Astronomical Algorithms - second edition - Jean Meeus - Chapter 54
Eclipses
Lunar eclipses
Designation | Result | Units |
Day number (Page 65) | day number | integer between 1 and total days in year |
Days in the given year (Page 62) | days in the given year | 365 (no leap year) or 366 (leap year) |
Day number / days in the given year | decimal value | decimal value smaller than or equal to 1 |
k (49.2) | k | value of k with decimals |
Modified k (Page 379) | rounded k | truncated k - 0.5 |
JDE (49.1) | JDE | JDE |
M (49.4) | M | degrees |
MA (49.5) | MA | degrees |
F (49.6) | F | degrees |
Gamma = least distance from the axis of the moon's shadow to the center of the earth (Page 381) | gamma | Earth's equatorial radius |
u = radius of the moon's umbral cone in the fundamental plane (the plane through the center of the earth and perpendicular to the axis of the moon's shadow)(Page 381) | u | Earth's equatorial radius |
Radii at the distance of the moon for the penumbra | ro penumbra | Earth's equatorial radius |
Radii at the distance of the moon for the umbra | sigma umbra | Earth's equatorial radius |
Magnitude penumbral eclipse (54.3) | magnitude penumbral eclipse | unitless |
Magnitude umbral eclipse (54.4) | magnitude umbral eclipse | unitless |
Is there a lunar eclipse? (Page 383) | lunar eclipse | text |
Location? | location | text |
Visibility | visibility | text |
p = | p | t = | t | h = | h | n = | n |
Semiduration of the partial_phase (Page 383) | semiduration of the partial phase | minutes |
Semiduration of the total phase (Page 383) | semiduration of the total phase | minutes |
Semiduration of penumbral phase (Page 383) | semiduration of penumbral phase | minutes |
Delta T for the given year | deltaT | dayfraction |
Correction to be added to the JDE (54.1) | correction | JDE fraction |
Final JDE for the maximum of the eclipse | final JDE for the maximum of the eclipse | JDE |
First contact with the penumbra | first contact with the penumbra | weekday/date/time (UT) |
First contact with the umbra | first contact with the umbra | weekday/date/time (UT) |
Beginning of total phase | beginning of total phase | weekday/date/time (UT) |
Maximum of the eclipse (in case there is an eclipse) | final gregorian date/time | weekday/date/time (UT) |
End of total phase | end of total phase | weekday/date/time (UT) |
Last contact with the umbra | last contact with the umbra | weekday/date/time (UT) |
Last contact with the penumbra | last contact with the penumbra | weekday/date/time (UT) |