Direction Cosine Matrix ECI to ECEF
Convert Earth-centered inertial (ECI) to Earth-centered Earth-fixed (ECEF) coordinates
Libraries:
Aerospace Blockset /
Utilities /
Axes Transformations
Description
The Direction Cosine Matrix ECI to ECEF block calculates the position direction cosine matrix ( Earth-centered inertial to Earth-centered Earth-fixed ), based on the specified reduction method and Coordinated Universal Time (UTC), for the specified time and geophysical data.
Ports
Input
ΔUT1 — Difference between UTC and Universal Time
scalar
Difference between UTC and Universal Time (UT1) in seconds, specified as a scalar, for which the function calculates the direction cosine or transformation matrix.
Example:
0.234
Dependencies
To enable this port, select the Higher accuracy parameters check box.
Data Types: double
ΔAT — Difference between International Atomic Time and UTC
scalar
Difference between International Atomic Time (IAT) and UTC, specified as a scalar, in seconds, for which the function calculates the direction cosine or transformation matrix.
Example:
32
Dependencies
To enable this port, select the Higher accuracy parameters check box.
Data Types: double
[xp,yp] — Polar displacement of Earth
1-by-2 array
Polar displacement of Earth, specified as a 1-by-2 array, in radians, from the motion of the Earth crust, along the x-axis and y-axis.
Example:
[-0.0682e-5 0.1616e-5]
Dependencies
To enable this port, select the Higher accuracy parameters check box.
Data Types: double
Port_5 — Adjustment based on reduction method
1-by-2 array
Adjustment based on reduction method, specified as 1-by-2 array. The name of the port depends on the setting of the Reduction parameter:
If the reduction method is
IAU-2000/2006
, this input is the adjustment to the location of the Celestial Intermediate Pole (CIP), specified in radians. This location ([dX, dY]) is along the x-axis and y-axis.If the reduction method is
IAU-76/FK5
, this input is the adjustment to the longitude ([Δδψ, Δδε]), specified in radians.
For historical values, see the International Earth Rotation and Reference Systems
Service website (https://www.iers.org
).
Example:
[-0.2530e-6 -0.0188e-6]
Dependencies
To enable this port, select the Higher accuracy parameters check box.
Data Types: double
Port_6 — Time increment source
scalar
Time increment source, specified as a scalar, such as the Clock block.
Dependencies
The port name and time increment depend on the Time Increment parameter.
Time Increment Value Port Name Day
day
Hour
hour
Min
min
Sec
sec
None
No port
To disable this port, set the Time Increment parameter to
None
.
Data Types: double
Output
DCMfi — Direction cosine matrix
3-by-3 matrix
Direction cosine matrix ECI to ECEF.
Data Types: double
Parameters
Reduction — Reduction method
IAU-76/FK5
(default) | IAU-2000/2006
Reduction method to calculate the direction cosine matrix. The method can be one of the following:
IAU-76/FK5
Reduce the calculation using the IAU-76/Fifth Fundamental Catalogue (FK5) reference system. Choose this reduction method if the reference coordinate system for the conversion is FK5.
Note
This method uses the IAU 1976 precession model and the IAU 1980 theory of nutation to reduce the calculation. This model and theory are no longer current, but the software provides this reduction method for existing implementations. Because of the polar motion approximation that this reduction method uses, the block calculates the transformation matrix rather than the direction cosine matrix.
IAU-2000/2006
Reduce the calculation using the International Astronomical Union (IAU)-2000/2006 reference system. Choose this reduction method if the reference coordinate system for the conversion is IAU-2000. This reduction method uses the P03 precession model to reduce the calculation.
Programmatic Use
Block Parameter:
red |
Type: character vector |
Values:
'IAU-2000/2006' |
'IAU-76/FK5' |
Default:
'IAU-2000/2006' |
Year — Year
2013
(default) | double, whole number, greater than 1
Year to calculate the Coordinated Universal Time (UTC) date. Enter a double value that is
a whole number greater than 1, such as 2013
.
