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GPS Satellite Surveying, 4th Edition
book

GPS Satellite Surveying, 4th Edition

by Alfred Leick, Lev Rapoport, Dmitry Tatarnikov
March 2015
Beginner to intermediate
840 pages
25h 12m
English
Wiley
Content preview from GPS Satellite Surveying, 4th Edition

2.7.5 Properties of Standard Ellipses

The positional error c02-math-0787 of a station is directly related to the standard ellipse, as seen in Figure 2.7.5. The positional error is the standard deviation of a station in a certain direction, say c02-math-0788. It is identical with the standard deviation of the distance to a known (fixed) station along the same direction c02-math-0789, as computed from the linearized distance equation and variance-covariance propagation. The linear function is

2.7.84 equation

Because of equations (2.7.70) and (2.7.71), the distribution of the random variable c02-math-0791 is multivariate normal with

2.7.85 equation

The variance of the random variable c02-math-0793 follows from the law of variance-covariance propagation:

The variance ...

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