Analytic central orbits and their transformation group
نویسندگان
چکیده
منابع مشابه
Analytic Central Orbits and their Transformation Group
A useful crude approximation for Abelian functions is developed and applied to orbits. The bound orbits in the power-law potentials Ar take the simple form (l/r) = 1 + e cos(mφ), where k = 2 − α > 0 and l and e are generalisations of the semilatus-rectum and the eccentricity. m is given as a function of ‘eccentricity’. For nearly circular orbits m is √ k, while the above orbit becomes exact at ...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2008
ISSN: 0035-8711,1365-2966
DOI: 10.1111/j.1365-2966.2008.13018.x