Data Provider Groups | Data Provider Elements

Position Covariance in Axes

Reports data about position covariance matrix including orientation of its principal axes relative to selected 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>]"

Data Provider Groups

Any Axes component owned by the object is available for use, including user defined ones. Use the Analysis Workbench listing or the Report Manager->Report Content Properties tool to determine the actual set of components that can be used for a specific object.

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".