I am simulating Doppler-based estimation of satellite orbits. Radar source, satellite, and receiver form a triangle. Orbital estimations show an error peak precisely at position of maximum phase (i.e. source-satellite-receiver colinear). Can someone explain the reason?
This is an important question. In addition to the very helpful observations by @ Peter Breuer , there is a bit more to add.
The role geometry in predicting errors in predicting satellite orbits can be seen in
Article Galileo Signal and Positioning Performance Analysis Based on...
See the attached image for a sampling of orbit errors for Galileo IOV satellites.
A good overview of geometry in various research projects is given in
https://www.researchgate.net/topic/Geometry
More to the point, for a thorough-going study of geometry directly related to the question for this thread, see
Article Angles-Only Navigation to a Noncooperative Satellite Using R...
Thank you all for your insight. In addition to the sources you mentioned, I found this paper to be very helpful:
- Swanson, E.R.: Geometric Dilution of Precision. Navigation. 25, 425–429 (1978)
In fact, the formula provided here matches my simulation results perfectly. (Also, the text is clear enough to satisfy my desire for an intuitive explanation ;-)
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