I saw a piece of code on github which transforms the planetary movement into the fourier wave function.
These circles are given by the x and y ordinates: x=cos(ωt) y=sin(ωt), which are periodic. Usually, we can apply it to get the frequency components - spectrum of the signal as @Brendan Darrer suggest. Which is a very useful concept, when talking about electromagnetic signal for example. However, when we step further and have a closer look about the intersection the plot below gives us, what can we interpret from these intersection points.
To help us see this question more clearly, we can imagine it as a star system just like our solar system. As we can see visually in the plot below, there are four wave functions in the plot. Though they have the different frequency (rotation period), they will intersect at specific time. At the intersection of two wave functions,say, 4sin(3θ)/3pi and 4sin(5θ)/5pi, it suggests that these two planets will have the same phase at their orbit and have the same projected displacement (same y value) mathematically. My question is, what would happen when two wave functions intersect in a Fourier series representation of periodic signals?
Any thoughts would be greatly appreciated.