At 02:19 PM 9/16/96 METDST, you wrote:
>Dear sundial subscriber,
>
>Someone suggested earlier on this list that a sundial on the
>southpole would have some interesting features.
>
>This made me think of a question that I have had for a
>long time and up to now, I did not find anyone that had
>a sufficient answer:
>" How and with what accuracy did the first travellers 
>  to the North and South Pole
>  estimate the distance to the Pole, and
>  how did they know that they reached their goal? "
>As Pole travel is usually conducted in summer
>for obvious reasons, the only astronomical companion
>of the travellers is the sun.
>This explains why I come to this mailing list with this question.

The North Pole was reached on Sep 6, 1909 by American Robert E. Peary and
his companion. I do not know much details about this expedition.

The South Pole was reached by Norwegian expedition led by Roald Amundsen on
Dec 14, 1911. I read his book on the subject. For navigation they used
marine sextants and artificial horizons and geodetic instrument called
theodolite (I guess the name) and few marine chronometers for time keeping.
For everyday navigation they used compasses and measuring wheels attached to
sledges that "logged" the covered distance. Whenever weather was fair they
took few times a "day" Sun's altitudes to determine position and compass
error. Amundsen had rank of sea captain and few of his party were also
experienced sailors so navigation for them was not a problem. During polar
day Sun is a very convenient body for measurements, it sweeps all possible
azimuths within 24 h allowing to choose well lines of position you need.

The accuracy they could achieve was to about or below of 1/2 of Nautical
Mile (1852 m) if they performed a series of sights. The day Dec 14 (Amundsen
mentions Dec 15 in his book possibly because he kept as their standard time
the time of their base Framheim on Antarctic coast) they reached their first
approximation of the Pole. This day is assumed by as the day of "taking the
South Pole". Next "day" Amundsen sent three of his companions to make 20 km
walks in three directions just to be sure that the Pole was within the
triangle they made. He himself and another his companion stayed on the spot
and performed very careful series of sights which showed them that they were
off the Pole by about 10 km which was caused by "course" error during the
last walk. When all his companions came back they made those missing 10
kilometers on Dec 17 and assumed that they were on the Pole. They set the
tent and the flag on the spot found few weeks later (Jan 18, 1912) by heroic
and tragic Scott's expedition.

They determined the Pole with accuracy I think of few hundred meters.

The book: Roald Amundsen - "Die Eroberung des Sudpols" this is the Norwegian
original,
I read Polish translation "Zdobycie Bieguna Poludniowego" and I know that
German translation exists because the Polish one was done from German (very
few Polish speak Norwegian and vice versa). I do not know about English
versions.

>Is it possible to determine the height of the sun
>with an accuracy better than one arc-minute 
>(corresponding to a distance less than 2km),
>with an apparatus that can be carried and  used
>in a polar and mountaneous environment?
>Or was there another way of determining the location?
>
>I would be happy to know your idea about this question.
>

Classic marine sextants enable measurements of altitudes (and other angles)
with accuracy of few tenths of a minute of arc. Time keeping today is no
problem. So we may have accurate position using classic methods. Sattelite
systems like GPS give accuracy (for civil use) of about 200 m.

The problem with geographical poles is that they move, not so wildly as
magnetic poles, but they still move. This is because the Earth is not a
rigid body, so changes of moments of inertia caused by internal movement of
masses bring movement of axis of rotation relative to the Earth surface.
Today astronomers track those changes very accurately by constant
measurement of latitudes of few observatories laying approximately on
opposing meridians. The changes are not big, poles travel in an area of
about 20 m if I remeber well.

- Slawek Grzechnik

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