THE DARIAN SYSTEM

Abstract

Figures and Tables

1.0 The Darian Calendar for Mars

1.1 Introduction

1.2 Years

1.2.1 An Extended Intercalation Scheme

1.3 Months and Seasons

1.4 Weeks

1.4.1 The Martiana Calendar

1.5 The Telescopic Epoch

1.6 Darian-Gregorian Calendar Displays

1.7 Children and Collateral Relatives

2.0 The Calendars of Jupiter

2.1 Introduction

2.2 Circads

2.3 Years

2.4 Weeks

2.5 Months

2.6 Intercalation

2.7 Calibration

2.8 Variations on a Martian Theme

3.0 The Darian Calendar for Titan

3.1 Overview of the Darian Calendar System

3.2 Astronomical Cycles on Titan

3.3 Circads and Weeks

3.4 Months and Years

3.5 Intercalation

3.6 Calibration

4.0 Conclusion

5.0 References

Appendix 1: Intercalation Precision on Mars

Appendix 2: Perturbations of Mars

Appendix 3: Martian Daylight Time

THE DARIAN SYSTEM

Copyright 1986-2005 by Thomas Gangale

OPPOSITIONS OF MARS
(INFERIOR CONJUNCTIONS OF EARTH)

Gregorian Date UTC Julian Day Darian Date AMT Julian Sol
1610 October 19 02:19 2309391.597 000 Libra 14 15:09 570.631
1612 December 08 07:48 2310172.825 001 Vrishika 21 22:59 1330.957
1615 January 15 16:02 2310941.168 003 Capricornus 17 17:49 2078.743
1617 February 17 21:13 2311705.384 004 Kumbha 08 12:17 2822.511
1619 March 25 03:05 2312470.628 005 Aries 02 06:45 3567.281
1621 May 05 05:17 2313242.720 006 Taurus 28 17:10 4318.715
1623 July 04 08:32 2314032.856 007 Cancer 18 17:02 5087.710
1625 September 22 05:05 2314843.712 008 Virgo 27 20:54 5876.871
1627 November 21 14:29 2315634.103 009 Scorpius 17 02:46 6646.115
1630 January 01 14:16 2316406.094 011 Dhanus 15 10:50 7397.451
1632 February 05 17:49 2317171.242 012 Aquarius 07 03:03 8142.127
1634 March 10 23:41 2317935.487 013 Pisces 27 22:10 8885.923
1636 April 17 11:40 2318703.986 014 Mesha 22 20:40 9633.861
1638 June 07 17:14 2319485.218 015 Mithuna 04 04:34 10394.191
1640 August 21 22:53 2320291.453 016 Simha 07 20:31 11178.855
1642 November 01 05:30 2321092.729 017 Tula 08 16:36 11958.692
1644 December 17 12:39 2321870.027 019 Sagittarius 13 04:37 12715.192
1647 January 23 11:01 2322636.959 020 Makara 06 14:30 13461.605
1649 February 25 12:04 2323401.003 021 Kumbha 25 04:56 14205.206
1651 April 02 15:02 2324167.126 022 Aries 18 19:57 14950.831
1653 May 16 09:00 2324941.875 023 Rishabha 20 20:25 15704.851
1655 July 21 09:52 2325737.911 024 Karka 15 14:07 16479.588
1657 October 07 23:39 2326547.485 025 Kanya 24 12:03 17267.502
1659 December 01 23:57 2327332.498 026 Vrishika 07 12:16 18031.511
1662 January 09 18:45 2328102.281 028 Capricornus 04 16:45 18780.698
1664 February 13 07:22 2328866.807 029 Aquarius 24 18:27 19524.768
1666 March 19 00:16 2329631.511 030 Mina 17 00:18 20269.012
1668 April 27 07:57 2330401.831 031 Taurus 13 17:20 21018.722
1670 June 22 03:24 2331187.642 032 Mithuna 26 12:11 21783.508
1672 September 08 22:58 2331997.457 033 Virgo 07 15:44 22571.656
1674 November 13 04:17 2332792.678 034 Tula 28 14:25 23345.601
1676 December 26 07:15 2333566.802 036 Dhanus 02 00:17 24099.012
1679 January 31 03:16 2334332.636 037 Makara 23 08:32 24844.356
1681 March 05 04:34 2335096.690 038 Pisces 14 23:12 25587.967