Programmatic Use
Block Parameter:
year |
Type: character vector |
Values: double, whole number, greater than 1 |
Default:
'2013' |
Month — Month
January
(default) | February
| March
| April
| May
| June
| July
| August
| September
| October
| November
| December
Month to calculate the UTC date.
Programmatic Use
Block Parameter:
month |
Type: character vector |
Values:
'January' | 'February' |
'March' | 'April' |
'May' | 'June' |
'July' | 'August' |
'September' | 'October' |
'November' |
'December' |
Default:
'January' |
Day — Day
1
(default) | 2
| 3
| 4
| 5
| 6
| 7
| 8
| 9
| 10
| 11
| 12
| 13
| 14
| 15
| 16
| 17
| 18
| 19
| 20
| 21
| 22
| 23
| 24
| 25
| 26
| 27
| 28
| 29
| 30
| 31
Day to calculate the UTC date.
Programmatic Use
Block Parameter:
day |
Type: character vector |
Values: '1'
| '2' | '3' |
'4' | '5' |
'6' | '7' |
'8' | '9' |
'10' | '11' |
'12' | '13' |
'14' | '15' |
'16' | '17' |
'18' | '19' |
'20' | '21' |
'22' | '23' |
'24' | '25' |
'26' | '27' |
'28' | '29' |
'30' | '31' |
Default:
'1' |
Hour — Hour
0
(default) | double, whole number, in the range of 0
and
24
Hour to calculate the UTC date. Enter a double value that is a whole
number, from 0
to 24
.
Programmatic Use
Block Parameter:
hour |
Type: character vector |
Values: double, whole number,
0 to 24 |
Default:
'0' |
Minutes — Minutes
0
(default) | double, whole number, in the range of 0
and
60
Minutes to calculate the UTC date. Enter a double value that is a whole
number, from 0
to 60
.
Programmatic Use
Block Parameter:
min |
Type: character vector |
Values: double, whole number,
0 to 60 |
Default:
'0' |
Seconds — Seconds
0
(default) | double, whole number, in the range of 0
and
60
Seconds to calculate the UTC date. Enter a double value that is a whole
number, from 0
to 60
.
Programmatic Use
Block Parameter:
sec |
Type: character vector |
Values: double, whole number,
0 to 60 |
Default:
'0' |
Time increment — Time increment
Day
(default) | Hour
| Min
| Sec
| None
Time increment between the specified date and the desired model simulation
time. The block adjusts the calculated direction cosine matrix to take into
account the time increment from model simulation. For example, selecting
Day
and connecting a simulation timer to the port
means that each time increment unit is one day and the block adjusts its
calculation based on that simulation time.
This parameter corresponds to the time increment input, the clock source.
If you select None
, the calculated Julian date does not
take into account the model simulation time.
Programmatic Use
Block Parameter:
deltaT |
Type: character vector |
Values:
'None' | 'Day' |
'Hour' | 'Min' |
'Sec' |
Default:
'Day' |
Action for out-of-range input — Out-of-range block behavior
None
(default) | Warning
| Error
Out-of-range block behavior, specified as follows.
Action | Description |
---|---|
| No action. |
| Warning in the Diagnostic Viewer, model simulation continues. |
| Error in the Diagnostic Viewer, model simulation stops. |
Programmatic Use
Block Parameter: errorflag |
Type: character vector |
Values: 'None' | 'Warning' | 'Error' |
Default: 'Error' |
Higher accuracy parameters — Enable higher accuracy parameters
on
(default) | off
Select this check box to enable these inputs. These inputs let you better control the conversion result. See Input for a description.
Δ UT1
Δ AT
[ xp , yp ]
[Δδψ, Δδε] or [d X, d Y ]
Programmatic Use
Block Parameter:
extraparamflag |
Type: character vector |
Values: 'on'
| 'off' |
Default:
'on' |
Extended Capabilities
C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.
Version History
Introduced in R2013b
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