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S62 is, according to Wikipedia, the so far closest detected star orbiting the supermassive black hole at the center of our galaxy, Sagittarius A*: At closest approach its velocity is about 0.10c (10% of the speed of light), so ~30km/s Arxiv paper: S62 on a 9.9 yr Orbit around SgrA*

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I think there was an ahem ACTUAL EXPERIMENT DONE ahem where two electrons were fired in the exact opposite direction and the negative charge changed to positive with same said change happening at the same time to the other electron. This experiment if valid and true would mean something is travelling faster than the speed of light.

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The key word here is "eventually." The strength of the gravitation felt between two objects is inversely proportional to the square of the distance between the two bodies. As a result of this, raising an object from a nonzero distance from object A to an infinite distance from object A requires a finite amount of energy. In a Keplerian/Newtonian ...

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If you don't like math: A fraction of a second. For math lovers: One proton is $8.414 \cdot 10^{-16}$ meters wide, and one Planck time is $5.391247 \cdot 10^{-44}$ seconds. This means that we are traveling at $\dfrac{8.414 \cdot 10^{28}}{5.391247} = 1.5606779 \cdot 10^{28}$ meters per second. Dividing by $299792458$ m/s, or $c$, we get \$5.205861 \cdot 10^{19}...

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