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World Scientific Monograph Series in Mathematics - Vol. 2
DYNAMICS AND MISSION DESIGN NEAR LIBRATION POINTS
Volume I: Fundamentals: The Case of Collinear Libration Points
by G Gómez (Universitat Politècnica de Catalunya, Spain), J Llibre, R Martínez (Universitat Autònoma de Barcelona, Spain) & C Simó (Universitat de Barcelona, Spain)
In this book the problem of station keeping is studied for orbits near libration points in the solar system. The main focus is on orbits near halo ones in the (Earth+Moon)–Sun system. Taking as starting point the restricted three-body problem, the motion in the full solar system is considered as a perturbation of this simplified model. All the study is done with enough generality to allow easy application to other primary–secondary systems as a simple extension of the analytical and numerical computations.
Contents:
- Bibliographical Survey
- Halo Orbits. Analytical and
Numerical Study
- The Neighborhood of the Halo Orbits: Numerical Study and Applications
- Analytical Solution of the Variational Equations. Analytical Computations of the Control Parameters
- The Equations of Motion for Halo Orbits Under the Effect of Perturbations and Near Triangular Points
- Expansions Required for the Equations of Motion. Collinear Points Case
- The Quasi-Periodic Orbits: Equations, Method of Solution and Results
- Numerical Refinement of the Quasi-Periodic Orbit: The Final Numerical Determination of the Orbit and of the Projection Factors
- The On/Off Control Strategy: Simulations and Discussion
- Other Cases and Further Simulations
- Summary and Outlook
Readership: Applied mathematicians, computational physicists and
aerospace engineers.
| 464pp |
Pub. date: Apr 2001 |
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