Poisson theory and integration method for a dynamical system of relative motion＊-中国期刊网

摘要 ThispaperfocusesonstudyingthePoissontheoryandtheintegrationmethodofdynamicsofrelativemotion.Equationsofadynamicalsystemofrelativemotioninphasespacearegiven.Poissontheoryofthesystemisestablished.TheJacobilastmultiplierofthesystemisdefined,andtherelationbetweentheJacobilastmultiplierandthefirstintegralsofthesystemisstudied.Ourresearchshowsthatforadynamicalsystemofrelativemotion,whoseconfigurationisdeterminedbyngeneralizedcoordinates,thesolutionofthesystemcanbefoundbyusingtheJacobilastmultiplierif(2n1)firstintegralsofthesystemareknown.Attheendofthepaper,anexampleisgiventoillustratetheapplicationoftheresults.

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Poisson theory and integration method for a dynamical system of relative motion＊

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Poisson theory and integration method for a dynamical system of relative motion＊

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