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Transition of Two-Dimensional Quasi-periodic Invariant Tori in the Real-Ephemeris Model of the Earth–Moon System

In: Modeling and Optimization in Space Engineering

Author

Listed:
  • Nicola Baresi

    (Surrey Space Centre)

Abstract

Quasi-periodic invariant tori are emerging as a powerful tool to populate the phase space and enable a better understanding of key astrodynamics problems. This chapter introduces modern numerical continuation techniques for generating two-dimensional invariant tori in the elliptical restricted three-body problem of the Earth–Moon system. As a test case and baseline trajectories for the upcoming Lunar Orbital Platform Gateway, the (2:9) and (1:4) synodic resonant near rectilinear halo orbits are hereby considered. Their dynamical substitutes are first calculated and later analyzed using two-dimensional torus maps that facilitate the creation of accurate initial guesses for real-ephemeris orbits. The transition process is demonstrated with a trajectory optimization procedure that successfully generates continuous ballistic arcs around the Moon for more than one year.

Suggested Citation

  • Nicola Baresi, 2023. "Transition of Two-Dimensional Quasi-periodic Invariant Tori in the Real-Ephemeris Model of the Earth–Moon System," Springer Optimization and Its Applications, in: Giorgio Fasano & János D. Pintér (ed.), Modeling and Optimization in Space Engineering, pages 33-59, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-24812-2_2
    DOI: 10.1007/978-3-031-24812-2_2
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