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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
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THE DARIAN SYSTEM
Copyright © 1986-2005 by Thomas Gangale
VERNAL EQUINOXES OF MARS
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| Gregorian Date | | UTC | | Julian Day | | Darian Date | | AMT | | Julian Sol |
| 1874 May 25 | | 16:33 | | 2405668.690 | | 141 Sagittarius 01 | | 05:59 | | 94272.250 |
| 1876 April 11 | | 16:19 | | 2406355.680 | | 141 Vrishika 28 | | 20:36 | | 94940.859 |
| 1878 February 27 | | 16:04 | | 2407042.670 | | 143 Sagittarius 01 | | 11:13 | | 95609.468 |
| 1880 January 15 | | 15:23 | | 2407729.641 | | 144 Sagittarius 01 | | 01:24 | | 96278.058 |
| 1881 December 02 | | 14:51 | | 2408416.619 | | 145 Sagittarius 01 | | 15:44 | | 96946.656 |
| 1883 October 20 | | 13:52 | | 2409103.578 | | 146 Sagittarius 01 | | 05:38 | | 97615.235 |
| 1885 September 06 | | 12:28 | | 2409790.520 | | 147 Sagittarius 01 | | 19:08 | | 98283.797 |
| 1887 July 25 | | 12:04 | | 2410477.503 | | 148 Sagittarius 01 | | 09:35 | | 98952.400 |
| 1889 June 11 | | 11:45 | | 2411164.490 | | 149 Sagittarius 02 | | 00:08 | | 99621.006 |
| 1891 April 29 | | 10:42 | | 2411851.446 | | 150 Sagittarius 01 | | 13:57 | | 100289.582 |
| 1893 March 16 | | 09:56 | | 2412538.414 | | 151 Sagittarius 01 | | 04:03 | | 100958.169 |
| 1895 February 01 | | 09:46 | | 2413225.407 | | 151 Vrishika 28 | | 18:45 | | 101626.781 |
| 1896 December 19 | | 08:28 | | 2413912.353 | | 153 Sagittarius 01 | | 08:20 | | 102295.348 |
| 1898 November 06 | | 07:45 | | 2414599.323 | | 153 Vrishika 28 | | 22:29 | | 102963.937 |
| 1900 September 24 | | 07:33 | | 2415286.315 | | 155 Sagittarius 01 | | 13:09 | | 103632.548 |
| 1902 August 12 | | 06:48 | | 2415973.284 | | 156 Sagittarius 01 | | 03:17 | | 104301.137 |
| 1904 June 29 | | 05:54 | | 2416660.246 | | 157 Sagittarius 01 | | 17:15 | | 104969.719 |
| 1906 May 17 | | 05:26 | | 2417347.227 | | 158 Sagittarius 01 | | 07:39 | | 105638.319 |
| 1908 April 03 | | 04:09 | | 2418034.173 | | 159 Sagittarius 01 | | 21:15 | | 106306.886 |
| 1910 February 19 | | 03:31 | | 2418721.147 | | 160 Sagittarius 01 | | 11:29 | | 106975.479 |
| 1912 January 07 | | 03:38 | | 2419408.152 | | 161 Sagittarius 01 | | 02:27 | | 107644.103 |
| 1913 November 24 | | 03:05 | | 2420095.129 | | 161 Vrishika 28 | | 16:46 | | 108312.699 |
| 1915 October 12 | | 01:56 | | 2420782.081 | | 163 Sagittarius 01 | | 06:30 | | 108981.271 |
| 1917 August 29 | | 01:23 | | 2421469.058 | | 163 Vrishika 28 | | 20:49 | | 109649.868 |
| 1919 July 17 | | 00:24 | | 2422156.017 | | 165 Sagittarius 01 | | 10:43 | | 110318.447 |
| 1921 June 02 | | 23:06 | | 2422842.963 | | 166 Sagittarius 01 | | 00:18 | | 110987.013 |
| 1923 April 20 | | 22:42 | | 2423529.946 | | 167 Sagittarius 01 | | 14:45 | | 111655.615 |
| 1925 March 07 | | 22:27 | | 2424216.936 | | 168 Sagittarius 01 | | 05:23 | | 112324.224 |
| 1927 January 23 | | 21:51 | | 2424903.911 | | 169 Sagittarius 01 | | 19:39 | | 112992.819 |
| 1928 December 10 | | 21:11 | | 2425590.883 | | 170 Sagittarius 01 | | 09:51 | | 113661.410 |
| 1930 October 28 | | 20:25 | | 2426277.851 | | 170 Vrishika 28 | | 23:57 | | 114329.998 |
