On modelling bicycle power for velodromes: Part I: Formulation for individual pursuits

For a moving bicycle, the power meters respond to the propulsion of the centre of mass of the bicycle-cyclist system. Hence, an accurate modelling of power measurements|on a velodrome|requires a distinction between the trajectory of the wheels and the trajectory of the centre of mass. We formulate and examine an individual-pursuit model that takes into account the aforementioned distinction. In doing so, we provide the details of the invoked physical principles and mathematical derivations.