Position Covariance Choose Axes
Reports data about the position covariance matrix, including orientation of its principal axes relative to the chosen set of 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.Available for these objects: Aircraft, GroundVehicle, LaunchVehicle, Missile, Satellite, Ship
Type: Time-varying data.
Availability: Reports | Graphs | Dynamic Displays | Strip Charts
Pre-data required: "<Scale> <SEPProb> <AxesPath> <AxesName>" where <AxesPath> is the truncated path of the axes parent
Data Provider Elements
| Name | Dimension | Type | Description |
|---|---|---|---|
| Time | Date | Real Number or Text | Time. |
| Sigma x | Distance | Real Number | Square root of the first diagonal component of the scaled covariance matrix. |
| Sigma y | Distance | Real Number | Square root of the second diagonal component of the scaled covariance matrix. |
| Sigma z | Distance | 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) | Distance | Real Number | Square root of the inverse of the first diagonal element of the inverse of the scaled covariance matrix. |
| 1/(Inverted Sigma y) | Distance | Real Number | Square root of the inverse of the second diagonal element of the inverse of the scaled covariance matrix. |
| 1/(Inverted Sigma z) | Distance | Real Number | Square root of the inverse of the third diagonal element of the inverse of the scaled covariance matrix. |
| YPR321 yaw | Angle | Real Number or Text | 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 | Angle | Real Number or Text | 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 | Angle | Real Number or Text | 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 | Angle | Real Number or Text | 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 | Angle | Real Number or Text | 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 | Angle | Real Number or Text | 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 the orientation between the two sets of axes. |
| q2 | Unitless | Real Number | Second element of quaternion (and of its vector part) representing the orientation between the two sets of axes. |
| q3 | Unitless | Real Number | Third element of quaternion (and of its vector part) representing the orientation between the two sets of axes. |
| q4 | Unitless | Real Number | Fourth element of quaternion (its scalar part) representing the orientation between the two sets of axes. |
| Major Sigma | Distance | Real Number | Square root of the maximum eigenvalue of the projected covariance matrix. |
| Intermediate Sigma | Distance | Real Number | Square root of the intermediate eigenvalue of the scaled covariance matrix. |
| Minor Sigma | Distance | 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 | Distance | Real Number | Spherical error probable - statistically equivalent spherical representation for the equal probability density ellipsoid defined by the covariance matrix. |
| Approx SEP | Distance | Real Number | Fast approximation of "spherical error probable". |