CRYOSAT-2: STAR TRACKER ATTITUDE CALCULATION TOOL FILE TRANSFER DOCUMENT

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Page: 1 / 7 CRYOSAT-: STAR TRACKER ATTITUDE CALCULATION TOOL FILE TRANSFER DOCUMENT 1. INTRODUCTION This is the File Transfer Document for the executable routine that computes attitude data (quaternions, pitch, roll and yaw angles) from a given Cryosat- Star Tracker file. 1.1 Change History 1. Distribution List Issue Change Description 1.0 First issue Project/Unit Name Project/Unit Name Project/Unit Name 1.3 Reference Documents [RD 01] Earth Observation Mission CFI Software. Conventions Document. Ref. EO-MA-DMS-GS-0001. Issue 3.7.4-31/01/11 [RD 0] Earth Observation Mission CFI Software. EO_DATA_HANDLING Software User Manual. Ref. EO-MA-DMS-GS-0007. Issue 3.7.4-31/01/11. ARCHIVE CONTENT The following archive file has been delivered (generated with the zip utility): EOCFI-FTD-019_1_0.zip The archive has the following MD5 checksum: fd68545733345fbaac1eb07c68bd6bf The archive contains the following files:./attitudestartrackerfile_v1_0/cs_oper_dor_nav_0 0130601T034036_0130601T051836_0001.DBL./AttitudeStarTrackerFile_v1_0/CS_OPER_MPL_ORBPRE_0130601T000000_0130701T000000_0001.EEF./AttitudeStarTrackerFile_v1_0/CS_OPER_STR1ATT_0 0130601T03408_0130601T051837_0001.DBL./AttitudeStarTrackerFile_v1_0/CS_OPER_STRATT_0 0130601T03408_0130601T051837_0001.DBL./AttitudeStarTrackerFile_v1_0/CS_OPER_STR3ATT_0 0130601T03408_0130601T051837_0001.DBL./AttitudeStarTrackerFile_v1_0/cryosat_reference_frame_conf.xml./AttitudeStarTrackerFile_v1_0/LINUX64/attitude_star_tracker_file./AttitudeStarTrackerFile_v1_0/MACINTEL64/attitude_star_tracker_file./AttitudeStarTrackerFile_v1_0/OUTPUT/output_attitude_data_0130601_03407_0130601_051837.txt 3. ARCHIVE CONTENT DESCRIPTION File CS_OPER_DOR_NAV_0 0130601T034036_0130601T051836_0001.DBL CS_OPER_MPL_ORBPRE_0130601T000000_0130701T000000_0001.EEF CS_OPER_STR1ATT_0 0130601T03408_0130601T051837_0001.DBL CS_OPER_STRATT_0 0130601T03408_0130601T051837_0001.DBL Description Cryosat DORIS Navigator file Cryosat Predicted Orbit File Cryosat Star Tracker file (Star Tracker #1) Cryosat Star Tracker file (Star Tracker #) Cryosat Star Tracker file (Star

Page: / 7 CS_OPER_STR3ATT_0 0130601T03408_0130601T051837_0001.DBL Tracker #3) cryosat_reference_frame_conf.xml Star Tracker configuration file LINUX64/attitude_star_tracker_file Executable tools for Linux 64-bit MACINTEL64/attitude_star_tracker_file Executable tools for Mac Intel 64-bit OUTPUT/output_attitude_data_0130601_03407_0130601_051837 Example of output file generated by the executable attitude_star_tracker_file 4. INSTALLATION The archive can be expanded with the command unzip (in Linux/Mac Intel). 5. USAGE 5.1 Executable program attitude_star_tracker_file The executable program attitude_star_tracker_file computes the relevant attitude data (with a given time step) from a given Cryosat- Star Tracker file. The attitude data is calculated for the time interval covered by the Star Tracker file. The executable tool expects also as input, among other parameters, an EO CFIcompatible orbit file (see [RD 0]). The orbit file has to cover the time period covered the Star Tracker file. The data generated by the executable is stored in an output file. 5.1.1 Command line input parameters description The command line parameters of the executable routine are the following (provided in the order in which they have to be supplied): INPUT PARAMETERS Definition Value Satellite ID Satellite identifier CRYOSAT Input Orbit File Filename (it may include the path to Given by the user Supported types: Orbit Scenario File Predicted Orbit File Restituted Orbit File (also DORIS Preliminary and Precise) DORIS Navigator File the file) See [RD 0] for further file format information Input Star Tracker File Filename (it may include the path to Given by the user the file) See [RD 0] for further file format information Input Star Tracker Configuration File Filename (it may include the path to Given by the user the file) See [RD 0] for further file format information Time Step [s] Time step (in seconds) for the computation of intermediate data Given by the user 5.1. Output file format description The executable program attitude_star_tracker_file generates as output a file. The filename of the output file is constructed automatically by appending the validity start and stop time of the input Star Tracker file to the string output_attitude_data_(see example in Section 5.1.3). The output file includes comments (starting with the symbol #) describing the input and output data. The format of the output file is the following:

