Martian Calendars

Calendar Year Published Days per Week Days per Month Months per Year Base Year Length Leap Days Leap Day Position Basic Intercalation Formula Extended Intercalation Formula
(\ denotes integer division)
Mean Length of Calendar Year Base Astronomical Year Accuracy Cycle of Perpetuity Mean LS of Beginning of Year Year Count Start Epoch (CE) Epoch (JD) Notes
Aitken 1 1936 7 41-42 16 667 2 undefined 1x667 + 4x669 -2 * (Y\5) 668.6 Vernal Equinox 106 years 2 years 0.0 undefined undefined undefined
Aitken 2 1936 7 41-42 16 668 3 undefined 4x668 + 1x671 3 * (Y\5) 668.6 Vernal Equinox 106 years 2 years 0.0 undefined undefined undefined
Aitken 3 1936 7 41-42 16 668 1-2 mid-year + end of year 5x668 + 4x669 + 1x670 Y\2 + Y\10 668.6 Vernal Equinox 106 years 2 years 0.0 undefined undefined undefined
Allison 1998 7 28-31 22 668 3 end of 2nd month 4x668 + 1x671 3 * (Y\5) 668.6 Winter Solstice 238 years none 277.2 0 1873 Dec 29 12:02:23 2405521.502
Arih 1999 7 37 18 668 1 undefined 2x668 + 3x669 undefined undefined undefined undefined none 273.4 1 2000 Jan 1 2451545
Bauregger 1997 7 47-66 12 668 1 end of 2nd month (of 12) 4x668 + 6x669 Y\5 + (Y-2)\5 + (Y-4)\5 668.6 Winter Solstice 238 years none 281.0 undefined undefined undefined
Becker 1994 7 35 19 668 1 mid-year 4x668 + 6x669 (Y-1)\2 + Y\10 + (Y-66)\100 + (Y-32)\200 668.615 Winter Solstice 52 years 35 days 270.0 1 0 Aug 2 1721272
Blort 2001 7 55-56 12 667 1 end of 2nd month (of 12) 4x667 + 6x668 undefined 667.6 Vernal Equinox <1 year none 351 1 1 Jan 1 1721424
Briggs-Houben 1997 7 42-70 12 665 7 end of 8th month (of 12) 49x665 + 51x672 Y\2 + (Y-1)\100 668.5700 Winter Solstice 38 years 1 year 264-268 1 1975 Jul 7 2442601
Burroughs 1913 undefined undefined 12 687 undefined undefined undefined undefined undefined undefined <1 year undefined undefined undefined undefined undefined
Clarke 1951 7 50-60 12 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Coletti 2004 7 55-56 12 668 1-3 end of 2nd, 6th, and 9th months 10x668 + 11x669 + 670 Y\5 + (Y-2)\5 + (Y)\11 + Y\850 668.5918 Mean Tropical ~3000 years none 277.2 1 1873 Dec 29 00:00:00 UTC 2405522.0
Compton 1966 undefined 52-58 12 687 undefined undefined undefined undefined undefined undefined <1 year undefined undefined undefined undefined undefined
Chromium 2002 7 28 24 668 1 end of year 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\100 668.59 Summer Solstice 500 years 28 days 90.0 undefined undefined undefined
Cronin 2001 7 29-31 23 668 1 end of year 4x668 + 6x669 undefined 668.6 Winter Solstice 238 years none 274.0 1 0 Jul 28 1721265
Darian
Darian Defrost
Darian Hensel
Areosynchronous
Utopian
Kepler
1986 6-7 27-28 24 668 1 end of year 4x668 + 6x669 Year 0-2000:
(Y-1)\2 + Y\10 - Y\100 + Y\1000

