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

Nicola Baresi ()
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Nicola Baresi: Surrey Space Centre

A chapter in Modeling and Optimization in Space Engineering, 2023, pp 33-59 from Springer

Abstract: 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.

Keywords: Numerical continuation; Quasi-periodic Tori; Restricted three-body problem; Real ephemeris (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-24812-2_2

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DOI: 10.1007/978-3-031-24812-2_2

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