Small Asircraft Trajectory Math problem

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This is very small mathematics problem (aircraft trajectory optimization related), Please bid if u have only proper knowledge about the trajectory optimization, And do not bid to high for this small project, u have maximum 40 hours to solve this problem and for the better look please check the attached files

- Let two 4D points be defined in the geodetic reference as:

A(38º55’N, 007º40’E, hA, 1h00)

B(48º53’N, 008º50’W, hB, 3h10),

with hA=6000m e hB=1100m being the corresponding altitudes with respect to Sea level.

1. Define the 4D flight plan for a trip from A to B passing through five intermediate waypoints (taking into account limitations/constraints on the aircraft velocity, acceleration, flight path angle and angular rates).

2. Determine the minimum flight distance from A to B along the five intermediate waypoints mentioned above.

3. Model, implement and validate through simulation the continuous trajectory approximation problem along the waypoint sequence as defined above taking into account a tolerance sphere with radius equal to 500m centered at each intermediate waypoint.

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