PAGE F 61 – 64
/D 40 – 43/
A/ /?/.15.9.1.3 The
Mayan date value is undeterminable.
B/ 9 Kan 12 Kayab A
cyclic date repeating every 18,980 days.
The
Mayan date final value in the chronology system is undeterminable.
C/ 8.16.15.16.1 1,272,921
days
- 1.4.16
- 456 days
D/ /8.16.14.11.5/ 3 Chicchan 1,272,465 days
E/ 8.16.14.15.4 1,272,544
days
- 6.1
- 121 days
F/ /8.16.14.9.3/ 13 Akbal 1,272,423 days
G/ 8.11.8.7.0 1,234,220
days
-
11.15 - 235 days
H/ /8.11.7.13.5/ 3 Chicchan 1,233,985 days
I/ 8.16.3.13.0 1,268,540
days
- 0.17
- 17 days
J/ /8.16.3.12.3/ 13 Akbal 1,268,523
days
K/ 10.8.3.16.4 1,499,004
days
L/ 10.13.13.3.2 1,538,342
days
-
7.2.14.19 - 51,419 days
M/ /10.6.10.6.3/ 13 Akbal
1,486,923
days
N/ /8/.19.0.4.4
1,288,884
days
C/ J.D. 1,895,182
September
22, 476
D/ J.D. 1,894,726
June
24, 475
E/ J.D. 1,894,805
September 11, 475
F/ J.D. 1,894,684
May
13, 475
G/ J.D. 1,856,481 October
8, 370
H/ J.D. 1,856,246 February
15, 370
I/ J.D. 1,890,801 September
24, 464
J/ J.D. 1,890,784 September
7, 464
K/ J.D. 2,121,265 September
16, 1095
L/ J.D. 2,160,603 May
30, 1203
M/ J.D. 2,109,184 August
19, 1062
N/ J.D. 1,911,145 June
6, 520
Behind the set of the Mayan
dates follow the tables containing multiplies of (1 to 20)x91 days, 15x364, 20x364, 40x364, 40x364,
60x364 and 80x364 days. The record of higher dates is damaged.
The Mayan dates C, E, G, I and
N are concerning Jupiter heliactic sets, i.e. the moments of the last short
visibility over the western horizon shortly after the sunset. The planet was invisible for the next few
tens of days because of its conjunction with the Sun. Jupiter synodic
circulation length multiplies are contained between the dates E, G, I and N. It
moves between 395 and 404 days. The average is 398.884 070 days.
E/ September 11, 475
38,324 days = 96
Jupiter synodic circulation length
G/ October 8, 370
34,320 days = 86
Jupiter synodic circulation length
I/ September 24, 464
20,344 days = 51
Jupiter synodic circulation length
N/ June 6, 520
C/ September 22, 476 Jupiter is 41 days
before conjunction with the Sun.
The heliactic set of the planet.
The Sun
set at 5.56 p.m.
The
Jupiter set at 7.47 p.m.
The autumn
equinox.
E/ September 11, 475 Jupiter is 23 days
before conjunction with the Sun.
The
heliactic set of the planet.
The Sun
set at 6.05 p.m.
The
Jupiter set at 7.06 p.m.
11 days
before the autumn equinox.
G/ October 8, 370 Jupiter is 49
days before conjunction with the Sun.
The
heliactic set of the planet.
The Sun
set at 5.45 p.m.
The
Jupiter set at 8.03 p.m.
16 days
after the autumn equinox.
I/ September 24, 464 Jupiter is 35 days
before conjunction with the Sun.
The
heliactic set of the planet.
The Sun
set at 5.54 p.m.
The
Jupiter set at 7.29 p.m.
2 days
after the autumn equinox.
N/ June 6, 520 Jupiter is
44 days before conjunction with the Sun.
The
heliactic set of the planet.
The Sun
set at 6.27 p.m.
The
Jupiter set at 8.50 p.m.
14 days
before the summer solstice.
The results of observed, or
into past calculated heliactic sets of Jupiter can be summarized into
following conclusion:
1/ The heliactic sets set in on average 39 days before conjunction with
the Sun. This corresponds to the time, when the planet is for the last time
shortly visible after the sunset over the western horizon, before it gets into
conjunction with the Sun.
2/ Jupiter heliactic sets always happened approximately in the
prominent parts of the tropical year. Four times around the autumn equinox and
once around the summer solstice.
3/ The Sun set in a very short time interval of 20 minutes, since 5.45
till 6.05 p.m. in cases C, E, G and I. Jupiter set some 57 minutes, since
7.06 till 8.03 p.m.
