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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
SUMMER SOLSTICES OF MARS
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| Gregorian Date | | UTC | | Julian Day | | Darian Date | | AMT | | Julian Sol |
| 1874 December 10 | | 11:28 | | 2405867.478 | | 141 Pisces 27 | | 17:15 | | 94465.719 |
| 1876 October 27 | | 10:52 | | 2406554.453 | | 142 Pisces 27 | | 07:31 | | 95134.313 |
| 1878 September 14 | | 10:07 | | 2407241.422 | | 143 Pisces 27 | | 21:39 | | 95802.902 |
| 1880 August 01 | | 09:23 | | 2407928.391 | | 144 Pisces 27 | | 11:46 | | 96471.491 |
| 1882 June 19 | | 09:07 | | 2408615.380 | | 145 Pisces 28 | | 02:22 | | 97140.099 |
| 1884 May 06 | | 08:16 | | 2409302.345 | | 146 Pisces 27 | | 16:24 | | 97808.684 |
| 1886 March 24 | | 06:59 | | 2409989.291 | | 147 Pisces 28 | | 05:59 | | 98477.250 |
| 1888 February 09 | | 05:54 | | 2410676.246 | | 148 Pisces 27 | | 19:48 | | 99145.825 |
| 1889 December 27 | | 05:13 | | 2411363.218 | | 149 Pisces 28 | | 09:59 | | 99814.417 |
| 1891 November 14 | | 04:40 | | 2412050.195 | | 150 Pisces 28 | | 00:18 | | 100483.013 |
| 1893 October 01 | | 04:13 | | 2412737.176 | | 151 Pisces 27 | | 14:43 | | 101151.613 |
| 1895 August 19 | | 03:38 | | 2413424.152 | | 152 Pisces 27 | | 05:00 | | 101820.209 |
| 1897 July 06 | | 02:29 | | 2414111.104 | | 153 Pisces 27 | | 18:44 | | 102488.781 |
| 1899 May 24 | | 01:23 | | 2414798.058 | | 154 Pisces 27 | | 08:31 | | 103157.355 |
| 1901 April 11 | | 00:37 | | 2415485.026 | | 155 Pisces 27 | | 22:37 | | 103825.943 |
| 1903 February 26 | | 23:55 | | 2416171.997 | | 156 Pisces 27 | | 12:47 | | 104494.533 |
| 1905 January 13 | | 23:21 | | 2416858.973 | | 157 Pisces 28 | | 03:05 | | 105163.129 |
| 1906 December 01 | | 23:15 | | 2417545.969 | | 158 Pisces 27 | | 17:50 | | 105831.744 |
| 1908 October 18 | | 22:23 | | 2418232.933 | | 159 Pisces 28 | | 07:51 | | 106500.328 |
| 1910 September 05 | | 21:10 | | 2418919.882 | | 160 Pisces 27 | | 21:31 | | 107168.897 |
| 1912 July 23 | | 20:21 | | 2419606.848 | | 161 Pisces 27 | | 11:34 | | 107837.482 |
| 1914 June 10 | | 19:43 | | 2420293.822 | | 162 Pisces 27 | | 01:49 | | 108506.076 |
| 1916 April 27 | | 18:57 | | 2420980.790 | | 163 Pisces 27 | | 15:55 | | 109174.664 |
| 1918 March 15 | | 18:36 | | 2421667.775 | | 164 Pisces 27 | | 06:25 | | 109843.268 |
| 1920 January 31 | | 17:38 | | 2422354.735 | | 165 Pisces 27 | | 20:20 | | 110511.848 |
| 1921 December 18 | | 16:27 | | 2423041.686 | | 166 Pisces 27 | | 10:03 | | 111180.419 |
| 1923 November 05 | | 15:43 | | 2423728.655 | | 167 Pisces 28 | | 00:11 | | 111849.008 |
| 1925 September 22 | | 14:57 | | 2424415.623 | | 168 Pisces 27 | | 14:17 | | 112517.595 |
| 1927 August 10 | | 14:09 | | 2425102.590 | | 169 Pisces 28 | | 04:22 | | 113186.182 |
| 1929 June 27 | | 13:48 | | 2425789.575 | | 170 Pisces 27 | | 18:52 | | 113854.786 |
| 1931 May 15 | | 13:10 | | 2426476.549 | | 171 Pisces 27 | | 09:06 | | 114523.380 |
| 1933 April 01 | | 11:57 | | 2427163.498 | | 172 Pisces 26 | | 23:46 | | 115191.949 |
