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Fractional Cassini Coordinates

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 نشر من قبل Richard Herrmann
 تاريخ النشر 2018
  مجال البحث فيزياء
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 تأليف Richard Herrmann




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Introducing a set ${alpha_i} in R$ of fractional exponential powers of focal distances an extension of symmetric Cassini-coordinates on the plane to the asymmetric case is proposed which leads to a new set of fractional generalized Cassini-coordinate systems. Orthogonality and classical limiting cases are derived. An extension to cylindrically symmetric systems in $R^3$ is investigated. The resulting asymmetric coordinate systems are well suited to solve corresponding two- and three center problems in physics.

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