A Puzzle For Mathematicians/Physists

[SimonFunnell]

I have a bit of a puzzle for mathematicians regarding a hypothetical universe. I am basically going to define a simple solar system with a sun and one planet. This planet, exactly like ours does, circles the sun and spins on its axis. Now in our puzzle the inhabitants of the single planet have discovered that a 'force', much like gravity, keeps their planet in orbit around the sun. Now its basically very simple (although it has crossed my mind it could be complex than I first imagined) and I am hoping that mathematicians/physists could express it mathematically quite easily, a.k.a. produce a rudimentary model. However, what I am really wondering is, is there something within that model that could say be a candidate for explaining what the inhabitats of our single planet intepret to be a force?

 

Have a look at this diagram (please excuse, its really rough)

 

:

 

In this diagram the sun is spinning in space, as it spins it creates a radial wave that rolls outwards. On the back of this wave, rolling towards the sun, is our single planet. Now the speed of the wave moving away and the rotation of the planet (rolling towards the sun) are such that the planet 'appears' to stay the same distance from the sun while spinning on its axis. Now add to that the source of the wave is slowly moving around the surface of the sun and we now have a solar system much like our own, but produces the result differently.

 

Is there something within that model that could be a candidate for explaining what the inhabitats of our single planet intepret to be a force?

 

Thanks.

 

Edit. On reflection this might not be the right section, I was just thinking 'theoretical' at the time of writing.

Edited February 17, 2016 by SimonFunnell

[Mordred]

Well the first problem is the force isn't similar to gravity. It's vector being radially outward opposite to the rotation of the Sun.

 

So it's not a force keeping the planet in orbit.

 

Now if the force was towards the Sun with frame dragging. Then it would match gravity. Good example the accretion disk of a BH.

 

However it's the exact opposite. So the problem is simple. Use regular gravity equations. Then switch your vector in the opposite direction...

 

Call it anti gravity.

 

Other than that it impossible for this force to keep the planet in orbit. Not without a force whose vector is in the direction of attraction. Which the drawn force is not.