Mayan astronomy - Sun and Moon

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Sun

Equinoxes and solstices (correlation 508392)

Winter Soltices
8.16.3.13.0 4 Ahau 8 Mol (1268540) 1776932 152 Dec 22 AD 152,98 E-J
(-0,70 dne) 152 Dec 21 Winter solstice
m01521222

8.16.15.16.1 4 Imix 9 Mol (1272921) 1781313 164 Dec 20 AD 164,97
(+1.2 dne) 164 Dec 21 AD Winter solstice

m01641220

9.19.1.5.0 1 Ahau 13 Mac (1433260) 1941652 603 Dec 15 AD 603,97 Venus - heliactic rise
(+3.90 days) 603 Dec 19 AD Winter solstice
m06031216


10.5.0.0.0 10 Ahau 8 Muan (1476000) 1984392 720 Dec 20 AD 720,99 stone momument
(-2.7 dne) 720 Dec 17 AD Winter solstice
m07201220

10.8.3.16.4 4 Kan 17 Muan (1499004) 2007396 783 Dec 14 AD 783,97
(+3.6 dne) 783 Dec 18 AD Winter solstice
m07831214

10.11.5.14.5 3 Chicchan 13 Pax (1521285) 2029677 844 Dec 14 AD 844,97 see Serpent numbers (number 2)
(+2.4 dne) 844 Dec 16 AD Winter solstice
m8441215.jpg
Summer Soltices
9.12.10.16.9 13 Muluc 2 Zip (1386329) 1894721 475 Jun 19 AD 475,47
(+2.10 dne) 475 Jun 21 AD Summer solstice
m04750619

9.15.6.13.1 7 Imix 19 Zip (1406421) 1914813 530 Jun 22 AD 530,48 Venus morning, fire, (Moon age 30)
(-1.60 dne) 530 Jun 20 AD Summer solstice

m05300622

9.16.17.2.18 5 Etznab 6 Zotz (1417378) 1925770 560 Jun 21 AD 560,48
(-1.40 dne) 560 Jun 20 AD Summer solstice
m05600621

10.17.6.0.8 9 Lamat 1 Chen (1564568) 2072960 963 Jun 16 AD 963,48
(+1.10 dne) 963 Jun 17 AD Summer solstice
m09630616

10.17.11.1.13 1 Ben 1 Chen (1566393) 2074785 968 Jun 14 AD 968,47
(+2.30 dne) 968 Jun 16 AD Summer solstice
m09680614

11.14.13.0.0 4 Ahau 3 Mac (1689480) 2197872 1305 Jun 12 AD 1305,47
(+1,60 dne) 1305 Jun 14 AD Summer solstice
m13050612

11.19.13.7.19 10 Cauac 7 Kankin (1725639) 2234031 1404 Jun 11 AD 1404,47
(+1,60 dne) 1404 Jun 13 AD Summer solstice

m14040611

12.11.18.17.7 11 Manik 5 Kayab (1814027) 2322419 1646 Jun 19 AD 1646,47
(+2,00 dne) 1646 Jun 21 AD Summer solstice
m16460619
Vernal Equinoxes
9.11.12.7.2 2 Ik 10 Pax (1379662) 1888054 457 Mar 18 AD 457,22
(+1.00 dne) 457 Mar 19 AD Vernal equinox
m04570318

9.14.10.4.0 7 Ahau 3 Kayab (1400480) 1908872 514 Mar 17 AD 514,22 Stelae
(+1.80 dne) 514 Mar 19 AD Vernal equinox
m05140317

9.14.13.4.17 12 Caban 5 Kayab (1401577) 1909969 517 Mar 18 AD 517,22
(0.50 dne) 517 Mar 18 AD Vernal equinox
m05170318

