Itinerant oscillation with a cosine potential

The equations of motion of the planar itinerant librator are extended to involve a cosine potential rather than a harmonic form for interaction, and are solved numerically to produce the angular velocity autocorrelation function and its Fourier transform (real and imaginary parts). The behaviour of the cosine potential is matched with that of the harmonic potential through these functions and in general conforms more closely to the indication of zero-THz spectroscopy and computer simulation.