Journal article Open Access

On the Stability of Realistic Three-Body Problems

Luigi Chierchia; Alessandra Celletti


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{
  "DOI": "10.1007/s002200050115", 
  "abstract": "We consider the system Sun\u2014Jupiter\u2014Ceres as an example of a planar, circular, restricted three-body problem and, after substituting the mass ratio of Jupiter/Sun (which is approximately 10-3) with a parameter \\(\\), we prove the existence of stable quasi-periodic motions with frequencies close to the observed (average) frequencies reported in \"The Astronomical Almanac\" for \\(\\). The proof is \"computer-assisted\".", 
  "author": [
    {
      "family": "Luigi Chierchia"
    }, 
    {
      "family": "Alessandra Celletti"
    }
  ], 
  "id": "134961", 
  "issued": {
    "date-parts": [
      [
        1997, 
        6, 
        1
      ]
    ]
  }, 
  "language": "und", 
  "note": "", 
  "title": "On the Stability of Realistic Three-Body Problems", 
  "type": "article-journal"
}
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