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# landau - Guidance for Hyperbolic Rendezvous Damon Landau...

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Guidance for Hyperbolic Rendezvous Damon Landau April 30, 2005

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April 30, 2005 Damon Landau 2 Earth-Mars Cycler Mission E5 E3 E1 M4 M2 E1-M2 170 days gravity assist E3 flyby from Mars cycler taxi
April 30, 2005 Damon Landau 3 Getting There cycler V =5 km/s taxi V =5 km/s r = 477,000 km one-day transfer lunar orbit Earth one hour before rendezvous V = 284 m/s V from LEO = 4.30 km/s cycler frame

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April 30, 2005 Damon Landau 4 Relative Motion ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 , ... = = + = + = + + = - = + r g r r g r a g r g r g rρ g r ρ r g r ρ r r ρ a r && && && && && 2 3 2 3 2 3 2 3cos 1 3cos sin 3cos sin 3sin 1 2 0 2 2 0 x x x y y y r r r r a a r or a r a r θ θ θ θ ρ ρ θ θ θ μ ρ ρ θ θ θ ρ ρ ρ μ θ θ θ ρ ρ ρ θ μ θ θ - = + - + = + + - - + - && && & && & && & && & & && & Earth cycler taxi ( ) t r ( ) t r ( ) t ρ \$ x \$ y r \$ \$ θ θ
April 30, 2005 Damon Landau 5 Guidance Algorithm ( 29 (

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landau - Guidance for Hyperbolic Rendezvous Damon Landau...

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