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Astronomy Principles and Practice Fourth Edition.pdf

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420 Practical projects<br />

Figure 24.13. The variation of the solar corrected altitude with time over the period of meridian transit.<br />

Example. From the curve obtained for March 29th 2000 (see figure 24.13),<br />

Transit time: 12 h 22 m 10 s<br />

Greenwich transit: 12 04 39·3<br />

Longitude of Observatory (λ) : 17 30·7 West<br />

Longitude of Observatory = 4 ◦ 23 ′ W<br />

The maximum corrected altitude was determined to be 37 ◦ 43·′41.<br />

Sun’s declination<br />

According to the AA for March 29th 2000, δ ⊙ at 00 h (TDT) is<br />

+3 ◦ 24 ′ 40·′′ 1 =+3 ◦ 24·′67.<br />

The daily increase in δ ⊙ =+23·′33. By making a linear interpolation,<br />

δ ⊙ at time of transit =+3 ◦ 37·′11<br />

φ = 90 ◦ − 37 ◦ 43·′41 + 3 ◦ 37·′11 = 55 ◦ 53·′7.<br />

µ Latitude of Observatory = 55 ◦ 53·′7<br />

This information can now be used to draw the first position line.<br />

Determination of a position line—observations B:<br />

R 1 = 360 ◦ 31 ′ 36 ′′<br />

R 2 = 359 ◦ 26 ′ 50 ′′<br />

µ R = +0 ′ 47 ′′<br />

For readings close to 60 ◦ , the scale error (r) =−20 ′′<br />

µ Total correction to the readings =+0 ′ 27 ′′

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