8
979 1-4244-1340-0/07$25.00 c 2007 IEEE

[IEEE 2007 IEEE Congress on Evolutionary Computation - Singapore (2007.09.25-2007.09.28)] 2007 IEEE Congress on Evolutionary Computation - Optimal design for a NEO tracking spacecraft

Embed Size (px)

Citation preview

Page 1: [IEEE 2007 IEEE Congress on Evolutionary Computation - Singapore (2007.09.25-2007.09.28)] 2007 IEEE Congress on Evolutionary Computation - Optimal design for a NEO tracking spacecraft

≥ ≥

979

1-4244-1340-0/07$25.00 c©2007 IEEE

Page 2: [IEEE 2007 IEEE Congress on Evolutionary Computation - Singapore (2007.09.25-2007.09.28)] 2007 IEEE Congress on Evolutionary Computation - Optimal design for a NEO tracking spacecraft

( )μ μ

μ

μ

= − + + − +

= − − + −

= −

= + + +

{ }

[ ]ωΩ

[ ]δ=

[ ]=

[ ]θ= Ω

θ ω= +

ω=

ω=

980 2007 IEEE Congress on Evolutionary Computation (CEC 2007)

Page 3: [IEEE 2007 IEEE Congress on Evolutionary Computation - Singapore (2007.09.25-2007.09.28)] 2007 IEEE Congress on Evolutionary Computation - Optimal design for a NEO tracking spacecraft

δ = −

( )

( )

( )

( )

θ ω κ θ

κ θ ω κ θ

δ

θ

θ ω κ θ

+ +

+ −

= =

+ +

( )μ= −

( )θ

κω

=

[ ]π

( )( )( )

( )( )( )

( )−

∂Φ =

∂=

( ) ( ) ( )≈ Φ ⋅

( )∈

= −

[ ]=

( )∈

= −

2007 IEEE Congress on Evolutionary Computation (CEC 2007) 981

Page 4: [IEEE 2007 IEEE Congress on Evolutionary Computation - Singapore (2007.09.25-2007.09.28)] 2007 IEEE Congress on Evolutionary Computation - Optimal design for a NEO tracking spacecraft

= − <

∩ ≠

ε

ε

ε

982 2007 IEEE Congress on Evolutionary Computation (CEC 2007)

Page 5: [IEEE 2007 IEEE Congress on Evolutionary Computation - Singapore (2007.09.25-2007.09.28)] 2007 IEEE Congress on Evolutionary Computation - Optimal design for a NEO tracking spacecraft

==

==

ψ υ ϖ υϕ= − +

ϖ

ϕ υ

( )∈

=

=

( )∈

≤=

+ >

{ } [ ]∈ −

−=

=

2007 IEEE Congress on Evolutionary Computation (CEC 2007) 983

Page 6: [IEEE 2007 IEEE Congress on Evolutionary Computation - Singapore (2007.09.25-2007.09.28)] 2007 IEEE Congress on Evolutionary Computation - Optimal design for a NEO tracking spacecraft

{ } [ ]∈ −

[ ]∈

( ) ( )

δ

δ

δδ

δ

δω

δ

= =

= = −

= == ⇔ =

= Ω = −

= − = −

= − =

=

984 2007 IEEE Congress on Evolutionary Computation (CEC 2007)

Page 7: [IEEE 2007 IEEE Congress on Evolutionary Computation - Singapore (2007.09.25-2007.09.28)] 2007 IEEE Congress on Evolutionary Computation - Optimal design for a NEO tracking spacecraft

t0 = 3253 MJD2000

t0 = 3789.78 MJD2000

( ) ( )

δ

δ

δδ

δ

δω

δ

= − =

= − =

= = −= ⇔ =

= − Ω =

= = −

= − = −

=

2007 IEEE Congress on Evolutionary Computation (CEC 2007) 985

Page 8: [IEEE 2007 IEEE Congress on Evolutionary Computation - Singapore (2007.09.25-2007.09.28)] 2007 IEEE Congress on Evolutionary Computation - Optimal design for a NEO tracking spacecraft

986 2007 IEEE Congress on Evolutionary Computation (CEC 2007)