| 1935 February 17 | | 10:50 | | 2427850.452 | | 173 Pisces 27 | | 12:33 | | 115860.523 |
| 1937 January 04 | | 10:10 | | 2428537.424 | | 174 Pisces 27 | | 02:45 | | 116529.115 |
| 1938 November 22 | | 09:43 | | 2429224.405 | | 175 Pisces 27 | | 17:09 | | 117197.715 |
| 1940 October 09 | | 09:17 | | 2429911.387 | | 176 Pisces 27 | | 07:35 | | 117866.316 |
| 1942 August 27 | | 08:55 | | 2430598.372 | | 177 Pisces 27 | | 22:05 | | 118534.921 |
| 1944 July 14 | | 07:52 | | 2431285.328 | | 178 Pisces 27 | | 11:55 | | 119203.497 |
| 1946 June 01 | | 06:43 | | 2431972.280 | | 179 Pisces 28 | | 01:38 | | 119872.069 |
| 1948 April 18 | | 05:51 | | 2432659.244 | | 180 Pisces 27 | | 15:39 | | 120540.652 |
| 1950 March 06 | | 05:05 | | 2433346.212 | | 181 Pisces 27 | | 05:45 | | 121209.240 |
| 1952 January 22 | | 04:19 | | 2434033.180 | | 182 Pisces 26 | | 20:52 | | 121877.828 |
| 1953 December 09 | | 04:10 | | 2434720.174 | | 183 Pisces 27 | | 10:34 | | 122546.441 |
| 1955 October 27 | | 03:27 | | 2435407.144 | | 184 Pisces 27 | | 00:43 | | 123215.030 |
| 1957 September 13 | | 02:06 | | 2436094.088 | | 185 Pisces 27 | | 14:16 | | 123883.595 |
| 1959 August 01 | | 01:09 | | 2436781.048 | | 186 Pisces 27 | | 04:11 | | 124552.175 |
| 1961 June 18 | | 00:30 | | 2437468.021 | | 187 Pisces 27 | | 18:24 | | 125220.767 |
| 1963 May 05 | | 23:42 | | 2438154.988 | | 188 Pisces 27 | | 08:29 | | 125889.354 |
| 1965 March 22 | | 23:18 | | 2438841.971 | | 189 Pisces 27 | | 22:57 | | 126557.956 |
| 1967 February 07 | | 22:36 | | 2439528.942 | | 190 Pisces 27 | | 13:07 | | 127226.547 |
| 1968 December 25 | | 21:30 | | 2440215.896 | | 191 Pisces 27 | | 02:54 | | 127895.121 |
| 1970 November 12 | | 20:44 | | 2440902.864 | | 192 Pisces 26 | | 18:00 | | 128563.709 |
| 1972 September 29 | | 20:03 | | 2441589.836 | | 193 Pisces 27 | | 07:12 | | 129232.300 |
| 1974 August 17 | | 19:23 | | 2442276.808 | | 194 Pisces 26 | | 22:24 | | 129900.892 |
| 1976 July 04 | | 18:54 | | 2442963.788 | | 195 Pisces 27 | | 11:47 | | 130569.491 |
| 1978 May 22 | | 18:28 | | 2443650.770 | | 196 Pisces 27 | | 02:13 | | 131238.092 |
| 1980 April 08 | | 17:15 | | 2444337.719 | | 197 Pisces 27 | | 15:52 | | 131906.662 |
| 1982 February 24 | | 16:01 | | 2445024.668 | | 198 Pisces 27 | | 05:32 | | 132575.231 |
| 1984 January 12 | | 15:12 | | 2445711.634 | | 199 Pisces 27 | | 19:35 | | 133243.817 |
| 1985 November 29 | | 14:44 | | 2446398.614 | | 200 Pisces 27 | | 09:58 | | 133912.416 |
| 1987 October 17 | | 14:11 | | 2447085.591 | | 201 Pisces 28 | | 00:17 | | 134581.012 |
| 1989 September 03 | | 13:48 | | 2447772.575 | | 202 Pisces 27 | | 14:46 | | 135249.616 |
| 1991 July 22 | | 12:47 | | 2448459.533 | | 203 Pisces 28 | | 04:38 | | 135918.194 |
| 1993 June 08 | | 11:34 | | 2449146.482 | | 204 Pisces 27 | | 18:18 | | 136586.763 |
| 1995 April 26 | | 10:36 | | 2449833.442 | | 205 Pisces 28 | | 08:13 | | 137255.343 |
| 1997 March 13 | | 09:54 | | 2450520.413 | | 206 Pisces 27 | | 22:24 | | 137923.933 |
