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please use Matlab and share a screen shot if possible. Problem 2 Two key pieces of information in orbital mechanics relates to the size and

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please use Matlab and share a screen shot if possible.

Problem 2 Two key pieces of information in orbital mechanics relates to the size and shape of an orbit. The size of an orbit is described by its semi-major axis a. The shape of an orbit is given by its eccentricity e. One angular position of a satellite is known as the true anomaly e, which represents the satellite's angular position relative to the location on the orbit closest to the central gravitational source. (This location closest to the central gravitational source is known as periapsis.) The semi-latus rectum p of an orbit is a useful piece of information for calculating other orbital parameters. Geometrically, the semi-latus rectum p is the length of its position vector when true anomaly @ is 90 deg (or, geometrically equivalent, 270 deg). The semi-latus rectum p of an orbit is given by the equation p= a(1-e?) (4) The scalar position r of a satellite can then be given as r = 1+e cos(@) (5) In addition, the scalar velocity v of a satellite is given as V = 1 a (6) where ji is the standard gravitational parameter of the orbit's central gravitational source (a physical constant). Observe that the satellite's position and velocity are ultimately dependent on the satellite's angular position on the orbit relative to periapsis. For a given satellite, it is known that: The semi-major axis a of the orbit is 15,000 km. The eccentricity e of the orbit is 0.3 (unitless). The true anomaly of the satellite at a given point in time on the orbit is 45 deg. The standard gravitational parameterli of the central gravitational source for the orbit is 3.986 x 105 km3/sec. Calculate the scalar position r and scalar velocity v of the satellite on this orbit at the time associated with the satellite's true anomaly e (i.e. use Eqtns. 1, 2, and 3, in that order). To do this, write a MATLAB script to: Declare the value of pi to be a global variable. Allocate the values of a, e, e, and u. Call a programmer-defined function, sending the values of a, e, and to it as function input variables. (Remember, u should be a global variable, so do not pass the value of li as a function input variable.) Receive the output of a programmer-defined function, accepting the values of rand v from it as function output variables. (Note that you are not being asked to return the value of p.) Write a programmer-defined function (as a separate file) to: Accept the value of as a global variable (not as a function input argument). Accept the values of a, e, and as function input variables. Calculate the values of p, r, and v. Return the values of r and v as function output variables. (Note that you are not being asked to return the value of p.) Don't forget to label the units in your comments

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