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
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.
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).
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.
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.
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.
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?
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.
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
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.
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.
Venus to Mars to Earth to Neptune to Uranus to Saturn/Jupiter.
(= 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).
The numbers 1.23 (very common) and 1.19 (less common) also occur in Universe ratios, and occasionally so does 1.37, so that:
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.