A What is the maximal comoving distance that a space probe can reach?

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The maximal comoving distance a space probe can reach depends on its speed relative to light. At light speed, the probe can reach approximately 5 Gpc, known as the cosmic event horizon. For speeds less than light, the distance is calculated as a fraction of the event horizon distance, specifically ##\frac {v}{c} D_{eh}##. This formula indicates that the distance increases proportionally with the probe's speed. Understanding these distances is crucial for exploring the limits of space travel.
Omega Force
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What is the maximal comoving distance that a probe can reach depending on its speed?

If the probe travels at light speed, the maximal comoving distance that it can reach is 5 Mpc, which is called the cosmic event horizon. But what if it travels at some other speed?
 
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Omega Force said:
If the probe travels at light speed, the maximal comoving distance that it can reach is 5 Mpc, which is called the cosmic event horizon. But what if it travels at some other speed?
If we designate the distance to the event horizon as ##D_{eh}## (which, by the way, is not 5 Mpc, but about 5 Gpc), then the maximal comoving distance that can be reached at speed ##v## is ##\frac {v}{c} D_{eh}##
 
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