Jupiter


The illustration on the right side of this page shows the Dendera Zodiac in its natural state with no rotations applied to the stones and with the God that represents Jupiter, already identified by scholars in the past from its hieroglyph inscription, highlighted in the night sky circle. The decryption rotations need to be applied to the stone circles to be able to start to analyse the manner in which Jupiter is encoded into the carving, which can be performed by clicking the next button.


To decrypt Jupiter's formation geometry the system needs to be analysed to determine how to create an intersection point on one of the sculpture's circular rings which falls in line with the staff of the Jupiter God using only angles that are extracted from the ephemeris data of Mars on the previous page and using the astronomy lines from the Mars system. This analysis was done on a vector graphics programme and it was found that an additional circle is required, just as on the Mars geometry, but this time located equidistant between the outer 500cm circumference circle of the Decan ring and the inner ridge ring upon which all the Decan Gods are walking. This additional circle provides the alignment with the Jupiter staff, with the construction of the Mars astronomy lines centered on the second focal point of Mars' orbit, the switch of focal points being identical to that seen when the Mars geometry was created. The three Decan ring circles and Mars celestial axes can be displayed on the illustration by clicking the following button.




1) RESOLVING THE FRAMEWORK OF JUPITER



To create the first intersection point the N-S celestial axis of Mars needs to be rotated clockwise by 53.10226136239251 around the celestial axes origin , this angle being the inclination of the orbit of Mars taken from table 12 on the previous page with the integer portion of the number removed and the decimal portion then multiplied by 100. The resulting line and the yellow intersection point on the middle of the three circles can be plotted onto the illustration using the next button.


The intersection point is directly in line with the staff of the Jupiter God. The angle of the staff line can be determined by working out the angular difference between it and the E-W celestial axis line and is 19.679206571447295 degrees. This angle is derived from the Mars ephemeris data also and is the orbital period of Mars divided by 2000 to give the angle in radians of 0.34346694885 which is the angle just described, but in radian measure rather than degrees. The staff line can now be drawn onto the illustration , passing through the intersect point, by clicking the following button


The intersection point of the staff line with Mars' E-W celestial axis line dictates the location of the point at the hand of the Jupiter God, the distance from the first intersect point to the point on the E-W axis being the same as the distance from that point to the hand of the God. This mechanism ensures that the geometry has been correctly created.

The next step is to rotate and move the celestial axes from their current position so that their origin becomes the hand of the Jupiter God and with the celestial north direction being on the right side of the illustration. The axes can be animated into position by clicking the next button.

2) SOLVING JUPITER USING NASA DE441 DATA



The construction lines and circles used in the formation geometry can be removed from the illustration by clicking the next button, leaving just Jupiter's celestial axes and the Jupiter God on the illustration.


It is now possible animate the three principal astronomy angles onto the illustration in the same manner as was done on all previous pages. In order to do this the NASA ephemeris data is required for the Jupiter planet system, which includes Jupiter and its numerous moons rotating around a common barycenter, at the moment given in DE441 for the geometric winter solstice of 2729 BCE.
Jupiter system Barycenter
Standard Gravitational Parameter (GM):

Ephemeris:

Event:

Date:

System center:

Reference frame:

Reference plane:
Osculating elements
e
Orbit eccentricity

QR
Periapsis distance (AU)

IN
Orbit Inclination (deg)

OM
Longitude of ascending node (deg)

W
Argument of periapsis (deg)

TP
Time of periapsis (JD)

N
Mean motion (deg/day)

MA
Mean anomaly (deg)

TA
True anomaly (deg)

a
Semi major axis (AU)

b
Semi minor axis (AU)

AD
Apoapsis distance (AU)

PR
Orbit period (day)
State vectors
X
X (AU)

Y
Y (AU)

Z
Z (AU)

Table 13 - The data for the Jupiter planet system at the DE441 geometric winter solstice in the year 2729 BCE


The first of the astronomy angles that needs animating is the longitude of the ascending node angle of the Jupiter planet system's orbit projected from the ICRF reference plane onto the plane of the orbit of The Moon, which is the plane of the Dendera Zodiac. This can be shown on the illustration by clicking the following button. There are no significant carving alignments for this angle.


The argument of periapsis is the next angle that can be plotted by clicking the following button, again with no alignment carving showing up.


The focal points of the orbit of the Jupiter planet system can now be marked onto the green apsis line.


The final of the three principal astronomy angles is the true anomaly and this can be animated onto the illustration by clicking the next button, where once again there are no carvings that align with this angle. The angle is very close to 180 degrees and therefore the green apsis line and the blue true anomaly line end up close together.


The coloured arcs can be removed from the animation to leave just the celestial axes and the three principal astronomy angles of Jupiter by clicking the next button.


