ANALYSIS OF LUNAR ECLIPSE OBSERVATIONS
- BY BYRON W. SOULSBY, THEODORE LUNAR OBSERVATORY, AUSTRALIA
CRATER TIMING REDUCTIONS FOR 2004 MAY 4
OBSERVER DAVID PRINGLE-WOOD
NUMBER OF TIMINGS SUBMITTED 14
IMMERSION TIMINGS
|
FEATURE |
TYPE |
TIME (UT) |
Rc |
Ro |
Ro - Rc |
E % |
PSI(+N/-S) |
X |
Y |
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
GRIMALDI |
MID |
18.5236 |
0.7400 |
0.7514 |
0.0114 |
1.5371 |
-1.3112 |
-0.9114 |
-0.0911 |
0.9159 |
|
ARISTARCHUS |
MID |
18.5712 |
0.7397 |
0.7509 |
0.0112 |
1.5138 |
8.7250 |
-0.6530 |
0.4012 |
0.7664 |
|
KEPLER |
MID |
19.0050 |
0.7395 |
0.7494 |
0.0098 |
1.3301 |
2.8478 |
-0.5799 |
0.1400 |
0.5966 |
|
COPERNICUS |
MID |
19.0904 |
0.7394 |
0.7477 |
0.0082 |
1.1155 |
2.6329 |
-0.3011 |
0.1674 |
0.3446 |
|
PLATO |
MID |
19.1310 |
0.7396 |
0.7510 |
0.0113 |
1.5340 |
15.1805 |
-0.0755 |
0.7808 |
0.7845 |
|
TYCHO |
MID |
19.2605 |
0.7395 |
0.7480 |
0.0085 |
1.1504 |
-18.6133 |
-0.1121 |
-0.6854 |
0.6945 |
|
CENSORINUS |
MID |
19.3648 |
0.7397 |
0.7465 |
0.0068 |
0.9232 |
-3.8586 |
0.5756 |
-0.0079 |
0.5757 |
|
PROCLUS |
MID |
19.3820 |
0.7399 |
0.7512 |
0.0113 |
1.5239 |
2.2884 |
0.7290 |
0.2766 |
0.7797 |
|
LANGRENUS |
MID |
19.4713 |
0.7401 |
0.7518 |
0.0116 |
1.5706 |
-8.0251 |
0.8836 |
-0.1552 |
0.8972 |
NUMBER OF OBSERVATIONS 9
MEAN % E FOR TIMINGS 1.3554,
STANDARD DEVIATION 0.2376,
MEAN ERROR 0.079
EMERSION TIMINGS
|
FEATURE |
TYPE |
TIME (UT) |
Rc |
Ro |
Ro - Rc |
E % |
PSI(+N/-S) |
X |
Y |
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
GRIMALDI |
MID |
21.1508 |
0.7390 |
0.7445 |
0.0056 |
0.7541 |
-47.1330 |
-0.9028 |
-0.0911 |
0.9073 |
|
ARISTARCHUS |
MID |
21.2908 |
0.7393 |
0.7471 |
0.0079 |
1.0636 |
36.9430 |
-0.6384 |
0.4012 |
0.7540 |
|
KEPLER |
MID |
21.2801 |
0.7388 |
0.7473 |
0.0085 |
1.1501 |
42.8168 |
-0.5624 |
0.1400 |
0.5796 |
|
COPERNICUS |
MID |
21.3620 |
0.7386 |
0.7505 |
0.0119 |
1.6098 |
42.8970 |
-0.2807 |
0.1674 |
0.3268 |
|
TYCHO |
MID |
21.2326 |
0.7378 |
0.7481 |
0.0103 |
1.3959 |
-64.2010 |
-0.0996 |
-0.6854 |
0.6926 |
NUMBER OF OBSERVATIONS 5
MEAN % E FOR TIMINGS 1.1947,
STANDARD DEVIATION 0.3264,
MEAN ERROR 0.146,
OBSERVER MIKE BEGBIE
NUMBER OF TIMINGS SUBMITTED 22
IMMERSION TIMINGS
|
FEATURE |
TYPE |
TIME (UT) |
Rc |
Ro |
Ro - Rc |
E % |
PSI(+N/-S) |
X |
Y |
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
