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y. x. X. Y. Two coordinate frames: and fixed inertially x and y rotate with Earth-Moon system. Circular-Restricted Three-Body Problem. Equations of Motion (including thrust) :. * Much more accurate than patched two body model
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y x X Y • Two coordinate frames: • and fixed inertially • x and y rotate with Earth-Moon system Circular-Restricted Three-Body Problem Equations of Motion (including thrust): • *Much more accurate than patched two body model • *Gravity effects of Earth and moon are always taken into account Barycenter
Atmospheric Drag for Circular Parking Orbits • Assume Thrust of • 110 mN • Assume CD = 1.0 • Analysis based on cross section area of: • Solar Panels ~ 8 m2 • OTV ~ 4 m2 • Total Area ~ 12 m2 Recommend: Parking Orbit of 400 km – Drag drops to less than 5% of Thrust, Within capabilities of Dnepr Launch Vehicle
Backup Slides Drag Calculations FD ~ Newtons ρ ~ kg/m3 CD ~ dimensionless v ~ m/s A ~ m2 Curve fit for density based on altitude: Where h is altitude in km and ρ is in ng/m3 4