out for trajectories around the far-side libration point in the Earth-Moon system to show the effectiveness of this station-keeping approach. The robustness is proven by the introduction of errors and the evaluation of their impact.

AB - The shallow gravity gradient in the libration point regions enables manoeuvring at low ∆v expenses, but implicates a sensitivity to small perturbations. A variety of bounded orbits can be determined around each libration point and station-keeping is required to maintain them for multiple revolutions. In this paper, a station-keeping algorithm based on the orbital lifetime expectancy is proposed for so-called quasi-periodic solutions. The method introduced is based on the identification of a manoeuvre maximising the lifetime of an orbit within defined boundaries. The manoeuvre direction and magnitude is finally optimised with a differential evolution algorithm. The novelty of the method presented here is the identification of the downstream centre manifold by the lifetime analysis to preserve the orbit with its properties forward in time. The study shows that the manoeuvre direction is directly correlated to stability information that is provided by the Floquet modal theory. Finally, numerical calculations were carried out for trajectories around the far-side libration point in the Earth-Moon system to show the effectiveness of this station-keeping approach. The robustness is proven by the introduction of errors and the evaluation of their impact.

KW - quasi-periodic orbits

KW - manoeuvre direction

KW - station-keeping

KW - libration point orbits

KW - orbital lifetime analysis

UR - http://www.iafastro.org/

M3 - Paper

SP - 1

EP - 10

ER -

Duering M, Landgraf M, Vasile M. Station-keeping for quasi-periodic orbits. 2014. Paper presented at 65th International Astronautical Congress, Toronto, Canada.