GRIMALDI |
1 C |
18.5216 |
0.7400 |
0.7451 |
0.0051 |
0.6896 |
-1.2123 |
-0.9114 |
-0.0911 |
0.9160 |
|
GRIMALDI |
2 C |
18.5306 |
0.7400 |
0.7562 |
0.0162 |
2.1945 |
-1.4612 |
-0.9114 |
-0.0911 |
0.9159 |
|
ARISTARCHUS |
1 C |
18.5630 |
0.7397 |
0.7552 |
0.0155 |
2.0993 |
8.8483 |
-0.6531 |
0.4012 |
0.7665 |
|
ARISTARCHUS |
2 C |
18.5714 |
0.7397 |
0.7527 |
0.0130 |
1.7639 |
8.7191 |
-0.6530 |
0.4012 |
0.7664 |
|
COPERNICUS |
1 C |
19.0648 |
0.7394 |
0.7613 |
0.0219 |
2.9664 |
3.1904 |
-0.3015 |
0.1674 |
0.3449 |
|
COPERNICUS |
2 C |
19.0854 |
0.7394 |
0.7558 |
0.0164 |
2.2191 |
2.6750 |
-0.3012 |
0.1674 |
0.3446 |
|
PLATO |
1 C |
19.1214 |
0.7396 |
0.7519 |
0.0123 |
1.6664 |
15.2700 |
-0.0756 |
0.7808 |
0.7845 |
|
PLATO |
2 C |
19.1342 |
0.7396 |
0.7538 |
0.0142 |
1.9144 |
15.1284 |
-0.0755 |
0.7808 |
0.7845 |
|
TYCHO |
1 C |
19.2418 |
0.7395 |
0.7673 |
0.0279 |
3.7693 |
-17.7640 |
-0.1123 |
-0.6854 |
0.6945 |
|
TYCHO |
2 C |
19.2614 |
0.7394 |
0.7404 |
0.0009 |
0.1257 |
-18.6861 |
-0.1121 |
-0.6854 |
0.6945 |
|
DIONYSIUS |
1 C |
19.2842 |
0.7395 |
0.7508 |
0.0113 |
1.5221 |
1.7772 |
0.3347 |
0.0478 |
0.3381 |
|
DIONYSIUS |
2 C |
19.2920 |
0.7395 |
0.7426 |
0.0031 |
0.4180 |
1.9711 |
0.3347 |
0.0478 |
0.3381 |
NUMBER OF OBSERVATIONS 12
MEAN % E FOR TIMINGS 1.7791,
STANDARD DEVIATION 1.0318,
MEAN ERROR 0.298
EMERSION TIMINGS
|
FEATURE |
TYPE |
TIME (UT) |
Rc |
Ro |
Ro - Rc |
E % |
PSI(+N/-S) |
X |
Y |
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
ARISTARCHUS |
3 C |
21.2917 |
0.7393 |
0.7458 |
0.0065 |
0.8822 |
36.9161 |
-0.6384 |
0.4012 |
0.7540 |
|
ARISTARCHUS |
4 C |
21.3008 |
0.7393 |
0.7591 |
0.0199 |
2.6862 |
36.7655 |
-0.6383 |
0.4012 |
0.7539 |
|
COPERNICUS |
4 C |
21.3722 |
0.7386 |
0.7668 |
0.0282 |
3.8128 |
42.6407 |
-0.2806 |
0.1674 |
0.3267 |
|
PLATO |
3 C |
21.4839 |
0.7397 |
0.7572 |
0.0175 |
2.3676 |
30.4225 |
-0.0613 |
0.7808 |
0.7832 |
|
PLATO |
4 C |
21.4959 |
0.7397 |
0.7544 |
0.0147 |
1.9826 |
30.2930 |
-0.0612 |
0.7808 |
0.7832 |
|
TYCHO |
3 C |
21.2315 |
0.7378 |
0.7412 |
0.0035 |
0.4701 |
-64.2899 |
-0.0996 |
-0.6854 |
0.6926 |
|
TYCHO |
4 C |
21.2509 |
0.7378 |
0.7660 |
0.0282 |
3.8221 |
-63.3821 |
-0.0994 |
-0.6854 |
0.6926 |
|
DIONYSIUS |
3 C |
21.5149 |
0.7385 |
0.7546 |
0.0162 |
2.1873 |
47.2451 |
0.3544 |
0.0478 |
0.3577 |
|
DIONYSIUS |
4 C |
