Air resistance in projectile motion

ordinary differential equationsprojectile motion

Good morning mathematicians,

I would like to ask you for good resources for modelling projectile motion under air resistance. I have not been able to find any good sources.

Thank you in advance.

Best Answer

Perhaps the simplest model for modelling projectile motion that includes air resistance is what is known as the linearly resisted model or the linear drag model. Here the resistance to the motion of the projectile as it moves through air is considered to be proportional to its velocity.

For some accessible accounts of this model, see, for example:

  1. Projectile Motion with Resistance and the Lambert W Function

  2. Analysis of asymptotic projectile motion with air resistance using the Lambert W function

  3. An analytic approach to projectile motion in a linear resisting medium

  4. Linear resisted projectile motion and the Lambert W function

  5. Exact expressions for the range and the optimal angle of a projectile with linear drag

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