Jupiter the Giant FlyWheel
The first hypothesis to support the binary system theory is that Angular momentum is not conserved because there is a change in torque within the system allowing the star system to travel along the elliptical orbit at a constant angular velocity.
We can thus infer that Jupiter is revolving around the sun as a giant flywheel that is storing and releasing the difference in energy to keep the velocity of the system constant.
M x V1System x R1 = M x V2System x R2 + √ [2 x [∆ [VJupiter x T x t]]
Let’s take the scenario where the system is approaching the binary star. This means that as the radius is reducing [R2 < R1], for angular momentum to be conserved, V2 > V1 or in other words, the system should be speeding up. However, for V1 to be Equal to V2, we must balance the difference in momentum with the increase in total torque of the system. We can now look at the kinetic energy’s contribution to angular momentum. Our expectation is that as the system moves closer to the binary star, the Kinetic energy increases.
This means, to prove the hypothesis, we need to observe Jupiter accelerate its rate of revolution around the sun as the system is in the ascending arc of approaching the binary star. To locate our position in the arc, the hypothesis is that we are in the year 323 of the 2/20 of the ascending arc which puts the timeline as:
Thus, based on the equation, we should observe Jupiter Accelerate from 500 AD onwards and potentially change its rate of Acceleration in the different arc segments in proportion to the distance travelled.
It is difficult to directly observe change in Jupiter’s angular velocity directly over centuries due to various factors, however it is easier to measure it in relation to other bodies in the system. Given that we have observed Uranus as a harmonic of 7 cycles of Jupiter’s orbit around the sun, we can leverage the relative locations of Jupiter and Uranus at the 84-year intervals [12 years per cycle] when Jupiter and Uranus are expected to arrive at the same point in the sky.
Based on the Ephermis data read in the sidereal location of the two planets, we can see the data going back to 1442 in 84-year increments. The benefit of reading the data in relative speed or distance is that it removes the complications of choice of tropical or the various sidereal adjustments as we are only concerned with the absolute difference in location.
The rate of change plotted over time allows us to observe the change in acceleration of Jupiter.
We can observe here that rate of change of Uranus’s distance to Jupiter at its Aries Entry is reducing [retrograde going from 21˚ in Taurus to 24˚ in Aries] over the last ~700 years demonstrating the increasing angular velocity of Jupiter. Thus, proving the hypothesis! The flywheel is speeding up to ensure that the velocity of the star system is constant, and that the angular momentum is conserved.
However, we can also observe that the rate of change of angular velocity, or acceleration, is reducing as the system is moving further into the orbit closer to the binary star. There are a few key observations:
The models need to be nonlinear; a piecewise linear model with varying benchmarks across arc segments would be more appropriate.
Increasing the angular velocity of Jupiter also implies that its mean distance from the Sun is reducing to conserve momentum.
The chart also implies that by the time the system had reached the apogee of the orbit, the time taken by Jupiter to complete 7 cycles was slower than that Uranus took for one.