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

Symmetry

M.Teresa de Bustos¹  MiguelA. López²  Raquel Martínez² 

[1] Departamento de Matemática Aplicada, Universidad de Salamanca, Casas del Parque, 2, 37008 Salamanca, Spain;Departamento de Matemáticas, Universidad de Castilla-La Mancha, Escuela Politécnica, Campus de Cuenca, 16071 Cuenca, Spain;

关键词: Periodic solutions;    circular Hill problem;    averaging theory;   

DOI  :  10.3390/sym11101196

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown