The semimajor axis, o,; semiminor axis, o2; and the orientation. A, of the error ellipse in Fig. 11-9 can be expressed in terms of ax, ay and Cly by the following equations (see, for example, Keat and Shear [1973]):


By substituting Eqs. (11-20) through (11-22) into Eq. (11-28), the following are obtained:

expressions for o„ o2, and À in terms of U„, Un, dm, dn, and

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