Abstract
In this paper we review the relations between Hamiltonian systems and the symplectic geometry in a simple context. We use them to reduce the degrees of freedom of the system. In particular they are used to obtain the solutions of the two-body problem.
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Acknowledgements
The authors were partially supported by the grant: Red de cuerpos académicos Ecuaciones Diferenciales. Proyecto sistemas dinámicos y estabilización. PROMEP 2011-SEP, México.
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Aĺvarez-Ramírez, M., García, R.J.A. (2016). An Introduction to Symplectic Coordinates. In: Toni, B. (eds) Mathematical Sciences with Multidisciplinary Applications. Springer Proceedings in Mathematics & Statistics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-31323-8_18
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DOI: https://doi.org/10.1007/978-3-319-31323-8_18
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