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This document is part of the Martian Time Boneyard. It was originally located at http://www-star.stanford.edu/~frankb/cal.html.
Author: Frank Bauregger
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THE MARTIAN CALENDAR
Explanation of the Martian Calendar
The Martian Calendar was created by first caclulating
the distance between Mars and the Sun for an entire Martian year. This distance
was determined for infinitesimal changes in heliocentric longitude of the Sun.
Then, using Kepler's Second Law which states that bodies in elliptical orbits
sweep out equal areas in equal time, I was able to determine the change in
heliocentric longitude per change in time. The required constant dA/dt is
readily calculated from Mars' orbital parameters. Integrating the infinitesimal
changes in angle over a given Martian day gives the change in heliocentric
longitude for that day. By setting the beginning of the first day of the year to
Ls = 0, we begin our year at the Spring Equinox. Then, the change in Ls for any
day is simply the summation of the infinitesimal changes in heliocentric
longitude over that day. This procedure was also performed for Earth's
orbit. The result provides Ls as a function of Mars and Earth days into the
year. Next, I took each month of Earth's calendar and determined the Ls
variation over that month. This Ls variation can be considered a finite change
in season. I then mapped this Ls variation into the Martian year to give an
equivalent number of Martian days associated with that change in season (Ls).
The end result is 12 Martian months which span the same "amount of seasonal
change" as the 12 Earth months. It is a hypothetical calendar which would
aid inhabitants of Mars who are already accustomed to the seasonal variations
associated with Earth's calendar system. Incidentally, just as Earth's year is
not exactly 365 days long, the Martian year is not exactly 668 days long, and a
leap year system is required to ensure the calendar remains aligned with the
seasons. Once you have looked at the Martian Calendar, take a look at the leap year system
which I have developed for Mars.
These important dates are marked in blue
| Spring Equinox |
March 38th |
| Summer Solstice |
June 43rd |
| Autumnal Equinox |
September 39th |
| Winter Solstice |
December 34th |
The calendar is based on a year which is 668 sols long.
JANUARY
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
| 8 |
9 |
10 |
11 |
12 |
13 |
14 |
| 15 |
16 |
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18 |
19 |
20 |
21 |
| 22 |
23 |
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25 |
26 |
27 |
28 |
| 29 |
30 |
31 |
32 |
33 |
34 |
35 |
| 36 |
37 |
38 |
39 |
40 |
41 |
42 |
| 43 |
44 |
45 |
46 |
47 |
48 |
49 |
| 50 |
51 |
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FEBRUARY
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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1 |
2 |
3 |
4 |
5 |
| 6 |
7 |
8 |
9 |
10 |
11 |
12 |
| 13 |
14 |
15 |
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| 20 |
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26 |
| 27 |
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29 |
30 |
31 |
32 |
33 |
| 34 |
35 |
36 |
37 |
38 |
39 |
40 |
| 41 |
42 |
43 |
44 |
45 |
46 |
47 |
| 48 |
49 |
50 |
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MARCH
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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1 |
2 |
3 |
4 |
| 5 |
6 |
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9 |
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11 |
| 12 |
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| 19 |
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25 |
| 26 |
27 |
28 |
29 |
30 |
31 |
32 |
| 33 |
34 |
35 |
36 |
37 |
38 |
39 |
| 40 |
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42 |
43 |
44 |
45 |
46 |
| 47 |
48 |
49 |
50 |
51 |
52 |
53 |
| 54 |
55 |
56 |
57 |
58 |
59 |
60 |
APRIL
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
| 8 |
9 |
10 |
11 |
12 |
13 |
14 |
| 15 |
16 |
17 |
18 |
19 |
20 |
21 |
| 22 |
23 |
24 |
25 |
26 |
27 |
28 |
| 29 |
30 |
31 |
32 |
33 |
34 |
35 |
| 36 |
37 |
38 |
39 |
40 |
41 |
42 |
| 43 |
44 |
45 |
46 |
47 |
48 |
49 |
| 50 |
51 |
52 |
53 |
54 |
55 |
56 |
| 57 |
58 |
59 |
60 |
61 |
62 |
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MAY
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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1 |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
| 9 |
10 |
11 |
12 |
13 |
14 |
15 |
| 16 |
17 |
18 |
19 |
20 |
21 |
22 |
| 23 |
24 |
25 |
26 |
27 |
28 |
29 |
| 30 |
31 |
32 |
33 |
34 |
35 |
36 |
| 37 |
38 |
39 |
40 |
41 |
42 |
43 |
| 44 |
45 |
46 |
47 |
48 |
49 |
50 |
| 51 |
52 |
53 |
54 |
55 |
56 |
57 |
| 58 |
59 |
60 |
61 |
62 |
63 |
64 |
| 65 |
66 |
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JUNE
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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1 |
2 |
3 |
4 |
5 |
| 6 |
7 |
8 |
9 |
10 |
11 |
12 |
| 13 |
14 |
15 |
16 |
17 |
18 |
19 |
| 20 |
21 |
22 |
23 |
24 |
25 |
26 |
| 27 |
28 |
29 |
30 |
31 |
32 |
33 |
| 34 |
35 |
36 |
37 |
38 |
39 |
40 |
| 41 |
42 |
43 |
44 |
45 |
46 |
47 |
| 48 |
49 |
50 |
51 |
52 |
53 |
54 |
| 55 |
56 |
57 |
58 |
59 |
60 |
61 |
| 62 |
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JULY
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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1 |
2 |
3 |
4 |
5 |
6 |
| 7 |
8 |
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12 |
13 |
| 14 |
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| 21 |
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| 28 |
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34 |
| 35 |
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| 42 |
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46 |
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48 |
| 49 |
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51 |
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54 |
55 |
| 56 |
57 |
58 |
59 |
60 |
61 |
62 |
| 63 |
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AUGUST
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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5 |
6 |
| 7 |
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| 14 |
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| 21 |
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| 28 |
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| 35 |
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| 42 |
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| 49 |
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| 56 |
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SEPTEMBER
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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2 |
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4 |
| 5 |
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| 12 |
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| 19 |
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| 26 |
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| 33 |
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38 |
39 |
| 40 |
41 |
42 |
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44 |
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46 |
| 47 |
48 |
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OCTOBER
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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1 |
2 |
3 |
| 4 |
5 |
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| 11 |
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| 18 |
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| 25 |
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| 32 |
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36 |
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38 |
| 39 |
40 |
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42 |
43 |
44 |
45 |
| 46 |
47 |
48 |
49 |
50 |
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NOVEMBER
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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| 17 |
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| 24 |
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| 31 |
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| 38 |
39 |
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| 45 |
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DECEMBER
| Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
Sat |
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1 |
2 |
3 |
4 |
| 5 |
6 |
7 |
8 |
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10 |
11 |
| 12 |
13 |
14 |
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18 |
| 19 |
20 |
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25 |
| 26 |
27 |
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31 |
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| 33 |
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39 |
| 40 |
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| 47 |
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Copyright 1996-98 F. N. Bauregger