Differential algebra mappings of CR3BP periodic solutions

This dataset is made of twenty-three items containing polynomial mappings of families of periodic solutions of the circular restricted 3-body problem (CR3BP) [1], here the Earth-Moon and the Sun-(Earth-Moon) systems. Each file stores a list of differential algebra (DA) [2] maps representing these families with their associated domains of definition. The DA maps were computed using DA solving of two-point boundary value problem [3] and allow one to access initial conditions of solutions of the CR3BP by polynomial evaluation instead of heavy computations, provided the files containing the DA polynomials. Each family is available with three different accuracies, also called tolerances. They are, with increasing accuracy, 1e-5, 1e-8, and 1e-10. The most accurate ones have higher loading and evaluation times and use more disk space but give better approximations of the families.<br> The code DAHALOa_reader allows to read these files and can on GitHub: ThomasClb/DAHALOa_reader (github.com) <strong>References</strong><br> [1] V. Szebehely, ‘Theory of Orbit', Academic Press, 1967, pp. 7-41. DOI: 10.1016/B978-0-12-395732-0.50007-6<br> [2] R. Armellin, P. Di Lizia, et al., ’Asteroid close encounters characterization using differential algebra: the case of Apophis', Celestial Mechanics and Dynamical Astronomy, Vol. 107, No. 4, 2010, pp. 451-470. DOI: 10.1007/s10569-010-9283-5<br> [3] P. Di Lizia, R. Armellin, and M. Lavagna, 'Application of high order expansions of two-point boundary value problems to astrodynamics', Celestial Mechanics and Dynamical Astronomy, Vol. 102, No. 4, 2008, pp. 355-375. DOI: 10.1007/s10569-008-9170-5