The geometric system finishes with the movement of the astronomy lines and celestial axes that was seen on the previous pages, but this time they are moved to the western focal point of the planet system's orbit. As with the previous system for Mars, the geometry lines are also rotated by 90° clockwise during the translation of their center point onto the focal point. This transition can be animated onto the illustration by clicking the following button.


The alignment carvings appear at this stage and can be highlighted by clicking on the following button.


On the left side, the eastern celestial axis aligns along the chest of the falcon God. At the bottom, the northern section of the celestial axes, the red line and the green and blue lines of the principal astronomy angles loosely align parallel to the shape of the legs of both the falcon Gods, but this section of the sculpture also contains damage and the architects of the Dendera Zodiac are showing that these carving alignments are not meant to be precise and not meant to be used, they are guidelines to help the eye, forcing the puzzle solver to use a new method to verify the geometry.

The way that the system's geometric alignments can be verified is to use the value of GM for Jupiter and make sure that this has a clearly defined carved section. This can be checked by taking the value of GM for Jupiter from the raw NASA DE441 data in table 13, 126712764.1, splitting it into its component parts that will be used in the next section when the data is being extracted, 126, 71, 276 and 41, adding these together to give 514, modulating by 360 degrees to leave 154 degrees. This angular value can be plotted onto the illustration as a line rotated around the celestial axes center point starting from the north direction, and the resulting location of that line can be seen by clicking the following button.


The alignment of the GM line with the falcon God's straight chest section is shown with the yellow circle, and with the fifth of that God's toes with the smaller yellow circle at the very top of the illustration, indicating the fifth planet, and the geometry can be seen to be correct.

3) EXTRACTING THE EPHEMERIS DATA FOR JUPITER


The illustration can now be set up with the celestial axes and the gravity marker point so that it is ready for the extraction of the numerical data from the Dendera Zodiac sculpture. The gravity marker is the mini planet system at the bottom left of the sculpture which has been used on all the previous pages.


Longitude of the ascending node (deg)
DE441 value: 3.66783002633165400
Corrected value : 3.66783002633165623
NASA:    DENDERA:
These angles are projected onto the Dendera Zodiac from the reference plane.

Argument of periapsis (deg)
DE441 value: 2.57412761220113
Corrected value : 2.57412761220114
NASA:    DENDERA:

Mean anomaly (deg)
DE441 value: 180.2656609905833
Corrected value : 180.2656609905835
NASA:    DENDERA:

Orbit eccentricity
DE441 value: 0.0402771899609648900
Corrected value : 0.0402771899609648908
NASA:    DENDERA:

Orbit inclination (deg)
DE441 value: 23.3657655050420200
Corrected value : 23.3657655050420245
NASA:    DENDERA:

Semi minor axis (AU)
DE441 value: 5.198458990249053
Corrected value : 5.1984589902490438
NASA:    DENDERA:

Orbital period (days)
DE441 value: 4332.4340369194450
Corrected value : 4332.4340369194476
NASA:    DENDERA:

GMearth (km3 s-2)
DE441 value: 126712764.100000
Corrected value : 126712764.123776
NASA:    DENDERA:

The GM value for Jupiter uses two alignment mechanisms to ensure that the value can be extracted to the required precision. The first alignment is to the falcon God's chest at the top of the carving which, as explained earlier on this page, is the marker for the NASA DE441 value of GM. The second alignment mechanism is the Standard Gravitational Parameter carving at the lower left that has to be used on every planet system, which adds the correction to the DE441 value.

4) THE DENDERA EPHEMERIS DATA FOR JUPITER

The full ephemeris data for the Jupiter planet system at the moment of the geometric winter solstice in 2729 BCE, taken entirely from the Dendera Zodiac, is shown below in table 14. The values in the table that were not directly extracted from the stonework have been calculated from the extracted values using the software than runs this website by applying standard celestial mechanics formulae.
Jupiter system barycenter
Standard Gravitational Parameter (GM):

Ephemeris:
(DE441 conditions)

Event:

Date:

System center:

Reference frame:

Reference plane:
Osculating elements
e
Orbit eccentricity

QR
Periapsis distance (AU)

IN
Orbit Inclination (deg)

OM
Longitude of ascending node (deg)

W
Argument of periapsis (deg)

TP
Time of periapsis (JD)

N
Mean motion (deg/day)

MA
Mean anomaly (deg)

TA
True anomaly (deg)

a
Semi major axis (AU)

b
Semi minor axis (AU)

AD
Apoapsis distance (AU)

PR
Orbit period (day)


State vectors
X
X (AU)

Y
Y (AU)

Z
Z (AU)

Table 14 - The corrected data for the Jupiter system at the time corrected geometric winter solstice in the year 2729 BCE