The Mayan dates C, E, H, L and M are concerning the Saturn heliactic rises, i.e. the moments, when the planet was visible for the first time in the morning sky before the sunrise. It was unobservable for few tens of days before, because of its conjunction with the Sun. The Saturn synodic circulation length multiples are contained in all these data. With a slight scatter the circulation makes 378.091 900 days.
C/ September 22, 476
377 days = 1x the Saturn synodic circulation length
E/ September 11, 475
38,559 days = 102x the Saturn synodic circulation length
H/ February 15, 370
304,357 days = 805x the Saturn synodic circulation length
L/ May 30, 1203
51,419 days = 136x the Saturn synodic circulation length
M/ August 19, 1062
C/ September 22, 476 The Saturn is 43 days
after conjunction with the Sun.
The
heliactic rise of the planet.
The Saturn
rose at 3.23 a.m.
The Sun
rose at 5.49 a.m.
E/ September 11, 475 The Saturn is 45 days
after conjunction with the Sun.
The
heliactic rise of the planet.
The Saturn
rose at 3.13 a.m.
The Sun rose at 5.47 a.m.
H/ February 15, 370 The Saturn is 63 days
after conjunction with the Sun.
The
heliactic rise of the planet.
The Saturn
rose at 2.53 a.m.
The Sun
rose at 6.29 a.m.
L/ May 30, 1203 The Saturn is 61 days
after conjunction with the Sun.
The
heliactic rise of the planet.
The Saturn
rose at 2.30 a.m.
The Sun rose at 5.26 a.m.
M/ August 19, 1062 The Saturn is 51 days
after conjunction with the Sun.
The
heliactic rise of the planet.
The Saturn
rose at 2.44 a.m.
The Sun
rose at 5.45 a.m.
Two files of following Mayan
dates are concerning the Mercury positions close to its maximal western or
eastern elongations. The G, J, C, K, H and D dates are concerning the western
elongations, when the planet was rising in the eastern sky before the
sunrise. The F, N and E dates are
concerning the eastern elongations. The Mercury set in the evening sky after the
sunset. The planet was practically observable only in those positions, when it
got into the maximal angle distances from the Sun. The Mercury synodic
circulation length multiples are contained between the dates, incidentally the
synodic and siderial circulations and the approximate tropical year
conformities.
G/ October 8, 370
34,303 days = 296x the Mercury synodic
circulation length
390x the Mercury siderial circulation length
94x the tropical year length
J/ September 7, 464
4, 398 days =
38x the Mercury synodic circulation length
50x the Mercury siderial circulation length
12x the tropical year length
C/ September 22, 476
226,083 days = 1,951x the Mercury synodic circulation length
2,570x the Mercury siderial circulation
length
619x the tropical year length
K/ September 16, 1095
265,019 days = 2,287x the Mercury synodic
circulation length
H/ February 15, 370
38,480
days = 332x the Mercury synodic
circulation length
D/ June 24, 475
F/ May 13, 475
16,461 days = 142x the Mercury synodic circulation length
187x the Mercury siderial circulation length
45x the tropical year length
N/ June 6, 520
16,340 days = 141x the Mercury synodic
circulation length
E/ September 11, 475
If the Mercury synodic and
siderial circulation length meets the tropical year approximate length, the
maximal elongations of the planet are repeating in positions concerning (with
little differences) the conformity of:
1/ the planet rises and sets time,
2/ the Sun rises and sets time,
3/ the approximate position of the planet on its ecliptics,
4/ the date of the year with difference smaller than 30 days.
G/ October 8, 370 The Mercury is close to the western
elongation with angle distance 17.61° from
the Sun.
The Mercury rose at
4.44 a.m.
The Sun rose at 5.52
a.m.
The real maximal
elongation of 18.83° was on October 12, 370.
The difference between
the estimated and real elongation is 1.22°.
J/ September 7, 464 The Mercury is close to the western
elongation with angle distance 17.27° from
the Sun.
The Mercury rose at
4.37 a.m.
The Sun rose at 5.46
a.m.
The real maximal
elongation of 17.92° was on September 10,
464.
The difference between
the estimated and real elongation is 0.65°.
C/ September 22, 476 The Mercury is close to
the western elongation with angle distance 14.51° from the Sun.
The Mercury rose at
4.55 a.m.
The Sun rose at 5.49
a.m.
The real maximal
elongation of 18.33° was on September 29,
476.
The difference between
the estimated and real elongation is 3.82°.
K/ September 16, 1095 The Mercury is close to the western elongation with angle
distance 17.61° from the Sun.
The
Mercury rose at 4.39 a.m.
The
Sun rose at 5.49 a.m.
The
real maximal elongation of 17.94° was on September 18, 1095.
The
difference between the estimated and real elongation is 0.33°.
H/ February 15, 370 The Mercury is close to the western elongation with angle
distance 26.08° from the Sun.
