7t (105deg.) E.; but, as might be expected in this high latitude,
the aberrations are very considerable. We may, however, assume with
great certainty that this station lies between lat. 89deg. 52' and 89deg.
56' S., and between long. 90deg. and 120deg. E.

The variation of the compass at the first Polar station was determined
by a series of bearings of the sun. This gives us the absolute
direction of the last day's line of route. The length of this line
was measured as five and a half geographical miles. With the help of
this we are able to construct for Polheim a field of the same form
and extent as that within which the first Polar station must lie.

At Polheim, during a period of twenty-four hours (December 16 --
17), observations were taken every hour with one of the sextants. The
observations show an upper culmination altitude of 28deg. 19.2', and a
resulting lower culmination altitude of 23deg. 174'. These combining the
above two altitudes, an equal error on the same side in each will
have no influence on the result. The combination gives a latitude
of 89deg. 58.6'. That this result must be nearly correct is confirmed
by the considerable displacement of the periods of culmination
which is indicated by the series of observations, and which in the
immediate neighbourhood of the Pole is caused by the change in the
sun's declination. On the day of the observations this displacement
amounted to thirty minutes in 89deg. 57', forty-six minutes in 89deg. 58',
and over an hour and a half in 89deg. 59'. The upper culmination occurred
so much too late, and the lower culmination so much too early. The
interval between these two periods was thus diminished by double the
amount of the displacements given. Now the series of observations
shows that the interval between the upper and the lower culmination
amounted at the most to eleven hours; the displacement of the periods