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PS3_2010_Soln[1]

# PS3_2010_Soln[1] - -6 Problem 2 a Go through the new...

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Problem 2 a) Go through the new propagators manual b) Given initial conditions: a = 78,000 km e = 0.3 i = 23 o RAAN = 0 o = 0 o *= 0 o Using two different propagators and ending at the next periapse: I) Propagator model used: EO (Simple numerical twobody) Stopping Condition Information (Gregorian Date [Julian Date]): 4 Sep 2010 00:13:16.808 [2455443.50922232]: Stopped on: Periapsis; Run Sequence STOP State Vector in Coordinate System: Earth J2000 Parameter Set Type: Keplerian sma: 78000.0000000201250000 km RAAN: 4.030667610869578e-008 deg ecc: 0.3000000000002452 w: 359.9999999589338 deg inc: 23.00000000040826 deg TA: 3.936332800407732e-008 deg Rad. Apo: 101400.0000000452900000 km Period: 216796.8084673154 sec Period: 3613.280141121923 min Period: 60.22133568536538 hr Period: 2.509222320223557 day There’s no significant change from the given initial conditions since the model was a simple twobody point mass model in which these parameters remain constant II) Propagator model used: Earth_+_Moon_+_Sun (Simple Stopping Condition Information (Gregorian Date [Julian Date]): 4 Sep 2010 00:13:05.325 [2455443.50908941]: Stopped on: Periapsis; Run Sequence STOP State Vector in Coordinate System: Earth J2000 Parameter Set Type: Keplerian sma: 78000.1795086624770000 km RAAN: 0.004691164984909985 deg ecc: 0.2999168049807292 w: 359.9093721606768 deg inc: 23.00032856028078 deg TA: 4.611448053573733e-009 deg Rad. Apo: 101393.7441348238800000 km Period: 216797.5568696836 sec Period: 3613.292614494727 min Period: 60.22154357491211 hr Period: 2.509230982288005 day There’s a small difference in the final state now, given by the perturbation of the Moon In the images taken it’s difficult to see the difference, so an extreme closeup is also shown
c) ii) a = 127,000 km e = 0.5686275 i = 23 o RAAN = 0 o = 0 o *= 0 o Still, there is not much difference in the two orbits. Visually again it’s hard to tell the difference in the final orbits. The labels shown in this figure indicate the slight difference in their positions at the final time.

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