Describe the Keplerian elements and comment on how each changes with
time.
Show how Kepler's Third Law can be used determine a satellite's period.
Use several examples. What implications are there for satellite visibility?
Distinguish between "one-way" and "two-way" ranging.
What Termis the role of clocks in each?
Demonstrate how the intersection of three spheres gives two possible
solutions. How does one know which is correct? Derive the algebraic 3-D
position solution for range observations.
Extend the above solution to take into account common biases on all
range measurements taken simultaneously to several satellites.
Demonstrate how "relative" positioning is more accurate
than "absolute" positioning. Use a geometric and an algebraic
approach.
Demonstrate how the "clock error" of a hydrogen maser compares
to that of a quartz crystal oscillator. Use the notion of Allan Variance.
Describe what is meant by an "ambiguous" range. Can you
give analogies from standard surveying?
Derive the Least Squares equations for solving the 3-D positioning
problem with receiver-biased range data. Specify the basic observation
equation and the design matrix for an incremental solution.
Back to Chapter 1 Contents© Chris Rizos, SNAP-UNSW, 1999