Furthermore, even if we did somehow have the value of ω exactly right, this expression would not be a full solution to the equation: the motion is certainly periodic with period \(2 \pi / \om...Furthermore, even if we did somehow have the value of ω exactly right, this expression would not be a full solution to the equation: the motion is certainly periodic with period 2π/ω, but the complete description of the motion is a Fourier series including frequencies nω,n an integer, since the potential is no longer simple harmonic.
