AeroAstro 4362 Astrodynamics The StarWars Intercept Problem

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Aero/Astro 4362AstrodynamicsThe Star-Wars
Intercept Problem
Week 6 Vallado, Sections 6.1, 6.2, 6.3
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Star Wars Problem Schematic
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What do we know?
Warhead Booster
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Solve for Eccentricity of Transfer Trajectory
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Solve for Eccentricity of Transfer Trajectory
(contd)
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Transfer Trajectory Eccentricity
eT
DVT / Vc1
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Solve for Transfer Trajectory Semi-major Axis
Absolute Value
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Transfer Trajectory Semi-major Axis
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Outer Orbit Intercept Point
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Outer Orbit Intercept , Elliptical Trajectory
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DVmin Hohmann Transfer DV
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Intercept Angle Graphs (Elliptical Transfer)
180? -gt Hohmann Transfer
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Outer Orbit Intercept ,Parabolic Trajectory
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Outer Orbit Intercept ,Parabolic Trajectory
(contd)
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Outer Orbit Intercept ,Parabolic Trajectory
(contd)
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Outer Orbit Intercept, Hyperbolic Trajectory

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Outer Orbit Intercept ,Parabolic Trajectory
(continued)
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Intercept of the Outer Orbit (summary)
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Time of Flight to Intercept Point
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Keplers Relationships for an Ellipse
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Elliptical, Time-of-Flight Graphs
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Keplers Relationships for a Parabola
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Keplers Relationshipsfor a Parabolic Trajectory
TOF ---gt Elapsed time since (until) passage of
the Orbit Perigee
TOF -- Time from perigee passage
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Parabolic, Time-of-Flight Graph
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Keplers Relationshipsfor a Hyperbolic Trajectory
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Hyperbolic, Time-of-Flight Graphs
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Homework 10
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Rendezvous Plan
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Rendezvous Plan (cont d)
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Rendezvous Plan (cont d)
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Checking the Tolerances of the Rendezvous
Calculations
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Checking the Tolerances of the Rendezvous
Calculations (contd)
What would happen if The impulse engines would
introduce 70 too much DV? (Warning! Your
trajectory may no longer be an ellipse)