(OGS15) computes precise gravitational effects
that the various planetary bodies have on one another within
the solar system. It is an entirely evolutionary n-body-gravity
algorithm, which operates according to Newtonian-Planck
gravity in 3D space. We improve on Kepler's
singular body ellipse,
by using the formula from Newton of g=Gm/r^2,
in conjunction with quantum-time from Planck. Of course with
the interacting gravity fields of 3 or more
bodies in 3D space, the resultant shape of
the orbits now deviate away from being purely elliptical.
For Kepler and Newton time was infinitely divisible, but for
Planck, time itself could not be divided into units smaller
than 5.4 x 10^-44 seconds:
Distinct jumps in quanta of time. And it is paradoxically
within these indivisible moments of time
that we can compute the interacting gravity fields of multiple
bodies (the n-body problem, or many-body problem). Quantum-time
is thus the essential key to quantum-gravity.
The primary finding of this algorithm OGS15
(orbit-gravity-sim-15.exe) is that the phenomenon of Perihelion
Precession is an emergent property of Newtonian-Planck
gravity. So the orbital extremities of each planet
rotate around the Sun in the same direction that the orbits
themselves rotate, purely due to the gravity of the other
planets. Beyond Perihelion Precession there is some
other factor influencing the movements of the planets beyond
Newtonian gravity that results in the quite different phenomenon
of Precession of the Equinox.
(More on that much later).
algorithm is free here:
Help files on how it works: Orrery
The most essential parts of the source code
How to Build N-body-gravity Algorithm
Now the amount of Perihelion Precession that has
historically been claimed to be observed, is said to be greater
than that which has historically been calculated using Newton's
formula for the classical example of Mercury's orbit. But
the manner in which Newton's laws are calculated for 3
or more bodies is not nearly as certain as it is for Kepler's
simple ellipse. Mostly this is because all other such Newtonian
n-body models fail to directly account for how the Z-axis
dilutes the gravitational effects of the other planets.
Inclusion of the Z-axis in the algorithm
specifically alters the Perihelion Precession of Mercury's
orbit, by as much as 13%. Thus, historical
and contemporary theory has wrongly calculated the Newtonian
effect on Perihelion Precession with an error greater than
the amount that they attribute to Einstein's Relativity.
In addition to this, the selection of a particular starting
orbit for Mercury can vary the Perihelion Precession by amounts
more than that attributed to Einstein's Relativity. The Relativists
claim that their theory accounts for +43
arc-seconds per century of Perihelion Precession for Mercury,
but individual orbits of Mercury have variant deviations to
the perihelion, ranging from a recession of less than -40
arc-seconds per century to a precession over +80
arc-seconds per century between pairs of orbits. Changing
the starting orbit or sample size can thus easily more than
account for the amounts attributed to Relativity.
So their are at least two quite different basic flaws
in traditional methodology which result in error-margins in
total that are 3x larger than the amount
traditionally attributed to Einstein's calculations.
The size of the sample can easily alter the Perihelion Precession
to amounts beyond those attributed by Einstein's theories.
The unit of measurement for Perihelion Precession is measured
as an angle in arc-seconds over an entire century; which is
the typical sample size used by less detailed analysis than
this one. I frequently calculate samples of many thousands
of years with a high level of detail, as will be demonstrated.
Moreover, the observations and the various accounts of n-body-gravity
theory all differ, depending where you read. The actual claim
of what Newton's theory should apparently predict
and the observations both often differ by a logarithmic
factor too. So the essential questions become:
1) Can the rotation of the orbital extremities of the planets
around the Sun (Perihelion Precession)
be entirely explained by Newton's paradigm, and if
not, what can account for the difference?
2) Is their any consistent causal factor beyond Newtonian
gravity in the celestial dynamics of planetary bodies in the
The short-answer to the second question
here is: 'Yes!'
But we need to look at the given hard data to lay the
foundation for the answer to the first question,