| 1932 September 14 | | 18:59 | | 2426964.791 | | 171 Vrishika 28 | | 13:24 | | 114998.559 |
| 1934 August 02 | | 18:24 | | 2427651.767 | | 173 Sagittarius 01 | | 03:41 | | 115667.154 |
| 1936 June 19 | | 18:15 | | 2428338.761 | | 173 Vrishika 28 | | 18:24 | | 116335.767 |
| 1938 May 07 | | 17:26 | | 2429025.727 | | 175 Sagittarius 01 | | 08:27 | | 117004.353 |
| 1940 March 24 | | 16:32 | | 2429712.689 | | 175 Vrishika 28 | | 22:25 | | 117672.935 |
| 1942 February 09 | | 16:32 | | 2430399.689 | | 177 Sagittarius 01 | | 13:16 | | 118341.553 |
| 1943 December 28 | | 15:23 | | 2431086.641 | | 178 Sagittarius 01 | | 03:00 | | 119010.126 |
| 1945 November 14 | | 14:24 | | 2431773.600 | | 179 Sagittarius 01 | | 16:54 | | 119678.704 |
| 1947 October 02 | | 14:11 | | 2432460.591 | | 180 Sagittarius 01 | | 07:32 | | 120347.315 |
| 1949 August 19 | | 13:35 | | 2433147.566 | | 180 Vrishika 28 | | 21:49 | | 121015.909 |
| 1951 July 07 | | 12:34 | | 2433834.524 | | 181 Vrishika 28 | | 11:41 | | 121684.487 |
| 1953 May 24 | | 12:05 | | 2434521.504 | | 183 Sagittarius 01 | | 02:04 | | 122353.086 |
| 1955 April 11 | | 10:56 | | 2435208.456 | | 183 Vrishika 28 | | 15:48 | | 123021.659 |
| 1957 February 26 | | 09:56 | | 2435895.414 | | 185 Sagittarius 01 | | 05:40 | | 123690.236 |
| 1959 January 14 | | 09:57 | | 2436582.415 | | 185 Vrishika 28 | | 20:33 | | 124358.856 |
| 1960 December 01 | | 09:33 | | 2437269.398 | | 187 Sagittarius 01 | | 11:00 | | 125027.459 |
| 1962 October 19 | | 08:25 | | 2437956.351 | | 188 Sagittarius 01 | | 00:45 | | 125696.032 |
| 1964 September 05 | | 07:45 | | 2438643.323 | | 189 Sagittarius 01 | | 14:57 | | 126364.623 |
| 1966 July 24 | | 07:01 | | 2439330.293 | | 190 Sagittarius 01 | | 05:06 | | 127033.213 |
| 1968 June 10 | | 05:41 | | 2440017.237 | | 190 Vrishika 28 | | 18:39 | | 127701.777 |
| 1970 April 28 | | 05:09 | | 2440704.215 | | 191 Vrishika 28 | | 08:59 | | 128370.375 |
| 1972 March 15 | | 05:00 | | 2441391.209 | | 192 Vrishika 28 | | 23:42 | | 129038.988 |
| 1974 January 31 | | 04:35 | | 2442078.191 | | 193 Vrishika 28 | | 14:08 | | 129707.589 |
| 1975 December 19 | | 03:48 | | 2442765.159 | | 195 Sagittarius 01 | | 04:14 | | 130376.177 |
| 1977 November 05 | | 03:14 | | 2443452.135 | | 195 Vrishika 28 | | 18:31 | | 131044.772 |
| 1979 September 23 | | 01:49 | | 2444139.076 | | 197 Sagittarius 01 | | 08:00 | | 131713.333 |
| 1981 August 10 | | 01:01 | | 2444826.043 | | 197 Vrishika 28 | | 22:05 | | 132381.920 |
| 1983 June 28 | | 00:56 | | 2445513.039 | | 199 Sagittarius 01 | | 12:50 | | 133050.535 |
| 1985 May 15 | | 00:15 | | 2446200.011 | | 200 Sagittarius 01 | | 03:02 | | 133719.127 |
| 1987 April 01 | | 23:09 | | 2446886.965 | | 201 Sagittarius 01 | | 16:49 | | 134387.701 |
| 1989 February 16 | | 23:00 | | 2447573.959 | | 202 Sagittarius 01 | | 07:31 | | 135056.314 |
| 1991 January 04 | | 22:04 | | 2448260.920 | | 203 Sagittarius 01 | | 21:28 | | 135724.895 |
| 1992 November 21 | | 20:49 | | 2448947.868 | | 204 Sagittarius 01 | | 11:06 | | 136393.463 |
| 1994 October 09 | | 20:29 | | 2449634.854 | | 205 Sagittarius 02 | | 01:38 | | 137062.068 |
| 1996 August 26 | | 20:03 | | 2450321.836 | | 206 Sagittarius 01 | | 16:03 | | 137730.669 |
