On ODE-solver based on the method of averaging (Q1110278)
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scientific article; zbMATH DE number 4072284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On ODE-solver based on the method of averaging |
scientific article; zbMATH DE number 4072284 |
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On ODE-solver based on the method of averaging (English)
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1988
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An efficient method for the long-term integration of the system \(\dot x=f_ 0(x)+\epsilon f_ 1(x)\) is given where \(\epsilon\) is a small parameter and the unperturbed system (1) \(\dot x=f_ 0(x)\) has periodic solutions only. The solution of (1) is not to be known. Applications to the main problem of artificial satellite theory are given.
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method of averaging
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dynamical systems
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long-term integration
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small parameter
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periodic solutions
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