9.17.9.1.7 4 Manik 0 Cumku (1421667) 1930059 572 Mar 19 AD 572,23
(-1.20 dne) 572 Mar 18 AD Vernal equinox

m05720319

11.3.13.10.18 10 Etznab 1 Xul (1610498) 2118890 1089 Mar 16 AD 1089,23
(-1.90 dne) 1089 Mar 14 AD Vernal equinox
m10890316

11.12.5.1.2 10 Ik 0 Mol (1672222) 2180614 1258 Mar 13 AD 1258,22
( 0.00 dne) 1258 Mar 13 AD Vernal equinox
m12580313
Autumnal Equinoxes
8.12.14.8.15 13 Men 3 Zip (1243615) 1752007 84 Sep 25 AD 84,74
(-0.90 dne) 84 Sep 24 AD Autumnal equinox
m00840925

9.13.3.6.8 7 Lamat 1 Mol (1390808) 1899200 487 Sep 23 AD 487,74 (Moon)
(-1.20 dne) 487 Sep 22 AD Autumnal equinox
m04870923

11.7.7.2.18 9 Etznab 1 Pax (1636978) 2145370 1161 Sep 14 AD 1161,73
(+2,20 dne) 1161 Sep 16 AD Autumnal equinox
m11610914

11.19.19.14.0 3 Ahau 18 Cumku (1727920) 2236312 1410 Sep 9 AD 1410,72 Baktun Ceremonial (Mayapan)
(+5.50 dne) 1410 Sep 14 AD Autumnal equinox
m14100909

12.0.12.17.12 10 Eb 0 Pop (1732672) 2241064 1423 Sep 13 AD 1423,73
(+1.60 dne) 1423 Sep 15 AD Autumnal equinox

m14230913

Moon

Eclipses (correlation 508392)

9.16.4.10.8 (1412848)
m05480126

See also >> SOLAR ECLIPSES in Mesoamerica, AD 1 to AD 1600

http://www.surfingtheapocalypse.net 548 1 26 1921240.36 4193 20.25 44 20.44 40 p 0.02 21.03 37 20.45 -18.21 Copan
548 1 26 1921240.36 4193 20.32 42 20.45 40 p 0.01 20.57 37 20.45 -18.22 Quirigua <<



