Aircraft Trajectory Optimization (loxodeomic/ortodromic exercise problem)

Cerrado

I need the solution of following 3 Question as soon as possible 6/8 hours, I think not so difficult if you have knowledge about those topics, Specially looking for Solution from Aeronautical related people, And Please do not bid if you have no knowledge about those topics and if are not sure.

And for the 3rd question U can solve by hand or by Matlab. And if u r having problem to read the question please see the attachment, i think its more clear

1) Considering two points A (39deg15'N, 007deg048'E) and B (49deg33'N, 008deg35’ W)

a) calculate the loxodromic distance between A and B

b) calculate the Ortodromic distance between A and B

2) Considering two points, A (38deg04'N, 37deg48'E,7200 m) and B (40deg17'N, 038deg 35’ E, 8850 m )

a) Calculate the speed (assumed constant) and the angle of the necessary for the intended flight path from A to B in three hours and twelve minutes

b) Calculate the rate of direction that allows for the same route at the same speed in two hours and 20 minutes if the course starts (out of A) for the 100 degree?

3. An aerial vehicle is in position A (38 ° 04'N, 007 ° 48'W, 1500m)

in time t_0= 0, and with a constant speed of v = 170ms^(-1) maintains a constant heading X = 85^0 and an angle of trajectory variable ϒ (t) = [url removed, login to view] (in degrees). “t” being the time in seconds (with t ≥ t_0 ). Determining the vehicle position in the reference geodetic after 20 seconds of flight (from time t_0= 0). (Assume that the earth is spherical with radius R = 6400 km ).

Habilidades: Ingeniería aeronáutica, Ingeniería aeroespacial, Ingeniería, Matemáticas, Mathlab y Mathematica

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ID de proyecto: #11810632

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Evgen64

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