Polygonal homographic orbits in spaces of constant curvature
Abstract
We prove that the geometry of the 2-dimensional n-body problem for spaces of constant curvature ≠ 0, n≥ 3, does not allow for polygonal homographic solutions, provided that the corresponding orbits are irregular polygons of non-constant size.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.