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Normalization of the Hamiltonian Near L 4 for Small Values of μ

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Abstract

Periodic orbits in the circular restricted problem of three bodies near L 4 have been studied extensively. We revisit the problem with the help of the versal normal of Arnold in order to give an analysis which remains valid when μ → 0.

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Authors and Affiliations

  1. University of Cincinnati, Cincinnati, OH, 45221, USA

    Dieter Schmidt

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  1. Dieter Schmidt
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Correspondence to Dieter Schmidt.

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In honor of Kenneth Meyer on his 75th birthday from his first student.

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Schmidt, D. Normalization of the Hamiltonian Near L 4 for Small Values of μ . Qual. Theory Dyn. Syst. 12, 217–224 (2013). https://doi.org/10.1007/s12346-012-0079-8

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  • DOI: https://doi.org/10.1007/s12346-012-0079-8

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