21.5234 |
0.7385 |
0.7585 |
0.0200 |
2.7078 |
47.0211 |
0.3546 |
0.0478 |
0.3578 |
NUMBER OF OBSERVATIONS 9
MEAN % E FOR TIMINGS 2.3243,
STANDARD DEVIATION 1.1397,
MEAN ERROR 0.380,
OBSERVER NEVILLE YOUNG GROUP
NUMBER OF TIMINGS SUBMITTED 6
IMMERSION TIMINGS
|
FEATURE |
TYPE |
TIME (UT) |
Rc |
Ro |
Ro - Rc |
E % |
PSI(+N/-S) |
X |
Y |
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
TYCHO |
1 C |
19.2445 |
0.7395 |
0.7641 |
0.0246 |
3.3286 |
-17.9755 |
-0.1122 |
-0.6854 |
0.6945 |
NUMBER OF OBSERVATIONS 1
MEAN % E FOR TIMINGS 3.3286,
STANDARD DEVIATION 0.0000,
MEAN ERROR 0.000
EMERSION TIMINGS
|
|
|
|
|
|
|
|
|
|
|
|
|
FEATURE |
TYPE |
TIME (UT) |
Rc |
Ro |
Ro - Rc |
E % |
PSI(+N/-S) |
X |
Y |
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
TYCHO |
2 C |
21.2415 |
0.7378 |
0.7484 |
0.0106 |
1.4391 |
-63.8080 |
-0.0995 |
-0.6854 |
0.6926 |
NUMBER OF OBSERVATIONS 1
MEAN % E FOR TIMINGS 1.4391,
STANDARD DEVIATION 0.0000,
MEAN ERROR 0.000,
OBSERVER TIM COOPER
NUMBER OF TIMINGS SUBMITTED 57
IMMERSION TIMINGS
|
FEATURE |
TYPE |
TIME (UT) |
Rc |
Ro |
Ro - Rc |
E % |
PSI(+N/-S) |
X |
Y |
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
FIRST CONTACT |
PRIMARY |
18.4730 |
0.7404 |
0.7603 |
0.0199 |
2.6899 |
5.2305 |
-0.9825 |
0.1864 |
1.0000 |
|
SECOND CONTACT |
PRIMARY |
19.5140 |
0.7406 |
0.7567 |
0.0162 |
2.1852 |
-17.5693 |
0.8356 |
-0.5493 |
1.0000 |
|
GRIMALDI |
1 C |
18.5136 |
0.7400 |
0.7510 |
0.0110 |
1.4826 |
-1.0164 |
-0.9115 |
-0.0911 |
0.9160 |
|
GRIMALDI |
2 C |
18.5247 |
0.7400 |
0.7590 |
0.0190 |
2.5654 |
-1.3660 |
-0.9114 |
-0.0911 |
0.9159 |
|
ARISTARCHUS |
1 C |
18.5610 |
0.7397 |
0.7583 |
0.0186 |
2.5172 |
8.9062 |
-0.6531 |
0.4012 |
0.7665 |
|
ARISTARCHUS |
2 C |
18.5647 |
0.7397 |
0.7569 |
0.0172 |
2.3285 |
8.7987 |
-0.6530 |
0.4012 |
0.7664 |
|
HANSTEEN |
1 C |
18.5845 |
0.7397 |
0.7471 |
0.0074 |
0.9945 |
-4.3316 |
-0.7482 |
-0.2001 |
0.7745 |
|
HANSTEEN |
2 C |
18.5909 |
0.7397 |
0.7492 |
0.0095 |
1.2815 |
-4.4656 |
-0.7482 |
-0.2001 |
0.7745 |
|
KEPLER |
1 C |
18.5930 |
0.7395 |
0.7594 |
0.0198 |
2.6818 |
3.1753 |
-0.5801 |
0.1400 |
0.5968 |
|
KEPLER |
2 C |
18.5955 |
0.7395 |
0.7596 |
0.0201 |
2.7123 |
3.0740 |
-0.5801 |
0.1400 |
0.5967 |
|
GASSENDI |
1 C |
19.0313 |
0.7396 |
0.7565 |
0.0169 |
2.2880 |
-6.5864 |
-0.5824 |
-0.3015 |
0.6558 |
|
GASSENDI |
2 C |
