Appendix II — Solar system data

EARTH AXIAL PRECESSION ORBIT (EAPO)

EAPO Orbital circumference: 2,566,365.09 km
EAPO Orbital Ø : 816,899.38 km
EAPO Orbital radius : 408,449.69 km
EAPO Orbital speed : 0.0124476937 km/h
Earth moves by 0.29874465 km each day so by 109.1141619 km each year

Axial Precession is running backwards (the zodiac ring is moving backwards in time)

SUN INCLINATION PRECESSION ORBIT (SIPO)

Current difference aphelion - perihelion = eccentricity : 1.67089 AU

SIPO Orbital circumference Average difference aphelion - perihelion: 13,205,016.43 km
SIPO Orbital Ø Average difference aphelion - perihelion: 4,203,287.28 km
SIPO Orbital radius Average difference aphelion - perihelion: 2,101,643.64 km
SIPO Orbital speed Average difference aphelion - perihelion: 0.0147804380 km/h
Sun’s HELION POINT (a.k.a. Barycenter) moves by 0.354730512 km each day so by 129.5625631 km each year.

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

CYCLES

305,760 / 1 (Fibonacci) = 305,760 years
305,760 / 3 (Fibonacci) = 101,920 years
305,760 / 5 (Fibonacci) = 61,152 years
305,760 / 8 (Fibonacci) = 38,220 years
305,760 / 13 (Fibonacci) = 23,520 years

305,760 / 16 = 19,110 years

Obliquity cycle : 305,760 years
Eccentricity cycle: 19,110 years
Year length cycle : 19,110 years

HELION POINT moves 16 times around Earth in 305,760 years SUN moves 307,747 times around Earth in 305,760 years

Inclination precession cycle (against ICRF) : 101,920 years = SIPO
Mean Inclination precession rate : 1 296 000 arcseconds in 101,920 years
Mean Inclination Precession rate : 12.71585557 arcseconds a year (a.k.a. “apsidal precession”)

Inclination precession cycle (against ecliptic): 61,152 years
Mean Inclination precession rate : 1 296 000 arcseconds in 61,152 years
Inclination precession cycle : 21.19309262 arcseconds a year

Axial precession cycle : 38,220 years (against Ecliptic) Mean Axial precession rate : 1 296 000 arcseconds in 38,220 years Axial precession cycle : 33.90894819 arcseconds a year

Axial precession cycle (against ICRF): 23,520 years = EPO
Mean Axial precession rate : 1 296 000 arcseconds in 23,520 years
Mean Axial precession rate : 55.10204082 arcseconds a year (a.k.a. “precession of the equinoxes”)

Perihelion precession cycle : 19,110 years
Solstice/equinox meets aphelion/perihelion every 19,110 years
Mean Apsidal precession rate : 1 296 000 arcseconds in 19,110 years
Perihelion precession cycle : 67.81789639 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 1800 AD.

The MEAN solar day length of a solar day is 86,399.6680429597 SI seconds a day.

The MEAN solar day in hours: 23.99990779 hours a day

The MEAN sidereal day is 86,163.7595071477 SI seconds a day.

The MEAN ratio solar day – sidereal day is 1.002 737 909 036 950.

The MEAN true sidereal day in SI seconds : 86,163.7695098871 seconds

EARTH CYCLES IN DAYS AND YEARS

CURRENT J2000 Solar year (tropical year) : 365.242189609663 days a year
CURRENT J2000 Solar year (tropical year) : 31,556,925.1822749 SI seconds a year (days of 86,400 SI seconds a day)

CURRENT J2000 Sidereal year : 31,558,149.7180142 SI seconds a year

CURRENT J2000 Sidereal year : 365.256362477016 days a year (days of 86,400 SI seconds a day)

CURRENT J2000 Anomalistic year : 365.259633294917 days a year (days of 86,400 SI seconds a day) CURRENT J2000 Anomalistic year : 31,558,432.3166809 SI seconds a year (days of 86,400 SI seconds a day)

