Need an equation for artillery

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SUMMARY

The discussion centers on deriving a projectile equation that incorporates air resistance for artillery calculations. The user seeks a single equation to determine the required elevation based on initial velocity, range, and change in elevation. They reference the Wikipedia page on projectile trajectory and express interest in modifying existing equations to account for the complexities of air resistance. The consensus suggests that numerical simulations are a viable method for accurately predicting projectile paths under these conditions.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with air resistance effects on trajectories
  • Knowledge of numerical simulation techniques
  • Basic proficiency in mathematical modeling
NEXT STEPS
  • Research numerical simulation methods for projectile motion
  • Explore differential equations for modeling air resistance
  • Study the Runge-Kutta method for solving ordinary differential equations
  • Investigate software tools like MATLAB or Python for trajectory simulations
USEFUL FOR

Engineers, physicists, and artillery specialists seeking to enhance the accuracy of projectile trajectory calculations by incorporating air resistance into their models.

doom_sharpe
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Mathematics news on Phys.org
Not in a general way. Air resistance can be complicated, and it makes the nice two (both coordinates) linear, independent equations for a free fall non-linear and coupled.
A numerical simulation of the path is a common way to predict a trajectory.
 
So how could I do it?
 
Numerical simulations? There are tons of books and internet pages explaining various methods.
 

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