On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit

DOI10.1016/0362-546X(85)90079-3zbMath0581.70024OpenAlexW1998583595MaRDI QIDQ3703347

No author found.

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90079-3

zbMATH Keywords

periodic solutionselliptic orbitsapproximation-solvabilitysemilinear equation at resonancegeneralized topological degree for A-proper mappingsperiod boundary value problemstability of period motion

Mathematics Subject Classification ID

Orbital mechanics (70M20)

Related Items

Stable odd solutions of some periodic equations modeling satellite motion., Unnamed Item, Periodic solutions for systems of forced coupled pendulum-like equations, Note on a differential equation describing the periodic motion of a satellite in its elliptical orbit, On a class of singular Sturm-Liouville periodic boundary value problems, Forced second order conservative systems with periodic nonlinearity, Periodic solutions for a dumbbell satellite equation, Unnamed Item, \(A\)-properness of contractive and condensing maps, Existence and stability of periodic oscillations of a rigid dumbbell satellite around its center of mass

Cites Work

• Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative
• Expension of some results concerning the generalized Lienard equation
• Periodic solutions of nonlinear second-order equations which are not solved for the highest derivative
• Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
• Using degree theory for densely defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part