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Re: Moon Parallax, Math Trivia (was Re: venus)
From: Frank Reed CT
Date: 2004 Oct 24, 02:01 EDT
From: Frank Reed CT
Date: 2004 Oct 24, 02:01 EDT
Herbert P wrote:
"(I understand that you were arguing that the other formula has no closed
form inversion and can thus not be equivalent to the Arctan formula. But
the conclusion that you should have drawn is that the other formula is
an approximation. Which it is. But George said this already.)"
Yes, you're right. I went one sentence too far in that original posting. Anyway, the "math trivia" I was refering to does not seem to have generated any interest so I think the thread can be dropped. Thanks for your input. And thanks also to George for responding. I got busy fo a few days and didn't have to time to respond in a "timely" fashion.
Just for fun, here's another way to calculate the parallax-shifted altitude, h, from the true geocentric altitude, h0:
h = h0 - HP*cos(h0) - (1/2)*(HP^2)*sin(2*h0)
Frank R
[ ] Mystic, Connecticut
[X] Chicago, Illinois
"(I understand that you were arguing that the other formula has no closed
form inversion and can thus not be equivalent to the Arctan formula. But
the conclusion that you should have drawn is that the other formula is
an approximation. Which it is. But George said this already.)"
Yes, you're right. I went one sentence too far in that original posting. Anyway, the "math trivia" I was refering to does not seem to have generated any interest so I think the thread can be dropped. Thanks for your input. And thanks also to George for responding. I got busy fo a few days and didn't have to time to respond in a "timely" fashion.
Just for fun, here's another way to calculate the parallax-shifted altitude, h, from the true geocentric altitude, h0:
h = h0 - HP*cos(h0) - (1/2)*(HP^2)*sin(2*h0)
Frank R
[ ] Mystic, Connecticut
[X] Chicago, Illinois
