Only homothetic motion is possible for four masses fixed at the vertices of a regular tetrahedron; no rotating, shape-preserving solution exists, but the proof offered here is incomplete.
D., A symmetric reduction of the planar thr ee-body problem, American Journal of Mathematics, 58.4, 829-832 (1936)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
physics.class-ph 1years
2019 1verdicts
REJECT 1representative citing papers
citing papers explorer
-
On the existence of regular tetrahedral non-homothetic homographic solution
Only homothetic motion is possible for four masses fixed at the vertices of a regular tetrahedron; no rotating, shape-preserving solution exists, but the proof offered here is incomplete.