Calibration of the sun calendar.
by G.Orme Posted 4th October, 1998.
 

    "The tilt angle  itself can also change over long periods.
This is the case on Mars which does not have a large satellite like the Moon to stabilize the
angle which its rotation axis is tilted. The tilt angle of the rotation axis on Mars varies between
15 and 35 degrees with a period of approximately 125,000 years. When the angle is large, the
poles receive more solar energy than they do now (when the tilt is about 25 degrees) and when
the angle is smaller the poles receive less solar energy. "


http://www-star.stanford.edu/projects/mod/id-season.html

 

    You then have a total of 50 (2 times 25 degrees) degrees of change with the planetary tilt at 25 degrees though this would have varied between 30 (2 times 15 degrees) and 70 (2 times 35 degrees) degrees in the past.  The photo on the left below estimates the shadow from the Viking picture, at the same angle as the face shadow, but foreshortened to approximate a time in the day, probably late afternoon,  when the pointing shadow would touch the marks. The photo on the right gives an estimated shadow for the afternoon on the day the mgs imaged this area. The morning shadow, when the photo was taken, can be seen faintly pointing in the opposite direction. From this you can see that as the 2 photos were taken in different seasons the shadow point has moved on the scale about 30 degrees.  This demonstrates the "sundial" is working over part of the scale even now.
 

"As indicated in the figure, the profile was generated from data which were recorded on March
24, 1998. The location of the measurement was 49.3 degrees South latitude and 72.5 degrees
East longitude. A glance at the Mars map on the Late Martian Weather! page on this Web site
will show that this location is in the deep Hellas impact basin of Mars. The local time of the
measurement on Mars was 07:31 p.m. and the Martian season at the time and place of the
measurement was early summer." (Southern hemisphere)
 

http://nova.stanford.edu/projects/mgs/prof/prof9803240415.html
 

Therefore in Cydonia at this time in the Northern hemisphere it would be early winter.

 "As indicated in the figure, the profile was generated from data which were recorded on January
28, 1998. The location of the measurement was 25.3 degrees North latitude and 127.1 degrees
East longitude. The local time of the measurement on Mars was 05:35 a.m. and the martian
season at the time and place of the measurement was late fall."
(ibid)


Early winter and late fall around January to March 1998.
"Winter clouds cover much of the northern hemisphere of Mars above 40° N latitude at this time
of the martian year." (Malin Space Systems)


 Again winter seems correct for the mgs photo of April 1998, so early winter would correspond to the pointer  in approximately the center of the scale.
   

The Cydonia area was first imaged on July 26th 1976, or approximately 7939 Earth days ago which makes it 11.57 Martian years ago. 57% of a year before early winter should be around early summer or spring. We then have a 30 degree movement on the "sun calendar"  through this time of the Martian year, early winter to spring.
   

Since the mgs photo is early winter and it points further down the scale than the Viking spring, it follows that during winter the pointer should go even lower on the scale. In summer the pointer should move up the scale. Here one might hypothesize the pointer would be around the ends of the scale at midsummer and midwinter, but this is a subject for future calculation. Again, all these measurements are approximate but I do not have the facilities to calculate this more accurately at this stage. Any help would be appreciated.
   

In the spirit of these approximations one might calculate an equinox at about 40% down the scale. If ideally this should be in the center of the scale it is still close considering all that may have happened if it was constructed, and all the approximations. If there is a 30 degree spread between spring and autumn this may give a basis for further estimation. If one assumes that spring is say one third of the axis tilt then 3 times 15 degrees is 45 degrees, with a total spread between midsummer and midwinter of 90 degrees. This agrees well with the estimate of the total angle of the marks to the center of the "sun calendar" of 100 degrees, a good correlation considering the approximations. It may be worth pointing out that this is at least close to an isosceles triangle bisected if you draw a line between the hill under the "sun calendar" and a mark directly above. This is shown below:

 


    We then have evidence that the pointer moves up the scale in summer and down in winter, and probably around the center in late fall, close to the equinox. The "sun calendar" then is calibrated well even today for such a task, and may have been even more so in earlier times with a different planetary tilt.
 

               

Copyright © 1998 by Malin Space Science Systems, Inc.

There may be a semicircle of marks above the "sun calendar" that the pointer shadow can touch in the mornings. If there is there may be different measuring options to compare the shadow falling on a straight line of marks and a semicircular one, one being perhaps being an arithmetic scale and one logarithmic. The wall of the "sun calendar" may act as a windbreak to protect the marks, depending on the wind direction.


Note the angular turn in the marks at A and B,  with the marks at BC perhaps for the time of day if extended to the center or to AD:

 

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