| 1999 January 29 | | 09:10 | | 2451207.382 | | 207 Pisces 28 | | 12:31 | | 138592.522 |
| 2000 December 16 | | 09:01 | | 2451894.376 | | 208 Pisces 28 | | 03:14 | | 139261.135 |
| 2002 November 03 | | 08:35 | | 2452581.358 | | 209 Pisces 28 | | 17:40 | | 139929.736 |
| 2004 September 20 | | 07:20 | | 2453268.306 | | 210 Pisces 28 | | 07:18 | | 140598.305 |
| 2006 August 08 | | 06:20 | | 2453955.264 | | 211 Pisces 27 | | 21:10 | | 141266.882 |
| 2008 June 25 | | 05:39 | | 2454642.236 | | 212 Pisces 27 | | 11:22 | | 141935.474 |
| 2010 May 13 | | 04:53 | | 2455329.204 | | 213 Pisces 28 | | 01:28 | | 142604.062 |
| 2012 March 30 | | 04:22 | | 2456016.182 | | 214 Pisces 27 | | 15:49 | | 143272.659 |
| 2014 February 15 | | 03:48 | | 2456703.159 | | 215 Pisces 28 | | 06:08 | | 143941.256 |
| 2016 January 03 | | 02:39 | | 2457390.111 | | 216 Pisces 27 | | 19:51 | | 144609.828 |
| 2017 November 20 | | 01:45 | | 2458077.073 | | 217 Pisces 28 | | 09:49 | | 145278.410 |
| 2019 October 08 | | 01:00 | | 2458764.042 | | 218 Pisces 27 | | 23:57 | | 145946.998 |
| 2021 August 25 | | 00:15 | | 2459451.011 | | 219 Pisces 28 | | 14:05 | | 146615.587 |
| 2023 July 12 | | 23:35 | | 2460137.983 | | 220 Pisces 28 | | 04:17 | | 147284.178 |
| 2025 May 29 | | 23:15 | | 2460824.969 | | 221 Pisces 27 | | 18:48 | | 147952.784 |
| 2027 April 16 | | 22:10 | | 2461511.924 | | 222 Pisces 27 | | 08:36 | | 148621.359 |
| 2029 March 03 | | 20:57 | | 2462198.873 | | 223 Pisces 27 | | 22:16 | | 149289.928 |
| 2031 January 19 | | 20:06 | | 2462885.838 | | 224 Pisces 27 | | 12:18 | | 149958.513 |
| 2032 December 06 | | 19:40 | | 2463572.820 | | 225 Pisces 28 | | 02:44 | | 150627.114 |
| 2034 October 24 | | 19:13 | | 2464259.801 | | 226 Pisces 27 | | 17:08 | | 151295.714 |
| 2036 September 10 | | 18:50 | | 2464946.785 | | 227 Pisces 28 | | 07:37 | | 151964.318 |
| 2038 July 29 | | 18:02 | | 2465633.752 | | 228 Pisces 27 | | 21:42 | | 152632.904 |
| 2040 June 15 | | 16:50 | | 2466320.702 | | 229 Pisces 28 | | 11:23 | | 153301.475 |
| 2042 May 03 | | 15:48 | | 2467007.659 | | 230 Pisces 28 | | 01:14 | | 153970.051 |
| 2044 March 20 | | 15:05 | | 2467694.629 | | 231 Pisces 27 | | 15:23 | | 154638.641 |
| 2046 February 05 | | 14:18 | | 2468381.596 | | 232 Pisces 27 | | 05:28 | | 155307.228 |
| 2047 December 24 | | 13:56 | | 2469068.581 | | 233 Pisces 27 | | 19:58 | | 155975.832 |
| 2049 November 10 | | 13:37 | | 2469755.568 | | 234 Pisces 27 | | 10:31 | | 156644.438 |
| 2051 September 28 | | 12:21 | | 2470442.515 | | 235 Pisces 28 | | 00:07 | | 157313.006 |
| 2053 August 15 | | 11:12 | | 2471129.467 | | 236 Pisces 27 | | 13:51 | | 157981.578 |
| 2055 July 03 | | 10:26 | | 2471816.435 | | 237 Pisces 28 | | 03:58 | | 158650.165 |
| 2057 May 20 | | 09:43 | | 2472503.405 | | 238 Pisces 27 | | 18:07 | | 159318.755 |
| 2059 April 07 | | 09:02 | | 2473190.377 | | 239 Pisces 28 | | 08:19 | | 159987.347 |
| 2061 February 22 | | 08:41 | | 2473877.362 | | 240 Pisces 27 | | 22:49 | | 160655.951 |
| 2063 January 10 | | 07:40 | | 2474564.320 | | 241 Pisces 27 | | 12:41 | | 161324.529 |
