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Home/ Questions/Q 8668609
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Editorial Team
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Editorial Team
Asked: June 12, 20262026-06-12T18:15:21+00:00 2026-06-12T18:15:21+00:00

The equation of an elliptical path can be defined as: Where h = a

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The equation of an elliptical path can be defined as:

x^2 / (240/2)^2 + y^2 / (h/2)^2 = 1

Where h = a randomly generated height between 10 and 60.

And t = time in seconds elapsed.

How can I start at a specific point when t = 0, and follow along the path as t increases, looping indefinitely?

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  1. Editorial Team
    Editorial Team
    2026-06-12T18:15:22+00:00Added an answer on June 12, 2026 at 6:15 pm

    It’s actually easier than that. Position on an elliptical path over time is:

    x = Math.cos(t)*w/2
    y = Math.sin(t)*h/2
    

    With w and h the width and height, respectively. Scale t as needed to get the speed you want.

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