Appendix II — Solar system data

AXIAL PRECESSION ORBIT (APO)

APO Orbital circumference: 2,897,032.81 km
APO Orbital Ø : 922,154.18 km
APO Orbital radius : 461,077.09 km
APO Orbital speed : 0.0144089324 km/h
Earth moves by 0.345814377 km each day so by ~126.31 km each year 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: 12,877,499.82 km
IPO Orbital Ø Average difference aphelion - perihelion: 4,099,035.50 km
IPO Orbital radius Average difference aphelion - perihelion: 2,049,517.75 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 0.354730953 km each day so by ~129.6 km each year AROUND THE SUN.

Inclination Precession is running forwards (the zodiac ring is moving forwards in time)

CYCLES

298,176 / 1 (Fibonacci) = 298,176 years
298,176 / 3 (Fibonacci) = 99,392 years
298,176 / 5 (Fibonacci) = 59,635.2 years
298,176 / 8 (Fibonacci) = 37,272 years
298,176 / 13 (Fibonacci) = 22,936.61538 years

298,176 / 12 = 24,848 years
298,176 / 14 = 21,298.28571 years
298,176 / 15 = 19,878.4 years
298,176 / 16 = 18,636 years

Obliquity cycle : 298,176 years
Eccentricity cycle: 18,636 years
Year length cycle : 18,636 years
Mercury perihelion precession cycle : 24,848 years

PERIHELION-OF-EARTH moves 16 times around Earth in 298,176 years SUN moves 298,163 times around Earth in 298,176 years

Inclination precession cycle (against ICRF) : 99,392 years = SIPO
Mean Inclination precession rate : 13.03927882 arcseconds a year (a.k.a. “apsidal precession”)

Inclination precession cycle (against ecliptic): ~59,635 years
Mean Inclination precession rate : 21.73213136 arcseconds a year

Obliquity cycle : 37,272 years (against Ecliptic)
Mean Obliquity cycle rate : 34.77141017 arcseconds a year

Axial precession cycle (against ICRF): ~22,937 years = APO
Mean Axial precession rate : 56. 50354153 arcseconds a year (a.k.a. “precession of the equinoxes”)

Perihelion precession cycle : 18,636 years
Solstice/equinox meets aphelion/perihelion every 18,636 years
Mean Perihelion precession rate : 69.54282035 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 SECONDS

The solar day should ideally be 86,400 SI seconds a day. The length of a SI second is however artificially chosen and corresponds to the length of a solar day around 1820 AD.

The MEAN length of a solar day is 86,399.5657965675 SI seconds a day.

The MEAN sidereal day is 86,163.6575681587 SI seconds a day.

The MEAN stellar day in SI seconds : 86,163.6669758971 seconds

EARTH CYCLES IN DAYS AND YEARS

MEAN Solar year (mean tropical year) : 365,242273019961 days a year
MEAN Solar year (mean tropical year) : 31,556,772.799476 SI seconds a year (days of 86,399.5657965675 SI seconds a day)

MEAN Sidereal year : 31,558,149.6846777 SI seconds a year (365.258197697233 days of 86,399.5657965675 SI seconds a day)

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 meets Apsidal precession 2,190.3077108725 days (5.9968625558 years)
Royer Cycle 6,166.8448471122 days (16.8842582106 years)
Number of Royer cycles per perihelion precession cycle 1,103.75 times

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 31,558,149.6846777 SI seconds a year = 107,225.047767 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

298,176 / 1,238,017

VENUS

298,176 / 484,684

MARS

298,176 / 158,539

JUPITER

298,176 / 25,148

SATURN

298,176 / 10,134

URANUS

298,176 / 3,560

NEPTUNE

298,176 / 1,817

For other planet characteristics, see the Interactive 3D Solar System Simulation or the Excel sheets