{
  "id": "0909.4989",
  "version": "v1",
  "published": "2009-09-28T01:25:11.000Z",
  "updated": "2009-09-28T01:25:11.000Z",
  "title": "Central Configurations and Total Collisions for Quasihomogeneous n-Body Problems",
  "authors": [
    "Florin Diacu",
    "Ernesto Perez-Chavela",
    "Manuele Santoprete"
  ],
  "journal": "Nonlinear Analysis Volume 65, Issue 7, 2006, 1425-1439",
  "doi": "10.1016/j.na.2005.10.023",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider $n$-body problems given by potentials of the form ${\\alpha\\over r^a}+{\\beta\\over r^b}$ with $a,b,\\alpha,\\beta$ constants, $0\\le a<b$. To analyze the dynamics of the problem, we first prove some properties related to central configurations, including a generalization of Moulton's theorem. Then we obtain several qualitative properties for collision and near-collision orbits in the Manev-type case $a=1$. At the end we point out some new relationships between central configurations, relative equilibria, and homothetic solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-28T01:25:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70F10",
      "70H05"
    ],
    "keywords": [
      "central configurations",
      "quasihomogeneous n-body problems",
      "total collisions",
      "homothetic solutions",
      "moultons theorem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.4989D"
    }
  }
}