NDLI: Continua of central configurations with a negative mass in the $$n$$ -body problem

Content Provider	Springer Nature Link
Author	Little, John Pelayo, Roberto McGhee, Jasmine Sasarita, Spencer Hachmeister, Julian
Copyright Year	2013
Abstract	The number of equivalence classes of central configurations of $$n \le 4$$ bodies of positive mass is known to be finite, but it remains to be shown if this is true for $$n \ge 5$$ . By allowing one mass to be negative, Gareth Roberts constructed a continuum of inequivalent planar central configurations of $$n = 5$$ bodies. We reinterpret Roberts’ example and generalize the construction of his continuum to produce a family of continua of central configurations, each with a single negative mass. These new continua exist in even dimensional spaces $$\mathbb R ^k$$ for $$k \ge 4$$ .
Ending Page	438
Page Count	12
Starting Page	427
File Format	PDF
ISSN	09232958
e-ISSN	15729478
Journal	Celestial Mechanics and Dynamical Astronomy
Issue Number	4
Volume Number	115
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-01-29
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Astrophysics and Astroparticles n-Body problem Regular polyhedra $n$ -body problems Geophysics/Geodesy Symmetry groups Aerospace Technology and Astronautics Celestial mechanics Regular polytope configurations Central configurations Mechanics Dynamical Systems and Ergodic Theory Neutral configurations
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Astronomy and Astrophysics Modeling and Simulation Computational Mathematics Space and Planetary Science

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