Day 0-3986
0 0 0 9.16.4.10.8 12 Lamat 1 Muan 1412848 1921240 548 Jan 26 548 Jan 26 27S 102W South America
177 177 4 9.16.5.1.5 7 Chicchan 13 Zec 1413025 1921417 548 Jul 21 548 Jul 21 29N 174W North Pacific Ocean
177 354 7 9.16.5.10.2 2 Ik 10 Kankin 1413202 1921594 549 Jan 14 549 Jan 15 82S 128W Antarctica
148 502 -18 9.16.5.17.10 7 Oc 13 Zip 1413350 1921742 549 Jun 11 x
177 679 -14 9.16.6.8.7 2 Manik 10 Ceh 1413527 1921919 549 Dec 5 549 Dec 5 64N 147E (partial)
177 856 -11 9.16.6.17.4 10 Kan 2 Zip 1413704 1922096 550 May 31 550 Jun 1 44S 177W New Zealand
177 1033 -7 9.16.7.8.1 5 Imix 19 Zac 1413881 1922273 550 Nov 24 550 Nov 24 24N 52E Evropa, Arabie, India
178 1211 -2 9.16.7.16.19 1 Cauac 12 Uo 1414059 1922451 551 May 21 551 May 21 11N 22E Africa
177 1388 2 9.16.8.7.16 9 Cib 9 Zac 1414236 1922628 551 Nov 14 551 Nov 13 18S 146W South Pacific Ocean
177 1565 5 9.16.8.16.13 4 Ben 1 Uo 1414413 1922805 552 May 09 552 May 09 52N 42W North Atlantic Ocean
177 1742 9 9.16.9.7.10 12 Oc 18 Yax 1414590 1922982 552 Nov 2 552 Nov 2 52S 47W South America
177 1919 13 9.16.9.16.7 7 Manik 10 Pop 1414767 1923159 553 Apr 28 553 Apr 28 62N 151W (partial)
177 2096 16 9.16.10.7.4 2 Kan 7 Yax 1414944 1923336 553 Oct 22 553 Oct 23 62S 8E (partial)
148 2244 -9 9.16.10.14.12 7 Eb 15 Kayab 1415092 1923484 554 Mar 19 554 Mar 19 36S 65E Southern Ocean
178 2422 -4 9.16.11.5.10 3 Oc 8 Mol 1415270 1923662 554 Sep 13 554 Sep 12 42N 103W North America
177 2599 -1 9.16.11.14.7 11 Manik 5 Kayab 1415447 1923839 555 Mar 09 555 Mar 09 1S 175E Australia
177 2776 3 9.16.12.5.4 6 Kan 17 Yaxkin 1415624 1924016 555 Sep 2 555 Sep 1 7N 132W Pacific Ocean
177 2953 7 9.16.12.14.1 1 Imix 14 Pax 1415801 1924193 556 Feb 26 556 Feb 26 36 N 94W North America, Mexico
177 3130 10 9.16.13.4.18 9 Etznab 6 Yaxkin 1415978 1924370 556 Aug 21 556 Aug 21 31S 175E Australie
148 3278 -15 9.16.13.12.6 1 Cimi 14 Kankin 1416126 1924518 557 Jan 16 557 Jan 16 63S 82E (partial)
177 3455 -11 9.16.14.3.3 9 Akbal 6 Zec 1416303 1924695 557 Jul 12 557 Jul 12 64N 25W (partial)
177 3632 -8 9.16.14.12.0 4 Ahau 3 Kankin 1416480 1924872 558 Jan 5 558 Jan 5 61S 72W Southern Ocean
177 3809 -4 9.16.15.2.17 12 Caban 15 Zotz 1416657 1925049 558 Jul 1 558 Jul 1 47N 59W North America


Day 3987-7973
178 3987 1 9.16.15.11.15 8 Men 13 Mac 1416835 1925227 558 Dec 26 558 Dec 25 21S 78W South America
177 4164 5 9.16.16.2.12 3 Eb 5 Zotz 1417012 1925404 559 Jun 21 559 Jun 21 4N 48E Africa
177 4341 8 9.16.16.11.9 11 Muluc 2 Mac 1417189 1925581 559 Dec 15 559 Dec 14 23N 135W North Pacific Ocean
148 4489 -17 9.16.17.0.17 3 Caban 5 Uo 1417337 1925729 560 May 11 x
177 4666 -13 9.16.17.9.14 11 Ix 2 Zac 1417514 1925906 560 Nov 4 560 Nov 3 70S 85E (partial)
177 4843 -10 9.16.18.0.11 6 Chuen 14 Pop 1417691 1926083 561 Apr 30 561 Apr 30 73N 4E Arctic Ocean
178 5021 -5 9.16.18.9.9 2 Muluc 12 Yax 1417869 1926261 561 Oct 25 561 Oct 24 54S 27W South Atlantic Ocean
177 5198 -1 9.16.19.0.6 10 Cimi 4 Pop 1418046 1926438 562 Apr 20 562 Apr 19 9S 151E Africa
177 5375 2 9.16.19.9.3 5 Akbal 1 Yax 1418223 1926615 562 Oct 14 562 Oct 14 9S 151E Indonesia
177 5552 6 9.17.0.0.0 13 Ahau 18 Cumku 1418400 1926792 563 Apr 09 563 Apr 08 31S 82W South America
177 5729 10 9.17.0.8.17 8 Caban 10 Chen 1418577 1926969 563 Oct 3 563 Oct 3 41N 67E Norway-China
177 5906 13 9.17.0.17.14 3 Ix 7 Cumku 1418754 1927146 564 Mar 28 564 Mar 28 72S 131E (partial)
177 6083 17 9.17.1.8.11 11 Chuen 19 Mol 1418931 1927323 564 Sep 21 564 Sep 21 72N 132E (partial)
148 6231 -8 9.17.1.15.19 3 Cauac 7 Pax 1419079 1927471 565 Feb 16 565 Feb 16 23N 66W North Atlantic Ocean
178 6409 -3 9.17.2.6.17 12 Caban 0 Yaxkin 1419257 1927649 565 Aug 13 565 Aug 11 29S 136E South Pacific Ocean
177 6586 0 9.17.2.15.14 7 Ix 17 Muan 1419434 1927826 566 Feb 6 566 Feb 6 23S 136E Australia
177 6763 4 9.17.3.6.11 2 Chuen 9 Xul 1419611 1928003 566 Aug 2 566 Aug 1 23N 73E India
177 6940 8 9.17.3.15.8 10 Lamat 6 Muan 1419788 1928180 567 Jan 26 567 Jan 26 76S 112E Antarctica
177 7117 11 9.17.4.6.5 5 Chicchan 18 Zec 1419965 1928357 567 Jul 22 567 Jul 22 73N 153W Arctic Ocean
148 7265 -14 9.17.4.13.13 10 Ben 6 Mac 1420113 1928505 567 Dec 17 567 Dec 16 65N 14E (partial)
177 7442 -10 9.17.5.4.10 5 Oc 18 Zip 1420290 1928682 568 Jun 11 568 Jun 11 65S 80E (partial)
177 7619 -7 9.17.5.13.7 13 Manik 15 Ceh 1420467 1928859 568 Dec 5 568 Dec 4 23N 80W North America
177 7796 -3 9.17.6.4.4 8 Kan 7 Zip 1420644 1929036 569 May 31 569 May 31 8N 78W Central America