The
Mercury rose at 4.58 a.m.
The
Sun rose at 6.30 a.m.
The
real maximal elongation of 27.69° was on February 22, 370.
The
difference between the estimated and real elongation is 1.61°.
D/ June 24, 475 The
Mercury is close to the western elongation with angle distance 19.25° from the
Sun.
The
Mercury rose at 4.11 a.m.
The
Sun rose at 5.23 a.m.
The
real maximal elongation of 19.96° was on June 27, 475.
The
difference between the estimated and real elongation is 0.71°.
The Mayan dates are determining the Mercury
western elongations on average four days sooner, before the real moment of the
maximal elongation. The Mayan astronomers have made an average mistake 1.39°, which was not measurable at all because of the difficulties
connected with observing this planet. The biggest departure of –3.82° can be found on
September 22, 476 – the date C. The Mercury synodic and siderial circulation
length and the approximate tropical year meets between the dates G, J, C and K.
The determined elongations are probably results of theoretical calculations.
The date K into the future, the next dates into the deep past. Therefore a
bigger mistake occurred by the C date, if only average values of the planet
circulation length were used. The Mercury synodic circulation length vary from
104 to 132 days.
F/ May 13, 475 The Mercury is close to the eastern elongation with angle
distance 23.41° from the Sun.
The
Sun set at 6.22 p.m.
The
Mercury set at 8.07 p.m.
The
real maximal elongation of 23.51° was on May 10, 475.
The difference between the estimated and real
elongation is 0.1°.
N/ June 6, 520 The
Mercury is close to the eastern elongation with angle distance 23.49° from the
Sun.
The
Sun set at 6.30 p.m.
The
Mercury set at 8.10 p.m.
The
real maximal elongation of 25.15° was on May 25, 520.
The difference between the estimated and real elongation is
1.66°.
E/ September 11, 475 The Mercury is close to the eastern elongation with angle
distance 25.21° from the Sun.
The
Sun set at 6.05 p.m.
The
Mercury set at 7.16 p.m.
The
real maximal elongation of 25.70° was on September 6, 475.
The difference between the estimated and real elongation is
0.49°.
The Mayan astronomers determined the
eastern elongation on average 5 days later, after the planets maximal distance
from the Sun. They have made an average mistake 0.75°, which was due to their methods
undiscoverable. The angle distance of the Mercury and the Sun changes only
slightly for a few days around the maximal elongations. The planet seemingly
stands at one place. Therefore the Mayan astronomers could not have reached
bigger accuracy.
The following time intervals a
to h are added to the cyclic date B /9 Kan 12 Kayab/. We can not determine the
real value of this date in the Mayan chronology system and therefore
recalculate it into the Christian dating system.
a/ 4.6./1./11.3.1. 3 Chicchan
12,395,221 days
b/ 4.6./13./13.15.1 3 Chicchan 12,482,581 days
c/ 4.6.1.9.15.0 3 Kan 12,394,740
days
d/ 4.6.9.16.10.1 3 Chicchan 12,454,761 days
e/ 4.6.7.12.4.10 3 Ix
12,438,810
days
f/ 4.6.11.10.7.2 3 Cimi
12,466,942
days
g/ 4.6.9.15.12.19 13 Akbal
12,454,459 days
h/ 4.6.1.9.15.0 3 Kan
12,394,740
days
Basing on the analysis of single time sections and mutual intervals between them we found out,
that they are concerning the observations of tropical year for very long time
period, but it is impossible to match them with Christian calendar dates.
a/ 12,395,221 days 33,937 tropical years with +3 days
departure
d/ 12,454,761 days 34,100 tropical years with –3 days
departure
The interval between
dates e – f contains 77 tropical years with –8 days departure.
The interval between
dates g – b contains 77 tropical years with +2 days departure.
The interval between
dates c – b contains 240.5 tropical years.
The interval between
dates c – g contains 163.5 tropical years with -2 days departure.
The intervals between some
time sections also contain some planets synodic circulations, what
theoretically correspondences with their conjunctions.
Time interval of 87,360 days between dates a-b = Mars, Jupiter and
Saturn conjunction.
Time interval of 72,202 days between dates c-f = Jupiter and Saturn
conjunction.
Time interval of 12,483 days between dates f-g = Mars and Saturn
conjunction.
The Mayan dates E, F, I, J, L
and M are repeated on page F 31-32 /D 60-61/. Than follows the table of 91 and
364 multiplies, which are added to the dates.
A/ /?/ 15. 9. 4. 4 The value of the date is
undeterminable.
B/ 9 Kan 12 Kayab The cyclical date repeating every 18,980 days. The final value of this date in Mayan chronological system is undeterminable.