Polypolar lemniscate coordinate system

Rakcheeva T.A.
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The polypolar coordinate system, as well as classical polar, characterizes a point on a plane by polar radius ρ and polar angle φ, but utilizes multiple poles instead of one pole. Such referencing can be provided by a class of multifocal lemniscates. The family of isometric curves ρ=const — lemniscates — and family of gradient curves φ=const are mutually orthogonal conjugate families.

Keywords: polypolar coordinate system
Citation in English: Rakcheeva T.A. Polypolar lemniscate coordinate system // Computer Research and Modeling, 2009, vol. 1, no. 3, pp. 251-261
Citation in English: Rakcheeva T.A. Polypolar lemniscate coordinate system // Computer Research and Modeling, 2009, vol. 1, no. 3, pp. 251-261
DOI: 10.20537/2076-7633-2009-1-3-251-261
URL: http://crm-en.ics.org.ru/journal/article/1586/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
According to Crossref, this article is cited by:
  • Tatyana Anatol’evna Rakcheeva. Criteria and convergence of the focal approxmation. // Computer Research and Modeling. — 2013. — V. 5, no. 3. — P. 379. DOI: 10.20537/2076-7633-2013-5-3-379-394
  • Tatyana Anatol’evna Rakcheeva. Polypolar coordination and symmetries. // Computer Research and Modeling. — 2010. — V. 2, no. 4. — P. 329. DOI: 10.20537/2076-7633-2010-2-4-329-341
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