Uranus

Uranus is the first of the solar system planets that cannot be directly seen from the Earth using the naked eye. The Dendera Zodiac carvings reflect this situation in the logic of its design by providing a God character to represent the planet that is also not direct. In Greek mythology the God Cronus was the leader of the Titans, was the son of Uranus, and was responsible for attacking his father with a sickle and overthrowing him. The planet Uranus is represented on the Dendera Zodiac by the God Cronus who is holding the famous sickle in his hands.

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 Cronus, indirectly representing Uranus, 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 Uranus is encoded into the carving, which can be performed by clicking the next button.


The starting lines and circles for the formation geometry of Uranus can now be added to the illustration using the experience from the previous pages where the principal astronomy angle lines of the previous planet, Saturn, are moved to the opposite focal point to the one that was used to solve that planet's geometry system. The three astronomy angles and the focal points of the Saturn planet system's orbit can be shown on the illustration by clicking on the following button.

1) RESOLVING THE FRAMEWORK OF URANUS

If you look at the design of the Uranus God carving you can see that the forearm of the God's left arm is a perfect bisector of the green and blue lines from the Saturn system, those being the apsis line and the true anomaly line respectively. The angle of this bisector on the orbital ellipse of Saturn's planet system relative to the apsis line is therefore half the true anomaly value.

The Uranus system has to be fully solved to understand how the hand of the Uranus God is positioned along this bisector line, because at the end of the system the X coordinate of the celestial axes of Uranus has a value of zero by design. It is therefore necessary to investigate which of the ephemeris parameters are required to achieve the X coordinate value of zero. This investigation results in the bisector line length being derived from the Uranus ephemeris data (rather than the previous planet's data) and is the minor axis length of the orbit of Uranus minus the semi-major axis length, or 2b-a. This value is given in the ephemeris in units of AU, which need to be converted into centimeters when drawn onto the sculpture and has a value of 19.256815461576956 cm . The angle bisector line and the hand of the Saturn God can be marked onto the illustration by clicking the following button.


The celestial axes can now be animated into their new position with the origin located at the hand of the Saturn God and the north axis pointing towards the bottom of the screen.

2) SOLVING URANUS USING NASA DE441 DATA

The construction lines from the Saturn planet used in the formation geometry can be removed from the illustration by clicking the next button, leaving just Uranus' celestial axes and the URANUS 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 Uranus planet system, which includes Uranus and its numerous moons rotating around a common barycenter, at the moment given in DE441 for the geometric winter solstice of 2729 BCE.

The first of the astronomy angles to be animated is the longitude of the ascending node angle of the Uranus 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.


The argument of periapsis is the next angle that can be plotted by clicking the following button.


The focal points of the orbit of the Uranus 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.


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


The geometric alignments can be checked by making sure that the GM line for Uranus points to a distinctly carved principal feature of the Dendera Zodiac. This can be checked by taking the value of GM for Uranus from the raw NASA DE441 data in table 17, 5794556.4, splitting it into its component parts that will be used in the next section when the data is being extracted, 57, 94, 55 and 64, adding these together to give 270 degrees. This angular value can be plotted onto the illustration as a line rotated clockwise around the celestial axes center point starting from the celestial north direction, and the resulting location of that line can be seen by clicking the following button.


Because the celestial axes are parallel to the axes of the Dendera Zodiac and the GM alignment angle is 270°, the GM line runs along the western celestial axis towards the top of the illustration.

The geometric system finishes with the movement of the astronomy lines and celestial axes that was seen on the previous pages and are moved to the western focal point of the planet system's orbit. Unlike the previous systems, the geometry lines are not rotated during the translation of their center point onto the focal point. This transition can be animated onto the illustration by clicking the following button.


As can be seen on the illustration, the GM alignment line now runs up the page parallel to the Y axis of the Dendera Zodiac and runs through the knees of the falcon Gods at the top of the sculpture where the damaged section of stonework is located. This means that the GM alignment line must be running along the Y axis. This has been deliberately designed to happen on the geometry of the Uranus planet system so that when the Moon and the seven planet systems have all been correctly formed, there is a mathematical cross check built into the system which will show up any errors in the geometry and astronomy calculations across all eight of the preceding pages. In the software running this website the X axis coordinate of the origin of the celestial axes for Uranus is 1.12 x 10^-12 cm showing that the astronomy and geometry has been correctly carried out and contains zero error - the javascript and hardware is at its limit of precision for the 16 bit length being used in the calculations.

The reason that the error is zero is because there is a second carved character in the Dendera Zodiac that portrays Uranus and which can only be identified once the geometry has been concluded which allows error checking to be performed. Click the following button to add the second Uranus carving to the illustration.


This character is the largest of the carvings on the inner night sky stone ring of the Dendera Zodiac, is carved as a mother figure, and is aligned with the two focal points of the lower Uranus indirect God Cronus. The alignments with the focal points can be displayed by clicking the following button which shows two lines coming from the two focal points, the left line set at 4.5° to north which runs up the mane of the character and the right one set at 9.0° to north which runs up the object that the character is holding in its hand.


This character and the alignments have not been added for artistic merit. The two black alignment lines intersect with each other at the top of the illustration in the approximate middle of the hieroglyph ring and show you that if you have an error in the X axis coordinate of the origin of the celestial axes when you have reached this stage then the error is located in the value of the semi minor axis of the Moon, because the hieroglyph circle is created directly from this parameter. It was by using this error checking mechanism that the error margin in this work was minimised to zero by reconsidering the Moon angle rotations presented earlier on the Moon data page. The use of the 4.5° and 9.0° angles and the approximate nature of the alignment on the hieroglyph ring is to show that this geometry construction is disposable and included just for the purpose of the error check.

The procedure for the error correction and calibration is to adjust the semi minor axis of the Moon so that the Uranus celestial axes origin's X coordinate becomes almost zero and no further adjustment can be made. Then the eccentricity of the orbit can be refined to bring the Uranus coordinate value to zero. Because the angular rotation of the eccentricity on the Moon data page shares its line alignment with the longitude of the ascending node line, both of which align as a tangent to the Moon ellipse carving, the longitude of the ascending node value is also calibrated at the same time. Because the true anomaly for the Moon is determined from an equation which involves the longitude of the ascending node, the true anomaly also ends up calibrated. The system is superbly designed and ensures that the high precision data for the Moon is correct.

3) EXTRACTING THE EPHEMERIS DATA FOR URANUS

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.



The GM value for Uranus uses two alignment mechanisms to ensure that the value can be extracted to the required precision. The first alignment is the Y axis line that runs up through the knees of the upper falcon Gods and which shows the NASA DE441 value of GM. The second alignment is with the Standard Gravitational Parameter marker which then adds the correction to the DE441 value.




The shadow on the image at this alignment point is not a true representation of the head carving's angle. Close up photography shows that this alignment line is correctly positioned.

4) THE DENDERA EPHEMERIS DATA FOR URANUS

The full ephemeris data for the Uranus planet system at the moment of the geometric winter solstice in 2729 BCE, taken entirely from the Dendera Zodiac, is shown below in table 18. 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.

Next page - Neptune