| 1998 July 14 | | 19:04 | | 2451008.795 | | 207 Sagittarius 02 | | 05:57 | | 138399.248 |
| 2000 May 31 | | 18:33 | | 2451695.773 | | 208 Sagittarius 01 | | 20:17 | | 139067.846 |
| 2002 April 18 | | 17:41 | | 2452382.737 | | 209 Sagittarius 02 | | 10:18 | | 139736.430 |
| 2004 March 05 | | 16:27 | | 2453069.686 | | 210 Sagittarius 01 | | 23:58 | | 140404.999 |
| 2006 January 21 | | 16:24 | | 2453756.684 | | 211 Sagittarius 01 | | 14:46 | | 141073.616 |
| 2007 December 09 | | 16:13 | | 2454443.676 | | 212 Sagittarius 01 | | 05:26 | | 141742.227 |
| 2009 October 26 | | 15:14 | | 2455130.635 | | 213 Sagittarius 01 | | 19:20 | | 142410.806 |
| 2011 September 13 | | 14:25 | | 2455817.601 | | 214 Sagittarius 01 | | 09:23 | | 143079.391 |
| 2013 July 31 | | 13:55 | | 2456504.580 | | 215 Sagittarius 01 | | 23:45 | | 143747.990 |
| 2015 June 18 | | 12:34 | | 2457191.524 | | 216 Sagittarius 01 | | 13:17 | | 144416.554 |
| 2017 May 05 | | 11:45 | | 2457878.490 | | 217 Sagittarius 02 | | 03:21 | | 145085.140 |
| 2019 March 23 | | 11:32 | | 2458565.481 | | 218 Sagittarius 01 | | 17:59 | | 145753.750 |
| 2021 February 07 | | 11:12 | | 2459252.467 | | 219 Sagittarius 02 | | 08:31 | | 146422.355 |
| 2022 December 26 | | 10:19 | | 2459939.430 | | 220 Sagittarius 01 | | 22:30 | | 147090.938 |
| 2024 November 12 | | 09:46 | | 2460626.407 | | 221 Sagittarius 01 | | 12:49 | | 147759.534 |
| 2026 September 30 | | 08:29 | | 2461313.354 | | 222 Sagittarius 01 | | 02:26 | | 148428.102 |
| 2028 August 17 | | 07:24 | | 2462000.309 | | 223 Sagittarius 01 | | 16:14 | | 149096.677 |
| 2030 July 05 | | 07:17 | | 2462687.304 | | 224 Sagittarius 01 | | 06:58 | | 149765.291 |
| 2032 May 22 | | 06:50 | | 2463374.285 | | 225 Sagittarius 01 | | 21:22 | | 150433.891 |
| 2034 April 09 | | 05:44 | | 2464061.239 | | 226 Sagittarius 01 | | 11:09 | | 151102.465 |
| 2036 February 25 | | 05:26 | | 2464748.227 | | 227 Sagittarius 02 | | 01:43 | | 151771.072 |
| 2038 January 12 | | 04:52 | | 2465435.203 | | 228 Sagittarius 01 | | 16:01 | | 152439.668 |
| 2039 November 30 | | 03:33 | | 2466122.148 | | 229 Sagittarius 02 | | 05:35 | | 153108.233 |
| 2041 October 17 | | 03:08 | | 2466809.131 | | 230 Sagittarius 01 | | 20:02 | | 153776.835 |
| 2043 September 04 | | 02:54 | | 2467496.121 | | 231 Sagittarius 01 | | 10:39 | | 154445.444 |
| 2045 July 22 | | 01:58 | | 2468183.082 | | 232 Sagittarius 01 | | 00:36 | | 155114.025 |
| 2047 June 09 | | 01:14 | | 2468870.052 | | 233 Sagittarius 01 | | 14:45 | | 155782.615 |
| 2049 April 26 | | 00:34 | | 2469557.024 | | 234 Sagittarius 01 | | 04:57 | | 156451.206 |
| 2051 March 13 | | 23:08 | | 2470243.964 | | 235 Sagittarius 01 | | 18:24 | | 157119.767 |
| 2053 January 28 | | 22:50 | | 2470930.952 | | 236 Sagittarius 01 | | 08:58 | | 157788.374 |
| 2054 December 16 | | 22:45 | | 2471617.948 | | 237 Sagittarius 01 | | 23:44 | | 158456.989 |
| 2056 November 02 | | 21:51 | | 2472304.911 | | 238 Sagittarius 01 | | 13:43 | | 159125.572 |
| 2058 September 20 | | 20:51 | | 2472991.869 | | 239 Sagittarius 02 | | 03:35 | | 159794.150 |
| 2060 August 07 | | 20:25 | | 2473678.851 | | 240 Sagittarius 01 | | 18:01 | | 160462.751 |
| 2062 June 25 | | 19:10 | | 2474365.799 | | 241 Sagittarius 01 | | 07:39 | | 161131.319 |
