ANALYSES OF REA`S TIMINGS OF THE
TOTAL LUNAR ECLIPSE OF FEBRUARY 20-21, 2008
|
IMMERSIONS |
|||||||
|
LIMB
OR MID-CRATER |
Φ |
RC |
RO |
FU |
Fπ |
||
|
U1 |
3.02 |
0.6859 |
0.6938 |
1.146 |
0.825 |
||
|
RICCIOLI |
-4.80 |
0.6867 |
0.6990 |
1.777 |
1.280 |
||
|
GRIMALDI |
-5.95 |
0.6872 |
0.6968 |
1.405 |
1.012 |
||
|
ARISTARCHUS |
5.32 |
0.6884 |
0.7036 |
2.205 |
1.589 |
||
|
PYTHEAS |
3.32 |
0.6896 |
0.7070 |
2.526 |
1.821 |
||
|
COPERNICUS |
-0.90 |
0.6898 |
0.7059 |
2.331 |
1.680 |
||
|
TIMOCHARIS |
5.11 |
0.6896 |
0.7041 |
2.100 |
1.514 |
||
|
PLATO |
12.06 |
0.6884 |
0.7005 |
1.758 |
1.266 |
||
|
ARISTOTELES |
11.02 |
0.6884 |
0.7045 |
2.328 |
1.677 |
||
|
EUDOXUS |
9.37 |
0.6888 |
0.7005 |
1.694 |
1.221 |
||
|
MANILIUS |
-0.50 |
0.6900 |
0.7050 |
2.174 |
1.567 |
||
|
MENELAUS |
-0.08 |
0.6899 |
0.7062 |
2.366 |
1.706 |
||
|
POSIDONIUS |
5.06 |
0.6891 |
0.7049 |
2.291 |
1.651 |
||
|
DIONYSIUS |
-5.96 |
0.6900 |
0.7013 |
1.634 |
1.178 |
||
|
PLINIUS |
-0.88 |
0.6897 |
0.7046 |
2.152 |
1.552 |
||
|
TYCHO |
-25.44 |
0.6882 |
0.7001 |
1.736 |
1.251 |
||
|
PROCLUS |
-1.73 |
0.6888 |
0.7010 |
1.769 |
1.275 |
||
|
TARUNTIUS |
-5.98 |
0.6889 |
0.7048 |
2.308 |
1.663 |
||
|
GOGLENIUS |
-13.33 |
0.6887 |
0.6985 |
1.412 |
1.018 |
||
|
LANGRENUS |
-13.42 |
0.6878 |
0.6990 |
1.623 |
1.169 |
||
|
STEVINUS A |
-24.57 |
0.6875 |
0.6916 |
0.594 |
0.428 |
||
|
U2 |
-33.83 |
0.6845 |
0.6968 |
1.803 |
1.297 |
||
|
EMERSIONS |
|||||||
|
LIMB
OR MID-CRATER |
Φ
(o) |
RC |
RO |
FU
(%) |
Fπ(%) |
||
|
U3 |
-87.08 |
0.6820 |
0.6966 |
2.133 |
1.532 |
||
|
RICCIOLI |
-58.22 |
0.6836 |
0.6960 |
1.818 |
1.307 |
||
|
TYCHO |
-79.12 |
0.6851 |
0.6959 |
1.576 |
1.134 |
||
|
ARISTARCHUS |
-48.09 |
0.6857 |
0.6996 |
2.029 |
1.460 |
||
|
TIMOCHARIS |
-48.31 |
0.6869 |
0.7002 |
1.946 |
1.401 |
||
|
LAPLACE |
-41.99 |
0.6861 |
0.7020 |
2.318 |
1.669 |
||
|
DIONYSIUS |
-59.44 |
0.6868 |
0.6974 |
1.546 |
1.113 |
||
|
CAMPANUS |
-70.87 |
0.6855 |
0.7011 |
2.276 |
1.638 |
||
|
MEAN
(38 immersions and 9 emersions) |
1.894 |
1.365 |
|||||
|
NOTATION |
|
|
Φ |
Umbral angle (relative to axis of umbra and
measured from the projection of the Equator
to point of contact such that +90o corresponds to the North pole
and -90o to the South pole) |
|
RC |
Calculated radius of umbra at contact, expressed in units of the Earth's
equatorial radius |
|
RO |
Observed radius of umbra at contact, expressed in units of the Earth's
equatorial radius |
|
FU |
Computed percent enlargement of umbra |
|
Fπ |
Equivalent percent
enlargement of the lunar parallax to account for enlargement of umbra |
Percent Enlargements of Umbra and Parallax for Oblateness (errors)
Values of 1/298.26 (geoid) and 1/214.03 (from Meeus` formula)
|
Model |
Immersions |
Emersions |
Total |
|
Umbra (1/298.26) |
1.890(0.064) |
1.913(0.101) |
1.894(0.055) |
|
Umbra (1/214.03) |
1.902(0.063) |
2.050(0.098) |
1.930(0.054) |
|
Parallax (1/298.26) |
1.362(0.046) |
1.377(0.073) |
1.365(0.040) |
|
Parallax (1/214.03) |
1.370(0.045) |
1.475(0.070) |
1.390(0.039) |