5000 years ago just prior to Thuban being the pole the pole would have been
at it's limit of it's westward movement from the perspective of India.  One
quarter of the precession is 6480 years a difference of 1480 years the pole
would appear to stay at the same longitude but the latitude would go down.
In the years prior to 6480 years the pole moved westward. After 5000years
the pole starts moving East even though the true horizon is 6480 years.  This
is like the problem in sidereal astronomy the instant you see the sun at
Dholavira in the morning on the summer solstice (at noon the city and sun
becomes an extension of the radius) unless you build a tower or fort.
Sidereal Astronomy is the most precise method because it uses two points
that are measurable. A Sidereal day is some 0.0084 seconds shorter than
the Earth's period of rotation relative to the fixed stars caused by the
precession. To the left the angle North and South was 5000 years ago
because of the Precession, Dholavira is one of the oldest Indus Valley
fortified city's.
The circle and the
hexagon are a
method of exacting
the exact number for
Pi using the area
instead of radius
verses
circumference this is
the link DOCX File
Astronomy Siddhaantas
                                                                                          Daniel F. Salas


The Siddhaantas (Aryabhatiya, Suryasiddhanta, Narada Purana) used a given
number of planetary revolutions.  A Mahayuga or yuga equals 4320.000 revolutions, the
moon 57753336, Jupiter 364220.  The Ardharatrikapaksa has the same numbers for
yoga the moon and Jupiter; it gives Saturn 146564, mars 2296824, Venus 7022388
and Mercury 17937020. Due to the precession of the equinox the shift through 1 degree
arc was 72 orbits today it is 71.6.   The time period for the equinoctial shift to go
through an astrological house (30 degrees) was 72 x 30 = 2160 than two houses were
2160 x 2 = 4320. The ancients multiplied the number by a factor of 1000 at the end of a
calculation they would have had to divide by 1000, today this is called in science the
precision of three decimal places.     

The planet Jupiter above was given 364220 orbits , three decimal place precision
4320.000 / 364.220 = 11.86096 here 4320 / 364.2 = 11.86161 the precise
measurement of today of one orbit of Jupiter is 11.86 earth orbits  (earth orbit equals
4320/X as a ratio).
Saturn takes 10,759 Earth days or 29.5 earth orbits. The Vedic number of 146.564 /
4320 = 29.475.

    The Siddhaantas ( Aryabhatiya , Suryasiddhanta , Narada Purana)  gave the
moon 57753336 and a Yuga  4320000 Three dicmal place precession   57753.336 /
4320 = 13.3688 x  27.32167 days per lunar orbit = 365.2587 the Julian calendar is
365.25 days of 86400 SI seconds The Earth’s rotation is slowing at a rate of 0.002
seconds per day per century.  As a result of the slowing there is a Conservation of
angular momentum the slowing of earth’s rotation is accompanied by an increase of
the mean Earth-Moon distance of about 3.8 m per century , or 3.8 m cm per orbit.

Mars in science orbits the sun in 687 earth days.  The Vedic number 2296824 for
mars in the equation 4320 / 2296.824 = 1.88  then 1.88 x 365.25636 = 686.9953 The
Martian orbit is equal to 1.8809 Earth orbits,  , 320 days , and 18.2 hours , the Vedic
numbers 4320 / 2296.824 = 1.88085.

Venus in science completes an orbit of the sun in 224.65 days.  The Vedic numbers
7022388 three decimal places 7022.388 / 4320 = 1.6255527 then 365.25636 a orbit
divided by the modern number 224.65 = 1.622589.

Mercury in science takes 88 days to complete an orbit around the sun. the Vedic
numbers 17937020 , then 17937.02 / 4320 = 4.152 and 365.25636 / 88 = 4.15064.
We are looking backwards at their calendar for their calendar start with an Epoc

Aryabhata  (476–550 CE)
In Aryabhatta's version of the value of Pi the number is reached at half a turn, a full turn of
any circle is 2 x Pi so when he explains Pi he describes one half the circumference of the earth.

