Analysis of Coaxiality Error Induced by the Cube Corner Retro-Reflector Geometrical and Assembly Errors of an Acquisition, Pointing, and Tracking System
Abstract
:1. Introduction
2. Coaxiality Measurement Method
3. Error Modeling and Analysis
3.1. Geometrical Error of CCR
N2 = (sin(δ12), 0, cos(δ12)) × (0, sin(δ23), cos(δ23)).
N3 = (sin(δ31), cos(δ31), 0) × (0, cos(δ23), sin(δ23))
3.2. Influence of Assembly Error on Pointing Accuracy
4. Coaxiality Error Analysis
5. Discussion
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Abbreviation | Explanation | Symbol | Explanation |
---|---|---|---|
APT | Acquisition, pointing, and tracking | GEO | Geosynchronous Earth Orbit |
CCR | Cube corner retro-reflector | OPD | Optical path difference |
EDRS | Europe data relay system | δ | Dihedral angle error |
CE | Coaxiality error | W (,) | Wavefront |
PAA | Point-ahead angle | Δd | CCR Geometrical error |
FSM | Fast-steering mirror | ds | OPD (dihedral angle error induced) |
FM | Folding mirror | dt | OPD (planeness error induced) |
Az | Azimuth | N1, N2... | Newton’s rings |
El | Elevation | α | Angle rotated around the x-axis |
PAM | Point-ahead mirror | β | Angle rotated around the y-axis |
CCD | Charge coupled device | γ | Angle rotated around the z-axis |
LEO | Low Earth Orbit | ε | Angle between vectors |
MEO | Medium Earth Orbit |
Assembly Error (°) | Assembly Elements | |||
---|---|---|---|---|
M1 | M2 | Az FM | El FM | |
Coaxiality Error (Urad) | ||||
0.001 | 18 | 18 | 23 | 10 |
0.002 | 37 | 17 | 36 | 9 |
0.003 | 61 | 13 | 53 | 10 |
0.004 | 83 | 19 | 61 | 10 |
0.005 | 102 | 21 | 71 | 13 |
Assembly Error (°) | Assembly Elements | |||
---|---|---|---|---|
M1 | M2 | Az FM | El FM | |
Coaxiality Error (Urad) | ||||
0.001 | 39 | 29 | 38 | 19 |
0.002 | 73 | 31 | 40 | 31 |
0.003 | 77 | 29 | 61 | 33 |
0.004 | 107 | 30 | 75 | 43 |
0.005 | 133 | 25 | 86 | 34 |
Assembly Error (°) | Assembly Elements | |||
---|---|---|---|---|
M1 | M2 | Az FM | El FM | |
Coaxiality Error (Urad) | ||||
0.001 | 166 | 137 | 144 | 141 |
0.002 | 192 | 142 | 147 | 136 |
0.003 | 219 | 141 | 153 | 127 |
0.004 | 245 | 145 | 157 | 124 |
0.005 | 264 | 139 | 162 | 134 |
Assembly Error (°) | Assembly Elements | |||
---|---|---|---|---|
M1 | M2 | Az FM | El FM | |
Coaxiality Error (Urad) | ||||
0.001 | 112 | 86 | 91 | 79 |
0.002 | 138 | 85 | 98 | 81 |
0.003 | 165 | 90 | 112 | 79 |
0.004 | 192 | 84 | 111 | 83 |
0.005 | 232 | 88 | 130 | 82 |
Assembly Error (°) | Assembly Elements | |||
---|---|---|---|---|
M1 | M2 | Az FM | El FM | |
Coaxiality Error (Urad) | ||||
0.001 | 646 | 683 | 690 | 692 |
0.002 | 629 | 678 | 692 | 689 |
0.003 | 599 | 677 | 686 | 681 |
0.004 | 572 | 684 | 699 | 685 |
0.005 | 548 | 683 | 700 | 673 |
Assembly Error (°) | Assembly Elements | |||
---|---|---|---|---|
M1 | M2 | Az FM | El FM | |
Coaxiality Error (Urad) | ||||
0.001 | 300 | 329 | 322 | 327 |
0.002 | 274 | 325 | 333 | 329 |
0.003 | 243 | 324 | 335 | 330 |
0.004 | 216 | 325 | 335 | 325 |
0.005 | 192 | 328 | 344 | 334 |
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Li, D.; Mao, Z.; Sun, L.; Zhang, H.; Zhang, F. Analysis of Coaxiality Error Induced by the Cube Corner Retro-Reflector Geometrical and Assembly Errors of an Acquisition, Pointing, and Tracking System. Photonics 2023, 10, 1176. https://doi.org/10.3390/photonics10101176
Li D, Mao Z, Sun L, Zhang H, Zhang F. Analysis of Coaxiality Error Induced by the Cube Corner Retro-Reflector Geometrical and Assembly Errors of an Acquisition, Pointing, and Tracking System. Photonics. 2023; 10(10):1176. https://doi.org/10.3390/photonics10101176
Chicago/Turabian StyleLi, Daquan, Zhaoyong Mao, Lijuan Sun, Haifeng Zhang, and Furui Zhang. 2023. "Analysis of Coaxiality Error Induced by the Cube Corner Retro-Reflector Geometrical and Assembly Errors of an Acquisition, Pointing, and Tracking System" Photonics 10, no. 10: 1176. https://doi.org/10.3390/photonics10101176
APA StyleLi, D., Mao, Z., Sun, L., Zhang, H., & Zhang, F. (2023). Analysis of Coaxiality Error Induced by the Cube Corner Retro-Reflector Geometrical and Assembly Errors of an Acquisition, Pointing, and Tracking System. Photonics, 10(10), 1176. https://doi.org/10.3390/photonics10101176