Reports data about position covariance matrix including orientation of its principal axes relative to the TopoCentric axes and dimensions of the associated sigma scaled equal probability density ellipsoid. Any set of axes defined in the Vector Geometry Tool is available for use, including user defined sets. The data requires position covariance to be defined for the object.
Name |
Dimension |
Type |
Description |
Time |
DateFormat |
Real Number |
Time. |
Sigma x |
DistanceUnit |
Real Number |
Square root of the first diagonal component of the scaled covariance matrix. |
Sigma y |
DistanceUnit |
Real Number |
Square root of the second diagonal component of the scaled covariance matrix. |
Sigma z |
DistanceUnit |
Real Number |
Square root of the third diagonal component of the scaled covariance matrix. |
Correlation xy |
Unitless |
Real Number |
XY correlation coefficient of the scaled covariance matrix. |
Correlation xz |
Unitless |
Real Number |
XZ correlation coefficient of the scaled covariance matrix. |
Correlation yz |
Unitless |
Real Number |
YZ correlation coefficient of the scaled covariance matrix. |
CovMtx xx |
Area |
Real Number |
XX Component of the Position Covariance Matrix |
CovMtx yx |
Area |
Real Number |
YX Component of the Position Covariance Matrix |
CovMtx yy |
Area |
Real Number |
YY Component of the Position Covariance Matrix |
CovMtx zx |
Area |
Real Number |
ZX Component of the Position Covariance Matrix |
CovMtx zy |
Area |
Real Number |
ZY Component of the Position Covariance Matrix |
CovMtx zz |
Area |
Real Number |
ZZ Component of the Position Covariance Matrix |
1/(Inverted Sigma x) |
DistanceUnit |
Real Number |
Square root of the inverse of the first diagonal element of the inverse of the scaled covariance matrix. |
1/(Inverted Sigma y) |
DistanceUnit |
Real Number |
Square root of the inverse of the second diagonal element of the inverse of the scaled covariance matrix. |
1/(Inverted Sigma z) |
DistanceUnit |
Real Number |
Square root of the inverse of the third diagonal element of the inverse of the scaled covariance matrix. |
YPR321 yaw |
AngleUnit |
Real Number |
Yaw angle between the two sets of axes.
Defines rotation about the z-axis of the reference set,
which occurs first when using 321 (or YPR) sequence in YPR angles representation. |
YPR321 pitch |
AngleUnit |
Real Number |
Pitch angle between the two sets of axes.
Defines rotation about the y-axis of the reference set,
which occurs second when using 321 (or YPR) sequence in YPR angles representation. |
YPR321 roll |
AngleUnit |
Real Number |
Roll angle between the two sets of axes.
Defines rotation about the x-axis of the reference set,
which occurs third when using 321 (or YPR) sequence in YPR angles representation. |
Euler323 precession |
AngleUnit |
Real Number |
Precession angle between the two sets of axes.
Defines rotation about the z-axis of the reference set,
which occurs first when using 323 sequence in Euler angles representation. |
Euler323 nutation |
AngleUnit |
Real Number |
Nutation angle between the two sets of axes.
Defines rotation about the y-axis of the set rotated through precession,
which occurs second when using 323 sequence in Euler angles representation. |
Euler323 spin |
AngleUnit |
Real Number |
Spin angle between the two sets of axes.
Defines rotation about the z-axis of the set rotated through precession and nutation,
which occurs third when using 323 sequence in Euler angles representation. |
q1 |
Unitless |
Real Number |
First element of quaternion (and of its vector part) representing orientation between the two sets of axes. |
q2 |
Unitless |
Real Number |
Second element of quaternion (and of its vector part) representing orientation between the two sets of axes. |
q3 |
Unitless |
Real Number |
Third element of quaternion (and of its vector part) representing orientation between the two sets of axes. |
q4 |
Unitless |
Real Number |
Fourth element of quaternion (its scalar part) representing orientation between the two sets of axes. |
Major Sigma |
DistanceUnit |
Real Number |
Square root of the maximum eigenvalue of the projected covariance matrix. |
Intermediate Sigma |
DistanceUnit |
Real Number |
Square root of the intermediate eigenvalue of the scaled covariance matrix. |
Minor Sigma |
DistanceUnit |
Real Number |
Square root of the minimum eigenvalue of the projected covariance matrix. |
Major Sigma Dir x |
Unitless |
Real Number |
First component of the unit vector along the major axis of the scaled ellipsoid. |
Major Sigma Dir y |
Unitless |
Real Number |
Second component of the unit vector along the major axis of the scaled ellipsoid. |
Major Sigma Dir z |
Unitless |
Real Number |
Third component of the unit vector along the major axis of the scaled ellipsoid. |
Minor Sigma Dir x |
Unitless |
Real Number |
First component of the unit vector along the minor axis of the scaled ellipsoid. |
Minor Sigma Dir y |
Unitless |
Real Number |
Second component of the unit vector along the minor axis of the scaled ellipsoid. |
Minor Sigma Dir z |
Unitless |
Real Number |
Third component of the unit vector along the minor axis of the scaled ellipsoid. |
Volume |
Volume |
Real Number |
Volume of the scaled equal probability density ellipsoid defined by the scaled covariance matrix. |
SEP |
DistanceUnit |
Real Number |
Spherical error probable - statistically equivalent spherical representation for the equal probability
density ellipsoid defined by the covariance matrix. |
Approx SEP |
DistanceUnit |
Real Number |
Fast approximation of "spherical error probable". |