Conserved vectors for the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\) (Q1094164)
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scientific article; zbMATH DE number 4024852
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conserved vectors for the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\) |
scientific article; zbMATH DE number 4024852 |
Statements
Conserved vectors for the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\) (English)
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1987
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The conditions under which the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\) admits conserved vectors are determined, the orbit equation derived and some illustrative examples given.
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existence of autonomous first integrals
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two-dimensional autonomous Hamiltonian systems
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orbit equation
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