Numerical Investigation of Perturbation Effects on Orbital Classifications in the Restricted Three-Body Problem

Research output: Contribution to journalArticle

Abstract

Recently, a new class of trajectory design methods based on dynamical systems theory has been vigorously researched. The qualitative information regarding dynamical flows in the phase space of the circular-restricted three-body system, provided mostly by orbital classification, offers an effective framework for the trajectory design problem. In this study, the perturbation effect due to the other bodies as well as the eccentricity effect of the primaries on the orbital classification are examined in detail through numerical simulations. The design algorithm is then augmented, so that trajectories can be designed for the three-body system including perturbing forces. It is verified that a set of trajectories, captured ballistically by the smaller primary, is easily found on an arbitrarily chosen Poincaré section by the extended search procedure. As a direct application, furthermore, the design method for transfers between two elliptic orbits is demonstrated.

Original languageEnglish (US)
Pages (from-to)1901-1921
Number of pages21
JournalAdvances in the Astronautical Sciences
Volume114
Issue numberSUPPL.
StatePublished - Dec 1 2003

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three body problem
trajectory
Trajectories
perturbation
trajectories
orbitals
design method
System theory
eccentricity
dynamical systems
Dynamical systems
Orbits
orbits
effect
Computer simulation
simulation

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

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title = "Numerical Investigation of Perturbation Effects on Orbital Classifications in the Restricted Three-Body Problem",
abstract = "Recently, a new class of trajectory design methods based on dynamical systems theory has been vigorously researched. The qualitative information regarding dynamical flows in the phase space of the circular-restricted three-body system, provided mostly by orbital classification, offers an effective framework for the trajectory design problem. In this study, the perturbation effect due to the other bodies as well as the eccentricity effect of the primaries on the orbital classification are examined in detail through numerical simulations. The design algorithm is then augmented, so that trajectories can be designed for the three-body system including perturbing forces. It is verified that a set of trajectories, captured ballistically by the smaller primary, is easily found on an arbitrarily chosen Poincar{\'e} section by the extended search procedure. As a direct application, furthermore, the design method for transfers between two elliptic orbits is demonstrated.",
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Numerical Investigation of Perturbation Effects on Orbital Classifications in the Restricted Three-Body Problem. / Yamato, H.; Spencer, David Bradley.

In: Advances in the Astronautical Sciences, Vol. 114, No. SUPPL., 01.12.2003, p. 1901-1921.

Research output: Contribution to journalArticle

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