Unit vectors for similar oblate spheroidal coordinates and vector transformation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00574845" target="_blank" >RIV/61389005:_____/23:00574845 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/a00033-023-02058-x" target="_blank" >https://doi.org/10.1007/a00033-023-02058-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00033-023-02058-x" target="_blank" >10.1007/s00033-023-02058-x</a>

Result language

angličtina

Original language name

Unit vectors for similar oblate spheroidal coordinates and vector transformation

Original language description

The unit vectors transformation between the Cartesian and the novel similar oblate spheroidal coordinates, and vice versa, is derived. It facilitates transformation of vector fields between these two types of orthogonal coordinates and can advantageously simplify solutions of problems exhibiting oblate spheroidal geometry. Several examples demonstrate the use of the derived relations. Generalized sine and cosine applicable in the similar oblate spheroidal coordinate system are introduced as well.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Zeitschrift für angewandte Mathematik und Physik

ISSN

0044-2275

e-ISSN

1420-9039

Volume of the periodical

74

Issue of the periodical within the volume

5

Country of publishing house

CH - SWITZERLAND

Number of pages

32

Pages from-to

172

UT code for WoS article

001040982900003

EID of the result in the Scopus database

2-s2.0-85167452844