1683 April 11 11:41 2335863.987 039 Mesha 09 17:37 26334.734
1685 May 28 12:47 2336642.033 040 Gemini 14 23:06 27091.963
1687 August 08 12:59 2337444.041 041 Leo 14 12:18 27872.513
1689 October 22 05:23 2338249.724 042 Libra 18 15:21 28656.639
1691 December 11 15:35 2339030.149 043 Vrishika 26 04:24 29416.183
1694 January 17 17:00 2339798.208 045 Capricornus 21 16:37 30163.693
1696 February 20 21:14 2340562.385 046 Kumbha 12 10:08 30907.423
1698 March 27 06:25 2341327.767 047 Aries 06 07:51 31652.327
1700 May 08 19:36 2342100.317 048 Rishabha 05 04:57 32404.206
1702 July 09 00:58 2342891.540 049 Cancer 24 06:15 33174.260
1704 September 26 21:51 2343702.410 050 Kanya 05 10:26 33963.435
1706 November 25 05:32 2344491.731 051 Scorpius 20 15:16 34731.636
1709 January 04 17:35 2345263.231 053 Dhanus 19 11:52 35482.494
1711 February 08 17:32 2346028.231 054 Aquarius 11 00:38 36227.026
1713 March 14 01:14 2346792.551 055 Mina 03 21:32 36970.897
1715 April 21 20:55 2347561.372 056 Mesha 27 03:31 37719.147
1717 June 11 21:03 2348343.377 057 Mithuna 09 05:30 38480.229
1719 August 27 22:35 2349150.441 058 Simha 13 16:47 39265.700
1721 November 05 02:34 2349950.607 059 Tula 13 10:57 40044.457
1723 December 21 18:44 2350727.281 061 Sagittarius 16 08:24 40800.350
1726 January 26 11:40 2351493.986 062 Makara 09 13:00 41546.542
1728 February 29 11:57 2352257.998 063 Pisces 02 02:41 42290.112
1730 April 05 19:32 2353024.314 064 Aries 22 22:11 43035.924
1732 May 20 03:39 2353799.652 065 Rishabha 25 12:26 43790.518
1734 July 26 08:37 2354596.859 066 Karka 21 09:29 44566.395
1736 October 12 08:37 2355405.859 067 Libra 01 17:59 45353.750
1738 December 05 10:01 2356189.917 068 Vrishika 11 20:00 46116.830
1741 January 12 20:08 2356959.339 070 Capricornus 08 15:58 46865.665
1743 February 16 07:10 2357723.799 071 Aquarius 27 16:06 47609.671
1745 March 22 02:30 2358488.604 072 Mina 20 00:20 48354.014
1747 May 01 18:58 2359259.290 073 Taurus 18 01:55 49104.080
1749 June 26 13:45 2360046.073 074 Cancer 03 19:28 49869.811
1751 September 14 20:19 2360856.347 075 Virgo 13 09:44 50658.405
1753 November 16 22:20 2361650.431 076 Scorpius 05 05:50 51431.243
1755 December 30 12:05 2362424.003 078 Dhanus 06 02:51 52184.119
1758 February 03 03:20 2363189.639 079 Makara 27 06:27 52929.269
1760 March 08 05:36 2363953.733 080 Pisces 18 22:04 53672.919
1762 April 14 19:28 2364721.311 081 Mesha 12 23:03 54419.960
1764 June 01 12:50 2365500.035 082 Gemini 18 20:22 55177.848
1766 August 13 13:44 2366303.072 083 Leo 20 09:36 55959.400
1768 October 26 07:32 2367107.814 084 Libra 23 14:37 56742.610
1770 December 14 23:19 2367887.472 086 Sagittarius 02 09:47 57501.408
1773 January 20 18:03 2368655.252 087 Capricornus 25 15:30 58248.646
1775 February 23 20:57 2369419.373 088 Kumbha 16 07:44 58992.322
1777 March 30 09:17 2370184.887 089 Aries 10 08:30 59737.354
1779 May 12 10:09 2370957.923 090 Rishabha 09 16:58 60489.707
1781 July 12 18:49 2371750.284 091 Cancer 28 20:50 61260.868
1783 October 01 12:00 2372561.000 092 Kanya 09 21:25 62049.893
1785 November 27 18:02 2373349.251 093 Scorpius 25 01:18 62817.054
