Complex motion equation (projectile with changing mass and thrust)

In summary, calculating the trajectory of a projectile with changing mass involves using Newton's second law of motion and integrating the equations of motion. Factors such as initial velocity, ejected propellant mass and velocity, launch angle, and gravity all affect the motion of the projectile. Thrust, which is affected by the ejected propellant, can significantly alter the projectile's acceleration and velocity. Differential equations are used to model the complex motion of the projectile, but accuracy can be affected by external factors and small errors in measurement or calculation.
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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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Related to Complex motion equation (projectile with changing mass and thrust)

1. What is a complex motion equation?

A complex motion equation is a mathematical formula that describes the motion of an object that is affected by multiple forces or factors. In the case of a projectile with changing mass and thrust, the equation takes into account the changing mass of the object due to fuel consumption and the varying thrust force from the engine.

2. How is a complex motion equation different from a simple motion equation?

A simple motion equation only takes into account one force acting on an object, such as gravity. A complex motion equation, on the other hand, considers multiple forces and factors that affect the motion of the object, making it a more accurate representation of real-world scenarios.

3. What is the importance of considering changing mass and thrust in a projectile's motion equation?

Changing mass and thrust are important factors to consider in a projectile's motion equation because they directly affect the acceleration and velocity of the object. As the mass decreases due to fuel consumption, the acceleration increases, and the thrust force also affects the acceleration and velocity of the object.

4. How is a complex motion equation derived?

A complex motion equation is derived using principles of physics, such as Newton's laws of motion and the equations for force and acceleration. It also takes into account specific variables and factors that are relevant to the motion of the object, such as mass, velocity, and time.

5. Can a complex motion equation be used for any type of projectile?

Yes, a complex motion equation can be used for any type of projectile, as long as the relevant forces and factors are taken into account. This includes projectiles with changing mass and thrust, as well as other factors such as air resistance and wind direction.

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