Table 1.
Error Analysis Summary of Three Proposed Multi-Position Alignment Schemes
Error Source | Two-Position Scheme | Three-Sequence Scheme | Reciprocating Rotation Scheme |
---|
, | | | |
| | | |
| | | |
, | | | |
| | | |
, | | | |
, , | | | |
| | | |
| | | |
| | | |
Table 2.
Two-Position Alignment Result at Rotational Rate of 60°/s without Lever Arm Compensation
| Azimuth1 (°) | Azimuth2 (°) | Azimuth3 (°) | Azimuth4 (°) |
---|
1 | 269.3418 | 179.2981 | 89.4809 | 359.5226 |
2 | 269.3310 | 179.3022 | 89.4788 | 359.5278 |
3 | 269.3440 | 179.2900 | 89.4722 | 359.5152 |
4 | 269.3433 | 179.2855 | 89.4750 | 359.5221 |
5 | 269.3499 | 179.2957 | 89.4643 | 359.5180 |
6 | 269.3352 | 179.2971 | 89.4837 | 359.5246 |
7 | 269.3360 | 179.2984 | 89.4781 | 359.5312 |
8 | 269.3457 | 179.3001 | 89.4779 | 359.5206 |
(°) | 269.3409 | 179.2959 | 89.4764 | 359.5227 |
(°) | 0.2268 |
Table 3.
Two-Position Alignment Result at Rotational Rate of 60°/s with Lever Arm Compensation
| Azimuth1 (°) | Azimuth2 (°) | Azimuth3 (°) | Azimuth4 (°) |
---|
1 | 269.4047 | 179.4073 | 89.4174 | 359.4132 |
2 | 269.3938 | 179.4114 | 89.4152 | 359.4185 |
3 | 269.4085 | 179.3991 | 89.4082 | 359.4058 |
4 | 269.4080 | 179.3947 | 89.4104 | 359.4127 |
5 | 269.4151 | 179.4050 | 89.3995 | 359.4085 |
6 | 269.4005 | 179.4064 | 89.4179 | 359.4150 |
7 | 269.4024 | 179.4077 | 89.4122 | 359.4217 |
8 | 269.4122 | 179.4095 | 89.4119 | 359.4111 |
(°) | 269.4057 | 179.4051 | 89.4116 | 359.4133 |
(°) | 0.0082 |
Table 4.
Two-Position Alignment Result at Rotational Rate of 10°/s without Lever Arm Compensation
| Azimuth1 (°) | Azimuth2 (°) | Azimuth3 (°) | Azimuth4 (°) |
---|
1 | 2.2415 | 272.0891 | 182.0318 | 92.1932 |
2 | 2.2418 | 272.0917 | 182.0402 | 92.2123 |
3 | 2.2422 | 272.0791 | 182.0327 | 92.2156 |
4 | 2.2311 | 272.0794 | 182.0438 | 92.2074 |
5 | 2.2251 | 272.0989 | 182.0297 | 92.1904 |
6 | 2.2413 | 272.0850 | 182.0378 | 92.1887 |
7 | 2.2377 | 272.0898 | 182.0333 | 92.2082 |
8 | 2.2434 | 272.0793 | 182.0410 | 92.2028 |
(°) | 2.2380 | 272.0865 | 182.0363 | 92.2023 |
(°) | 0.2017 |
Table 5.
Two-Position Alignment Result at Rotational Rate of 10°/s with Lever Arm Compensation
| Azimuth1 (°) | Azimuth2 (°) | Azimuth3 (°) | Azimuth4 (°) |
---|
1 | 2.1313 | 272.1571 | 182.1381 | 92.1380 |
2 | 2.1507 | 272.1591 | 182.1486 | 92.1457 |
3 | 2.1347 | 272.1283 | 182.1319 | 92.1527 |
4 | 2.1496 | 272.1398 | 182.1449 | 92.1416 |
5 | 2.1353 | 272.1457 | 182.1416 | 92.1413 |
6 | 2.1494 | 272.1507 | 182.1395 | 92.1377 |
7 | 2.1444 | 272.1441 | 182.1391 | 92.1454 |
8 | 2.1436 | 272.1490 | 182.1399 | 92.1414 |
(°) | 2.1424 | 272.1467 | 182.1404 | 92.1430 |
(°) | 0.0063 |
Table 6.
