arXiv Open Access 2014

Existence of symmetric central configurations

James Montaldi

Lihat Sumber

Abstrak

Central configurations have been of great interest over many years, with the earliest examples due to Euler and Lagrange. There are numerous results in the literature demonstrating the existence of central configurations with specific symmetry properties, using slightly different techniques in each. The aim here is to describe a uniform approach by adapting to the symmetric case the well-known variational argument showing the existence of central configurations. The principal conclusion is that there is a central configuration for every possible symmetry type, and for any symmetric choice of masses. Finally the same argument is applied to the class of balanced configurations introduced by Albouy and Chenciner.

Topik & Kata Kunci

math.DS math-ph

Penulis (1)

James Montaldi

Format Sitasi

APA MLA BibTeX

Montaldi, J. (2014). Existence of symmetric central configurations. https://arxiv.org/abs/1408.5854

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