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AE202 Problem Set 4

# AE202 Problem Set 4 - AE202 Problem Set 4 DUE 18 March 2011...

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AE202 Problem Set 4 DUE: 18 March 2011 Spring 2011 Include a printout of your MATLAB code with your homework solutions. Email electronic copies of your MATLAB functions to [email protected] . In a single zip (or rar) file named LastName_FirstName_AE202HW4.zip . Please include AE202 Homework 4 in the subject line of the email. 1) Build an orbit propagator in MATLAB using ode45. The orbit propagator should numerically integrate the 2D Cartesian equations of motion, given by 3 3 x y x y xv yv vx r vy r  where 22 r x y  a) Use your orbit propagator to show that the radius and velocity that you found for problem 8.5 in Anderson produces a circular orbit with period 24 hours (a Geosynchronous orbit). μ earth =398600.440 km 3 .s -2 b) As of 12:00am 9 March 2011, the Earth had the following position and velocity (in km and km.s -1 respectively) 1.458240050323911E 08 3.114907245044354E 07 1.478687492398545E 03 6.715255132769428 29.26108860586488 1.382868933029968E 03 r v    

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Ignore z position and velocity. Propagate the orbit forward 1 Earth year (365.25636d).
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AE202 Problem Set 4 - AE202 Problem Set 4 DUE 18 March 2011...

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