Astrodynamics delivers conundra of astronomical proportions. The sheer size of Universe, its mass and velocities of bodies stretch imagination to limit.
It is little-known that Einstein did NOT receive Nobel Prize for relativity. He had ALREADY received 1921 prize in 1922 for PHOTOELECTRICS. Yet even a distinguished scholar like Einstein can be snubbed when theories become too extravagant.
Subsequently, his relativity theory - within its narrow, specialised constraints - was proven to be true.
At my website I show principles behind REAL anti-gravity. You can read it from http://wehner.org/agrav .
The concept is simple. However, science CAN ONLY advance by small steps. Elaborate conjectures based upon such ideas as "Gravitron" particle - without SOLID proof that they actually exist - are doomed to fail.
The simple idea is that Moon is held to Earth by gravity, and experiences due to its orbit a repulsive force known as "centrifugal force". These two forces balance, to produce a stable system that has survived since pre-historic times. So much is KNOWN.
Then we imagine "Man in Moon". He has lived on "illuminated" side of Moon since pre-historic times, and knows that Moon is held to Earth by gravity. But counterbalancing force cannot be explained as "centrifugal force". The "Man in Moon" sees only ROTATION of Earth - one degree every FOUR MINUTES - and has to use this fact to explain stability of system.
So "Man in Moon" would use IDENTICAL mathematics to those on Earth who compute ORBIT. However, sums would be UPSIDE DOWN. He would compute how much thrust (ANTI-GRAVITY) is delivered by SPIN of a body.
I have done this on my website, and show that upside-down equations reveal a thrust that increases LINEARLY with distance for any constant spin.
This is surprising, because thrust increases INVERSELY with distance for any constant orbital velocity.
So, if in our dreams we could create an anti-gravity machine (NO!!! I DO NOT HAVE ANY DESIGN-PLANS!), it would not lift off CARPET, but off some distant place, such as centre of Earth. The further away object, greater thrust - and carpet is too near.
In our imagining, we can visualise some machine lifting away from carpet, and pile of that carpet IMMEDIATELY standing erect - because anti-gravity "footprint" would be far away.
The mathematics shows us what WOULD happen, but not how to build a machine. The "Action at a Great Distance" conclusion from anti-gravity equations suggests that building such a machine would not be easy.
Einstein had been working as an assistant to an eminent Swiss astronomer when he found that Newtonian mechanics broke down when applied to astrodynamics. This was origin of new mechanics that was to become known as "Relativity".
My own conjectures on ANTI-GRAVITY come up against similar problems, and deliver a similar solution.
The Moon travels around Earth at about 65,000 miles per hour. This is equivalent, as stated, to a spin of just 15 arc-seconds per minute.
Astrodynamicists have FREQUENTLY ignored tiny rotational motion of bodies in solar system, because they SEEMED to be NEGLIGIBLE. The new discovery shows, however, that such small rotations are NOT TO BE DISCOUNTED, because when mathematics is turned around they represent sizeable orbital velocities.
This leads to question as to whether ALL equations can be turned around. Can EVERY spin be translated into an orbit?
The size of Universe suggests otherwise. If antigravity increases linearly with distance, it must be INFINITE, or nearly so, at outer fringes of Universe.