Abstract
In a series of previous article (Bonnard and Caillau, Ann Inst H Poincaré Anal Non Linéaire 24(3):395–411, 2007; Forum Math 21(5):797–814, 2009), we introduced a Riemannian metric associated to the energy minimizing orbital transfer with low propulsion. The aim of this article is to study the deformation of this metric due to a standard perturbation in space mechanics, the lunar attraction. Using Hamiltonian formalism, we describe the effects of the perturbation on the orbital transfers and the deformation of the conjugate and cut loci of the original metric.
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References
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Acknowledgements
Work supported in part by the French Space Agency CNES, R&T action R-S13/BS-005-012 and by the region Provence-Alpes-Côte d’Azur.
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Bonnard, B., Henninger, H., Rouot, J. (2015). Lunar Perturbation of the Metric Associated to the Averaged Orbital Transfer. In: Bettiol, P., Cannarsa, P., Colombo, G., Motta, M., Rampazzo, F. (eds) Analysis and Geometry in Control Theory and its Applications. Springer INdAM Series, vol 11. Springer, Cham. https://doi.org/10.1007/978-3-319-06917-3_3
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DOI: https://doi.org/10.1007/978-3-319-06917-3_3
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