Light emitting from an object moving near the speed of light.

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SUMMARY

The discussion centers on the visibility of a projectile fired from a spaceship moving at 0.9 times the speed of light. When the firing ship is 1.2 million miles away, the light emitted from the projectile can be detected by the target ship with a delay of approximately six seconds. However, considering the projectile's speed, it will take about 6.667 seconds to reach the target ship, providing a maximum warning time of 666 milliseconds if the projectile is visible upon launch. If visibility is delayed until the projectile is halfway, the warning time reduces to 333 milliseconds.

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  • Understanding of relativistic physics, particularly the effects of traveling at near-light speeds.
  • Familiarity with the concept of light travel time and its implications in space.
  • Basic knowledge of projectile motion in a vacuum.
  • Awareness of the principles of visibility and light emission in a space environment.
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  • Research the effects of relativistic speeds on light perception and time dilation.
  • Explore the physics of projectile motion in vacuum conditions.
  • Study the implications of light travel time in astronomical distances.
  • Investigate how visibility changes with distance and speed in space scenarios.
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Science fiction writers, physicists, and anyone interested in the implications of relativistic motion and light visibility in space battles.

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I am writing a storyline that has a battle scene that takes place in space. I was wondering, if one ship fires a small projectile at a speed nearing that of light, and it is emitting light, will the spaceship it is being fired at be able to see the shot for more than a few milliseconds before it hit them?

Assuming that the ship firing is about a million (1.2million) miles away, and given that light travels about 186,000 miles in a second, there should be about a six second delay, but if the projectile is traveling .9 * (constant, the speed of light), for how long will it be detectable before impact?
 
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If the ships are 6 light years apart, then it will take 6/0.9=6.667 seconds for the projectile to make the trip, giving the target ship 666 milliseconds warning, assuming they can see the launch of the projectile. If you are thinking that they can only see the light being emitted by the projectile when it gets closer to them, then they will have proportionally less time. For example, if they cannot see it until it is halfway there, then they will have only 333 milliseconds.
 

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