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Diffstat (limited to 'archive/ellipsoid.out')
| -rw-r--r-- | archive/ellipsoid.out | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/archive/ellipsoid.out b/archive/ellipsoid.out new file mode 100644 index 0000000..4773c57 --- /dev/null +++ b/archive/ellipsoid.out @@ -0,0 +1,38 @@ + |\^/| Maple 7 (IBM INTEL LINUX) +._|\| |/|_. Copyright (c) 2001 by Waterloo Maple Inc. + \ MAPLE / All rights reserved. Maple is a registered trademark of + <____ ____> Waterloo Maple Inc. + | Type ? for help. +# ellipsoid.maple -- compute equations for offset ellipsoid setup +# $Header: /usr/local/svn/cvs-repositories/numrelcvs/AEIThorns/AHFinderDirect/archive/ellipsoid.out,v 1.1 2002-07-18 17:37:11 jthorn Exp $ +> +# +# ellipsoid has center (A,B,C), radius (a,b,c) +# angular coordinate system has center (U,V,W) +# +# direction cosines wrt angular coordinate center are (alpha,beta,gamma) +# but Maple predefines gamma = Euler's constant, so we use (xcos,ycos,zcos) +# instead, i.e. a point has coordinates (U+xcos*r, V+ycos*r, W+zcos*r) +# +# then the equation of the ellipsoid is +# (U+xcos*r - A)^2 (V+ycos*r - B)^2 (W+zcos*r - C)^2 +# ----------------- + ---------------- + ----------------- = 1 +# a^2 b^2 c^2 +# +# to solve this, we introduce intermediate variables +# AU = A - U +# BV = B - V +# CW = C - W +# +> eqn := (xcos*r - AU)^2/a^2 + (ycos*r - BV)^2/b^2 + (zcos*r - CW)^2/c^2 = 1; + 2 2 2 + (xcos r - AU) (ycos r - BV) (zcos r - CW) + eqn := -------------- + -------------- + -------------- = 1 + 2 2 2 + a b c + +> +> read "../maple/util.mm"; +Error, unable to read `../maple/util.mm` +> quit +bytes used=129844, alloc=196572, time=0.03 |