1788 January 07 19:56 2374120.331 095 Dhanus 23 12:03 63567.502
1790 February 10 17:15 2374885.219 096 Aquarius 14 22:12 64311.925
1792 March 16 02:51 2375649.619 097 Mina 07 20:57 65055.873
1794 April 24 06:03 2376418.752 098 Taurus 03 10:16 65804.428
1796 June 15 02:15 2377201.594 099 Mithuna 14 07:47 66566.324
1798 August 31 23:48 2378009.492 100 Simha 19 14:33 67352.606
1800 November 09 00:55 2378808.538 101 Tula 18 06:34 68130.274
1802 December 25 01:03 2379584.544 103 Sagittarius 21 12:24 68885.517
1805 January 29 11:59 2380350.999 104 Makara 14 11:10 69631.465
1807 March 04 12:25 2381115.017 105 Pisces 07 00:59 70375.041
1809 April 09 01:10 2381881.549 106 Aries 28 01:31 71121.063
1811 May 24 23:16 2382657.469 107 Gemini 04 05:22 71876.224
1813 July 31 06:58 2383455.790 108 Karka 28 04:27 72653.185
1815 October 17 15:12 2384264.133 109 Libra 07 21:37 73439.900
1817 December 08 19:23 2385047.308 110 Vrishika 17 02:53 74202.120
1820 January 16 21:55 2385816.413 112 Capricornus 12 15:33 74950.648
1822 February 19 06:42 2386580.779 113 Kumbha 04 13:30 75694.563
1824 March 25 04:24 2387345.683 114 Mina 25 00:02 76439.001
1826 May 05 06:53 2388116.787 115 Taurus 23 11:22 77189.473
1828 July 01 02:16 2388904.594 116 Cancer 10 04:52 77956.203
1830 September 19 16:21 2389715.181 117 Virgo 20 02:26 78745.102
1832 November 20 14:33 2390508.106 118 Scorpius 10 19:28 79516.811
1835 January 02 15:22 2391281.140 120 Dhanus 11 03:54 80269.162
1837 February 06 02:56 2392046.622 121 Aquarius 03 03:55 81014.163
1839 March 12 06:34 2392847.587 122 Aries 02 16:44 81793.698
1841 April 18 02:05 2393578.587 123 Mesha 18 03:20 82505.139
1843 June 06 12:26 2394358.018 124 Gemini 24 17:11 83263.716
1845 August 18 15:17 2395162.137 125 Leo 27 07:41 84046.320
1847 October 31 09:25 2395965.892 126 Tula 01 13:42 84828.571
1849 December 18 07:03 2396744.794 128 Sagittarius 07 15:10 85586.632
1852 January 24 18:56 2397512.289 129 Makara 02 14:13 86333.592
1854 February 26 20:42 2398276.363 130 Kumbha 21 05:20 7077.223
1856 April 02 13:30 2399042.063 131 Aries 14 10:27 87822.436
1858 May 16 02:51 2399815.619 132 Rishabha 14 07:05 88575.295
1860 July 17 13:18 2400609.054 133 Karka 07 12:02 89347.501
1862 October 06 00:30 2401419.521 124 Kanya 16 06:48 90136.283
1864 December 01 06:14 2402206.760 135 Vrishika 02 11:01 90902.459
1867 January 10 22:25 2402977.434 137 Dhanus 28 12:20 91652.514
1869 February 13 16:46 2403742.199 138 Aquarius 19 19:36 92396.816
1871 March 20 03:57 2404506.665 139 Mina 12 19:53 93140.829
1873 April 27 14:46 2405276.115 140 Taurus 08 16:36 93889.692
1875 June 20 08:34 2406059.857 141 Mithuna 19 11:08 94652.464
1877 September 05 23:43 2406868.488 142 Simha 25 11:02 95439.460
1879 November 12 20:11 2407666.341 143 Tula 22 23:10 96215.966
1881 December 27 05:20 2408441.722 145 Sagittarius 25 14:25 96970.601
1884 February 01 11:44 2409207.989 146 Makara 18 08:46 97716.366
1886 March 06 12:31 2409972.022 147 Pisces 10 22:57 98459.956
1888 April 11 06:16 2410738.761 148 Mesha 04 04:21 99206.181
1890 May 27 19:06 2411515.296 149 Gemini 08 22:32 99961.939
1892 August 04 06:14 2412314.760 150 Leo 06 00:18 100740.013
