Classifying four-body convex central configurations

We classify the full set of convex central configurations in the Newtonian planar four-body problem. Particular attention is given to configurations possessing some type of symmetry or defining geometric property. Special cases considered include kite, trapezoidal, co-circular, equidiagonal, orthodi...

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Bibliographic Details
Published in:	Celestial mechanics and dynamical astronomy Vol. 131; no. 7; pp. 1 - 27
Main Authors:	Corbera, Montserrat, Cors, Josep M., Roberts, Gareth E.
Format:	Journal Article Publication
Language:	English
Published:	Dordrecht Springer Netherlands 01.07.2019 Springer Nature B.V
Subjects:	37 Dynamical systems and ergodic theory 37N Applications 50 years of Celestial Mechanics and Dynamical Astronomy 70 Mechanics of particles and systems 70F Dynamics of a system of particles, including celestial mechanics Aerospace Technology and Astronautics Astrophysics and Astroparticles Central configuration Classical Mechanics Classificació AMS Classification Configurations Convex central configurations Dynamical Systems and Ergodic Theory Enginyeria mecànica Four body problem Geophysics/Geodesy Many-body problem Matemàtiques i estadística n-Body problem Original Article Physics Physics and Astronomy Problema dels cossos múltiples Àrees temàtiques de la UPC Body problem Convex central configurations Central configuration
ISSN:	0923-2958, 1572-9478
Online Access:	Get full text
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