Families of relative periodic orbits in the planar three-body problem via consecutive alignments

arXiv:2609.01585 · math.DS, astro-ph.EP, cs.NA, math-ph, math.MP, math.NA, physics.class-ph · Submitted 2026-09-01 · Read on arXiv

math.DS, astro-ph.EP, cs.NA, math-ph, math.MP, math.NA, physics.class-ph

Submitted: 2026-09-01

Updated: 2026-09-01

Terminology

• Alignment — 40× in this paper · explained in 1 episode
• Three-Body Problem — 39× in this paper
• Relative Periodic Orbits — 11× in this paper
• Regularization — 3× in this paper · explained in 3 episodes
• Absolute Periodic Orbits — 2× in this paper
• Abundance — 1× in this paper · explained in 1 episode
• Circular Restricted Three-Body Problem — 1× in this paper
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Objective Function — 1× in this paper · explained in 2 episodes
• Singular Value Decomposition — 1× in this paper
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes

Sources

• Trojan Exoplanets

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