Complex motion equation (projectile with changing mass and thrust)

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SUMMARY

The discussion centers on deriving an equation to predict the flight path of a projectile with changing mass and thrust. The primary recommendation is to utilize numerical integration of Newton's laws of motion, particularly when dealing with variable thrust and mass profiles. For specific cases, an analytical solution may be achievable, with the Tsiolkovsky rocket equation serving as a foundational reference for understanding the dynamics involved.

PREREQUISITES
  • Newton's laws of motion
  • Numerical integration techniques
  • Tsiolkovsky rocket equation
  • Understanding of variable mass systems
NEXT STEPS
  • Research numerical integration methods for dynamic systems
  • Study the Tsiolkovsky rocket equation in detail
  • Explore analytical solutions for specific thrust and mass profiles
  • Investigate software tools for simulating projectile motion
USEFUL FOR

Aerospace engineers, physicists, and anyone involved in modeling projectile dynamics with variable mass and thrust conditions.

kaycha
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I need an equation to predict the flight path of a changing mass projectile under changing thrust. Any thoughts?
 
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kaycha said:
I need an equation to predict the flight path of a changing mass projectile under changing thrust. Any thoughts?
General as stated, you have to do numerical integration of Newtons laws of motion. For specific thrust & mass profiles there might an analytical solution.
 
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