Year 2001-4800:
(Y-1)\2 + Y\10 - Y\150

Year 4801-6800:
(Y-1)\2 + Y\10 - Y\200

Year 6801-8400:
(Y-1)\2 + Y\10 - Y\300

Year 8401-10000:
(Y-1)\2 + Y\10 - Y\600
668.5916129 Vernal Equinox ~10,000 years 28 days 0.0 0 1609 Mar 10 CE 18:00:40 UTC 2308804.25046
Dechert 1996 7 52-56 12 668 1 end of 2nd month (of 12) 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\100 + Y\500 668.5920 Mean Tropical 2300 years none 274.0 0 1999 Dec 31 20:42:25 2451544.36279
Douglass-Pickering c. 1900 7 55-56 12 668 1 end of year 2x668 + 3x669 Y\5 + (Y-2)\5 + (Y-3)\5 668.6 Vernal Equinox 145 years none 0.0 undefined undefined undefined
Elysium Mars 1998 undefined 50-57 12 669 undefined undefined 15/8 * 365/1.027491 undefined 666.06 Mean Tropical <1 year undefined 298.2 undefined 1975 Aug 30 2442669
Forget 2001 none N/A none 668 undefined N/A undefined undefined undefined Vernal Equinox undefined none 0.0 undefined undefined undefined
Forward 1991 7 N/A none 668 1 vernal and autumnal equinoxes 2x668 + 3x669 undefined undefined Winter Solstice undefined 7 days 270.0 0 1999 Dec 24 2451537
Gangale Stretched Gregorian 1990 7 47-66 12 668 1 end of 2nd month (of 12) 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\100 + Y\200 668.5950 Winter Solstice 1250 years none 280.4 0 1975 Aug 14 2442639
Greg 1880 none N/A none 668 undefined N/A undefined undefined Vernal Equinox undefined undefined none 0.0 undefined -22981
Hallet 1 1997 7 31-32 22 668 1 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Hallet 2 1997 7 55-56 12 668 1 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Hallet 3 1997 7 41-42 16 668 1 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Hartmann 1997 7 55-56 12 670 undefined undefined undefined undefined undefined undefined <1 year 28 days undefined 1 1 CE 1721424 Year count increments on the terrestrial cycle.
Heinlein 1949 7 variable 24 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Henry 1967 7 45-70 12 668 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Heron 2001 7 27-28 24 668 1 end of 3rd month (of 24) 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\100 + (Y-2)\500 - (Y-1)\5000 668.5918 Winter Solstice 250 years none 278.30 0 1975 Jul 26 2440429
Hollon 1998 7 27-28 24 669 1 end of year 668, 669 by observation N/A 668.5906 Vernal Equinox infinite 28 days 0.0 undefined undefined undefined
Isakov 2001 undefined 32-33 20 645 undefined undefined undefined undefined 645 undefined < 1 year undefined undefined undefined undefined undefined
Innaky 1997 undefined 29-30 23 687 undefined undefined undefined undefined undefined undefined < 1 year undefined undefined 0 undefined undefined
Kretsch 1999 7-8 31-32 21 668 1 end of 1st month undefined undefined undefined Vernal Equinox undefined 32 days 0.0 undefined undefined undefined
Krutein 1999 none N/A none 668 1 end of year undefined undefined undefined undefined undefined none undefined undefined undefined undefined
Kuiper 2001 7 55-56 12 667 1-2 undefined 37x667 + 668 Y\38 + 2*(Y\590) 667.0526 Winter Solstice < 1 year undefined 270.0 undefined undefined undefined
Levitt 1954 6-7 55-56 12 668 1 end of year 2x668 + 3x669 Y\5 + (Y-2)\5 + (Y-3)\5 - Y\1000 668.599 Mean Tropical 145 years 56 days 58.3 1 4713 Jan 1 0
Lovelock-Allaby 1984 7 N/A none 686 1 end of year 686 + 50x687 -Y\51 686.98 undefined <1 year 7 days undefined undefined undefined undefined
Lowell 1895 7 44-70 12 668 1 undefined undefined undefined undefined undefined undefined undefined 278.3 undefined undefined undefined
Mars Pulse 1 1999 7 29-31 22 668 1 end of year undefined undefined undefined Summer Solstice undefined 1 year 90.0 undefined undefined undefined
Mars Pulse 2 1999 7 29-31 22 668 1 mid-year undefined undefined undefined Winter Solstice undefined 1 year 270.0 undefined undefined undefined
Mars Pulse 3 1999 7 29-31 22 668 1 end of 5th month (of 22) undefined undefined undefined Winter Solstice undefined 1 year 270.0 undefined undefined undefined
Martiana 2002 7 27-28 24 668 1 end of year 4x668 + 6x669 Year 0-2000:
(Y-1)\2 + Y\10 - Y\100 + Y\1000

