| LEC # | TOPICS |
|---|---|
| 1 | The two-body problem (PDF) |
| 2 | The two-body problem (cont.) (PDF) |
| 3 | Barker's equation and Kepler's equation (PDF) |
| 4 | The initial-value problem (PDF) |
| 5 | Euler angles (PDF) |
| 6 | The orbital boundary-value problem (BVP) (PDF) |
| 7 | Optimum orbital transfer (PDF) |
| 8 | Analytical and geometric properties of the BVP (PDF) |
| 9 | Lambert's theorem and the Lagrange time equation (PDF) |
| 10 | Transformation of the BVP (PDF) |
| 11 | Hyperbolic orbits (PDF) |
| 12 | Patched conics and planetary flybys (PDF) |
| 13 | Gauss's method for the time-constrained BVP (PDF) |
| 14 | Hypergeometric functions and continued fractions (PDF) |
| 15 | The fundamental ellipse of the BVP (PDF) |
| 16 | Non-singular 'Gauss-like' method for the BVP (PDF) |
| 17 | The Battin-Vaughan algorithm for the BVP (PDF) |
| 18 | Preliminary orbit determination using Taylor series (PDF) |
| 19 | The state transition matrix (PDF) |
| 20 | Powered flight guidance (PDF) |
| 21 | Space navigation: the position fix (PDF) |
| 22 | The covariance, information, and estimator matrices (PDF) |
| 23 | Estimation of position and velocity in space navigation (PDF) |
| 24 | Basic elements of the three-body problem (PDF) |
| 25 | The restricted problem of three bodies (PDF) |
| 26 | The Clohessy-Wiltshire equations of relative motion (PDF) |
| 27 | Variation of parameters (PDF) |
| 28 | Effect of atmospheric drag on satellite orbits (PDF) |
| 29 | The disturbing function and Legendre polynomials (PDF) |
| 30 | Effect of J2 on a satellite orbit of the Earth (PDF) |
| 31 | The calculus of variations and lunar landing guidance (PDF) |
| 32 | Powered flight guidance to maximize final energy (PDF) |
| 33 | Runge-Kutta method of numerical integration (PDF) |
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