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Report Style: State Transition Matrix

The 6x6 State Transition Matrix (STM) for the cartesian position and velocity, formatted as text lines that align columns for better readability. The STM describes the effect of position-velocity perturbations made at the start of propagation on the position-velocity state at the reported time. The coordinate system of the STM is required pre-data for this data provider. Updated data is generated only for segments with a propagator that has a State TransitionMatrix propagator function.

Data Provider:State Transition Matrix

Type: Time-varying data.

Availability: Reports | Dynamic Displays

Number of Lines: 6

Column Listing for Line 1

ColumnColumn NameElementTypeDimensionDescription
1TimeTimeReal Number or TextDateTime.
2Cartesian State Transition MatrixSTM Line1TextUnitlessThe first line of the Cartesian STM. Each column within the line contains an element of the STM. The column value associates delta(PosX, tf) [the perturbation in PosX at the reported time] with delta(z_i, ti) [the perturbation in the position-velocity state element corresponding to the column, at time ti], i.e., delta(PosX, tf) = [col value] * delta(z_i, ti), where ti is the time at the start of propagation, tf is the reported time, and delta(z_i,t) represents a small perturbation in component z_i at time t., where z=(PosX, PosY, PosZ, VelX, VelY, VelZ).

Column Listing for Line 2

ColumnColumn NameElementTypeDimensionDescription
1STM Line2TextUnitlessThe second line of the Cartesian STM. Each column within the line contains an element of the STM. The column value associates delta(PosY, tf) [the perturbation in PosY at the reported time] with delta(z_i, ti) [the perturbation in the position-velocity state element corresponding to the column, at time ti], i.e., delta(PosY, tf) = [col value] * delta(z_i, ti), where ti is the time at the start of propagation, tf is the reported time, and delta(z_i,t) represents a small perturbation in component z_i at time t., where z=(PosX, PosY, PosZ, VelX, VelY, VelZ).

Column Listing for Line 3

ColumnColumn NameElementTypeDimensionDescription
1STM Line3TextUnitlessThe third line of the Cartesian STM. Each column within the line contains an element of the STM. The column value associates delta(PosZ, tf) [the perturbation in PosZ at the reported time] with delta(z_i, ti) [the perturbation in the position-velocity state element corresponding to the column, at time ti], i.e., delta(PosZ, tf) = [col value] * delta(z_i, ti), where ti is the time at the start of propagation, tf is the reported time, and delta(z_i,t) represents a small perturbation in component z_i at time t., where z=(PosX, PosY, PosZ, VelX, VelY, VelZ).

Column Listing for Line 4

ColumnColumn NameElementTypeDimensionDescription
1STM Line4TextUnitlessThe fourth line of the Cartesian STM. Each column within the line contains an element of the STM. The column value associates delta(VelX, tf) [the perturbation in VelX at the reported time] with delta(z_i, ti) [the perturbation in the position-velocity state element corresponding to the column, at time ti], i.e., delta(VelX, tf) = [col value] * delta(z_i, ti), where ti is the time at the start of propagation, tf is the reported time, and delta(z_i,t) represents a small perturbation in component z_i at time t., where z=(PosX, PosY, PosZ, VelX, VelY, VelZ).

Column Listing for Line 5

ColumnColumn NameElementTypeDimensionDescription
1STM Line5TextUnitlessThe fifth line of the Cartesian STM. Each column within the line contains an element of the STM. The column value associates delta(VelY, tf) [the perturbation in VelY at the reported time] with delta(z_i, ti) [the perturbation in the position-velocity state element corresponding to the column, at time ti], i.e., delta(VelY, tf) = [col value] * delta(z_i, ti), where ti is the time at the start of propagation, tf is the reported time, and delta(z_i,t) represents a small perturbation in component z_i at time t., where z=(PosX, PosY, PosZ, VelX, VelY, VelZ).

Column Listing for Line 6

ColumnColumn NameElementTypeDimensionDescription
1STM Line6TextUnitlessThe sixth line of the Cartesian STM. Each column within the line contains an element of the STM. The column value associates delta(VelZ, tf) [the perturbation in VelZ at the reported time] with delta(z_i, ti) [the perturbation in the position-velocity state element corresponding to the column, at time ti], i.e., delta(VelZ, tf) = [col value] * delta(z_i, ti), where ti is the time at the start of propagation, tf is the reported time, and delta(z_i,t) represents a small perturbation in component z_i at time t., where z=(PosX, PosY, PosZ, VelX, VelY, VelZ).