Limit wheel profile for hunting instability of railway vehicles

Given a railway vehicle and a track, is it possible to define a wheel limit profile that allows the vehicle to run at a given speed without the occurrence of unsafe hunting motion? Nowadays some railway operators and maintenance staff identify the maximum admissible wear on the profiles comparing the rail equivalent conicity with a limit curve obtained on the basis of experimental evidence. The present paper analyses the relationship between equivalent conicity and the dynamic behaviour of the vehicle in tangent track. This can be used to implement condition - based rail reprofiling strategies.