Spacecraft and Aircraft Dynamics - Lecture 5 - Illinois Institute of ...

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Solutions for Hyperbolic OrbitsReference HyperbolaWe will not get into details!• defined using the reference hyperbola, tangent at perigeex 2 −y 2 = 1M. Peet Lecture 5: Spacecraft Dynamics 10 / 26
Recall your Hyperbolic Trig.Cosh and SinhRelate area of reference hyperbola to lengths.• Yet another branch of mathematics developed for solving orbits (Lambert).M. Peet Lecture 5: Spacecraft Dynamics 11 / 26
Page 1 and 2: Spacecraft and Aircraft DynamicsMat
Page 3: Given t, find r and vFor elliptic o
Page 6 and 7: What are these Angles?Mean AnomalyM
Page 8 and 9: Relationships between M, E, and fM
Page 12 and 13: Hyperbolic Anomaly• Hyperbolic An
Page 14 and 15: Relationship between M and f for Hy
Page 16 and 17: Example: Jupiter FlybyM. Peet Lectu
Page 18 and 19: Example ContinuedWe need to find th
Page 20 and 21: The Orbital ElementsSo far, all orb
Page 22 and 23: Inclination, iAngle the orbital pla
Page 24 and 25: Argument of Periapse, ωAngle measu
Page 26: SummaryM. Peet Lecture 5: Spacecraf

Spacecraft and Aircraft Dynamics - Lecture 5 - Illinois Institute of ...

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