AE 457/641
Navigation and Guidance
Contents
- Position fixing (terrestrial navigation) (Ref. 1, 2, 3, 4)
- Using two bearing measurements
- Using two range measurements
- Using three pseudo-range measurements
- Using two range differences (hyperbolic positioning)
- Using two differences of bearings
- Using nonsimultaneous measurements
- Celestial navigation (Ref. 4)
- Velocity estimation using range rate (Ref. 4)
- Dead reckoning
- Courses: Rhumb line and great circle courses (Ref. 4)
- Radio navigation aids - principles and operation: VOR, ADE, DME,
LORAN, OMEGA, DECCA (Ref. 4, 5)
- Probability theory:
- Random variables, density and distribution functions,
expectation and variance, Gaussian distribution
- PDF of a function of a random variable, expectation and
variance of a linear function of a random variable
- Multiple random variables, joint density and distribution
functions, covariance matrix, linear transformations of random vectors
- Multi-variate Gaussian distribution, error ellipsoids
- Analysis of navigational error
- Best Linear Unbiased Estimate (BLUE) of position from erroneous
estimates/measurements
- Inertial navigation
- Classification of missiles and missile guidance schemes
- Pursuit guidance
- Closed-form solutions
- Linearized terminal phase analysis
- Linearized analysis of miss distance due to LATAX saturation
- Proportional guidance (Ref. 6, ch. 2)
- Collision triangle
- Linearized miss distance equations, homing loop
- Miss distance due to initial launch errors and step target
maneuvers
- Method of adjoints (Ref. 6, ch. 3, refs. 7, 8, 9)
- Rules for forming an adjoint
- Use of the adjoint for computing the miss distance
- Augmented proportional guidance, proportional command guidance
(Ref. 6, ch. 8,10)
- Strategic guidance (Ref. 6)
- Polar equation of a ballistic trajectory (ch. 12)
- Hit equation, time of flight (ch. 12)
- Lambert's problem, Lambert guidance (ch. 14)
References:
- E. W. Anderson, The principles of navigation, 1966 (kept in the
study room section).
- A. C. Gardner and W. G. Creelman, Navigation, 1965 (kept in the
study room section).
- C. H. Cotter, The elements of navigation, 1953 (kept in the study
room section).
- B. Hofmann-Wellenhof, K. Legat, M. Wieser, Navigation: Principles
of positioning and guidance, 2003.
- Contains a concise treatment of all
topics related to navigation. Gives a mathematical treatment using
familiar terminology and notation.
- J. Powell, Aircraft radio systems, 2006.
- Contains detailed
descriptions of radio navigation systems and equipment. Is not a book
on navigation principles, but useful to look up to understand.
- P. Zarchan, Tactical and Strategic Missile Guidance, 1997 (kept
in the study room section).
- J. H. Laning and R. H. Battin, Random Processes in Automatic
Control, 1956, pp. 239-247, 398-403.
- S. Fifer, Analogue Computation: Theory, Techniques and
Applications, 1961, Chapter 27.
- A. E. Rogers and T. W. Connolly, Analog Computation in
Engineering Design, 1960, Chapter 8.