चतुरधिकम् शतम् - Four more than hundred (=104)
अष्टगुणम् - multiplied by 8 (104 x 8 = 832)
द्वाषष्टि = 62
तथा सहस्राणाम् = of 1000 as such (=62000; totalling 62832)
अयुत द्वय = 10,000 x 2 (=20,000)
विष्कम्भस्य = of the diameterआसन्न: - approximately
वृत्त परिणाह: - to the circumference.In effect, 62832/20000 = 3.1416
Pi = 3.14159
Aryabhatta Pi         62832 / 20000 = 3.1416 Aryabhatta Pi
20000 / 3.1416 = 6366.4  the Actual radius
The radius at the equator 6378 x 3.14159 Pi = 20037 x 2 = 40074 2pr the actual circumference.
The radius at the poles 6354 x 3.14159 Pi = 19960 x 2 = 39920
63664 - 62832 = 832 the radius x 10 - 832    104 x 8 = 832 this cannot be a coincidence.
I was studying the Sanskrit word for axle Aksa and found the measurement of 104 Agulas 'the size
of a human'.  This measurement is Important in Astronomy as it is the reference point from the
ground "an extension Radius from the center".  I noticed Aryabhatta used the number 104 in his
equation for the number Pi 3.14159. The 104 Agulas about 5.4 feet or 0.00165384 kilometers a
reference to all sizes was multiplied by yojana 64000 to 104 kilometer or 459318 feet.
104 / 62832 = 0.001653842    Bhogavati the city is a Yojana the Radius that is the triangle
extended to 6283.2 Kl the walls are a Yojana x 10 or 62832  / 3.1416  = 20000 half the
circumference.   
The velocity of the surface of the earth (Ve) at the equator is 1668 km per hour eastward. 25920
At 60° N latitude the velocity of the surface of the earth (Ve) is 834 km per hour eastward.
832 velocity at mountain Meru, 1664 velocity at the equator and 1664 - 832 = 832 velocity at north
pole is 0


The seven Rishis is the name of the constellation the Big Dipper  [Saptarishi] in the past
this constellation lined up with the summer the 6th hour like Taurus today. The north pole moves
1 degree every 72 years in a circle called the precession of the equinox. The first star of the
Saptarishi that came the closes to the North Pole and lined up with the direction of the summer
solstice was Alkaid the last handle star 6480 years ago than the last star to line up with
the summer Solstice was Dubhe 3240 years from Polaris or 1228 BCE [Note 3240 x 2
= 6480].  When at Dubhe the North Pole was 15 degrees above the star. This changing
line through the solstices changes with respect to a conceptual fixed line starting from the
star Agasta in the south running through Polaris "Dhruva" and then the permanent
celestial pole and finally through Vega "Abhijit". This difference was measured in
Yogas 60 degrees = 4320 years. A line formed through the Solstices and the other from
Agasta too Polaris then Vega form two lines that intercept at the celestial pole.
Since Agasta or Canopus are so far south in the sky, it never rises in mid- or far-
northern latitudes; in theory the northern limit of visibility is latitude 37°18; north. The
procession of the equinox is 25920 or 4320 x 6 years and a quarter of the procession is
6480 years making the North Pole more than 23 degrees further north than today. In
4467 BCE (6480-2013) Canopus could only be seen at 12 degrees latitude that is
about 25 degrees, 37 – 25 = 12 degrees. Today the continent of India starts at 8
degrees, 6480 divided by 25 is 259.2 years per degree (this is an estimation because a
quarter of the precession is more the 23 degrees approximately 25-27 degrees more)
4467 – 3100 = 1367 and 1367 divided by 259.2 = 5.2739 degrees then 12 +
5.2739 = 17.2739 degrees this is in agreement with the latitude of the Vindhya
mountains.

