Hamiltonian normalization in the restricted many-body problem by computer algebra methods

DOI10.1134/S0361768812030048zbMath1329.70036OpenAlexW2001720058WikidataQ114847388 ScholiaQ114847388MaRDI QIDQ1758713

Alexander N. Prokopenya

Publication date: 16 November 2012

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768812030048

Mathematics Subject Classification ID

(n)-body problems (70F10) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04)

Related Items (11)

Symbolic computation of a homological equation of an arbitrary order and reduction of Hamiltonian system to its normal form ⋮ Derivation of evolutionary equations in the many-body problem with isotropically varying masses using computer algebra ⋮ Birkhoff normalization, bifurcations of Hamiltonian systems and the deprits formula ⋮ Investigation of the restricted problem of three bodies of variable masses using computer algebra ⋮ Computation of the resonance set of a polynomial under constraints on its coefficients ⋮ Applications of computer algebra in the study of the two-planet problem of three bodies with variable masses ⋮ Construction of a periodic solution to the equations of motion of generalized Atwood's machine using computer algebra ⋮ Searching for equilibrium states of Atwood's machine with two oscillating bodies by means of computer algebra ⋮ NUMERICAL-SYMBOLIC METHODS FOR SEARCHING RELATIVE EQUILIBRIA IN THE RESTRICTED PROBLEM OF FOUR BODIES ⋮ Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem ⋮ Computing perturbations in the two-planetary three-body problem with masses varying non-isotropically at different rates

Uses Software

• Mathematica

Cites Work

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• Studying the stability of equilibrium solutions in a planar circular restricted four-body problem
• The restricted three body problem revisited
• Algorithms for normalization of Hamiltonian systems by means of computer algebra
• On the Stability of Equilibrium Positions in the Circular Restricted Four-Body Problem
• The restricted problem of n+? bodies

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