Some symbolic computation algorithms in cosmic dynamics problems |
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Authors: | A N Prokopenya |
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Affiliation: | (1) Brest State Technical University, ul. Moskovskaya 267, Brest, 224017, Belarus |
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Abstract: | An algorithm for computing fundamental solutions to a linear system of differential equations with a periodic matrix represented by a power series in terms of a small parameter is discussed. An algorithm based on the infinite determinant method for determining boundaries between regions of stability and instability for such a system in the parameter space is also discussed. The corresponding procedures implemented in the Mathematica system and computation results related to the elliptic restricted five-body problem are presented. |
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