 The paper presents an analytical solution for the equation of motion of relativistic electrons in the focus of a high-intensity laser pulse, approximating their transverse dynamics in the averaged field of a long laser pulse with a Gaussian transverse profile. The resultant ponder emotive scattering features an upper boundary of the electron's scattering angles depending on the laser parameters, an initial state of motion. Two regimes are distinguished based on whether the laser's focusing, or peak power, are the main drivers of ponder emotive scattering. The intensity of a laser pulse can be determined from a ring-shaped pattern in the spatial distribution of a high-energy electron beam scattered from the laser, which is confirmed through detailed relativistic test particle simulations. This article was authored by Felix Makinroth, Amal Ahalkandkar and Hans-Peterschen Voigt.