Firing Solution - Projectile Motion

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SUMMARY

The discussion focuses on calculating the lead angle for a turret in a 3D modeling and animation scenario, specifically in a sci-fi space battle context where gravity and resistance are absent. The user seeks to determine the optimal firing solution by applying projectile motion equations that account for the velocities of both the turret and the target. The goal is to position a null point accurately so that the turret can effectively hit a moving target. Essential variables include the turret's firing speed, the target's velocity, and their respective directions.

PREREQUISITES
  • Basic understanding of 3D modeling and animation principles
  • Familiarity with projectile motion equations
  • Knowledge of vector mathematics for calculating angles and trajectories
  • Experience with programming or scripting in a 3D environment
NEXT STEPS
  • Research the equations of motion for projectiles in a vacuum
  • Learn about vector mathematics and how to calculate angles between moving objects
  • Explore programming techniques for real-time calculations in 3D environments
  • Investigate existing libraries or tools for simulating projectile motion in animations
USEFUL FOR

3D modelers, animators, game developers, and anyone involved in creating realistic motion simulations in a zero-gravity environment.

jtdoepke
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This is problem that has been bugging me for the last few days and I fear I don't know the math to figure it out. (As is no education above geometry and a very basic introduction to trigonometry.)

I do 3D modeling and animation.

Assume this takes place in, say, a sci-fi space battle where there is no gravity or any resistance.

Within this scene are three things: a turret on a ship, a target, and a null (basically a single point that can be moved around and do other things).

The turret automatic points itself at the null.

I would like to apply an equation to this null that will move it to the point where it thinks the turret would need to fire in order to hit the target.

This would need to take into account the velocity of the target, the velocity the turret, and the speed at which the projectile travels.

Again, assume no competency in physics what so ever.
 
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I think you are asking how to figure out how much the turret should lead the target, assuming they are traveling in different directions. Is that right?
 
Yes. Perhaps a picture might help.

http://www.doepkeonline.com/NullTarget.jpg
 
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