How would a beamed core antimatter drive appear from Earth?

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A beamed core antimatter drive generates thrust through matter-antimatter annihilation, ejecting charged pions via a magnetic nozzle. If a spacecraft utilizing this propulsion were decelerating towards Earth from just beyond the Moon's orbit, its visibility would depend on its size, speed, and trajectory. At 10% the speed of light, a small spacecraft could potentially be observed from Earth-based telescopes. The key inquiry revolves around the visibility of byproducts from the annihilation process, particularly the pion beam. Ultimately, the visibility would hinge on the specific characteristics of the annihilation products and the observational conditions.
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As I understand it, a beamed core antimatter drive would produce thrust by annihilating matter and antimatter and ejecting the results of the annihliation via a magnetic nozzle. The usable results would be charged pions, which would decay into muons, correct?

So my question is, if a spacecraft were approaching the solar system and using this type of propulsion system to decelerate (so that the nozzle is roughly aimed at Earth), would it be visible from an Earth-based telescope, and if so, how would it appear?

Thanks!
 
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It would depend on how big it was, where it was and how fast it was going.
 
Okay, let's just say it's small (say, the size of a small car), moving at a max of say 10% c, on a path intersecting the Earth, and decelerating, so the drive is aimed directly at the observer on the Earth. As for where it is, how about just beyond the orbit of the moon.

I guess my real question is whether anything produced by a matter-antimatter annihilation is visible, such as the pion beam itself, or any other byproducts.

Thanks.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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