This paper introduces a practical analytical approximation of projectile trajectories in 2D and 3D roughly based on a linear drag\nmodel and explores a variety of different planning algorithms for these trajectories. Although the trajectories are only approximate,\nthey still capturemany of the characteristics of a real projectile in free fall under the influence of an invariant wind, gravitational pull,\nand terminal velocity, while the required math for these trajectories and planners is still simple enough to efficiently run on almost\nall modern hardware devices. Together, these properties make the proposed approach particularly useful for real-time applications\nwhere accuracy and performance need to be carefully balanced, such as in computer games.
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