Thanks for the great response, Gary. Long-winded perhaps, but excellent. I had not appreciated the important role of the alignment stars. Of course there must be a starting point for the TPAS function (which I presume is composed of one or more Fourier series -- or related -- expansions of expressions for the relevant telescope mechanics?).
Nevertheless, your response also begs a couple more questions:
1. It seems that one should NEVER re-align the scope in the midst of a pointing test. That is, don't perform a new ALIGN or ALIGN STAR operation, as this would change the "starting point" for the TPAS function, and thus would result in error data that are inconsistent with the data collected prior to the new (and ill-advised) alignment. Similarly, no new FIX ALT REF operation. Correct?
2. If I want to compare new results (the computed error values) with results from a previous pointing test -- to see if results are more-or-less consistent -- then it would be best to begin with the same initial alignment stars, yes? Doing so might also give me a new computed IE that might not be too far from what I saw in the previous test? All else equal, of course, like scope setup, collimation, etc.
I must have done a decent job building and setting up my scope, because my computed errors rarely differ from zero by more than one standard error. Even so, the TPAS results always give me a substantial improvement in RMS and thus better pointing performance. If the objective is prediction (in this case predicting where a star will be found), it's no statistical sin to keep nonsignificant terms in the model, as long as those terms really do help improve the performance.
Thanks again! -- Bob Clemen
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