AE 457/641 Navigation and Guidance

Contents
  1. Position fixing (terrestrial navigation) (Ref. 1, 2, 3, 4)
    1. Using two bearing measurements
    2. Using two range measurements
    3. Using three pseudo-range measurements
    4. Using two range differences (hyperbolic positioning)
    5. Using two differences of bearings
    6. Using nonsimultaneous measurements
  2. Celestial navigation (Ref. 4)
  3. Velocity estimation using range rate (Ref. 4)
  4. Dead reckoning
  5. Courses: Rhumb line and great circle courses (Ref. 4)
  6. Radio navigation aids - principles and operation: VOR, ADE, DME, LORAN, OMEGA, DECCA (Ref. 4, 5)
  7. Probability theory:
    1. Random variables, density and distribution functions, expectation and variance, Gaussian distribution
    2. PDF of a function of a random variable, expectation and variance of a linear function of a random variable
    3. Multiple random variables, joint density and distribution functions, covariance matrix, linear transformations of random vectors
    4. Multi-variate Gaussian distribution, error ellipsoids
  8. Analysis of navigational error
  9. Best Linear Unbiased Estimate (BLUE) of position from erroneous estimates/measurements
  10. Inertial navigation
  11. Classification of missiles and missile guidance schemes
  12. Pursuit guidance
    1. Closed-form solutions
    2. Linearized terminal phase analysis
    3. Linearized analysis of miss distance due to LATAX saturation
  13. Proportional guidance (Ref. 6, ch. 2)
    1. Collision triangle
    2. Linearized miss distance equations, homing loop
    3. Miss distance due to initial launch errors and step target maneuvers
  14. Method of adjoints (Ref. 6, ch. 3, refs. 7, 8, 9)
    1. Rules for forming an adjoint
    2. Use of the adjoint for computing the miss distance
  15. Augmented proportional guidance, proportional command guidance (Ref. 6, ch. 8,10)
  16. Strategic guidance (Ref. 6)
    1. Polar equation of a ballistic trajectory (ch. 12)
    2. Hit equation, time of flight (ch. 12)
    3. Lambert's problem, Lambert guidance (ch. 14)

References:
  1. E. W. Anderson, The principles of navigation, 1966 (kept in the study room section).
  2. A. C. Gardner and W. G. Creelman, Navigation, 1965 (kept in the study room section).
  3. C. H. Cotter, The elements of navigation, 1953 (kept in the study room section).
  4. B. Hofmann-Wellenhof, K. Legat, M. Wieser, Navigation: Principles of positioning and guidance, 2003.
  5. J. Powell, Aircraft radio systems, 2006.
  6. P. Zarchan, Tactical and Strategic Missile Guidance, 1997 (kept in the study room section).
  7. J. H. Laning and R. H. Battin, Random Processes in Automatic Control, 1956, pp. 239-247, 398-403.
  8. S. Fifer, Analogue Computation: Theory, Techniques and Applications, 1961, Chapter 27.
  9. A. E. Rogers and T. W. Connolly, Analog Computation in Engineering Design, 1960, Chapter 8.