The discussion revolves around the maximum range of a missile when accounting for the curvature of the Earth, contrasting this with the flat Earth model. Participants explore the implications of projectile motion, orbital mechanics, and the effects of air resistance on missile trajectories.
Participants express differing views on the effects of air resistance and the appropriate launch angles for maximizing range. There is no consensus on the exact nature of the trajectory or the implications of Earth's curvature on missile range.
Limitations include assumptions about air resistance, the simplification of trajectories for short-range versus long-range projectiles, and the dependence on gravitational changes with altitude.
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:
