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Diffstat (limited to 'doc/documentation.tex')
| -rw-r--r-- | doc/documentation.tex | 23 |
1 files changed, 12 insertions, 11 deletions
diff --git a/doc/documentation.tex b/doc/documentation.tex index 4695ce8..360234c 100644 --- a/doc/documentation.tex +++ b/doc/documentation.tex @@ -829,23 +829,24 @@ controlled by the following parameters: \item the Cactus time coordinate \verb|cctk_time| \item the Cactus $(x,y,z)$ coordinates of the apparent horizon centroid - \item the minimum, maximum, and mean radia + \item the minimum, maximum, and mean coordinate radia of the apparent horizon about the local coordinate origin \item the minimum and maximum Cactus $x$, $y$, and $z$ coordinates of the apparent horizon surface - \item the $xy$, $xz$, and $yz$-plane circumferences - of the apparent horizon%%% + \item the proper circumferences of the apparent horizon + in the $xy$, $xz$, and $yz$ local-coordinate planes%%% \footnote{%%% - Alas, these are computed using the - $xy$, $xz$, and $yz$-planes passing through - the local coordinate origin, so they may be - considerably different (smaller) than the - actual circumferences if the apparent horizon - is displaced significantly from the local - coordinate origin. + Note that if the apparent horizon is not + symmetric across one of these coordinate planes, + then the circumference in this plane is not + very meaningful. In particular, in this case + this circumference is probably different from + the apparent horizon's maximum ``hoop'' circumference. }%%% - \item the area of the apparent horizon, $A$ + \item the $xz/xy$ and $yz/xy$ ratios of the proper + circumferences + \item the proper area of the apparent horizon, $A$ \item the irreducible mass of the apparent horizon, $\sqrt{A/16\pi}$ \end{itemize} |