1. 1AAE 450 Spring 2008 Scott Breitengross Mar 27, 2008 Trajectory group, Delta V, Saturn V, Feasability Determination, 1 kg Final Design Final Presentation

2. 2AAE 450 Spring 2008 200g Balloon Launch Parameters Trajectory Tables generated from trajectory code output data Orbit Parameters VariableValueUnits Periapsis677.39 * km Apoapsis755.05 * km Eccentricity0.0055-- Inclination28.5deg Semi-Major Axis7092.22km Period5944.0760sec *Values are from the surface of the Earth. ΔV Breakdown VariableValueUnitsPercent ΔV total 9313m/s -- ΔV drag 6m/s 0.043 ΔV gravity 1991m/s 21.379 ΔV Earth assist 411m/s 4.413 ΔV leo 7727m/s 82.97

3. 3 ΔV Equations  Where μ is the gravitational constant and R p is the Radius of the periapsis from the center of the earth  Where D(t) is the drag profile and m(t) is the mass profile  Where g(t) is the gravity profile and γ (t) is the flight path angle  Where R e is the radius of the Earth, φ is the launch latitude, and t d is time in a day in seconds *all equations generated in Space Propulsion, Analysis and Design Book.

4. 4 200g Additional Data Coefficients for Steering Law VariableValueUnits a1 -2.02785e-1 -- b1 2.8636253e1 -- a2 -6.58045e-3 -- b2 1.80044e0 -- a3 3.22302e-19 -- b3 -4.66308e-1 -- numbers refer to stage number Orbit and model generated by trajectory code

5. 5  Where T(t) is the Thrust profile and m(t) is the mass profile References: Humble, Ronald W., Henry, Gary N., Larson, Wiley J., Space Propulsion Analysis and Design. The McGraw-Hill Companies Inc. St. Louis, Missouri, 1995.