Year 2001-4800:
(Y-1)\2 + Y\10 - Y\150

Year 4801-6800:
(Y-1)\2 + Y\10 - Y\200

Year 6801-8400:
(Y-1)\2 + Y\10 - Y\300

Year 8401-10000:
(Y-1)\2 + Y\10 - Y\600
668.5916129 Vernal Equinox ~10,000 years 28 days 0.0 0 1609 Mar 11 CE 18:40:36 UTC 2308805.27819
Millennium Mars 1998 7 33-34 20 668 1 end of year undefined undefined undefined Vernal Equinox undefined none 0.0 0 1975 Dec 24 2442771
Moore 1977 undefined 37-38 18 668 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Nagatomo 1979 undefined 48-66 12 668 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Naughton-O'Meara 2001 6-7 27-28 24 668 [see note] 1 end of year 4x668 + 6x669 undefined 668.6 Vernal Equinox 106 years 28 days 0.0 0 1 Jan 1 1721424 Year count increments on the terrestrial cycle.
Oosthoek 2003 none 27-40 20 668 1 end of 1st month 668, 669 by observation N/A 668.5906 Vernal Equinox infinite 1 year 0.0 1 2022 Dec 26 2459940
Pavonian 1999 8 33-34 20 668 undefined undefined undefined undefined undefined Vernal Equinox undefined 32 days 0.0 undefined undefined undefined
Potassium Option 1 2002 7 35 19 668 1 end of year 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\100 668.59 Winter Solstice 172 years 35 days 270.0 undefined undefined undefined
Potassium Option 2 2002 7 35 19 668 1 end of year 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\100 668.59 Autumnal Equinox 250 years 35 days 180.0 undefined undefined undefined
Prud'homme 2001 7 49 14 686 undefined undefined undefined undefined undefined undefined <1 year undefined undefined undefined undefined undefined
Robinson 24-Month 1993 7 27-28 24 669 undefined undefined undefined undefined undefined Winter Solstice undefined undefined 272.1 1 2026 Apr 30 2461161
Robinson LS 1993 none N/A none 669 undefined undefined undefined undefined undefined Vernal Equinox undefined none 0.0 1 2026 Sep 29 2461313
Rohrer 1977 7 35 19 667 1-3 end of year 5x667 + 4x668 + 669 (Y)\2 + Y\10 + Y\50 667.62 Autumnal Equinox <1 year 35 days 180.0 undefined undefined undefined
Salvas 2001 7 37 18 669 1 end of 1st month (of 18) 12x669 + 18x670 Y - Y\3 - Y\10 669.601 Winter Solstice <1 year none 273.4 0 2000 Jan 1 2451545
Savard 2002 7 29-30 22-23 652 29-30 end of year 21x652 + 27x681 + 682 29 * [Y + (Y-1) + (Y-3) + (Y-5)]\7 + 30 * (Y\49) 668.5918 Vernal Equinox 833 years none 0 undefined undefined undefined
SCDTL 1998 7 55-56 12 668 1 end of year 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\2000 668.5991   135 years     0    
Schmidt 1997 6-7 27-28 24 668 2-3 undefined 59x(4x668 + 1x670) + (4x668 + 1x671) 2 * Y\5 + Y\300 - Y\6000 - Y\36000 668.4033 Vernal Equinox 5 years 28 days 0.0 undefined undefined undefined
Serra Martín 1 1997 7 53-56 12 669 3 end of year 4x669 + 1x672 3 * (Y\5) 669.6 Winter Solstice <1 year none 270.0 0 1971 Oct 6 2441231
Serra Martín 2 1997 7 25-28 24 669 3 end of year 4x669 + 1x672 3 * (Y\5) 669.6 Winter Solstice <1 year none 270.0 0 1971 Oct 6 2441231
Sherwood A 1998 undefined 23-33 24 668 1 mid-year 2x668 + 3x669 undefined 668.6 Vernal Equinox 106 years undefined 0.0 undefined undefined undefined
Sherwood B 1998 undefined 24-33 24 668 1 end of 13th month (of 24) 2x668 + 3x669 undefined 668.6 Vernal Equinox 106 years undefined 0.0 undefined undefined undefined
