One may ask how the 3D plot of the Moon's position was created. First one needs to convert distance, RA and DEC data into x, y & z coordinates. Then one needs to select a point for the focus of attention, f, and the relative observer position and the positions of eyes.
The direction vectors associated with spherical coordinates were used to determine a frame of reference for each eye. To keep track of everything it helps to run a check on the intersection of the lines of sight of each eye, f '.
After translating the original x, y, z positions one gets the following 3D image.
The left eye is the cyan curve and the right eye is red.
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