We will explore a method for measuring chromaticity by continuously kicking the beam transversely. This is called the continuous head-tail method for measuring chromaticity. The complete analytic approximation in terms of trigonometric functions is derived for zero transverse
emittance beam. A few examples are used to compare this solution with numerical ones and they are found to be nearly identical. A simple formula for calculating chromaticity from experimental data is also shown. Finally the theory is compared with experimental data.