Appendix I — Solar system data
AXIAL PRECESSION ORBIT (APO)
APO Orbital circumference: 1,345,079.78 km APO Orbital Ø : 428,148.66 km APO Orbital radius : 214,074.33 km APO Orbital speed : 0.0059724188 km/h
Earth moves by ~0.006 km each day AROUND THE EARTH-WOBBLE-CENTER
Axial Precession is running backwards (the zodiac ring is moving backwards in time)
INCLINATION PRECESSION ORBIT (IPO)
J2000 value difference aphelion - perihelion = eccentricity : 1.671022 AU
IPO Orbital circumference Average difference aphelion - perihelion: 14,397,389.51 km IPO Orbital Ø Average difference aphelion - perihelion: 4,582,378.36 km IPO Orbital radius Average difference aphelion - perihelion: 2,291,189.18 km IPO Orbital speed Average difference aphelion - perihelion: 0.0147804564 km/h
Looking from Earth, Sun’s PERIHELION-OF-EARTH (a.k.a. Sun-Earth Barycenter) moves by ~0.015 km each day AROUND THE SUN.
Inclination Precession is running forwards (the zodiac ring is moving forwards in time)
CYCLES
333,888 / 1 (Fibonacci) = 333,888 years
333,888 / 3 (Fibonacci) = 111,296 years
333,888 / 5 (Fibonacci) = 66,778.2 years
333,888 / 8 (Fibonacci) = 41,736 years
333,888 / 13 (Fibonacci) = 25,683.69231 years
333,888 / 16 = 20,868 years
Obliquity cycle : 333,888 years
Eccentricity cycle: 20,868 years
Year length cycle : 20,868 years
PERIHELION-OF-EARTH moves 16 times around Earth in 333,888 years
SUN moves 333,875 times around Earth in 333,888 years
Inclination precession cycle (against ICRF) : 111,296 years = IPO Mean Inclination precession rate : 11.64507874 arcseconds a year (a.k.a. “apsidal precession”)
Inclination precession cycle (against ecliptic): ~66,778 years Mean Inclination precession rate : 19.40798168 arcseconds a year
Obliquity cycle : 41,736 years (against Ecliptic) Mean Obliquity cycle rate : 31.05306042 arcseconds a year
Axial precession cycle (against ICRF): ~25,684 years = APO Mean Axial precession rate : 50.46103407 arcseconds a year (a.k.a. “precession of the equinoxes”)
Perihelion precession cycle : 20,868 years Solstice/equinox meets aphelion/perihelion every 20,868 years Mean Perihelion precession rate : 62.10609449 arcseconds a year
EARTH
Equatorial circumference : 40 075.02 km
Mean diameter Ø : 12 756.27 km
Mean radius : 6378.14 km
EARTH CYCLES IN DAYS AND YEARS
MEAN Solar year (mean tropical year) : 365,2421890 days a year
MEAN Sidereal year : 31,558,153.91 SI seconds a year (365.2564103 days)
MEAN Anomalistic year : 31,558,467.2136858 SI seconds a year (365.261872819962 days of 86,399.5657965675 SI seconds a day)
MOON
Mean diameter Ø : 3 474.8 km
Orbital circumference : 2 415 250.59 km
Orbital Ø : 768 798.14 km
Orbital radius: 384 399.07 km (Average Earth-Moon distance)
Closest Perigee on record: 356 375 km (Jan 4, 1912)
Most distant Apogee (predicted on Feb 3, 2125) : 406 720 km
MOON CYCLES
Sidereal month 27.3216583887 days
Synodic month 29.5305811782 days
Anomalistic month 27.5545536314 days
Draconic month (a.k.a. nodal period) 27.2122179337 days
Tropical month 27.3215761379 days
Full Moon cycle ICRF 411.7665207232 days
Full Moon cycle Earth 411.7867608414 days
Draconic year ICRF 346.6074275875 days
Draconic year Earth 346.6217687161 days
Apsidal precession ICRF 3,231.2627581296 days (8.8469024448 years)
Apsidal precession Earth 3,232.5095722894 days (8.8503161082 years)
Nodal precession ICRF 6,799.0061181171 days (18.6150580597 years)
Nodal precession Earth 6,793.4926080719 days (18.5999625725 years)
Nodal precession meets Apsidal precession 2,190.3077108725 days (5.9968625558 years)
Royer Cycle 6,166.8448471122 days (16.8842582106 years)
SUN
Mean diameter Ø : 1 392 684 km
CURRENT J2000 values for AU:
Orbital circumference is 939,951.143.16 km.
Orbital Ø: 299,195,741.4 km
Orbital radius 149,597,870.698828 km. = 1 AU (Average Earth-Sun distance)
difference aphelion - perihelion = eccentricity : 0.01671022 AU
The Sun orbits 939,951.143.16 km in a Sidereal Year of 31,558,149.7591856 SI seconds a year = 107,225.047767 km/h (with days of 86,400 SI seconds a day = 24 hours a day)
MEAN values for AU (so we need to change the AU constant at one moment in time):
Orbital circumference is 939,951,140.94 km.
Orbital Ø: 299,195,740.69 km
Orbital radius 149,597,870.35 km. = 1 AU (Average Earth-Sun distance)
Mean difference aphelion - perihelion = eccentricity : 0.01404862 AU
The Sun orbits 939,951,140.94 km in a Mean Sidereal Year of 31,558,153.91 SI seconds a year = 107,225.033378 km/h (with days of 86,400 SI seconds a day = 24 hours a day)
PARALLAX CALCULATIONS
There are 1,296,000 seconds of arc in a circle
1 arcsecond of Sun displacement as viewed from Earth = 725.270943796471 km CURRENT VALUE
The Sun orbit 939,951,143.160226 km / 1,296,000 = an angular diameter of 1″ = an object of diameter 725.270943796471 km at a distance of 1 astronomical unit (AU)
One parsec = 648000 / PI() * 149,597,870.698828 = 30,856,775,814,671.9 km
The relation to a parsec = 2*PI() / 1,296,000 * 1 AU in km = PI() / 648,000 * 149,597,870.698828 = 725.270943796471 km
The relation to a parsec = 149,597,870.698828 / 725.270943796471 = 206,264.806247096 AU
The relation to a parsec = 206,264.806247096 * 149,597,870.698828 = 30,856,775,814,671.9 km
Solar parallax = 6,378.1369994839 / 725.270943796471 = 8.794143836 arc seconds
The distance to the sun is just the radius of the earth divided by the solar parallax, times the factor to convert arc seconds to “radians” = 6,378.1369994839 / 8.794143836 * 206,264.806247096 = 149,597,870.698828 km
MERCURY
333,888 / 1,386,291
VENUS
333,888 / 542,734
MARS
333,888 / 177,528
JUPITER
333,888 / 28,160
SATURN
333,888 / 11,349
URANUS
333,888 / 3,988
NEPTUNE
333,888 / 2,035
For other planet characteristics, see the Interactive 3D Solar System Simulation or the Excel sheets