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5. Calculating an altitude for an observation of lunar distance.

The moon's meridian zenith-distance was 19° 20' 16" on February 27, in latitude N. 3° 42' 0"; what was its altitude at 7 h. 1 min. 27 sec. of mean time on the same day; the sid. time of mean noon being 22 h. 24 min. 47 sec.; moon's hor. par. 54′ 57′′.

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Observed transits

Coll.

Level

6. Finding the longitude on land by lunar transit.

In latitude 51°23′36′′ 34 N., in February 1860, the following transits of the moon and ♪ Geminorum were observed in sidereal time.

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Az.

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Corrections for the Transit Instrument.

I. To determine by observation the equatorial intervals of a transit instrument on January 12, 1860, in latitude 51°23′36 N., and longitude 2 min. 10 sec. E.

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Hence, for reduction to mean wire from centre wire add o'or when vertical circle is west and star above pole.

2. To determine the equatorial collimation error of

the same instrument at the same place and date, also the level and azimuth errors.

The inequality of pivots, a permanent portion of the level error, n this instrument amounted to o"03; the remainder of the error will vary with every observation.

The equatorial collimation error (e) is constant for the same instrument.

The azimuthal deviation (d) is the mean result of observations, and is practically a constant quantity.

Observations on 8 Ursa Minoris. Star below pole.

Levels () Corr. levels (7) Transits corr. for level

Wires Obs. transits

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When the vertical circle E., and star above pole, it is -0*20.
When the vertical circle W., and star above pole, it is +0'20.
Next for azimuth error:

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3. Determining the corrections for the same instrument on February 10, 1860.

Observations on 8 Ursa Minoris. Star below pole.

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When the vertical circle is W., and star below pole, it is +

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deviations E. of N., star S. of zenith.

Taking the permanent means of the preceding corrections for the same instrument, without readjustment, they are

For inequality of pivots, o".03.

For equatorial collimation error, e= (0.20+006) = 0·13.

For azimuthal deviation, d= (0·07+0·15)=0'II.

In some other examples given, e is taken as =0'09 or 0·13.

4. The application of the foregoing corrections is shown in detail in the following example.

On February 10, 1860, it was required to find the clock error by a transit of the sun. The declination being 14°30'; the zenith distance

65°53'40" altitude; 24°6′20′′ vertical circle west.

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