Does it make sense to call a person anywhere on Earth, on Mars, on Jupiter anywhere at rest in their own inertial reference frame? I doubt that.
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To get an idea what is involved in a practical example. Consider two objects with an equal mass m0. Those two objects
rotate around each other in 1 second. There is also a third object involved which rotates at a distance of 1 light second around the center of gravity of the two objects.
Figure 1 at the left shows two objects which are indicated with the letter X. The two objects are considered to be Black Holes.
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test | T | m0 | m1 | dist | r0 | r1 | v0 | v1 | angle | T |
1 | 1 | 1 | 1 | 1887 | 944 | 944 | 5929 | 5929 | 0,36 | |
2 | 1 | 40 | 40 | 6445 | 3227 | 3227 | 20278 | 20278 | 1,23 | |
3 | 0.02 | 40 | 40 | 476 | 238 | 238 | 74706 | 74706 | 0,09 | |
4 | 2001 | 2 | 0.001 | 299792 | 150 | 299642 | 0.5 | 941 | 57 | |
5 | 1928 | 40 | 40 | 1000000 | 500000 | 500000 | 1629 | 1629 | 191 |
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To get an idea what is involved in a practical example. Consider two objects with an equal mass m0, which rotate around each other.
Figure 2 shows the position of the two objects for each at 5 different instances.
For low speeds relatif to the speed of light this is no problem, but for larger speeds this can be a problem. What this means is that when object 1 is at "E" the gravitational radiation emitted by object 1 did not have enough time to reach position "e". In fact object 2 at "e" is affected by the retarded position of object 1. This can be position "D". When the distance between the two objects is d, than the travel time t = d/c. When the speed of the object is v. This defines a distance v*d/c and an angle v/c , which is normally much less than 1. |
The results of the simulations I have performed on rotating objects with Newton's Law and when this retardation is included that the objects move away from each other. The distance expands and there is no contraction or merging.
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