Day 7973-11958
177 7973 1 9.17.6.13.1 3 Imix 4 Ceh 1420821 1929213 569 Nov 24 569 Nov 24 21S 82E Indian Ocean
177 8150 4 9.17.7.3.18 11 Etznab 16 Uo 1420998 1929390 570 May 20 570 May 20 50N 132W North America
177 8327 8 9.17.7.12.15 6 Men 13 Zac 1421175 1929567 570 Nov 13 570 Nov 13 56S 178W Southern Ocean
148 8475 -1 9.17.8.2.3 11 Akbal 1 Uayeb 1421323 1929715 571 Apr 10 571 Apr 10 61S 144E (partial)
177 8652 -14 9.17.8.11.0 6 Ahau 13 Chen 1421500 1929892 571 Oct 4 571 Oct 5 61N 92W (partial)
177 8829 -10 9.17.9.1.17 1 Caban 10 Cumku 1421677 1930069 572 Mar 29 572 Mar 29 35S 51W South Atlantic Ocean
178 9007 -5 9.17.9.10.15 10 Men 3 Chen 1421855 1930247 572 Sep 23 572 Sep 23 41N 146E Russia, Japan
177 9184 -1 9.17.10.1.12 5 Eb 0 Cumku 1422032 1930424 573 Mar 19 573 Mar 19 1N 54E Indian Ocean
177 9361 2 9.17.10.10.9 13 Muluc 12 Mol 1422209 1930601 573 Sep 12 573 Sep 12 6N 121E Indonesia
177 9538 6 9.17.11.1.6 8 Cimi 9 Kayab 1422386 1930778 574 Mar 8 574 Mar 9 37N 142E Japan
177 9715 10 9.17.11.10.3 3 Akbal 1 Mol 1422563 1930955 574 Sep 1 574 Sep 1 30S 65E Indian Ocean
177 9892 13 9.17.12.1.0 11 Ahau 18 Pax 1422740 1931132 575 Feb 25 575 Feb 26 61N 101 W (partial)
148 10040 -12 9.17.12.8.8 3 Lamat 1 Xul 1422888 1931280 575 Jul 23 575 Jul 23 63N 148W (partial)
177 10217 -8 9.17.12.17.5 11 Chicchan 18 Kankin 1423065 1931457 576 Jan 16 576 Jan 17 58S 174E Southern Ocean
178 10395 -4 9.17.13.8.3 7 Akbal 11 Zec 1423243 1931635 576 Jul 12 576 Jul 12 50N 167W North Pacific Ocean
177 10572 0 9.17.13.17.0 2 Ahau 8 Kankin 1423420 1931812 577 Jan 5 577 Jan 5 21S 162E Australia
177 10749 4 9.17.14.7.17 10 Caban 0 Zec 1423597 1931989 577 Jul 1 577 Jul 1 8N 62W Central America
177 10926 7 9.17.14.16.14 5 Ix 17 Mac 1423774 1932166 577 Dec 25 577 Dec 25 22N 95E India
177 11103 11 9.17.15.7.11 13 Chuen 9 Zotz 1423951 1932343 578 Jun 20 578 Jun 21 66S 124E (partial)
148 11251 -14 9.17.15.14.19 5 Cauac 17 Zac 1424099 1932491 578 Nov 15 578 Nov 15 69S 60W (partial)
177 11428 -10 9.17.16.5.16 13 Cib 9 Uo 1424276 1932668 579 May 11 579 May 11 80N 163W Arctic Ocean
177 11605 -7 9.17.16.14.13 8 Ben 6 Zac 1424453 1932845 579 Nov 4 579 Nov 4 59S 157W Southern Ocean
177 11782 -3 9.17.17.5.10 3 Oc 18 Pop 1424630 1933022 580 Apr 29 580 Apr 29 26N 84W Mexico, Central America


