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Re: Mackay on Longitude
From: Dave Walden
Date: 2008 Apr 21, 19:39 -0700
From: Dave Walden
Date: 2008 Apr 21, 19:39 -0700
My daughter was able to see volume 2 in the rare book room at the University of Virginia where she copied out the following (looks quite interesting): Mackay Vol 2 Tables I To convert time longitude II To reduce longitude to time III Depression of the Horizon IV Dip of the Sea at different Distances from the Observer V Correction of the Sun in Altitude VI Mean Astronomical Refraction VII Parallax of the Sun in Altitude VIII Correction of the Mean of Refraction IX Correction of the Moon's apparent Altitude X To reduce the true altitude of the Sun to its apparent Altitude XI " Moon " XII " Fixed Star" XIII-XVI To reduce the Declination of the Sun to any given Meridian and to any given time under that Meridian XVII For selecting a proper Star from which the Moon's Distance ought to be observed, that as little as possible of the Moon's proper Motion may be lost XVIII To reduce the right Ascension of the Sun to any given Meridian and to any given time under that Meridian XIX To reduce the Declination, Right Ascension, Horizontal Parallax, and semidiameter of the Moon, to any given Meridian, and to any given Time under that Meridian XX To reduce the Time of the Moon's Passage over the Meridian of Greenwich to the Time of its Transit over any other Meridian XXI Error of Observation, arising from a deviation of one minute of the Plane of the central mirror of the circular instrument from the perpendicular XXII Error of the Obs. arising from an Error in the Line of Collimation XXIII For computing Part 1st of the equation of Equal Altitudes XXIV " 2nd of " XXV Altitude to be observed in order to ascertain the Apparent Time with the greatest Accuracy XXVI Correction of the observed Altitude for the Spheroidal Figure of the Earth XXVII For computing the Apparent Time from an observation of the Altitude of an Object XXVIII For computing the Apparent Time &c. XXIX " XXX To find the Augmentation of the Moons Semidiameter by the Altitude of the Nonagesimal, and the apparent Distance of the Moon therefrom XXXI Augmentation of the Moons Semidiameter XXXII Contraction of the Semidiameter XXXIII Reduction of the Moons Equatorial Horizontal Parallax XXXIV Correction of the Moon's Parallax in Latitude XXXV Greatest Effect of the " XXXVI Reduction of the Lat. of the place of Observation XXXV Greatest Effect of the " XXXVI Reduction of the Lat of the place of Observation XXXVII Equation of the 2nd Difference XXXVIII Correction of the Approx Time, answering to the Equation of the 2nd Diff XXXIX Equatorial Semidiameter of the Moon in Time XL Increase of the Moon's Semidiameter in Time XLI Natural Versed Sines, to every 10th Second of the Quadrant XLII Logarithmic Difference XLIII Correction of the Logarithmic Diff When the Moon's Distance from the Sun is observed XLIV " from a Star" XLV Logarithms of Numbers XLVI Log Sines to every 10th 2nd of the Quadrant XLVII " Tangents " XLVIII Half Elapsed Time XLIX Middle Time L Rising LI Proportional Logarithms LII The mean right Ascensions and Declinations of 183 principle fixed stars, adapted to the beginning of the year 1810 LIII Part I of the Precession in right Ascension for complete years LIV For computing Part 2 of the Precession in Right Ascension + to find the Precession in Declination in complete years LV Decimal Numbers for Multiplying the Annual Precession of a star in Right Ascension LVI Semi-annual Solar Equation of Northern Star in Right Asent + Decli LVII -LIX For computing the Nutation or Deviation of a star in right Ascension + Declination LX-LXII For computing the Aberration of a star in Right Ascen + Decli LXIII The mean Long + Lats of 122 fixed stars, chiefly zodiacal, adapted to the beginning of the year 1810 LXIV Precession of the Equinoctial points in Longitude, for complete years LXV Precession of the Equinoctial points in Long. for Months + Days LXVI Secular Variation of the fixed stars LXVII Equations for the Equinoxes in Longitude LXVIII To find the Aberration of a star in Long + Lat LXIX Aberration of the Planets in Long LXX For computing the right Ascension of a planet in time LXXI Difference between the Meridian Altitude of an object and its altitude one minute before or after the time of its transit LXXII For computing the final Effect of Parallax on the Distance between the Moon and the Sun or a fixed Star Appendix 1 Containing the Methods for calculating the Time of the Rising of the Sun, Moon and fixed Stars; the time of the beginning and End of Twilight Table A Approx time of Rising / Setting of Sun B Time answering to a change of Alt of one degree near the horizon Problem I To find the Apparent Time of Rising or Setting of the Sun II " of Passage of a Star III " of the Rising/Setting of a fixed star IV " of the Moon V To find the time of beginning + end of twilight and its duration VI To find time of Shortest Twilight + Duration VII Given the Lat of a place (between limits 48-32 and 66-32, to find when it ceases to be night Notes: Explains all the tables, has some equations and examples for a few of them. includes some plates as well. --~--~---------~--~----~------------~-------~--~----~ Navigation List archive: www.fer3.com/arc To post, email NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---