Analytical Study of Periodic Solutions on Perturbed Equatorial Two-Body Problem

DOI10.1142/S0218127415400404zbMath1334.70021MaRDI QIDQ2800679

Hadia H. Selim, Elbaz I. Abouelmagd, Daniele Mortari

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

perturbation methodsperturbed two-body problemRunge-Kutta algorithmKBM methodLindstedt-Poincaré technique

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) General perturbation schemes for nonlinear problems in mechanics (70K60) Two-body problems (70F05)

Related Items (3)

Mathematical algorithm for solving two-body problem ⋮ Perturbation of relativistic effect in the dynamics of test particle ⋮ The perturbed photogravitational restricted three-body problem: analysis of resonant periodic orbits

Cites Work

• Unnamed Item
• Complete closed-form solutions of the Stark problem
• On the dynamics of the rigid body with a fixed point: periodic orbits and integrability
• Fundamentals of astrodynamics and applications. With technical contributions by Wayne D. McClain.
• Dynamics of a dumbbell satellite under the zonal harmonic effect of an oblate body
• Nonlinear Dynamical Systems in Engineering

This page was built for publication: Analytical Study of Periodic Solutions on Perturbed Equatorial Two-Body Problem