1894 October 20 22:16 2413122.428 151 Libra 12 01:42 101526.071
1896 December 11 05:42 2413904.738 152 Vrishika 20 10:47 102287.449
1899 January 18 23:32 2414673.481 154 Capricornus 16 14:59 103035.624
1901 February 22 06:11 2415437.758 155 Kumbha 08 10:52 103779.452
1903 March 29 07:31 2416202.813 156 Aries 01 00:55 104524.038
1905 May 08 20:07 2416974.338 157 Taurus 27 22:05 105274.921
1907 July 06 15:28 2417763.144 158 Cancer 15 14:56 106042.622
1909 September 24 10:09 2418573.923 159 Virgo 25 16:59 106831.707
1911 November 25 04:59 2419365.708 160 Scorpius 15 07:23 107602.307
1914 January 05 18:35 2420138.274 162 Dhanus 14 04:53 108354.204
1916 February 10 02:39 2420903.610 163 Aquarius 07 01:30 109099.063
1918 March 15 06:44 2421667.781 164 Pisces 26 18:53 109842.787
1920 April 21 08:43 2422435.863 165 Mesha 22 07:39 110590.319
1922 June 10 14:10 2423216.090 166 Mithuna 01 16:05 111349.670
1924 August 23 17:02 2424021.210 167 Simha 05 05:58 112133.248
1926 November 04 09:30 2424823.896 168 Tula 06 10:59 112914.458
1928 December 21 13:35 2425602.066 170 Sagittarius 11 19:23 113671.808
1931 January 27 19:06 2426369.296 171 Makara 05 12:14 114418.510
1933 March 01 20:28 2427133.353 172 Kumbha 24 02:58 115162.124
1935 April 06 17:34 2427899.232 173 Aries 18 12:16 115907.511
1937 May 19 18:37 2428673.276 174 Rishabha 18 20:17 116660.845
1939 July 23 08:03 2429467.835 175 Karka 13 03:30 117434.146
1941 October 10 12:47 2430278.033 176 Kanya 21 15:58 118222.665
1943 December 05 18:31 2431064.272 177 Vrishika 06 20:50 118987.868
1946 January 14 00:52 2431834.536 179 Capricornus 04 12:34 119737.524
1948 February 17 16:16 2432599.178 180 Aquarius 23 16:58 120481.707
1950 March 23 05:44 2433363.739 181 Mina 15 19:29 121225.812
1952 May 01 01:31 2434133.563 182 Taurus 12 00:56 121975.039
1954 June 24 17:21 2434918.223 183 Mithuna 24 16:54 122738.704
1956 September 10 21:58 2435727.415 184 Virgo 04 05:54 123526.246
1958 November 16 14:32 2436524.106 185 Tula 27 14:53 124301.620
1960 December 30 10:21 2437298.931 187 Dhanus 01 17:10 125055.715
1963 February 04 11:57 2438064.998 188 Makara 22 06:50 125801.285
1965 March 09 12:29 2438829.020 189 Pisces 14 20:46 126544.865
1967 April 15 11:30 2439595.979 190 Mesha 08 07:17 127291.304
1969 May 31 15:50 2440373.160 191 Gemini 12 16:34 128047.690
1971 August 10 06:53 2441173.787 192 Leo 10 21:30 128826.896
1973 October 25 03:27 2441980.644 193 Libra 17 03:58 129612.165
1975 December 15 13:58 2442762.082 194 Vrishika 24 16:41 130372.695
1978 January 22 00:11 2443530.549 196 Capricornus 20 14:27 131120.602
1980 February 25 05:43 2444294.738 197 Kumbha 12 08:16 131864.344
1982 March 31 10:13 2445059.926 198 Aries 05 01:24 132609.059
1984 May 11 08:52 445832.286 199 Rishabha 04 18:06 133360.754
1986 July 10 05:28 2446621.728 200 Cancer 21 01:46 134129.074
1988 September 28 03:31 2447432.647 201 Kanya 03 07:06 134918.296
1990 November 27 20:33 2448223.356 202 Scorpius 19 20:23 135687.849
1993 January 07 22:42 2448995.446 204 Dhanus 19 06:45 136439.281
1995 February 12 02:31 2449760.605 205 Aquarius 11 23:14 137183.968
