First of all, the 45 degrees value is valid if there is no air resistance. If we take this into account we should use higher angles and this is what is done in artillery.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?
Thank you!
Then you should consider the change of gravity with altitude (distance to the center of the Earth). The resulting equation of movement is an elliptic trajectory. If you shoot your missile horizontally and with enough velocity, you will have an elliptical orbit whose perigee is at the launch site (supposing no obstacles in the way), so you have a 40000 km range.myleo727 said:
The maximum range of a missile can vary greatly depending on the type of missile and its intended purpose. Some missiles, such as intercontinental ballistic missiles, can travel thousands of kilometers, while others, such as anti-tank missiles, have a range of only a few kilometers.
Yes, the curvature of the Earth does have an impact on the maximum range of a missile. As a missile travels, it follows the curvature of the Earth and experiences the effects of gravity. This means that the further the missile travels, the more the Earth's curvature and gravity will affect its trajectory.
The Earth's shape does not have a significant impact on the maximum range of a missile. While the Earth is not a perfect sphere, it is still relatively round, and the differences in shape do not significantly affect the trajectory of a missile.
Yes, there are several other factors that can affect the maximum range of a missile. These include the missile's propulsion system, the weight and aerodynamics of the missile, and external factors such as wind and temperature.
Over the years, there have been numerous advancements in missile technology to increase their maximum range. These include improvements in propulsion systems, better aerodynamics, and the use of advanced guidance systems. Additionally, the development of intercontinental ballistic missiles has greatly increased the maximum range of missiles.