On the Sitnikov problem
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Publication:2639655
DOI10.1007/BF00049419zbMath0718.70005MaRDI QIDQ2639655
Publication date: 1990
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Dynamical systems and ergodic theory (37-XX)
Related Items (16)
High order normal form construction near the elliptic orbit of the Sitnikov problem ⋮ The stability of vertical motion in the \(N\)-body circular Sitnikov problem ⋮ Periodic orbits and bifurcations in the Sitnikov four-body problem ⋮ A new method to construct integrable approximations to nearly integrable systems in Celestial mechanics: application to the Sitnikov problem ⋮ On the Stability of Symmetric Periodic Orbits of the Elliptic Sitnikov Problem ⋮ Matched asymptotic expansions to the circular Sitnikov problem with long period ⋮ Transient chaos in the Sitnikov problem ⋮ The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem ⋮ Stability of motion in the Sitnikov 3-body problem ⋮ A new analytic approach to the Sitnikov problem ⋮ A computer aided analysis of the Sitnikov problem ⋮ The structure of the extended phase space of the Sitnikov problem ⋮ The Sitnikov problem investigation with the method of multiple scales ⋮ An analytical approach to small amplitude solutions of the extended nearly circular Sitnikov problem ⋮ On the families of periodic orbits which bifurcate from the circular Sitnikov motions ⋮ A high order perturbation analysis of the Sitnikov problem
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