Sherwood C 1998 undefined 27-28 24 668 1 end of 19th month (of 24) 2x668 + 3x669 undefined 668.6 Vernal Equinox 106 years undefined 0.0 undefined undefined undefined
Sherwood D 1998 undefined 23-34 24 668 1 end of year 2x668 + 3x669 undefined 668.6 Vernal Equinox 106 years undefined 0.0 undefined undefined undefined
Space Studies 200
University of North Dakota
1999 7 60-62 11 669 3 1st, 2nd, and 3rd months 4x669 + 1x672 3 * (Y\5) 669.6 undefined <1 year undefined undefined 0 First human landing undefined
Ström 1 1997 7 55-57 12 668 1 end of 2nd month (of 12) undefined undefined undefined undefined undefined undefined 278.3 0 2012 Jan 1 2455928
Ström 2 1998 7 55-57 12 668 1 end of 2nd month (of 12) undefined undefined undefined Vernal Equinox undefined undefined 0.0 0 2012 Jan 1 2455928
Šurán Leap Day 1997 7 21-28 24 668 1 mid-year 4x668 + 6x669 Y\2 + (Y-1)\10 - Y\160 668.5937 Winter Solstice 476 years 28 days 270.0 undefined undefined undefined
Šurán Leap Week 1997 7 21-28 24 665 7 mid-year 34x665 + 36x672 7 * [Y\2 + (Y-1)\70 - Y\1100] 668.5936 Winter Solstice 454 years 28 days 270.0 undefined undefined undefined
Šurán Skip Day 1997 7 21-28 24 668 1 mid-year 4x668 + 6x669 -Y\2 + Y\10 - Y\160 668.5937 Winter Solstice 476 years 28 days 270.0 undefined undefined undefined
Šurán Skip Week 1997 7 21-28 24 665 7 mid-year 34x665 + 36x672 -7 * [Y\2 - (Y-1)\70 + (Y-1)\1100] 668.5936 Winter Solstice 454 years 28 days 270.0 undefined undefined undefined
Thothian Wheel 1998 7 30 22 668 1 undefined undefined undefined undefined undefined undefined 30 days undefined undefined undefined undefined
Titanium 2002 6 30 22 668 1 end of year 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\100 668.59 Vernal Equinox 1300 years 30 days 0.0 undefined undefined undefined
Vanadium 2002 7 29-31 23 668 1 end of year 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\100 668.59 Vernal Equinox 1300 years none 0.0 undefined undefined undefined
Vertregt 1963 10 N/A none 660 10 undefined 1x660 + 6x670 Y/7 + Y/50 668.6 Mean Tropical 126 years 1 year undefined undefined undefined undefined
Vonnegut 1959 undefined 30-31 22 669 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Vophick 1 1999 9 41-42 16 668 1 end of 11th month (of 16) 4x668 + 6x669 undefined 668.6 Mean Tropical 126 years none 280.2 1 1975 July 25 2440428
Vophick 2 1999 9 20-21 32 668 1 end of 22th month (of 32) 4x668 + 6x669 undefined 668.6 Mean Tropical 126 years none 280.2 1 1975 July 25 2440428
Vophick 3 1999 9 41-42 16 668 1 end of 11th month (of 16) 4x668 + 6x669 (Y-1)\2 + Y\10 - Y\100 + Y\500 668.6 Mean Tropical ~1500 years none 273.4 1 1975 July 13 2440416
Weidner 1999 7 29-32 22 668 1 undefined 2x668 + 3x669 cyclic system 668.5903 Vernal Equinox 3333 years undefined 0.0 0 -4224 Aug 22 05:54:39 UTC 178509.746282
Weiss 2000 6 undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined undefined
Woods 1997 7 27-28 24 668 1 undefined 4x668 + 6x669 Y\5 + (Y-2)\5 + (Y-4)\5 - Y\100 + Y\500 668.5920 Autumnal Equinox 500 years none 125.8 0 0 Nov 29 1721391
Zubrin 1993 undefined 46-66 12 669 undefined undefined 15/8 * 365/1.027491 undefined 666.06 Vernal Equinox <1 year undefined 0.0 1 1961 Jan 1 2437301

Martian Time

Martian Time

Martian Time Survey

Martian Time Survey 2.2