Flight management system of an aircraft

An aircraft comprising a flight management system, the flight management system comprising:

• a first non-critical or open world module (MO) configured and/or operable to create an enhanced enriched flight plan, the first non-critical or open world module (MO) comprising at least one non-critical computer and/or at least one non-critical piece of software,
• the first non-critical or open world module (MO) configured and/or operable to calculate and deliver an enhanced enriched flight plan based on a reference flight plan comprising a first set of constraints, on a value of at least one parameter of a second set of parameters representative of an environment of a flight of the aircraft, and on at least one optimisation criterion of a third set of optimisation criteria,
• the first non-critical or open world module (MO) being further configured and/or operable to output the enhanced enriched flight plan comprising the first set of constraints and at least one pseudo-constraint of a fourth set of pseudo-constraints,
• the first non-critical or open world module (MO) further configured and/or operable to deliver the enhanced enriched flight plan to a second critical flight management avionics module (FMS), for which the enriched flight plan is specifically optimised,
• the first non-critical or open world module (MO) being configured to emulate the second critical flight management avionics module (FMS) to create the enhanced enriched flight plan iteratively with a configuration implementing the following steps:
• initialisation of pseudo-constraints of the fourth set;
• and
• iterative enhancement of a choice of the pseudo-constraints of the fourth set, until an objective of enhancement of a path calculated by the second critical flight management avionics module (FMS), or absence of enhancement with respect to a last best choice of pseudo-constraints obtained during one or more preceding iterations of the iterative enhancement, is reached, based on at least one optimization criterion of the third set and on at least one parameter of the second set,
• the first non-critical or open world module (MO) being configured to implement the step of iterative enhancement of the choice of the pseudo-constraint or constraints of the fourth set by iteration with a configuration implementing the following steps:
• calculation and storage of the path that the second critical flight management avionics module (FMS) calculates based on a flight plan comprising the constraints of the reference flight plan and current pseudo-constraints, by emulation of the second critical flight management avionics module (FMS);
• assessment as to whether the calculated current path is enhanced with respect to the paths calculated in the one or more preceding iterations of the iterative enhancement, as a function of the optimisation criterion or criteria of the third set, of the value of at least one environment parameter of the second set of parameters, and of the enhancement objective;
• and
• if the objective is reached, exit from the iterative enhancement of the enriched flight plan with the current pseudo-constraints, and otherwise modification of the current pseudo-constraints for a next iteration;
• the second critical flight management avionics module (FMS) being certified to calculate a path, the second critical flight management avionics module (FMS) comprising at least one critical computer and/or at least one critical piece of software for calculating and delivering as output a secured path, based on the enhanced enriched flight plan provided by the first non-critical or open world module (MO), and aircraft guidance being based on the secured path.