The maximum range of a missile_the earth is not flat

In summary, the maximum range for a missile launched at an angle of 45 degrees on a flat Earth will be affected by the curvature of the Earth and the rotation of the Earth, specifically the Coriolis effect. This means that the range will vary depending on the direction the missile is fired. The purpose for this calculation is unclear.
  • #1
myleo727
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0
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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  • #2
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?
 

1. How is the maximum range of a missile affected by the shape of the Earth?

The Earth's shape does not significantly impact the maximum range of a missile. While the curvature of the Earth does slightly affect the trajectory and accuracy of a missile, modern missile technology and advanced targeting systems compensate for this and can accurately reach their maximum range.

2. What factors determine the maximum range of a missile?

The maximum range of a missile is primarily determined by its fuel capacity, propulsion system, and aerodynamics. Other factors such as wind, altitude, and weight of the payload can also impact the maximum range.

3. Can a missile be launched from one side of the Earth and reach the other side?

No, a missile cannot travel in a straight line from one side of the Earth to the other due to the Earth's curvature. It would need to travel along a curved trajectory and would eventually fall back to Earth due to gravity.

4. Does the rotation of the Earth affect the maximum range of a missile?

The rotation of the Earth does not significantly impact the maximum range of a missile. While it may affect the flight path and time of impact, modern missiles are designed to account for the Earth's rotation and can accurately hit their intended target.

5. How does air resistance affect the maximum range of a missile?

Air resistance can decrease the maximum range of a missile by slowing it down and causing it to lose velocity. This is why missiles are designed with aerodynamic shapes and advanced propulsion systems to minimize air resistance and maintain their maximum range.

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