Development of the Hamiltonian function using the Jacobi system of reference (Q1575052)
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scientific article; zbMATH DE number 1490950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Development of the Hamiltonian function using the Jacobi system of reference |
scientific article; zbMATH DE number 1490950 |
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Development of the Hamiltonian function using the Jacobi system of reference (English)
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22 November 2000
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The second term of the Hamiltonian function for \(n\) planets (written in Jacobi coordinate system) is expanded by two different methods, in terms of mean and eccentric anomalies. Thus the need to compute the perturbation function for each planet is bypassed. The treatment is straightforward, as the inclinations and longitudes of the planets are referred to a common plane and to a common origin, respectively.
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planetary perturbation
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series expansion
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mean anomaly
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eccentric anomaly
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Hamiltonian function
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Jacobi coordinate system
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perturbation function
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