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Herbert-

In your October 21 posting you say:

>If you don't know how late it is at a particular
>longitude, one way or another, i.e. if you don't know the phase angle
between the
>Earth and the sky, no magic is going to help you finding RA, hence LHA, and
Dec
>of the Moon, both of which you need to compute its altitude. Local time at
>unknown longitude is insufficient.

If you have the local time you do in fact know how late it is at a particular
longitude. You may not know exactly how far east or west that meridian is
from Greenwich, but you know it's where you are.

Moreover, local apparent time provides what I think you mean by "the phase
angle between the Earth and the sky." It's the sun's hour angle, so if you
have the latitude you can calculate the sun's altitude without further ado.
DR longitude doesn't have to be close at all to give you an estimated GMT
good enough for taking the sun's declination from the Almanac.

Local time also tells you, well enough for most purposes, the local hour
angle of the stars, since that changes only about 2.'5 per hour in relation
to the sun, and declination is practically constant.

The moon is another matter. She changes position in the sky, relative to the
sun, about half a degree per hour. When you have to calculate her altitude
you'd like to have Greenwich time within twelve minutes or so. But that only
requires a DR correct to within three degrees.

Now suppose you have the correct GMT and calculate the moon's altitude the
modern way. That three degree error in longitude will give you a three degree
error in the local hour angle of the moon, roughly thirty times the error
you'd get with the old fashioned approach.

As you've pointed out, LAT deteriorates quickly, partly because of slippage
in the DR longitude. But, except in unfavorable weather, you corrected it in
the morning or afternoon, a few hours before or after taking a lunar.

Perhaps I shouldn't have used the word "flounder" in relation to "iteration."
It's unnecessarily judgmental, and the only reason for my bias is the thought
that someone turning to celestial navigation in a tight spot might not have a
computer or electronic calculator at his or her fingertips.

Bruce

   

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