Spatial Potential of a Weakly Compressed Elliptical Diskстатья
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Дата последнего поиска статьи во внешних источниках: 26 сентября 2016 г.
Аннотация:Abstract
—The problem of expanding spatial potential in terms of eccentricity
e accurate to e 2 has been formulated and solved for a homogeneous gravitating (or charged with static electric charge) elliptical disk. An original method that makes it possible to obtain the desired result using the superposition of a perturbation layer
and a circular disk has been developed. The potential of such a layer has been derived. The first term of the expansion of the potential (zero power of parameter
e) coincides with the potential of a homogeneous circular
disk and the coefficient of the first power of the parameter
e is zero. The main term of the expansion of the potential proportional to
e 2 is analytically derived. The resulting expression makes it possible to determine the
potential in the entire space, including the inner region of the disk.