19.0455 |
0.7396 |
0.7579 |
0.0184 |
2.4840 |
-7.1956 |
-0.5822 |
-0.3015 |
0.6557 |
|
COPERNICUS |
1 C |
19.0642 |
0.7394 |
0.7622 |
0.0228 |
3.0882 |
3.2143 |
-0.3015 |
0.1674 |
0.3449 |
|
COPERNICUS |
2 C |
19.0830 |
0.7394 |
0.7594 |
0.0200 |
2.7042 |
2.7751 |
-0.3012 |
0.1674 |
0.3446 |
|
PLATO |
1 C |
19.1155 |
0.7396 |
0.7549 |
0.0153 |
2.0726 |
15.2999 |
-0.0757 |
0.7808 |
0.7845 |
|
PLATO |
2 C |
19.1320 |
0.7396 |
0.7573 |
0.0176 |
2.3841 |
15.1643 |
-0.0755 |
0.7808 |
0.7845 |
|
PITATUS |
2 C |
19.2030 |
0.7394 |
0.7429 |
0.0035 |
0.4744 |
-13.3359 |
-0.1684 |
-0.4979 |
0.5256 |
|
EUDOXUS |
1 C |
19.2110 |
0.7396 |
0.7640 |
0.0243 |
3.2869 |
12.7258 |
0.2288 |
0.6964 |
0.7330 |
|
EUDOXUS |
2 C |
19.2155 |
0.7396 |
0.7466 |
0.0070 |
0.9398 |
12.6300 |
0.2289 |
0.6964 |
0.7331 |
|
TYCHO |
1 C |
19.2405 |
0.7395 |
0.7689 |
0.0294 |
3.9822 |
-17.6627 |
-0.1123 |
-0.6854 |
0.6945 |
|
TYCHO |
2 C |
19.2605 |
0.7395 |
0.7415 |
0.0020 |
0.2705 |
-18.6133 |
-0.1121 |
-0.6854 |
0.6945 |
|
VITRUVIUS |
1 C |
19.3130 |
0.7397 |
0.7598 |
0.0201 |
2.7161 |
3.5633 |
0.5275 |
0.3015 |
0.6076 |
|
VITRUVIUS |
2 C |
19.3150 |
0.7397 |
0.7527 |
0.0130 |
1.7586 |
3.4835 |
0.5275 |
0.3015 |
0.6076 |
|
PROCLUS |
1 C |
19.3740 |
0.7399 |
0.7589 |
0.0189 |
2.5588 |
2.4576 |
0.7290 |
0.2766 |
0.7797 |
|
PROCLUS |
2 C |
19.3805 |
0.7399 |
0.7518 |
0.0118 |
1.5989 |
2.3521 |
0.7290 |
0.2766 |
0.7797 |
|
GOCLENIUS |
1 C |
19.4210 |
0.7398 |
0.7600 |
0.0201 |
2.7205 |
-7.8153 |
0.7260 |
-0.1744 |
0.7466 |
|
GOCLENIUS |
2 C |
19.4242 |
0.7398 |
0.7478 |
0.0080 |
1.0788 |
-8.0133 |
0.7260 |
-0.1744 |
0.7467 |
NUMBER OF OBSERVATIONS 27
MEAN % E FOR TIMINGS 2.1424,
STANDARD DEVIATION 0.8774,
MEAN ERROR 0.169
EMERSION TIMINGS
|
FEATURE |
TYPE |
TIME (UT) |
Rc |
Ro |
Ro - Rc |
E % |
PSI(+N/-S) |
X |
Y |
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
THIRD CONTACT |
PRIMARY |
21.0825 |
0.7386 |
0.7546 |
0.0161 |
2.1732 |
-63.4408 |
-0.6676 |
-0.7445 |
1.0000 |
|
FOURTH CONTACT |
PRIMARY |
22.1210 |
0.7402 |
0.7547 |
0.0145 |
1.9596 |
40.5218 |
0.9075 |
0.4201 |
1.0000 |
|
GRIMALDI |
4 C |
21.1556 |
0.7390 |
0.7613 |
0.0223 |
3.0158 |
-46.8920 |
-0.9027 |
-0.0911 |
0.9073 |
|
ARISTARCHUS |
3 C |
21.2930 |
0.7393 |
0.7478 |
0.0085 |
1.1536 |
36.8774 |
-0.6384 |
0.4012 |
0.7540 |
|
ARISTARCHUS |
4 C |
21.3005 |
