Data Providers: Satellite: Position Covariance in Axes: VVLH(Earth)

Reports data about position covariance matrix including orientation of its principal axes relative to the VVLH(Earth) 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".

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.

Unitless

Real Number

First element of quaternion (and of its vector part) representing orientation between the two sets of axes.

Unitless

Real Number

Second element of quaternion (and of its vector part) representing orientation between the two sets of axes.

Unitless

Real Number

Third element of quaternion (and of its vector part) representing orientation between the two sets of axes.

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

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".