The maximum range of a missile_the earth is not flat

AI Thread Summary
The discussion addresses the maximum range of a missile when considering the Earth's curvature, contrasting it with the flat Earth model where a 45-degree launch angle yields the maximum range. It highlights that accounting for the Earth's curvature complicates calculations, as it also affects gravitational uniformity and introduces the Coriolis effect, which influences trajectory based on launch direction. Participants question the purpose of such calculations, suggesting practical applications may be necessary for context. The complexities of missile trajectory in a curved Earth scenario are emphasized, indicating that simple models may not suffice. Understanding these factors is crucial for accurate missile range predictions.
myleo727
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We know if the Earth is considered flat the maximum range is obtained when the missile is launched at an angle of 45 degrees. But what if we take into account the curvature of the earth? what is the maximum arc-length of the range?:confused:
Thank you!
 
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myleo727 said:
We know if the Earth is considered flat the maximum range is obtained when the missile is launched at an angle of 45 degrees. But what if we take into account the curvature of the earth? what is the maximum arc-length of the range?

Unfortunately, compromising the flat surface pretty much forces you to compromise the uniform gravitational field. Also, you'll have to consider the rotation of the Earth -- the Coriolis effect will make it so that your result depends on the direction in which you fire the missile. What do you need this calculation for?
 

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