How do I calculate the position on a circle based on a progress value?

Adam · 2020-02-11T16:31:54

Currently I'm working on a orbit system for a game. I've got it so an object will move along a circle based on a progress value that'll be between 0.0 and 1.0 (0.5 being half way around the circle). I calculate this like this: float angle = Mathf.Deg2Rad * 360 * t; float xPos = Mathf.Sin(angle) * xAxis; float yPos = Mathf.Cos(angle) * yAxis; return new Vector3(xPos, yPos, 0.0f); With t simply being deltatime and the xAxis/yAxis variables being the radius of the circle. What I'm a little stuck on currently though is how I could possibly get the progress around the circle based on a poisition. So if I have an object that hits the bottom of the circle, how do I calculate that to be a progress of 0.5?

Math and Physics Programming math trigonometry Algorithm

Started by Codelyy January 14, 2020 10:49 PM

10 comments, last by alvaro 4 years, 7 months ago

alvaro

21,604

February 11, 2020 04:31 PM

By the way, whenever you have two real numbers that are the cosine and the sine of a number, you can think of them as a single complex number, z = cos(a)+i*sin(a) == exp(i*a) == polar(1,a). You can then recover the angle by computing a = atan2(imag(z),real(z)) == real(-i*log(z)) == arg(z).

How do I calculate the position on a circle based on a progress value?

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How do I calculate the position on a circle based on a progress value?

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