Infinitesimal Orbit Dynamics around Equilibrium Points in the Oblate RTBP

Autor:	S. E. Abd El-Bar
Rok vydání:	2021
Předmět:	Equilibrium point Physics Classical mechanics Computer simulation Space and Planetary Science Infinitesimal Operator (physics) Orbit (dynamics) Aerospace Engineering Perturbation (astronomy) Astrophysics::Earth and Planetary Astrophysics Three-body problem Hamiltonian (control theory)
Zdroj:	The Journal of the Astronautical Sciences. 68:805-825
ISSN:	2195-0571 0021-9142
Popis:	In this research, we discussed the equilibruim points in the restricted three body problem (in brief RTBP) such as computing infinitesimal orbits. We investigated the dynamics of the orbits around the equilibrium points in the oblate restricted of three bodies problem. We costructed the problem formulation of infinitesimal orbit by applying the perturbation forces, the Hamiltonian of the dynamical problem is formulated. The transformed Hamiltonian near any one of the equilibrium points is obtained. A Lie operator method is applied to find the solution of the dynamical problem. The explicit first and second order solutions for the coordinates and their conjugate momenta of a particle in the infinitesimal orbit around equilibrium points are obtained. Numerical simulation of infinitesimal orbit around equilibrium points in the Earth-Moon (EM) system are deduced.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c1eb684e7905e8120c3b00f4a302a4ce https://doi.org/10.1007/s40295-021-00275-y Zobrazit plný text záznamu Full text from SpringerLink