0.7393 |
0.7587 |
0.0194 |
2.6237 |
36.7742 |
-0.6383 |
0.4012 |
0.7539 |
|
HANSTEEN |
3 C |
21.1815 |
0.7385 |
0.7468 |
0.0083 |
1.1228 |
-49.9533 |
-0.7350 |
-0.2001 |
0.7618 |
|
HANSTEEN |
4 C |
21.1830 |
0.7386 |
0.7538 |
0.0152 |
2.0605 |
-49.8699 |
-0.7350 |
-0.2001 |
0.7618 |
|
KEPLER |
3 C |
21.2810 |
0.7388 |
0.7464 |
0.0076 |
1.0279 |
42.7792 |
-0.5624 |
0.1400 |
0.5795 |
|
KEPLER |
4 C |
21.2845 |
0.7388 |
0.7561 |
0.0173 |
2.3447 |
42.6341 |
-0.5623 |
0.1400 |
0.5795 |
|
COPERNICUS |
3 C |
21.3600 |
0.7386 |
0.7405 |
0.0019 |
0.2566 |
42.9810 |
-0.2807 |
0.1674 |
0.3269 |
|
COPERNICUS |
4 C |
21.3715 |
0.7386 |
0.7658 |
0.0271 |
3.6712 |
42.6693 |
-0.2806 |
0.1674 |
0.3267 |
|
PLATO |
3 C |
21.4823 |
0.7397 |
0.7547 |
0.0150 |
2.0258 |
30.4486 |
-0.0613 |
0.7808 |
0.7832 |
|
PLATO |
4 C |
21.4950 |
0.7397 |
0.7528 |
0.0131 |
1.7692 |
30.3087 |
-0.0612 |
0.7808 |
0.7832 |
|
PITATUS |
3 C |
21.2650 |
0.7379 |
0.7406 |
0.0027 |
0.3691 |
-59.1146 |
-0.1525 |
-0.4980 |
0.5208 |
|
PITATUS |
4 C |
21.2810 |
0.7379 |
0.7632 |
0.0253 |
3.4259 |
-58.5428 |
-0.1524 |
-0.4980 |
0.5208 |
|
TYCHO |
3 C |
21.2250 |
0.7378 |
0.7383 |
0.0005 |
0.0685 |
-64.4934 |
-0.0997 |
-0.6854 |
0.6926 |
|
TYCHO |
4 C |
21.2430 |
0.7378 |
0.7613 |
0.0235 |
3.1846 |
-63.6890 |
-0.0995 |
-0.6854 |
0.6926 |
|
PROCLUS |
3 C |
22.0530 |
0.7392 |
0.7533 |
0.0141 |
1.9143 |
43.2709 |
0.7424 |
0.2766 |
0.7923 |
|
PROCLUS |
4 C |
22.0545 |
0.7392 |
0.7527 |
0.0135 |
1.8300 |
43.2071 |
0.7425 |
0.2766 |
0.7923 |
|
GOCLENIUS |
3 C |
21.5725 |
0.7385 |
0.7544 |
0.0159 |
2.1465 |
-53.6977 |
0.7391 |
-0.1744 |
0.7594 |
|
GOCLENIUS |
4 C |
21.5757 |
0.7385 |
0.7489 |
0.0104 |
1.4101 |
-53.4982 |
0.7391 |
-0.1744 |
0.7594 |
|
SCHICKARD |
3 C |
21.1109 |
0.7381 |
0.7384 |
0.0003 |
0.0452 |
-63.2025 |
-0.5580 |
-0.7002 |
0.8954 |
|
SCHICKARD |
4 C |
21.1223 |
0.7381 |
0.7616 |
0.0235 |
3.1840 |
-62.6209 |
-0.5580 |
-0.7002 |
0.8953 |
|
PYTHEAS |
3 C |
21.3845 |
0.7389 |
0.7487 |
0.0098 |
1.3231 |
38.9679 |
-0.2758 |
0.3492 |
0.4450 |
|
PYTHEAS |
4 C |
21.3859 |
0.7389 |
0.7539 |
0.0150 |
2.0329 |
38.9172 |
-0.2758 |
0.3492 |
0.4449 |
|
DAWES |
4 C |
21.5915 |
0.7389 |
0.7564 |
0.0175 |
2.3629 |
41.9904 |
0.4769 |
0.2947 |
0.5606 |
NUMBER OF OBSERVATIONS 26
MEAN % E FOR TIMINGS 1.8655,
STANDARD DEVIATION 1.0093,
MEAN ERROR 0.198,