Page: 3 / 7 Column 1: UTC Time in calendar format (CCSDS-A ASCII format yyyy-mm-ddthh:mm:ss.uuuuuu ) Column : UTC Time in MJD000 reference [decimal days] Column 3: Absolute Orbit Number Column 4: Seconds since ANX Column 5: Geocentric Longitude [deg] Column 6: Geodetic Latitude [deg] Column 7: q0 component of attitude quaternion from Star Tracker Frame to Geocentric Mean of 000 Column 8: q1 component of attitude quaternion from Star Tracker Frame to Geocentric Mean of 000 Column 9: q component of attitude quaternion from Star Tracker Frame to Geocentric Mean of 000 Column 10: q3 component of attitude quaternion from Star Tracker Frame to Geocentric Mean of 000 Column 11: q0 component of attitude quaternion from Geocentric Mean of 000 to Satellite Column 1: q1 component of attitude quaternion from Geocentric Mean of 000 to Satellite Column 13: q component of attitude quaternion from Geocentric Mean of 000 to Satellite Column 14: q3 component of attitude quaternion from Geocentric Mean of 000 to Satellite Column 15: Pitch rotation angle from Satellite Orbital Frame to Satellite [deg] Column 16: Roll rotation angle from Satellite Orbital Frame to Satellite [deg] Column 17: Yaw rotation angle from Satellite Orbital Frame to Satellite [deg] Column 18: Pitch rotation angle from Satellite Nominal to Satellite [deg] Column 19: Roll rotation angle from Satellite Nominal to Satellite [deg] Column 0: Yaw rotation angle from Satellite Nominal to Satellite [deg] 5.1.3 Example 5.1.3.1 Running the executable The executable program can be called in the following way: - From Linux/Mac shell./attitude_star_tracker_file CRYOSAT./CS_OPER_MPL_ORBPRE_0130601T000000_0130701T000000_0001.EEF./CS_OPER_STR1ATT_0 0130601T03408_0130601T051837_0001.DBL./cryosat_reference_frame_conf.xml 10.0 The executable program shows the following messages: attitude_star_tracker_file v1.0 -------------------------------- Input data: Satellite: CRYOSAT Orbit File:./CS_OPER_MPL_ORBPRE_0130601T000000_0130701T000000_0001.EEF Star Tracker File:./CS_OPER_STR1ATT_0 0130601T03408_0130601T051837_0001.DBL Star Tracker Configuration File:./cryosat_reference_frame_conf.xml Time Step: 10.000000 <s> TIME INITIALIZATION

Page: 4 / 7 ATTITUDE INITIALIZATION ORBIT INITIALIZATION CALCULATION OF ATTITUDE DATA Start UTC Time: 0130601_03407 Stop UTC Time : 0130601_051837 Output file created successfully: output_attitude_data_0130601_03407_0130601_051837.txt 5.1.3. Output File The output file S3A_output_data.txt is created. Excerpt of the example output file: # Generated with executable tool attitude_star_tracker_file v1.0 # Satellite: CRYOSAT # Predicted orbit file:./cs_oper_mpl_orblpr_010619t10000_01306t190000_0001.eef # Star Tracker file:./cs_oper_str1att_0 0130601T03408_0130601T051837_0001.DBL # Star Tracker configuration file:./cryosat_reference_frame_conf3.xml # Time Step: 10.000000 <s> # Output Filename: output_attitude_data_0130601_03407_0130601_051837.txt # # Calendar UTC Time MJD000 UTC Time Geocentric Longitude [deg] Geodetic Latitude [deg] Attitude Quaternion (q0 q1 q q3) from STR to GM000 Attitude Quaternion (q0 q1 q q3) from GM000 to Sat Attitude (Pitch, Roll, Yaw) [deg] from Sat Orbital to Sat Attitude (Pitch, Roll, Yaw) [deg] from Sat Nominal to Sat Attitude # ---------------------------------------------------------------------------------------------------- ------------------------------------------------------------------------------------------------------ ------------------------------------------------------------------------------------------------------ ----------------------- 0130601_0340698000 4900.153090069444 16683 +1646.69560 +091.601975 +080.110147 +0.036693305-0.07761336-0.0706379 +0.975469065 +0.031043116 +0.08097469 +0.835458996 +0.5466701 +000.056131 +000.017436-000.584457-000.001791 +000.00840 +000.08046 0130601_03403698000 4900.15305810185 16683 +1656.69560 +090.885864 +079.507 +0.037901883-0.08678604-0.001617 +0.975149806 +0.03378991 +0.08539719 +0.834737593 +0.5493570 +000.061390 +000.01688-000.645100 +000.000058 +000.007757 +000.060654 0130601_03404698000 4900.1533155096 16683 +1666.69560 +090.4096 +078.9903 +0.03910096-0.08778739-0.01461809 +0.974770553 +0.03657449 +0.089843840 +0.834069047 +0.543064668 +000.061984 +000.017458-000.688915-000.00744 +000.008346 +000.05781 0130601_03405698000 4900.15343791667 16683 +1676.69560 +089.656458 +078.33676 +0.04086395-0.0985891-0.00953693 +0.974357143 +0.039341601 +0.0945467 +0.833408885 +0.543137114 +000.066891 +000.018395-000.76781-000.0011 +000.009354 +000.060834 [ ] 6. TECHNICAL DETAILS AND ASSUMPTIONS 6.1 Coordinate Systems and s The geodetic coordinates of the satellite are defined with respect Earth Ellipsoid WGS 84. The following reference frames have been used for the calculation of the attitude quaternions: Geocentric Mean of 000 The definition of the Geocentric Mean of 000 can be found In Section 5 of [RD 1]. Satellite Orbital Frame: Z = Unit vector from Earth Center to satellite X = Unit cross product Z x satellite inertial velocity Y = Z x X

