I've come up with a scenario which seems to be something of a paradox to me:(adsbygoogle = window.adsbygoogle || []).push({});

Imagine, if you will, two similar rotating objects orbiting each other at a fixed distance, sharing the same rotational plane.

These two objects now experience acceleration to some fixed speed along their shared axis of rotation to the point that relativistic effects become significant:

From each object, it will appear that 1) the distance to its counterpart has increased due to 2) its partner apparently lagging behind it in the distance traveled, and 3) the effect of its counterparts gravity will be diminished by a corresponding amount as the apparent distance between these objects increases. And finally 4) as time dilation becomes a significant factor, the force of observed gravity changes

Thus the result is that without any other direct energy input, the distance between these two objects will increase, against the pull of gravity, without effecting the input of energy into their plane of rotation.

Deceleration of these paired objects would result in permanent changes to their orbit with no additional energy beyond the 'equal' amounts from both the acceleration and deceleration of the system.

There are also some more unusual questions that I have as to what should or would happen with respect to a rest frame observer:

-the observer 'should' perceive the force of gravity between the paired objects to be the same at any speed.

-If their 'relativisitic mass' increases, then the force of gravity should increase, shortening the paired objects distance, and increasing their orbital frequency.

-As the paired objects approach c, time dilation slows down their orbital frequency

-As the apparent distance from one paired object to the other (as experienced by light, and gravity) increases, the paired objects orbital frequency slows.

I know that this is a more complicated scenario then most... but the question I have is: What happens? After the paired objects return to the same seed as the original rest frame, is the distance between the two objects a) the same, b) less, or c) more?

My prevailing thought is that somehow the total energy of the system must be preserved, and the distances should be the same, but with all of the relativistic effects happening, how is it possible for them to cancel out perfectly?

Cheers,

OverLOAD

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Interesting General Relativity Scenario

Loading...

Similar Threads for Interesting General Relativity | Date |
---|---|

I Radiation of matter "free falling" into the black hole | Apr 17, 2018 |

I Interesting Derivation of Maxwell's Equations | Mar 11, 2018 |

Interesting Effect of Conformal Compactification on Geodesic | Dec 29, 2015 |

Interesting applications of relativistic angular momentum? | Dec 20, 2015 |

Do we move in the Universe? Or is everything stationary | Aug 20, 2015 |

**Physics Forums - The Fusion of Science and Community**