OBSERVER HELIO C. VITAL
NUMBER OF TIMINGS SUBMITTED 5
EMERSION TIMINGS
|
FEATURE |
TYPE |
TIME (UT) |
Rc |
Ro |
Ro - Rc |
E % |
PSI(+N/-S) |
X |
Y |
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
TYCHO |
MID |
21.2406 |
0.7378 |
0.7529 |
0.0151 |
2.0435 |
-63.8797 |
-0.0995 |
-0.6854 |
0.6926 |
|
KEPLER |
MID |
21.2900 |
0.7388 |
0.7561 |
0.0173 |
2.3445 |
42.5725 |
-0.5623 |
0.1400 |
0.5794 |
|
ARISTARCHUS |
MID |
21.3001 |
0.7393 |
0.7553 |
0.0160 |
2.1709 |
36.7859 |
-0.6384 |
0.4012 |
0.7539 |
|
COPERNICUS |
MID |
21.3654 |
0.7386 |
0.7556 |
0.0170 |
2.2974 |
42.7556 |
-0.2806 |
0.1674 |
0.3268 |
|
PYTHEAS |
MID |
21.3902 |
0.7389 |
0.7528 |
0.0139 |
1.8744 |
38.9105 |
-0.2758 |
0.3492 |
0.4449 |
NUMBER OF OBSERVATIONS 5
MEAN % E FOR TIMINGS 2.1461,
STANDARD DEVIATION 0.1918,
MEAN ERROR 0.086,
F & FM ARE 298.26, 220.488
DATE :05-12-2004
AT TIME 16:44:15
Legend
FEATURE
is a primary contact, a lunar crater or other feature timed
TYPE is the timing type the
four primaries as First Contact, Second Contact, Third Contact or Fourth
Contact, or MID mid-crater timing, 1 C first contact, 2 C second contact, 3 C
third contact or 4 C fourth contact (these last four contact timings refer to
the umbral contact with the crater edges)
TIME
of the observation in hours.minutes seconds (eg 12.3645) in Universal Time
Rc is the computed radius
of the umbral shadow at contact from the umbral centre in units of the earth's
equatorial radius
Ro is the observed radius
of the umbral shadow at contact from the umbral centre in units of the earth's equatorial radius
Ro
ñ Rc is the difference in the two radii in units of the earth's equatorial
radius
E% is the computed
enlargement of the umbra ((Ro-Rc)/Rc) X 100%, should be near to 2.0%, if the
result is greater than 4% it is rejected by the analysis program
PSI is the position angle
of the timed feature on the umbra, from North through East in decimal degrees
X is the computed
x-coordinate of the contact point of the timed feature from the centre of the
Moon in decimal degrees
Y is the
computed y-coordinate of the contact point of the timed feature from the centre
of the Moon in decimal degrees
R is the
computed radius of the contact point of the timed feature from the centre of
the Moon in units of the Moon's semi-diameter (at primary contacts R = 1).