177 11959 1 9.17.17.14.7 11 Manik 15 Yax 1424807 1933199 580 Oct 23 580 Oct 24 14S 25E Africa

http://eclipse.gsfc.nasa.gov/SEcat5/SE0501-0600.html

Mayan records of moon phases

Mayan recorded integer duration, 29 or 30 days.

E.g.: 29 days: 9.0.19.2.4, 9.11.16.10.13, 9.12.8.14.1,... 30 days: 9.14.14.13.17, 9.13.17.12.10, 9.15.6.13.1, 9.16.10.0.0, 9.16.1.0.0,...

Real period of lunation (E,L) varies: 29.26-29.80 days. Main period of change is c. 413 days (and c. 8*413, 3300 days).

End dates of some months with the longest duration (interval 825-850): 

(Difference) Matem.date  Date  (Difference) Matem.date  Date
---------------------------------------------------------------------
(  353.9) 825.08  825 Jan 24 11h AD       (  353.9) 840.85  840 Oct 30 14h AD
(   29.8) 825.17  825 Feb 23  6h AD       (   29.9) 840.93  840 Nov 29 11h AD
( 2066.9) 830.82  830 Oct 22  4h AD       (   29.8) 841.01  840 Dec 29  7h AD
(   29.8) 830.91  830 Nov 20 23h AD       (  353.9) 841.98  841 Dec 18  4h AD
(  353.9) 831.88  831 Nov  9 21h AD       (   29.9) 842.06  842 Jan 17  0h AD
(   29.9) 831.96  831 Dec  9 18h AD       (   29.8) 842.14  842 Feb 15 20h AD
(   29.8) 832.04  832 Jan  8 13h AD       (  353.9) 843.11  843 Feb  4 18h AD
(  353.9) 833.01  832 Dec 27 11h AD       (   29.8) 843.20  843 Mar  6 13h AD
(   29.8) 833.09  833 Jan 26  7h AD       ( 2066.9) 848.85  848 Nov  1 11h AD
(  353.9) 834.06  834 Jan 15  4h AD       (   29.8) 848.94  848 Dec  1  6h AD
(   29.8) 834.14  834 Feb 14  0h AD       (  353.9) 849.91  849 Nov 20  4h AD
( 2066.9) 839.80  839 Oct 12 21h AD       (   29.9) 849.99  849 Dec 20  1h AD
(   29.8) 839.88  839 Nov 11 17h AD       ...

