1. Junichi (Jun) Kanehara 02/21/2008 Trajectory Validation of Thrust in the Trajectory Codes
AAE 450 Spring 2008

2. Test #1 Procedure Set Drag = 0 >> Assume No Atmosphere
Calculate for each stage,
using the data from Ariane 4, Saturn V and Pegasus
Compare with the historical data.
Results
The calculated values matched with the historical data!!
(3-5 or more significant figures)
Special Thanks to Kevin & Mr. Tsohas for helping us
AAE 450 Spring 2008
Trajectory

3. Test #2 Full Atmosphere Thrust in Vacuum Condition
Exit Pressure and Exit Area were calculated.
Thrust in Vacuum Condition
Thrust in Sea Level Condition
AAE 450 Spring 2008
Trajectory

4. Nozzle Expansion Ratio
Backup Slides
Ariane 4
# of engines: 4
1st Stage
2nd Stage
3rd Stage
Thrust
Sea Level
676.9
[kN]
Vacuum
758.5
785
62.7
Isp
248.5
[s]
278.4
293.5
445.1
Pressure
chamber
5.85
3.50
[MPa]
Nozzle Expansion Ratio
(epsilon)
10.48
30.8
62.5
Special Thanks to Mr. Tsohas for providing the data
AAE 450 Spring 2008
Trajectory

5. Nozzle Expansion Ratio
Backup Slides
Saturn V, First Stage
Thrust
Sea Level
6,747.50
[kN]
Vacuum
7,740.50
Isp
265
[s]
304
Pressure
chamber
7.0
[MPa]
Nozzle Expansion Ratio
(epsilon) 16
AAE 450 Spring 2008
Trajectory

6. Backup Slides Solve for and get Solve for and get Trajectory
Special Thanks to D.Lattibeaudiere
for co-working on prop_test.m
AAE 450 Spring 2008
Trajectory

7. Test #1: Delta_V_Thrust_Total
Backup Slides
Test #1: Delta_V_Thrust_Total
Ariane 4: 10,120[m/s]
Saturn V: 13,470 [m/s]
Pegasus: 8,360 [m/s]
AAE 450 Spring 2008