✦ LIBER ✦
Expressions for surfaces in disk-cyclide coordinates : derivations using symbolic computation
✍ Scribed by Philip W. Kuchel; Brian T. Bulliman
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 226 KB
- Volume
- 325
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
Disk-cyclide coordinate systems are orthogonal and curvilinear, and are based on a conformal transformation using the Jacobian elliptic function cn. The expressions for the coordinate surfaces of this system have been presented previously (P. Moon and D. E. Spencer, "Field Theory Handbook", Springer, Berlin, 1961, 1971). However, they are found to be incorrect. Rederivation of the expressions involved a relatively tedious variableelimination process which we therefore carried out using symbolic algebraic computation with the MACSYMA package.