Central configurations in the spatial n-body problem for $$n=5,6$$ with equal masses
Sign Up to like & getrecommendations! Published in 2020 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-020-09993-1
Abstract: We present a computer assisted proof of the full listing of central configurations for spatial n-body problem for $$n=5$$ and 6, with equal masses. For each central configuration, we give a full list of its… read more here.
Keywords: body problem; problem equal; configurations spatial; spatial body ... See more keywords
On Strictly Convex Central Configurations of the 2n-Body Problem
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DOI: 10.1007/s10884-018-9708-5
Abstract: We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for $$n\ge 5$$n≥5 all convex central configurations of two twisted regular… read more here.
Keywords: central configurations; body problem; convex central; strictly convex ... See more keywords
Generic Finiteness for a Class of Symmetric Planar Central Configurations of the Six-Body Problem and the Six-Vortex Problem
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DOI: 10.1007/s10884-019-09765-y
Abstract: A symmetric planar central configuration of the Newtonian six-body problem x is called cross central configuration if there are precisely four bodies on a symmetry line of x. We use complex algebraic geometry and Groebner… read more here.
Keywords: body problem; problem; planar central; six body ... See more keywords
Spiderweb Central Configurations
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DOI: 10.1007/s12346-019-00330-y
Abstract: In this paper we study spiderweb central configurations for the $N$-body problem, i.e configurations given by $N=n \times \ell+1$ masses located at the intersection points of $\ell$ concurrent equidistributed half-lines with $n$ circles and a… read more here.
Keywords: geq; ell; spiderweb central; central configurations ... See more keywords
Continuation and bifurcations of concave central configurations in the four and five body-problems for homogeneous force laws
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DOI: 10.1016/j.jmaa.2016.09.055
Abstract: Abstract The central configurations given by an equilateral triangle and a regular tetrahedron with equal masses at the vertices and a body at the barycenter have been widely studied in [9] and [14] due to… read more here.
Keywords: central configurations; bifurcations concave; homogeneous force; force laws ... See more keywords
Central Configurations and Action Minimizing Orbits in Kite Four-Body Problem
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DOI: 10.1155/2020/5263750
Abstract: In the current article, we study the kite four-body problems with the goal of identifying global regions in the mass parameter space which admits a corresponding central configuration of the four masses. We consider two… read more here.
Keywords: central configurations; four body; body problem; action ... See more keywords