/SURF/ELLIPS

Block Format Keyword Describes the hyper-ellipsoid surface definition.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/SURF/ELLIPS/surf_ID/unit_ID
surf_title
skew_ID n
Xc Yc Zc
a b c

Definition

Field Contents SI Unit Example
surf_ID Surface identifier.

(Integer, maximum 10 digits)
unit_ID Unit identifier.

(Integer, maximum 10 digits)
surf_title Surface title.

(Character, maximum 100 characters)
skew_ID Skew identifier defining the initial orientation of the surface.

(Integer)
n Degree of the hyper-ellipsoid. Must be greater than or equal to 2.

Default = 2 (Integer)
Xc Center coordinate.

(Real)
Yc Center coordinate.

(Real)
Zc Center coordinate.

(Real)
a Semi-axis length.

(Real)
b Semi-axis length.

(Real)
c Semi-axis length.

(Real)

Comments

  1. The equation of the hyper-ellopsoid is:

    | x− x c a | n + | y− y c b | n + | z− z c c | n =1 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaqWaaeaada WcaaqaaiaadIhacqGHsislcaWG4bWaaSbaaSqaaiaadogaaeqaaaGc baGaamyyaaaaaiaawEa7caGLiWoadaahaaWcbeqaaiaad6gaaaGccq GHRaWkdaabdaqaamaalaaabaGaamyEaiabgkHiTiaadMhadaWgaaWc baGaam4yaaqabaaakeaacaWGIbaaaaGaay5bSlaawIa7amaaCaaale qabaGaamOBaaaakiabgUcaRmaaemaabaWaaSaaaeaacaWG6bGaeyOe I0IaamOEamaaBaaaleaacaWGJbaabeaaaOqaaiaadogaaaaacaGLhW UaayjcSdWaaWbaaSqabeaacaWGUbaaaOGaeyypa0JaaGymaaaa@553A@

  2. The Sphere is the case.

    Where, n=2 and a=b=c=r.