When you use the star Vega {Abhijit} as a reference star just as I used a quarter of the
procession, Vega was the pole star at half of the procession from today. That is 25920
years divided by two or 12960 years ago. Again "Since Canopus is so far south in the
sky, it never rises in mid- or far-northern latitudes; in theory the northern limit of visibility
is latitude 37°18; north" and today Vega is 18h 36m56.3364s, +38° 47′ 01.291â
€³.  Vega is at +38 latitude and the visibility of Canopus today with the North Pole 1
degree east of Polaris Dhruva is +37. This Calendar would use 46 degrees and not 23
as I used above, that is a quarter of the procession and the north pole is 23 degrees
north of Polaris and 23 degrees west of the Celestial pole, that is why I used 25 above
instead of 23, if you take a line from Canopus to 23 degrees past our North pole or the
celestial pole and make Canopus the center of a circle, that circle would miss the pole
that is 23 degrees at a right angle at the celestial pole [6480 years ago]. Today Canopus
is at 06h 23m 57.1099s, −52° 41′ 44.378″ and Vega is 18h 36m 56.3364s,
+38° 47′ 01.291″ so the 6th hour is a straight line through the 18th hour and it
intersects  Abhijit , Agastya and between them dhruva (Polaris).                                                            
dhruva mf(%{A4})n. (prob. fr. %{dhR} , but cf. %{dhru} and %{dhruv}) fixed , firm ,
immovable , unchangeable , constant , lasting , permanent , eternal RV.; the                          
unchangeable longitude of fixed stars , a constant arc ib.
The unchangeable longitude of fixed stars
Longitude  is a geographic coordinate that specifies the east-west position of a
point on the Earth's surface. It is an angular measurement, usually expressed in degrees
and denoted by the Greek letter lambda (λ). Points with the same longitude lie in lines
running from the North Pole to the South Pole. By convention, one of these, the Prime
Meridian, which passes through the Royal Observatory, Greenwich, England, was
intended to establish the position of zero degrees longitude.
46 degrees above Dhruva would be the calculation of Vega, the actual is 5 degrees
more as Vega was 5 degrees south from the north pole 12960 years ago. 12960 /46 =
281.739 this is in conflict with 6480 divided by 25 is 259.2 years per degrees. Here 46
+ 5 =51 12960/51=254.1176.
In Hindu mythology, Vega is called Abhijit.   The author of Mahabharat, Maharshi Vyas,
mentions in the chapter Vana Parva (Chap. 230, Verses 8–11): "Contesting against
Abhijit (Vega), the constellation Krittika (Pleiades and 46dgrees) to "Vana" the Summer
Solstice to heat the summer. Then the star Abhijit slipped down in the sky." P. V.
Vartak suggests in his book, The Scholarly Dating of Mahabharat, that the "slipping of
Abhijit" and ascension of Krittika (Pleiades) might refer to the gradual drop of Vega as a
pole star since 12,000 BC. Vega is expected to become Earths Pole star by year
26,000 by some estimates.

Ketu is the dragon’s tail or descending node (considered in astron. as the 9th planet,
and in mythol. as the body of the demon Sain6hikeya [son of Sin6hika1] which was
severed from the head or Ra1hu by Vishn2u at the churning of the ocean, but was
rendered immortal by having tasted the Amr2ita) Hariv. 4259 R. VP. ; `" a pigmy raceâ
€�

The descending node by today’s definition is at equatorial line or equinox the
descending node in the Veda is when the sun stops rising at the summer Solstice where it
begins its descent and Vishnu who represents the Sun Sleeps for four months and there
is the actual node. azleSAbhava or m. the Ketu (or descending node)
Here Aslesa is the serpent constellation before leo this corresponds the sun at the 6th
hour perfectly matching the timing of the seal.

The seal conveys a date but the date in some way determines the written form of a
name or family.  When I realized this is happening I was confounded when you think of
the endless genealogies of the past.  The name here begins with Ketu [ke and the circle t
In the middle] the far right glyph.  The middle glyph that is separated by the imagery is
graha as in Ketu-graha this graha may be silent as a determinant, the third glyph from the
left is Aslesa the last is Bhava or Bhu. Ketu-bhu or;
ketugaNa m. the dwarfish inhabitants of Kus3a-dvi1pa (children of Jaimini) Ta1j.
ketuzRGga m. N. of a king MBh. i , 230 ; of a Muni Va1yuP.
ketumAla m. N. of a son of A1gni1dhra VP. ; of a boar R. v , 9 , 66 BhP. ; m. pl.N. of
a  people Hariv. 8227 and 8654; (%{as}, %{am}) m. n. one of the nine great divisions
of the known world (the western portion or Varsha of Jambu1-dvi1pa , called after
Ketu-ma1la) Su1ryas. VP. BhP. ; (%{A}) f. N. of a Ti1rtha MBh. iii , 8368 ff.
m. or n. the Varsha called Ketu-ma1la (q.v.) VP.

