AAE 450 Spring 2008

Kyle Donahue2/7/2008

Trajectory Analyst, CAD GCSteering Angle trends

AAE 450 Spring 2008

Delta V and Steering Angle

Trajectory Optimization

-100 -80 -60 -40 -20 012000

12500

13000

13500

14000

14500

15000

15500

16000

Psi(1)=87 Psi(3) Vs DV

Psi(2)=0

Psi(2)=-10

Psi(2)=-20

Psi(2)=-30

Psi(3) angle [deg]

DV

[m

/s]

-100 -50 020000

22000

24000

26000

28000

30000

32000

34000

Psi(1)=60 Psi(3) Vs DV

Psi(2)=0Psi(2)=-10Psi(2)=-20Psi(2)=-30

Psi(3) angle [deg]

DV

[m

/s]

AAE 450 Spring 2008

DV drag and Steering Angle

Trajectory Optimization

Future Work:• Implementing a better steering

-35 -30 -25 -20 -15 -10 -5 00

500

1000

1500

2000

2500

Psi(2) Vs DV_drag

Psi(1)=87Psi(1)=60

Psi(2) [deg]

DV

dra

g [

m/s

]

AAE 450 Spring 2008

Backup Slides – References Kanehara, Junichi, Allen Guzik, Amanda Briden, Bradley Ferris, Daniel

Chua, Elizabeth Harkness, Kyle Donahue. AAE450 Senior Design Trajectory Code.

Trajectory Optimization

AAE 450 Spring 2008

Backup Slides – What Angles Mean

Trajectory Optimization

AAE 450 Spring 2008

Backup Slides – Including Psi(2)=10

Trajectory Optimization

-100 -90 -80 -70 -60 -50 -40 -30 -20 -10 00

2000

4000

6000

8000

10000

12000

14000

16000

18000Psi(1)=87 deg with Psi(3) Vs DVPsi(2)=10

Psi(2)=0

Psi(2)=-10

Psi(3) - Third steering law Angle [deg]

DV

[m

/s]

AAE 450 Spring 2008

Back up slide: Including Psi(2)=10

-100 -80 -60 -40 -20 00

50000

100000

150000

200000

250000

300000

Psi(1)=60 deg with Varying Psi(3) Vs DV

Psi(2)=10Psi(2)=0Psi(2)=-10Psi(2)=-20Psi(2)=-30

Psi(3) - Third steering law angle [deg]

DV

[m

/s]

AAE 450 Spring 2008

Backup slide: Excel Sheetusing the 200g payload

psi (1) = 87 deg T1=350e3, T2=90e3, T3=20e3 psi (1) = 60 deg T1=550e3 T2=160e2 T3=70e3

psi(2) psi(1) 0 -10 -20 -30 psi(2) psi(1) 10 0 -10 -20 -30

-90 12567 834 13678 756 14283 739 13761 731 -90 26312 25246 24405 22218 20790

-85 12646 834 13746 756 14339 739 13798 731 -85 25992 25459 24561 22315 20857

-80 12725 834 13816 756 14399 739 13841 731 -80 25690 25674 24724 22421 20928

-75 12805 834 13891 756 14466 739 13890 731 -75 25401 25893 24899 22539 21013

-70 12889 834 13971 756 14541 739 13949 731 -70 25121 26121 25089 22672 21116

-65 12977 834 14058 756 14628 739 14021 731 -65 24845 26360 25300 22827 21213

-60 13070 834 14154 756 14729 739 14113 731 -60 24570 26616 25537 23011 21407

-55 13171 834 14264 756 14852 739 14234 731 -55 24292 26894 25812 23238 21628

-50 13283 834 14390 756 15004 739 14399 731 -50 261977 27201 26138 23526 21940

-45 13409 834 14538 756 15196 739 14616 731 -45 86445 27548 26536 23908 22389

-40 13552 834 14717 756 15434 739 14809 731 -40 58258 27946 27040 24437 22947

-35 13721 834 14936 756 15679 739 14538 731 -35 45729 28415 27707 25198 23009

-30 13922 834 15203 756 15784 739 12770 731 -30 38328 28980 28635 26288 22058

-25 14168 834 15514 756 15334 739 - - -25 33286 29677 30017 27762 -

-20 14473 834 15796 756 14131 739 - - -20 29547 30555 32285 30877 -

-15 14849 834 15798 756 - - - - -15 26614 31665 34462 - -

-10 15281 834 15190 756 - - - - -10 24231 33001 33466 - -

-5 15644 834 - - - - - - -5 31086 34276 - - -

0 15616 834 - - - - - - 0 34580 34639 - - -

psi(2) psi(1)0 -10 -20 -30 0 -10 -20 -30

-90 1971 1378 1256 1201 834 756 739 731-80 1971 1378 1256 1201-70 1971 1378 1256 1201-60 1971 1378 1256 1201-50 1971 1378 1256 1201-40 1971 1378 1256 1201-30 1971 1378 1256 1201-20 1971 1378 1256--10 1984 1378- -0 1984- - -