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Analytical solution of the Lagrange quintic equation in the three-body problem in celestial mechanics

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Publication:1060874
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DOI10.1007/BF01175807zbMath0569.70011MaRDI QIDQ1060874

B. George

Publication date: 1985

Published in: Acta Mechanica (Search for Journal in Brave)


zbMATH Keywords

numerical resultsclosed-form solutionstationary solutionLagrange equationpositive roothigher-degree polynomial equationsquintic (fifth-degree) equationreal integral formula


Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08)




Cites Work

  • A new simple method for the analytical solution of Kepler's equation
  • An exact analytical solution of Kepler's equation
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