THE SINGLE BODY BREAKUP HYPOTHESIS FOR THE SOLAR SYSTEM

INTRODUCTION PAPER

Some of the Relationships within the Solar System

Discovered While Studying the Single Body Breakup Hypothesis

  1. Sum of the forces of Mercury, Venus, Earth, and Mars on Point X equals the sum of the forces of Uranus and Neptune on the same point, where Point X is at:

dX = [Sum(Mx)/Sum(Mx/dx2)]1/2 = 5.3 AU,

where Mx = mass of a planet, dx = distance of the planet from the Sun,

Sum(Mx) = mass of ALL the planets and satellites.

  1. The sum of the angular momenta of the planets ignoring Saturn about the point X of item A above is very closely but slightly smaller (as it should be) than the sum of the angular momenta of the same planets about the Sun.

  1. Orbit distances of the planets about the Sun (Neptune excepted but explainable) is:

d = 2 x 0.724n,

where d = the distance in astronomical units

n = 5, 3, 2, 1, -1 (Ceres), -3, -5, -6 (Chiron), -7, -9 (Pluto - poor).

  1. The orbit speeds of the planets are related by the formula:

orbit speed in km.sec-1 = 12.9 x 1.23n,

where 12.9 is the orbit speed at dX of item A,

n = +6 Mercury (poor), +5 Venus, +4 Earth, +3 Mars, 0 Jupiter, -3 Uranus, -4 Neptune, -5 Pluto.

The speed of Saturn lies midway between the n = -1 and -2 speeds; the speed of Ceres midway between the n = +1 and +2 speeds. The n = +1 and +2 values also closely delimit the asteroid belt.

  1. The times of orbit in Earth years of all the planets including Ceres and Pluto, about the Sun, when multiplied together and the product multiplied by 3 gives the age of the Solar System - 4.6x109 years.

F. The sum of the masses of Uranus and Neptune divided by the sum of the masses of Mercury, Venus, and Earth is closely the square of the ratio of the radius of a sphere containing the volumes of Uranus and Neptune to that of a sphere containing the volumes of Mercury, Venus, and Earth.

  1. The masses of Neptune and Uranus are related by the formula:

m = (MJ +100) x 1.19n

where MJ = mass of Jupiter, n = -17 and -18.

The masses of the terrestrial planets (including Mars) are related by the formula:

m = (MJ + 100) x 1.23n

where MJ = mass of Jupiter, n = -28, -29, -39, and -42.

The masses of the seven major satellites are related by the formula:

m = (MpJ + 100) x 1.23n

where MpJ = the sum of all the planets LESS Saturn; and n = -46.5, -47, -48, -49, -50, -52, and -56.

  1. The formula S.G. = 2 x 0.981n relates the densities of the satellites and uncompressed terrestrial planets; where the values of n lie between +36 and -51.

  1. The orbit distances of the four major satellites of Jupiter from Jupiter is given approximately by the formula:

d = 2 x 0.724n

where d = distance in Jupiter radii, n = -3, -5, -6, and -8.

Did the Moon and Titan once sit at n = -4, and -7 respectively?

  1. Construct a composite sphere as a series of shells from centre core Mercury outwards in the order Venus, Earth, "silicate" satellites (including Mars), "icy" satellites. Then if ri = radius of the outer face of the sphere:

rs/ri = 0.982 (=0.7241/8), re/ri = 0.984 (= 0.7241/4), rv/ri = 0.9816 ( = 0.7241),

where rs = outer face of "silicate" shell, re = outer face of Earth shell, rv = outer face of Venus shell.

  1. When the following couples are translated to a common orbit plane, the obliquities of their rotation axes closely bear the same ratio as their radii:

Uranus-Earth, Neptune-Venus, Mars-Moon, Triton-Pluto.

BUT the obliquity to be used for Venus is (180 + 2.67)o NOT (180 - 2.67)o and for Neptune 720° + tilt

  1. The obliquity of the rotation axis of Saturn = (fpJxMpJxRJpx0brapJ)/(fSxMSxRS) closely,

where f = moment of inertia factor: 0.4 for pJ, 0.22 for S;

MpJ = mass of all planets and satellites LESS Saturn; MS = mass of Saturn;

RpJ = radius of a sphere containing all the volumes of the planets and satellites LESS Saturn;

RS = radius of Saturn;

0brapJ is equal to the obliquity of the rotation axis of Jupiter.

  1. The ratios radius of Uranus to radius of Earth and radius of Neptune to radius of Venus are both 4.1 to the first decimal place (= 1.198).

N. The dipole tilts of the planets Jupiter, Earth, Mars, Neptune, and Uranus relative to their respective spin axes approximately obey the formula:

tilt = 9.6 x 1.22n

where n = 0, 1, 2, 8, and 9 respectively.

  1. Deuterium concentration MUST decrease, and DOES decrease in the order:

Venus to Mars to Earth to Neptune to Uranus to Saturn/Jupiter.

  1. The formula Fe = 34.4 x 1.23n gives a close approximation for the iron content in Moon (n = -5), carbonaceous chondrites (= -3), Mars (= -2), Earth (= 0), Mercury (= +3). Is Venus n = +1?

  1. The slope of the terrestrial fractionation line on a d170 to d180 graph for meteorites is 0.9832

(= 0.7242);

the slope of the carbonaceous chondrite anhydrous minerals fractionation line is 0.984 (= 0.7241/4);

the slope of the ordinary chondrules fractionation line is 0.983 (= 0.7241/5).

  1. the three numbers 1.23, 1.19, and 0.724 repeatedly occur in Solar System ratios. Noting that the reciprocal of 0.724 is 1.38, then:

    1. x 1.23 x 1.38 = 2 closely (= 2.02, nearly 1.194).

The numbers 1.23 (very common) and 1.19 (less common) also occur in Universe ratios, and occasionally so does 1.37, so that:

    1. x 1.23 x 1.37 = 2 very closely (= 2.005 = 1.194).

  1. The number 1.23 = 1.191.19;

The number 1.23 to the power1.232 = 1.37 closely (= 1.368)

giving: 1.19 x 1.191.19 x (1.191.19) to the power (1.191.19)2 = 2 (= 2.002).

 

There follows five papers lettered A to E giving an outline of the Single Body Breakup Hypothesis.