June 1, 1997 Journal article Open Access

Luigi Chierchia; Alessandra Celletti

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  <identifier identifierType="URL">https://www.openaccessrepository.it/record/134961</identifier>
  <creators>
    <creator>
      <creatorName>Luigi Chierchia</creatorName>
    </creator>
    <creator>
      <creatorName>Alessandra Celletti</creatorName>
    </creator>
  </creators>
  <titles>
    <title>On the Stability of Realistic Three-Body Problems</title>
  </titles>
  <publisher>INFN Open Access Repository</publisher>
  <publicationYear>1997</publicationYear>
  <subjects>
    <subject>Mathematical Physics</subject>
    <subject>Statistical and Nonlinear Physics</subject>
  </subjects>
  <dates>
    <date dateType="Issued">1997-06-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://www.openaccessrepository.it/record/134961</alternateIdentifier>
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  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s002200050115</relatedIdentifier>
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  <rightsList>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">We consider the system Sun—Jupiter—Ceres 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".</description>
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