Orbital Elements

Orbital Elements - Application of Energy Equation JIN KANG...

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JIN KANG Application of Energy Equation
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Mission! ! Develop a satellite that can spy on them Canadians (96% of population concentrated on border!!) ! Orbit? ! Fuel? ! Altitude? ! Need to develop skills to be able to calculate parameters ! Last time " understanding orbits ! Next step " calculating orbit parameters
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Similar Form ! " cos ) ( 1 / 2 B h r # $ cos 1 e p r # $ 2 h p $
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a c e $ ) 1 ( 2 e a p % $
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! 0 cos 1 min e p r r periapsis # $ $ ) 1 ( 2 e a p % $ ) 1 ( 1 e a e p r p % $ # $
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F F r v ! v r h " " " $ sin rv h $
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F F r p v p sin rv h $ r a v a p p a a v r v r h $ $ periapsis apoapsis
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r v " ( % $ 2 2 p p r h v $ p p r r h % $ 2 2 2 + ) 1 ( 2 2 e a h % $ " ) 1 ( ) 1 ( 2 ) 1 ( 2 2 2 e a e a e a % % % % $
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) 1 ( ) 1 ( 2 ) 1 ( 2 2 2 e a e a e a % % % % $ " ( a 2 % $
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-2c -2a 2p a 2 " ( % $
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a r v 2 2 2 " ( % $ % $ a r cs $ cs cs cs r r v 2 2 2 % $ % $ cs cs r v $
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Space Station Orbit cs cs r v " $ ! Earth’s ! : 398,600 x 10 9 m 3 /s 2 ! r cs = R earth + R orbit ! r cs = 6,400 km + 350 km ! v cs = 7.7 km/s " 8 times speed of bullet
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) ) % $ % $ r v r v esc " ( 2 2 2 2 0 0 r v esc 2 $ ! : 398,600 x 10^9 m3/s2
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V1 V1 + V2 V1 V1+V2 V2 = Gravity-assist Swing by
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" 2 2 2 b a c # $ c a $ 2 sin * e 1 2 sin $
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This note was uploaded on 04/26/2011 for the course MEM 373 taught by Professor Jinkang during the Spring '11 term at Drexel.

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Orbital Elements - Application of Energy Equation JIN KANG...

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