Global Time-Renormalization of the Gravitational $N$-body Problem

DOI10.1137/20M1314719zbMath1476.70033arXiv2001.01221MaRDI QIDQ5859780

Joseba Makazaga, Philippe Chartier, Mikel Antoñana, Ander Murua

Publication date: 20 April 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01221

zbMATH Keywords

blow-up transformationglobal power series representationgravitational \(N\)-body problemstime-renormalization

Mathematics Subject Classification ID

(n)-body problems (70F10) Collisions in celestial mechanics, regularization (70F16)

Related Items (3)

Majorant series for theN-body problem ⋮ An implicit symplectic solver for high-precision long-term integrations of the solar system ⋮ Geometric numerical integration. Abstracts from the workshop held March 28 -- April 3, 2021 (hybrid meeting)

Uses Software

• DifferentialEquations.jl
• NeuralPDE.jl

Cites Work

• Unnamed Item
• On the global solution of the \(N\)-body problem
• The global solution of the n-body problem
• Numerically optimal Runge-Kutta pairs with interpolants
• Explicit symplectic algorithms for time-transformed Hamiltonians
• Existence of the continuations in theN-body problem
• Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance
• Geometric Numerical Integration
• Scaling invariance and adaptivity

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