1997 March 17 07:55 2450524.830 206 Mina 03 17:53 137927.745
1999 April 24 17:37 2451293.234 207 Mesha 27 14:10 138675.590
2001 June 13 17:46 2452074.240 208 Mithuna 07 16:48 139435.700
2003 August 28 17:59 2452880.249 209 Simha 12 03:27 140220.144
2005 November 07 07:57 2453681.831 210 Tula 12 06:42 141000.279
2007 December 24 19:47 2454459.324 212 Sagittarius 15 23:16 141756.970
2010 January 29 19:43 2455226.322 213 Makara 10 10:41 142503.445
2012 March 03 20:10 2455990.340 214 Pisces 02 00:32 143247.022
2014 April 08 21:03 2456756.377 215 Aries 23 13:31 143992.563
2016 May 22 11:17 2457530.970 216 Rishabha 24 10:21 144746.431
2018 July 27 05:13 2458326.717 217 Karka 19 21:19 145520.888
2020 October 13 23:26 2459136.476 218 Kanya 27 23:33 146308.981
2022 December 08 05:41 2459921.737 219 Vrishika 12 05:33 147073.232
2025 January 16 02:38 2460691.610 221 Capricornus 08 12:09 147822.506
2027 February 19 15:51 2461456.160 222 Aquarius 27 14:25 148566.601
2029 March 25 07:49 2462220.826 223 Mina 20 19:22 149310.807
2031 May 04 12:03 2462991.002 224 Taurus 17 09:02 150060.376
2033 June 28 01:29 2463776.562 225 Cancer 02 22:02 150824.918
2035 September 15 19:38 2464586.318 226 Virgo 11 00:12 151613.009
2037 November 19 09:09 2465381.881 227 Scorpius 05 06:52 152387.286
2040 January 02 15:27 2466156.144 229 Dhanus 06 19:59 153140.833
2042 February 06 12:04 2466922.003 230 Makara 27 04:49 153886.200
2044 March 11 12:50 2467686.035 231 Pisces 18 18:58 154629.790
2046 April 17 18:06 2468453.254 232 Mesha 12 11:34 155376.482
2048 June 03 14:50 2469231.118 233 Gemini 18 12:49 156133.534
2050 August 14 07:51 2470032.827 234 Leo 17 19:01 156913.792
2052 October 28 06:33 2470838.773 235 Libra 23 04:11 157698.175
2054 December 17 22:14 2471619.426 237 Sagittarius 02 22:35 158457.941
2057 January 24 01:31 2472387.563 238 Capricornus 25 12:37 159205.526
2059 February 27 05:30 2473151.729 239 Kumbha 17 05:54 159949.246
2061 April 02 12:52 2473917.036 240 Aries 10 01:50 160694.077
2063 May 14 22:20 2474689.431 241 Rishabha 08 19:20 161445.805
2065 July 13 21:02 2475480.376 242 Cancer 26 14:08 162215.589
2067 October 02 19:54 2476291.329 243 Kanya 08 20:15 163004.844
2069 November 30 10:19 2477080.930 244 Scorpius 24 07:38 163773.318
2072 January 11 01:03 2477852.544 246 Dhanus 23 06:53 164524.287
2074 February 14 01:57 2478617.581 247 Aquarius 15 20:32 165268.855
2076 March 19 08:54 2479381.871 248 Mina 07 16:42 166012.696
2078 April 27 01:37 2480150.567 249 Taurus 03 19:49 166760.825
2080 June 16 20:26 2480932.351 250 Mithuna 12 16:37 167521.692
2082 September 01 17:38 2481739.235 251 Simha 16 23:41 168306.987
2084 November 10 06:06 2482539.754 252 Tula 16 02:07 169086.088
2086 December 27 02:36 2483316.608 254 Sagittarius 20 03:46 169842.157
2089 January 31 20:21 2484083.348 255 Makara 14 09:10 170588.382
2091 March 06 20:13 2484847.342 256 Pisces 05 22:26 171331.935
2093 April 11 02:19 2485613.597 257 Aries 27 16:30 172077.687
2095 May 26 06:25 2486388.767 258 Gemini 02 02:50 172832.118
2097 July 31 03:37 2487185.651 259 Karka 25 16:19 173607.680
2099 October 18 08:05 2487994.837 260 Libra 05 05:11 174395.216