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The sum of these, giving ($777)2, involves reduction using (3.40) for £0 and £*, leading to

Upr 1

The final surface contribution is (Siy)2, which is given directly by (3.51) from (3.24) as

the last form being derived from Eq. (2.84) and giving the curvature contribution in terms of P, the separation of the primary and secondary images (Figs. 2.11 and 2.12), a parameter frequently pre-defined in a telescope system.

It remains to determine the total aberrations of the 2-mirror telescope by adding the contributions of the first and second surfaces.

From (3.32) and (3.43), the spherical aberration S7 is given by

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