| 2064 May 12 | | 18:10 | | 2475052.757 | | 241 Vrishika 28 | | 21:32 | | 161799.897 |
| 2066 March 30 | | 17:55 | | 2475739.747 | | 243 Sagittarius 01 | | 12:09 | | 162468.506 |
| 2068 February 15 | | 17:48 | | 2476426.742 | | 244 Sagittarius 01 | | 02:53 | | 163137.120 |
| 2070 January 02 | | 17:00 | | 2477113.709 | | 245 Sagittarius 01 | | 16:58 | | 163805.707 |
| 2071 November 20 | | 16:30 | | 2477800.688 | | 246 Sagittarius 01 | | 07:19 | | 164474.305 |
| 2073 October 07 | | 15:30 | | 2478487.646 | | 247 Sagittarius 01 | | 21:12 | | 165142.883 |
| 2075 August 25 | | 14:15 | | 2479174.594 | | 248 Sagittarius 01 | | 10:50 | | 165811.452 |
| 2077 July 12 | | 13:59 | | 2479861.583 | | 249 Sagittarius 02 | | 01:26 | | 166480.060 |
| 2079 May 30 | | 13:40 | | 2480548.570 | | 250 Sagittarius 01 | | 15:58 | | 167148.666 |
| 2081 April 16 | | 12:34 | | 2481235.524 | | 251 Sagittarius 01 | | 05:45 | | 167817.240 |
| 2083 March 04 | | 12:00 | | 2481922.500 | | 251 Vrishika 28 | | 20:03 | | 168485.835 |
| 2085 January 19 | | 11:39 | | 2482609.486 | | 253 Sagittarius 01 | | 10:34 | | 169154.441 |
| 2086 December 07 | | 10:14 | | 2483296.427 | | 254 Sagittarius 01 | | 00:02 | | 169823.002 |
| 2088 October 24 | | 09:34 | | 2483983.399 | | 255 Sagittarius 01 | | 14:14 | | 170491.594 |
| 2090 September 11 | | 09:21 | | 2484670.390 | | 256 Sagittarius 01 | | 04:53 | | 171160.204 |
| 2092 July 29 | | 08:29 | | 2485357.354 | | 257 Sagittarius 01 | | 18:54 | | 171828.788 |
| 2094 June 16 | | 07:36 | | 2486044.317 | | 258 Sagittarius 01 | | 08:53 | | 172497.370 |
| 2096 May 03 | | 07:04 | | 2486731.295 | | 259 Sagittarius 01 | | 23:13 | | 173165.968 |
| 2098 March 21 | | 05:44 | | 2487418.239 | | 260 Sagittarius 01 | | 12:46 | | 173834.532 |
| 2100 February 06 | | 05:18 | | 2488105.221 | | 261 Sagittarius 01 | | 03:12 | | 174503.133 |
| 2101 December 25 | | 05:21 | | 2488792.223 | | 261 Vrishika 28 | | 18:06 | | 175171.754 |
| 2103 November 12 | | 04:43 | | 2489479.197 | | 263 Sagittarius 01 | | 08:20 | | 175840.348 |
| 2105 September 29 | | 03:40 | | 2490166.153 | | 263 Vrishika 28 | | 22:10 | | 176508.924 |
| 2107 August 17 | | 03:14 | | 2490853.135 | | 265 Sagittarius 01 | | 12:36 | | 177177.525 |
| 2109 July 04 | | 02:12 | | 2491540.092 | | 266 Sagittarius 01 | | 02:26 | | 177846.102 |
| 2111 May 22 | | 00:59 | | 2492227.041 | | 267 Sagittarius 01 | | 16:06 | | 178514.671 |
| 2113 April 08 | | 00:38 | | 2492914.027 | | 268 Sagittarius 01 | | 06:38 | | 179183.276 |
| 2115 February 24 | | 00:34 | | 2493601.024 | | 269 Sagittarius 01 | | 21:24 | | 179851.892 |
| 2117 January 10 | | 23:48 | | 2494287.992 | | 270 Sagittarius 01 | | 11:31 | | 180520.480 |
| 2118 November 28 | | 23:06 | | 2494974.963 | | 271 Sagittarius 01 | | 01:41 | | 181189.071 |
| 2120 October 15 | | 22:16 | | 2495661.928 | | 271 Vrishika 28 | | 15:43 | | 181857.655 |
| 2122 September 02 | | 20:47 | | 2496348.866 | | 273 Sagittarius 01 | | 05:08 | | 182526.214 |
| 2124 July 20 | | 20:16 | | 2497035.845 | | 273 Vrishika 28 | | 19:29 | | 183194.812 |
| 2126 June 07 | | 20:05 | | 2497722.837 | | 275 Sagittarius 01 | | 10:09 | | 183863.423 |
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