The longest months (interval 800-900): 

(Difference)  Matem.date Date         (Difference)  Matem.date Date
-----------------------------------     --------------------------------
          806.00  805 Dec 26 10h        ( 3277.7) 866.88  866 Nov 12 18h
( 3277.7) 814.98  814 Dec 17  4h        ( 3307.6) 875.94  875 Dec  3  8h
( 2894.0) 822.90  822 Nov 19  4h        ( 3277.7) 884.91  884 Nov 23  1h
( 3307.6) 831.96  831 Dec  9 18h        ( 3307.6) 893.97  893 Dec 13 15h
( 3277.7) 840.93  840 Nov 29 11h        ...
( 3307.6) 849.99  849 Dec 20  1h
( 2894.0) 857.91  857 Nov 22  0h

Moon passings through ecliptic

Mayan recorded instants of moon occurrences close to the nodes,
(i.e. points of intersection of moon orbit with ecliptic) in times of main phases of the Moon (full moon, new moon).
(All these data are not necessarily solar or lunar eclipses, surely not in given area).

E.g. Moon close to the nodes (accuracy 30°, interval 1991-1996): 

Higher accuracy (interval 1991-2000): Difference Jul.datum Mat.datum Datum 
(1033.90000) #2448448.7 (1991.53104) 1991 Jul 11 AD 
( 176.90000) #2448625.6 (1992.01538) 1992 Jan 4 AD 
( 177.80000) #2448803.4 (1992.50218) 1992 Jun 29 AD 
(1033.00000) #2449836.4 (1995.33044) 1995 Apr 28 AD 
( 177.60000) #2450014.0 (1995.81669) 1995 Oct 23 AD 
(1211.10000) #2451225.1 (1999.13258) 1999 Feb 15 AD 
( 176.20000) #2451401.3 (1999.61500) 1999 Aug 10 AD"

Difference Jul.datum Mat.datum Datum
( 177.90000) #2448299.7 (1991.12310) 1991 Feb 12 AD
( 176.80000) #2448476.5 (1991.60716) 1991 Aug 7 AD
( 147.30000) #2448623.8 (1992.01045) 1992 Jan 2 AD
( 178.10000) #2448801.9 (1992.49807) 1992 Jun 28 AD
( 176.20000) #2448978.1 (1992.98049) 1992 Dec 21 AD
( 178.10000) #2449156.2 (1993.46812) 1993 Jun 17 AD
( 176.50000) #2449332.7 (1993.95136) 1993 Dec 11 AD
( 177.50000) #2449510.2 (1994.43734) 1994 Jun 6 AD
( 177.20000) #2449687.4 (1994.92249) 1994 Nov 30 AD
( 147.20000) #2449834.6 (1995.32551) 1995 Apr 27 AD
( 177.80000) #2450012.4 (1995.81231) 1995 Oct 21 AD
( 176.70000) #2450189.1 (1996.29610) 1996 Apr 15 AD
( 177.40000) #2450366.5 (1996.78181) 1996 Oct 9 AD

Period of eclipses

Period 46 tzolkin, 46*z= 11960 days (32.7447 years). It corresponds to 405 lunations (405*29.5306 days).
It reminds Douglass' period of annual rings (32.8 years). Period of beats (R/3,V) = 32.82 years.
Three Jovian periods modulated by Babylonian period make: [3*J, B]= [35.586,427.1]= 32.85 years.

Examples of Solar eclipses in the Middle and South America:

Date 1

Date 2

Interval

7.10.804

6. 7.837

837.541-804.794 = 32.747 years

26. 9.805

25. 6.838

838.511-805.766 = 32.745 years

10. 2.826

9.11.858

858.886-826.141 = 32.745 years

25. 5.830

21. 2.863

863.170-830.426 = 32.744 years

Douglass' period