MAE2_Lecture12

# MAE2_Lecture12 - Space Flight Mechanics II Orbital...

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Space Flight Mechanics II Orbital Manuevers In-Plane Hohmann Transfer Plane Changes Interplanetary Trajectories Escape Velocity Hyperbolic Orbits Gravity-Assist Maneuvers MAE 2 NASA Image

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2 MAE 2 In-Plane Maneuvers Any conic orbit can be converted to any other conic orbit by adjusting velocity. A spacecraft travels on the trajectory defined by its velocity at a point. orbit 1 orbit 2 V 2 = V 1 2 V 2 2 2 V 1 V 2 cos V V 1 V 2 r Smallest impulse (lowest energy) transfer occurs when the two orbits are tangent to each other
3 MAE 2 Flight Path Angles In-plane velocity changes result in a new flight path angle for the orbit. V V 1 V 2 r = 1 − 2 1 = flight pathof orbit 1 2 = flight pathof orbit 2 1 2 tan 1 = e 1 sin A1 1 e 1 cos A1 tan 2 = e 2 sin A2 1 e 2 cos A2

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4 MAE 2 Hohmann Transfer The Hohmann transfer is the minimum energy transfer between two coplanar non- intersecting orbits. orbit 1
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## This note was uploaded on 01/05/2011 for the course MAE 2 taught by Professor Nomura,k during the Fall '08 term at UCSD.

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MAE2_Lecture12 - Space Flight Mechanics II Orbital...

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