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Notes%20JS%20Part%201%20BP

# Notes%20JS%20Part%201%20BP - J S1 Orbital Maneuvers Thus...

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Orbital Maneuvers Thus far, only consider orbit characteristics But, artificial satellites change orbits consider maneuvers and estimate velocity changes required for particular mission objectives Discussion: 1. Orbit establishment 2. Single impulse adjustments 3. Transfers 1. Orbit Establishment Relating position/velocity to orbit characteristics JS1

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,, rv characterize orbit Known: h r v h rv   (JS.1)   2 r dr dr h vr dd r      2 2 1 cos h dr h d e r       (JS.2) Rearrange (JS.1) and (JS.2) cos 1 hv e  sin r r rv v hv e      22 2 cos sin e e e   2 2 2 2 2 2 2 2 (cos ) (sin ) cos 1 r v v hv  2 4 4 2 4 2 2 2 (cos ) (cos )(sin ) 2 cos 1 r v r v rv   JS2 sin cos   2 1 cos
(JS.3) 2 22 sin cos tan cos 1 1 r rv v rv hv rv      (JS.4) JS3

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