On the geometry and behavior of \(n\)-body motions

DOI10.1155/S016117120100669XzbMath1014.70013OpenAlexW1997192990WikidataQ125575983 ScholiaQ125575983MaRDI QIDQ1607796

Eldar J. Straume

Publication date: 13 August 2002

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50105

zbMATH Keywords

geodesic equations\(n\)-body motions\(O(3)\)-equivariant geometryasymptotic behavior of collisionsgeometrization procedurekinematic Riemannian metricshape moduli spacesthree-dimensional congruence space

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) (n)-body problems (70F10) Collisions in celestial mechanics, regularization (70F16)

Related Items (4)

Existence and differential geometric properties of continuous families of periodic three-body motions with non-uniform mass distributions ⋮ On the minimizing properties of the 8-shaped solution of the 3-body problem ⋮ Unnamed Item ⋮ Global geometry of 3-body motions with vanishing angular momentum. I

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