SAFETY SYSTEM, A HELICOPTER FITTED WITH SUCH A SYSTEM, AND A SAFETY METHOD SEEKING TO AVOID AN UNDESIRABLE EVENT

A safety system seeking to avoid an undesirable event while piloting a helicopter. According to the invention, the system is remarkable in that it comprises a computer making it possible at any instant t to generate a three-dimensional envelope of fallback paths for the helicopter, the envelope being obtained by calculating, at the instant t, a set of positions that can be reached by the helicopter during a predetermined flight duration, the computer having parameters previously set with data relating to the flight capabilities of the helicopter and including at least one of the following capabilities: maximum speeds and accelerations in all three spatial directions, minimum turning radii for yaw, nose-down, and/or nose-up movements, maximum weight of the transported load, and maximum stresses.