azleSAbhava or m. the Ketu (or descending node)
azleSAbhU  m. the Ketu (or descending node) L.
ketu  m. (fr. 4. %{cit}) , bright appearance , clearness , brightness (often pl. , `" rays of
light "') RV. VS. AV. ; lamp , flame , torch ib. ; day-time S3a1n3khBr. ; (Naigh.
iii , 9) apparition , form , shape RV. Pa1rGr2. ; sign , mark , ensign , flag , banner RV.
AV. MBh. &c. ; a chief , leader , eminent person RV. R. iv , 28 , 18 Ragh. ii , 33 BhP. ;
intellect , judgment , discernment (?) RV. v , 66 , 4 AV. x , 2 , 12 ; any unusual or
striking phenomenon , comet , meteor , falling star AdbhBr. Mn. i , 38 VarBr2S. BhP.
&c. ; the dragon's tail or descending node (considered in astron. as the 9th planet
, and in mythol. as the body of the demon Sain6hikeya [son of Sin6hika1] which was
severed from the head or Ra1hu by Vishn2u at the churning of the ocean , but was
rendered immortal by having tasted the Amr2ita) Hariv. 4259 R. VP. ; `" a pigmy race
"' see %{-gaNa} below ; disease L. ; an enemy L. ; N. of a son of Agni (author
of RV. x , 156) RAnukr. ; (with the patr. Va1jya) VBr. ; N. of a Da1nava Hariv. 198 ;
of a son (of R2ishabha BhP. v , 4 , 10 ; of the 4th Manu , viii , 1 , 27) ; %
{aruNA4H@keta4vaH} , `" red apparitions ", a class of spirits (a kind of sacrificial fire
is called after them %{AruNaketuka} q.v.) AV. xi , 10 , 1 f. and 7 TA1r. MBh. xii , 26
, 7
ketugraha m. the descending node (see above s.v. %{ketu}) L. ; %{-vallabha} m. = %
{-tu-ratna} Npr
Today the north celestial pole points to within just arc of Polaris
At present the polestar is Polaris.                                                                                                   
Thuban  was the pole    (α Draconis) was closest to the North Pole about 2700 BC,Polaris. It will point
closest to Polaris about 2100 Ce
I have been told to find a calendar based on the Precession is an effort in futility.  To have calculated
the math for these equations they would have had a precise method of execrating the position of one
pole that all measurements are made.  This means they had a grasp of exactly what was going on with
this pole and how it was moving in a circular path that intersected Thuban and was headed towards
Polaris. What I am trying is to establish is the Vedic time period of the Indus Valley Script I believe the
seals to be family names that have there place in chronological time.
4320 a yoga - 2100 = 2220
4320 - 2020 = 2300

My point is the time 2300 BC is the
time of Krishna and the end of the
Dvipar Age. Naram-Sin. Sin or Suen
being the Akkadians' moon god  
reigned ca. 2254–2218 BCE, middle
chronology, was the third successor
and grandson of King Sargon Akkad.
He attacks Dilium Millihue.  At this time
in history the chariot makes it's
appearence on the battle field just like
pre Mahabarata no horse and chariot.

Mesopotamia changes from Solar race
of kings to Lunar because of events in
the Indus Valley.
Dholavira Indus Valley
True horizon as the horizon you would
have in the absence of obstructions a
mountain to the east or west or a
depression.

This ideal or true horizon is typically
rarely seen. Your apparent horizon is
defined by the ground obstructions
around you.

The true horizon is the primary great
circle of the observer's coordinate
system, and divides sky in half (half of
the sky is above the true horizon).

According to the author of a
commentary on Amarakosha, the word
Vindhya derives from the Sanskrit word
"Vaindh" (to obstruct).
The diameter of
the circle is
.5555 kilometers.