Satellite: Position Covariance Choose 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.

Type: Time-varying data

Availability: Reports | Graphs | Dynamic Displays | Strip Charts

NameDimensionTypeDescription
TimeDateFormatReal NumberTime.
Sigma xDistanceUnitReal NumberSquare root of the first diagonal component of the scaled covariance matrix.
Sigma yDistanceUnitReal NumberSquare root of the second diagonal component of the scaled covariance matrix.
Sigma zDistanceUnitReal NumberSquare root of the third diagonal component of the scaled covariance matrix.
Correlation xyUnitlessReal NumberXY correlation coefficient of the scaled covariance matrix.
Correlation xzUnitlessReal NumberXZ correlation coefficient of the scaled covariance matrix.
Correlation yzUnitlessReal NumberYZ correlation coefficient of the scaled covariance matrix.
CovMtx xxAreaReal NumberXX Component of the Position Covariance Matrix
CovMtx yxAreaReal NumberYX Component of the Position Covariance Matrix
CovMtx yyAreaReal NumberYY Component of the Position Covariance Matrix
CovMtx zxAreaReal NumberZX Component of the Position Covariance Matrix
CovMtx zyAreaReal NumberZY Component of the Position Covariance Matrix
CovMtx zzAreaReal NumberZZ Component of the Position Covariance Matrix
1/(Inverted Sigma x)DistanceUnitReal NumberSquare root of the inverse of the first diagonal element of the inverse of the scaled covariance matrix.
1/(Inverted Sigma y)DistanceUnitReal NumberSquare root of the inverse of the second diagonal element of the inverse of the scaled covariance matrix.
1/(Inverted Sigma z)DistanceUnitReal NumberSquare root of the inverse of the third diagonal element of the inverse of the scaled covariance matrix.
YPR321 yawAngleUnitReal NumberYaw 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 pitchAngleUnitReal NumberPitch 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 rollAngleUnitReal NumberRoll 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 precessionAngleUnitReal NumberPrecession 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 nutationAngleUnitReal NumberNutation 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 spinAngleUnitReal NumberSpin 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.
q1UnitlessReal NumberFirst element of quaternion (and of its vector part) representing orientation between the two sets of axes.
q2UnitlessReal NumberSecond element of quaternion (and of its vector part) representing orientation between the two sets of axes.
q3UnitlessReal NumberThird element of quaternion (and of its vector part) representing orientation between the two sets of axes.
q4UnitlessReal NumberFourth element of quaternion (its scalar part) representing orientation between the two sets of axes.
Major SigmaDistanceUnitReal NumberSquare root of the maximum eigenvalue of the projected covariance matrix.
Intermediate SigmaDistanceUnitReal NumberSquare root of the intermediate eigenvalue of the scaled covariance matrix.
Minor SigmaDistanceUnitReal NumberSquare root of the minimum eigenvalue of the projected covariance matrix.
Major Sigma Dir xUnitlessReal NumberFirst component of the unit vector along the major axis of the scaled ellipsoid.
Major Sigma Dir yUnitlessReal NumberSecond component of the unit vector along the major axis of the scaled ellipsoid.
Major Sigma Dir zUnitlessReal NumberThird component of the unit vector along the major axis of the scaled ellipsoid.
Minor Sigma Dir xUnitlessReal NumberFirst component of the unit vector along the minor axis of the scaled ellipsoid.
Minor Sigma Dir yUnitlessReal NumberSecond component of the unit vector along the minor axis of the scaled ellipsoid.
Minor Sigma Dir zUnitlessReal NumberThird component of the unit vector along the minor axis of the scaled ellipsoid.
VolumeVolumeReal NumberVolume of the scaled equal probability density ellipsoid defined by the scaled covariance matrix.
SEPDistanceUnitReal NumberSpherical error probable - statistically equivalent spherical representation for the equal probability density ellipsoid defined by the covariance matrix.
Approx SEPDistanceUnitReal NumberFast approximation of "spherical error probable".