AE 402




  • Text: Orbital Mechanics by Prussing and Conway, Oxford University Press, 2nd edition 2012

    The most recent Errata is available as a PostScript file Errata.2ed.ps . and as a PDF file Errata.2ed.pdf .

    (If you find a typo that is not listed, please let Prof. Prussing know.)

    Material covered in the course is in Chapters 1–3 and 5–11 of the text plus other parts as time permits.


  • Catalog Description:

    Analysis of orbits in an inverse-square gravitational field; elementary rocket dynamics, impulsive orbit transfer and rendezvous, and Lambert's Theorem with applications; patched-conic trajectories, planetary gravity-assist maneuvers, and linearized orbit theory with application to simplified analytical models; perturbations. Prerequisite: AE 202, or consent of instructor. 3 undergraduate hours. 3 or 4 graduate hours.


  • Topics:

  • The n-body problem in an inverse-square gravitational field

  • The two-body problem; justification, geometry, and dynamics

  • Time vs. position in orbit: Kepler's equation, universal variables

  • Orbital elements and related topics

  • Lambert's theorem with application to spacecraft targeting

  • Rocket dynamics; the rocket equation and staging

  • Impulsive orbit transfer and rendezvous; Hohmann, bi-elliptic, and other transfers

  • Continuous-thrust transfers

  • Patched-conic techniques and planetary gravity-assist maneuvers

  • Linear orbit theory; the Hill-Clohessy-Wiltshire (CW) equations

  • Perturbations due to disturbing accelerations (drag, oblateness, other bodies)