The maximum range of a missile_the earth is not flat

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SUMMARY

The discussion centers on calculating the maximum range of a missile when accounting for the Earth's curvature, contrasting it with the flat Earth assumption where a 45-degree launch angle yields the maximum range. It highlights that considering the Earth's curvature necessitates adjustments for a non-uniform gravitational field and the Coriolis effect, which influences the missile's trajectory based on its launch direction. The complexities introduced by these factors significantly alter the calculations compared to a flat Earth model.

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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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