MEAN Solar year (mean tropical year) : 365.242229199372 days a year
MEAN Solar year (mean tropical year) : 31,556,807.3580963 SI seconds a year (days of 86,399.6680429597 SI seconds a day)

MEAN Sidereal year : 31,558,149.116137 SI seconds a year MEAN Sidereal year : 365.257758865991 days a year (days of 86,399.6680429597 SI seconds a day)

MEAN Anomalistic year : 365.261342822754 days a year
MEAN Anomalistic year : 31,558,458.7688116 SI seconds a year

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

The biggest cycles are mentioned below: Mean Sidereal month : 27.3216596085109 days (305,760 / 4,087,470)
Mean Rotational period (around its axis) : 27.3216596085109 days (same as sidereal period due to tidal lock)
Mean Synodic month : 29.5305774642934 days (305,760 / 3,781,723)
Mean Anomalistic month : 27.554555454065 days (305,760 / 4,052,922)
Mean Draconic month or nodal period : 27.212217424899 days (305,760 / 4,103,909)
Mean Tropical month : 27.3215727135746 days (305,760 / 4,087,483)
Mean Full Moon cycle (ICRF) : 411.7681519 days (305,760 / 271,212)
Mean Full Moon cycle (Ecliptic): 411.7878901 days (305,760 / 271,199)
Mean Draconic year (ICRF): 346.6071093 (305,760 / 322,199)
Mean Draconic year (Ecliptic): 346.6210946 days (305,760 / 321,186)
Mean Apsidal precession (Ecliptic) : 3231.285669 days = 8.846966234 years (305,760 / 34,561)
Mean Apsidal precession (ICRF) : 3232.501563 days = 8.850295241 years (305,760 / 34,548)
Mean Nodal precession (ICRF) : 6793.385486 days = 18.59967151 years (305,760 / 16,439)
Mean Nodal precession (Ecliptic) : 6798.761963 days = 18.61439182 years (305,760 / 16,426)
Mean Nodal meets Apsidal precession every : 2190.292898 days = 5.99682272 years (305,760 / 50,987)
Mean Royer Cycle : 6166.90397 days = 16.88442211 years (305,760 / 18,109)

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 : 0.01670890 AU

The Sun orbits 939,951.143.16 km in a Sidereal Year of 31,558,149.7180142 SI seconds a year = 107,225.0479 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 939,951,125.23 km.
Orbital Ø: 299,195,735.69 km
Orbital radius 149,597,867.85 km. = 1 AU (Average Earth-Sun distance)
Mean difference aphelion - perihelion = eccentricity : 0.01431148 AU

The Sun orbits 939,951,125.23 km in a Mean Sidereal Year of 31,558,149.116137 SI seconds a year = 107,225.0479 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
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() / 648000 * 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

305,760 / 1,269,504

Each 19,110/4 years MERCURY moves 0 degrees as seen from Earth. In 4777.5 years the location of MERCURY as seen from Earth is the same.

VENUS

305,760 / 497,012

Each 19,110/4 years VENUS moves +67.5 degrees as seen from Earth. In 76,440 years the location of VENUS as seen from Earth is the same.

MARS

305,760 / 162,572

Each 19,110/4 years MARS moves -67.5 degrees as seen from Earth. In 76,440 years the location of MARS as seen from Earth is the same.

JUPITER

305,760 / 25,788

Each 19,110/4 years JUPITER moves +22.5 degrees as seen from Earth. In 76,440 years the location of JUPITER as seen from Earth is the same.

SATURN

305,760 / 10,392

Each 19,110/4 years SATURN moves -135 degrees as seen from Earth. In 38,220 years the location of SATURN as seen from Earth is the same.

URANUS

305,760 / 3,652

Each 19,110/4 years URANUS moves -22.5 degrees as seen from Earth. In 76,440 years the location of URANUS as seen from Earth is the same.

NEPTUNE

305,760 / 1,868

Each 19,110/4 years NEPTUNE moves -67.5 degrees as seen from Earth. In 76,440 years the location of NEPTUNE as seen from Earth is the same.

For other planet characteristics, see the Google sheet “Dummy_Universe”