Page: 5 / 7 Satellite Nominal : Local Normal Pointing + Yaw Steering Law Z = Unit vector from geodetic nadir to satellite. It is calculated on-board by scaling the Z component of the satellite position with a coefficient X = Unit cross product Z x satellite inertial velocity corrected for Earth s rotation Y= Z x X Satellite : Measured attitude frame. Star Tracker measured attitude including misalignment of the Star Tracker Frame. 6. Quaternion Definition The following quaternion definition is used: Q = q 0 q 3 with

Page: 6 / 7 q 0 = e x sin θ = e y sin θ = e z sin θ q 3 = cos θ ( ) are the direction cosines of the rotation axis (vector part) and θ is the rotation angle where e x,e y,e z (real part). 6.3 Rotation Matrix Definition The rotation matrix M A B transforms a vector in Frame A into a vector in Frame B, i.e. x B = M A B x A where x 0 y 0 z 0 M A B = x 1 y 1 z 1 x y z ( x 0, x 1, x ) is the unitary direction vector along X-axis of Frame A (expressed in Frame B) ( y 0, y 1, y ) is the unitary direction vector along Y-axis of Frame A (expressed in Frame B) ( ) is the unitary direction vector along Z-axis of Frame A (expressed in Frame B) z 0,z 1,z 6.4 Quaternion and Rotation Matrix Two quaternion sets are given in the output attitude data files: quaternions that represent the transformation from Star Tracker Frame to Geocentric Mean of 000 quaternions that represent the transformation from Geocentric Mean of 000 to Satellite In both cases, the following convention applies (the equations below use the notation for the quaternion from Geocentric Mean of 000 to Satellite ): Q J 000 ATT = q 0 q 3 The quaternion Q J 000 ATT is associated to the rotation matrix M J 000 ATT as follows:

Page: 7 / 7 Q J 000 ATT = q 0 q 3 M J 000 ATT = 0 1 + q 3 (q 0 + ) (q 0 ) (q 0 ) 0 + 1 + q 3 ( + q 0 ) (q 0 + ) ( q 0 ) 0 1 + + q 3 where M J 000 SAT ATT transforms a vector in J000 into a vector in Satellite, i.e. x SAT ATT = M J 000 SAT ATT x J 000 6.5 Rotation Angles Note that in EO CFI (see [RD 01]) whenever a transformation is expressed as a sequence of rotations, the following expressions apply (the angle w is regarded positive): R X (w) = 1 0 0 0 cosw sin w 0 sin w cosw R Y (w) = cosw 0 sin w 0 1 0 sin w 0 cosw R Z (w) = cosw sinw 0 sin w cosw 0 0 0 1 The Earth Observation CFI applies the following convention when using Euler angles roll-pitch-yaw to rotate one reference frame to another. In the output attitude data file, two sets of roll, pitch, yaw angles are given: rotation from Satellite Orbital Frame to Satellite rotation from Satellite Nominal Frame to Satellite In both cases the following definition applies (the notation for the case from Satellite Orbital Frame to Satellite is used): M SATORB SAT ATT = R Z (yaw) R X ( pitch) R Y ( roll) = cos(y) cos(r) + sin(r) sin(y) sin(p) sin(y) cos(p) cos(y) sin(r) cos(r) sin(y) sin(p) = sin(y) cos(r) + sin(r) sin(p) cos(y) cos(y) cos(p) sin(y) sin(r) sin(p) cos(y) cos(r) sin(r) cos(p) sin(p) cos(r) cos(p) where M SATORB SAT ATT transforms a vector in Satellite Orbital Frame into a vector in Satellite Attitude Frame, i.e. x SAT ATT = M SATORB SAT ATT x SATORB 6.6 Earth Observation CFI Software Version The executable tools have been generated using EO CFI v3.7.4.