On the manifold ``gravitational propeller in the generalized circular Sitnikov problem

DOI10.3103/S0025654421080100OpenAlexW4226029565MaRDI QIDQ2695066

P. S. Krasil'nikov

Publication date: 30 March 2023

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654421080100

zbMATH Keywords

rodSitnikov problemintegral manifoldsorbit-attitude motion

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (1)

On the Dumb-Bell Equilibria in the Generalized Sitnikov Problem

Cites Work

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• On the circular Sitnikov problem: the alternation of stability and instability in the family of vertical motions
• Invariant rotational curves in Sitnikov's problem
• On the families of periodic orbits which bifurcate from the circular Sitnikov motions
• Subharmonic oscillations in the near-circular elliptic Sitnikov problem
• On the investigation of stability of equilibrium in Sitnikov problem in nonlinear formulation
• Attitude stability of a rigid body placed at an equilibrium point in the restricted problem of three bodies
• The structure of the extended phase space of the Sitnikov problem
• The restricted problem of three bodies with rigid dumb-bell satellite
• Periodic orbits of the Sitnikov problem via a Poincaré map

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