Aerospace and Electronic Systems Magazine July 2017 - 28

Reaction Control Thruster Configurations for a Three-Axis Attitude Control System
Table 3.

The LR and Configuration Matrix of Each Configuration
Conf. No.

LR

Conf. Matrix, A

Conf. 1

0

0.354 R
0.354 R
−0.354 R
−0.354 R




0.354 L
0.707 R − 0.612 L
−0.354 L
0.612 L − 0.707 R


0.354 L
0.612 L − 0.707 R
0.707 R − 0.612 L 
−0.354 L

Conf. 2

0

 R −R 0 −R R 0 


0 L 0 0 −L
0
 − L L 0 − L L 0 

Conf. 3

0

R −R 0 −R R
 0


R
0
0 R 0 0
−

 0 − L L 0 − L L 

Conf. 4

0

 0.707 R −0.707 R 0.707 R −0.707 R 0.707 R −0.707 R 


0.966 L 0.707 L −0.707 L −0.966 L −0.259 L 
 0.259 L
 −0.966 L 0.259 L 0.707 L 0.707 L
0.259 L −0.966 L 

Conf. 5

0

 R −R 0 −R R 0 
1 

L
L −R −L −L R

2
 − L L
0 − L L 0 

Conf. 6

1

 R −R R −R R −R R −R
1 

L
L L −L −L −L −L L 
2
 − L L L L

L −L −L −L 

Conf. 7

1

 0 −R 0 R 0 −R 0 R 


0 L R 0 0 −L
− R 0
 0
L − R 0 0 − L R 0 

Conf. 8

1

0 
 R −R 0 0 −R R 0


0 L R 0 0 −L −R
0
 − L L 0 0 − L L 0
0 

Conf. 9

1

R −R −R −R −R R R
R
1 

R R R
−R −R −R −R R

2
L − L − L L L 
 − L − L L

Conf. 10

2


0
R


L
L
2


L
0 −
2


−R
L
−
2
L
2

0
R
2
R
2

0
R
−
2
R
−
2

0

0

R
L
0 −L −
2
L
L 0
2

−R
L
2
L
−
2

0
R
−
2
R
−
2

0
R
2
R
2

Conf. 11

2

R −R 0 
 R −R 0 R −R 0 R −R 0


0
0
0
0
0
0
−
−
−
L
L
L
L
L L

0
0 − L 
 − L L 0 0 0 L L − L 0

Conf. 12

2

 R −R 0 R −R 0 R −R 0 R −R 0 


0 −R L −L 0 0 0 R −L L 0 
0
 − L L
0 0 0 −R L −L 0 0
0 R 

Conf. 13

3

Conf. 14

3

 R
−
 2
 L

 2
 L

 2

R
2
L
2
L
−
2

R
2
L
−R R −
2
L
0 0
2
0

0

−

R
2
L
2
L
2

R
2
L
0 0 −
2
L
−R R −
2
0

0

−

R
2
L
−
2
L
2

R
2
L
R −R
2
L
0 0 −
2
0

0

−


0 

0


−L


R
2
L
−
2
L
−
2


0 


0 0 


R −R

0

 R −R 0 0 R −R 0 0 −R R 0 0 −R R 0 0 


0 −R R L −L 0 0 0 0 R −R L −L 0 0 
0
 − L L
0 0 0 0 −R R −L L 0 0
0
0 R − R 

Conf., configuration.

28

IEEE A&E SYSTEMS MAGAZINE

JULY 2017



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