2006/12/31 by Robert Beig, J. Mark Heinzle, Jakob Heinzle +2
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Equilateral triangle #Geometry #Geophysics and Gravity Measurements #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #RADIUS #Scalar (mathematics) #gr-qc
paper · pdf · doi:10.1103/physrevlett.98.121102
published as Phys.Rev.Lett.98:121102,2007 · 5 pages, 1 figure; minor corrections and changes; accepted for publication in Physical Review Letters
arxiv created 2007/03/13 · openalex publication_date 2007/03/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Within a scalar model theory of gravity, where the interaction between particles is given by the half-retarded plus half-advanced solution of the scalar wave equation, we consider an N-body problem: We investigate configurations of N particles which form an equilateral N angle and are in helical motion about their common center. We prove that there exists a unique equilibrium configuration and compute the equilibrium radius explicitly in a post-Newtonian expansion.