| 2064 November 27 | | 06:44 | | 2475251.281 | | 242 Pisces 27 | | 02:37 | | 161993.110 |
| 2066 October 15 | | 06:02 | | 2475938.252 | | 243 Pisces 27 | | 16:48 | | 162661.700 |
| 2068 September 01 | | 05:19 | | 2476625.222 | | 244 Pisces 27 | | 06:57 | | 163330.290 |
| 2070 July 20 | | 04:37 | | 2477312.193 | | 245 Pisces 27 | | 21:07 | | 163998.880 |
| 2072 June 06 | | 04:23 | | 2477999.183 | | 246 Pisces 27 | | 11:44 | | 164667.490 |
| 2074 April 24 | | 03:30 | | 2478686.146 | | 247 Pisces 28 | | 01:44 | | 165336.072 |
| 2076 March 11 | | 02:15 | | 2479373.094 | | 248 Pisces 27 | | 15:22 | | 166004.641 |
| 2078 January 27 | | 01:16 | | 2480060.053 | | 249 Pisces 28 | | 05:16 | | 166673.220 |
| 2079 December 15 | | 00:43 | | 2480747.030 | | 250 Pisces 27 | | 19:35 | | 167341.816 |
| 2081 November 01 | | 00:12 | | 2481434.009 | | 251 Pisces 27 | | 09:56 | | 168010.414 |
| 2083 September 18 | | 23:41 | | 2482120.987 | | 252 Pisces 27 | | 00:16 | | 168679.012 |
| 2085 August 05 | | 23:00 | | 2482807.959 | | 253 Pisces 27 | | 14:28 | | 169347.603 |
| 2087 June 23 | | 21:47 | | 2483494.908 | | 254 Pisces 27 | | 04:08 | | 170016.173 |
| 2089 May 10 | | 20:39 | | 2484181.861 | | 255 Pisces 27 | | 17:53 | | 170684.746 |
| 2091 March 28 | | 19:53 | | 2484868.829 | | 256 Pisces 27 | | 08:00 | | 171353.333 |
| 2093 February 12 | | 19:10 | | 2485555.799 | | 257 Pisces 27 | | 22:09 | | 172021.923 |
| 2094 December 31 | | 18:38 | | 2486242.777 | | 258 Pisces 27 | | 12:29 | | 172690.520 |
| 2096 November 17 | | 18:31 | | 2486929.772 | | 259 Pisces 28 | | 03:13 | | 173359.134 |
| 2098 October 05 | | 17:26 | | 2487616.727 | | 260 Pisces 27 | | 17:01 | | 174027.709 |
| 2100 August 23 | | 16:16 | | 2488303.678 | | 261 Pisces 27 | | 06:43 | | 174696.281 |
| 2102 July 11 | | 15:30 | | 2488990.646 | | 262 Pisces 26 | | 21:50 | | 175364.868 |
| 2104 May 28 | | 14:54 | | 2489677.621 | | 263 Pisces 27 | | 11:06 | | 176033.463 |
| 2106 April 15 | | 14:09 | | 2490364.590 | | 264 Pisces 27 | | 01:14 | | 176702.051 |
| 2108 March 02 | | 13:52 | | 2491051.578 | | 265 Pisces 27 | | 15:48 | | 177370.659 |
| 2110 January 18 | | 12:56 | | 2491738.539 | | 266 Pisces 27 | | 05:44 | | 178039.239 |
| 2111 December 06 | | 11:54 | | 2492425.496 | | 267 Pisces 27 | | 19:35 | | 178707.816 |
| 2113 October 23 | | 11:09 | | 2493112.465 | | 268 Pisces 27 | | 09:43 | | 179376.405 |
| 2115 September 10 | | 10:22 | | 2493799.432 | | 269 Pisces 27 | | 23:48 | | 180044.992 |
| 2117 July 28 | | 09:36 | | 2494486.400 | | 270 Pisces 27 | | 13:54 | | 180713.579 |
| 2119 June 15 | | 09:14 | | 2495173.385 | | 271 Pisces 27 | | 04:24 | | 181382.184 |
| 2121 May 02 | | 08:29 | | 2495860.354 | | 272 Pisces 26 | | 19:32 | | 182050.772 |
| 2123 March 20 | | 07:13 | | 2496547.301 | | 273 Pisces 27 | | 08:09 | | 182719.340 |
| 2125 February 04 | | 06:07 | | 2497234.255 | | 274 Pisces 26 | | 22:55 | | 183387.914 |
| 2126 December 23 | | 05:28 | | 2497921.228 | | 275 Pisces 27 | | 12:08 | | 184056.506 |
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