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Astronomy Principles and Practice Fourth Edition.pdf

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416 Practical projects<br />

Summer Time was in operation, where<br />

British Summer Time (BST) = Universal Time (UT) + 1 hour.<br />

(iv) Procedure. Data concerning the Sun’s position are tabulated in The Astronomical Almanac<br />

(AA)—(see pages C4–C19 therein)—<strong>and</strong> are referred to TDT with<br />

UT = TDT − T.<br />

To a good approximation for the summer of 2000, T = 66 s. Values of the numerical correction<br />

for other years can also be found in the AA—pages K8–K9.<br />

The daily solar data (C4–C19) refer to the solar crossing of the meridian as the ‘ephemeris<br />

transit’, this corresponding to the TDT at which the Sun crosses an ephemeris meridian at longitude<br />

1·002 738 × T east of the Greenwich meridian. Its occurrence is, thus, T earlier on the TDT time<br />

scale than the transit of the Greenwich meridian. To all intents <strong>and</strong> purposes, to the accuracy that can be<br />

achieved with this experiment, the time of the Greenwich transit in UT can be taken as the ephemeris<br />

transit in TDT.<br />

An approximate position of Glasgow University Observatory to be used as the dead reckoning<br />

position (DRP) can be taken as<br />

Longitude (λ D ) = 4 ◦ 22 ′ W<br />

Latitude (φ D ) = 55 ◦ 53 ′ N.<br />

Two sets of observations are required—A <strong>and</strong> B(i) or B(ii).<br />

One set, A, is to be taken at the local meridian transit, when the Sun’s altitude is changing<br />

slowly with time. Determination of the Sun’s maximum altitude at the transit allows a position line<br />

to be determined. (The time at which the transit occurs cannot be measured accurately <strong>and</strong> only an<br />

approximate position of the observatory could be obtained if this information were to be used.) The<br />

advantage of a meridian set of observations is that the reduction of the observations is particularly<br />

simple.<br />

Observations should be made at approximately three minute intervals, <strong>and</strong> cover a period from at<br />

least twenty minutes before to at least twenty minutes after meridian transit.<br />

The second set, B, is to be taken over a period when the Sun’s altitude is changing quite quickly<br />

with time. Using the curve which depicts this variation, a second position line can be obtained. Make<br />

a set of observations EITHER according to the scheme B(i) OR to scheme B(ii).<br />

For B(i), obtain a series of measurements of the altitude of the Sun’s centre during a period in<br />

the morning. Observations should be made at least 2 hr before meridian transit, at approximately two<br />

minute intervals, for a run of at least 10 minutes.<br />

For B(ii), obtain a series of measurements of the altitude of the Sun’s centre during a period in<br />

the afternoon. Observations should be made at least 2 hr after meridian transit, at approximately two<br />

minute intervals, for a run of at least 10 minutes.<br />

IMPORTANT REMINDER<br />

NEVER OBSERVE THE SUN WITHOUT THE SHADES<br />

COVERING BOTH MIRRORS.<br />

(a) A sextant, an artificial horizon <strong>and</strong> a chronometer are required. The artificial horizon, a trough<br />

of water, is required for sextant observations made on l<strong>and</strong>. (In some old books, a trough of mercury<br />

is recommended for the artificial horizon. This is no longer accepted practice because of mercury’s<br />

toxicity.) At sea a horizon is available. Any chronometer error must be checked before <strong>and</strong> after the<br />

series of observations.

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