Three-Sequence Scheme Alignment Results at Rotational Rate of 60°/s without Lever Arm Compensation
| Azimuth1 (°) | Azimuth2 (°) | Azimuth3 (°) | Azimuth4 (°) |
---|
1 | 269.3470 | 179.3833 | 89.4186 | 359.4198 |
2 | 269.3645 | 179.3856 | 89.4096 | 359.4124 |
3 | 269.3469 | 179.3812 | 89.4089 | 359.4060 |
4 | 269.3690 | 179.3824 | 89.4005 | 359.4138 |
5 | 269.3763 | 179.3822 | 89.4053 | 359.4147 |
6 | 269.3668 | 179.3964 | 89.4045 | 359.4128 |
7 | 269.3683 | 179.3901 | 89.4142 | 359.4159 |
8 | 269.3738 | 179.3853 | 89.4055 | 359.4076 |
(°) | 269.3641 | 179.3858 | 89.4084 | 359.4129 |
(°) | 0.0488 |
Table 7.
Three-Sequence Scheme Alignment Results at Rotational Rate of 60°/s with Lever Arm Compensation
| Azimuth1 (°) | Azimuth2 (°) | Azimuth3 (°) | Azimuth4 (°) |
---|
1 | 269.3772 | 179.3891 | 89.4295 | 359.4277 |
2 | 269.3947 | 179.3914 | 89.4208 | 359.4203 |
3 | 269.3745 | 179.3870 | 89.4203 | 359.4139 |
4 | 269.3957 | 179.3878 | 89.4136 | 359.4218 |
5 | 269.4022 | 179.3870 | 89.4190 | 359.4229 |
6 | 269.3923 | 179.4013 | 89.4201 | 359.4214 |
7 | 269.3911 | 179.3949 | 89.4301 | 359.4244 |
8 | 269.3908 | 179.3900 | 89.4216 | 359.4161 |
(°) | 269.3898 | 179.3911 | 89.4219 | 359.4211 |
(°) | 0.0321 |
Table 8.
Three-Sequence Scheme Alignment Results at Rotational Rate of 10°/s without Lever Arm Compensation
| Azimuth1 (°) | Azimuth2 (°) | Azimuth3 (°) | Azimuth4 (°) |
---|
1 | 2.1492 | 272.1509 | 182.1385 | 92.1430 |
2 | 2.1325 | 272.1533 | 182.1486 | 92.1485 |
3 | 2.1491 | 272.1234 | 182.1313 | 92.1551 |
4 | 2.1330 | 272.1352 | 182.1446 | 92.1452 |
5 | 2.1477 | 272.1405 | 182.1426 | 92.1479 |
6 | 2.1413 | 272.1458 | 182.1399 | 92.1379 |
7 | 2.1427 | 272.1381 | 182.1373 | 92.1489 |
8 | 2.1448 | 272.1442 | 182.1422 | 92.1444 |
(°) | 2.1425 | 272.1414 | 182.1406 | 92.1464 |
(°) | 0.0058 |
Table 9.
Three-Sequence Scheme Alignment Results at Rotational Rate of 10°/s with Lever Arm Compensation
| Azimuth1 (°) | Azimuth2 (°) | Azimuth3 (°) | Azimuth4 (°) |
---|
1 | 2.1484 | 272.1528 | 182.1392 | 92.1404 |
2 | 2.1490 | 272.1553 | 182.1494 | 92.1459 |
3 | 2.1318 | 272.1254 | 182.1321 | 92.1525 |
4 | 2.1541 | 272.1372 | 182.1454 | 92.1425 |
5 | 2.1445 | 272.1426 | 182.1434 | 92.1452 |
6 | 2.1468 | 272.1478 | 182.1407 | 92.1352 |
7 | 2.1453 | 272.1402 | 182.1382 | 92.1462 |
8 | 2.1437 | 272.1462 | 182.1422 | 92.1417 |
(°) | 2.1458 | 272.1434 | 182.1413 | 92.1437 |
(°) | 0.0045 |
Table 10.
Reciprocating Slow-Rotation Scheme Alignment Results with Lever Arm Compensation
| Azimuth1 (°) | Azimuth2 (°) | Azimuth3 (°) | Azimuth4 (°) |
---|
1 | 2.1330 | 272.1394 | 182.1325 | 92.1504 |
2 | 2.1401 | 272.1475 | 182.1410 | 92.1380 |
3 | 2.1399 | 272.1414 | 182.1432 | 92.1329 |
4 | 2.1372 | 272.1285 | 182.1354 | 92.1356 |
5 | 2.1326 | 272.1316 | 182.1262 | 92.1361 |
6 | 2.1418 | 272.1425 | 182.1511 | 92.1353 |
7 | 2.1392 | 272.1363 | 182.1457 | 92.1336 |
8 | 2.1403 | 272.1339 | 182.1386 | 92.1408 |
(°) | 2.1380 | 272.1377 | 182.1392 | 92.1378 |
(°) | 0.0015 |