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Open AccessArticle

The Circular Hill Problem Regarding Arbitrary Disturbing Forces: The Periodic Solutions that are Emerging from the Equilibria

1
Departamento de Matemática Aplicada, Universidad de Salamanca, Casas del Parque, 2, 37008 Salamanca, Spain
2
Departamento de Matemáticas, Universidad de Castilla-La Mancha, Escuela Politécnica, Campus de Cuenca, 16071 Cuenca, Spain
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1196; https://doi.org/10.3390/sym11101196
Received: 6 September 2019 / Revised: 19 September 2019 / Accepted: 20 September 2019 / Published: 24 September 2019
In this work, sufficient conditions for computing periodic solutions have been obtained in the circular Hill Problem with regard to arbitrary disturbing forces. This problem will be solved by means of using the averaging theory for dynamical systems as the main mathematical tool that has been applied in this work. View Full-Text
Keywords: Periodic solutions; circular Hill problem; averaging theory Periodic solutions; circular Hill problem; averaging theory
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de Bustos, M.T.; López, M.A.; Martínez, R. The Circular Hill Problem Regarding Arbitrary Disturbing Forces: The Periodic Solutions that are Emerging from the Equilibria. Symmetry 2019, 11, 1196.

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