AeroAstro 4362 Astrodynamics The StarWars Intercept Problem

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Aero/Astro 4362AstrodynamicsThe Star-Wars
Intercept Problem
Homework 10 Solution
Week 6 Vallado, Sections 6.1, 6.2, 6.3
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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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Part 1 Orbit Parameters
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Part 2 Nominal Hohmann Transfer
Orbit Parameters and Time of Flight
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Part 2 Nominal Hohmann Transfer(contd)
DVs
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Part 2 Nominal Hohmann Transfer(contd)
Lead Angle
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Anomalous Burn
DV1anom 1.25 DV1Hohmann 0.8738 km/sec
Trajectory is still elliptical
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Anomalous Burn (contd)
Orbit Parameters For Anomalous orbit
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Anomalous Burn (contd)
Period of Anomalous Orbit
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Anomalous Burn (contd)
Use Keplers Equation to Solve for Time of Flight
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Anomalous Burn (contd)
Enterprise Position at time Shuttle Craft
Intersects orbit
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Anomalous Burn (contd)
Miss Angle and Distance The Faster Run, the
Behinder I Get
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Hyperbolic Burn
What would happen if The impulse engines would
introduce 70 too much DV? (Warning! Your
trajectory may no longer be an ellipse)
DV1anom 1.70 DV1Hohmann 1.18837 km/sec
Trajectory is now Hyperbolic
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Hyperbolic Burn
By speeding up you Fall further behind!
(Sometimes! Orbitology is NOT! Intuitive)