Astronomia Britannica exhibiting the doctrine of the sphere, and theory of the planets decimally by trigonometry, and by tables : fitted for the meridian of London ...
Newton, John, 1622-1678.
Page 159
CHAP. 28. Of the Calculation of the Suns Eclipse.
THis Eclipse is not properly, the Eclipse of the Sun, but of the earth in regard it is not the Sun, but the earth which looseth light the Sun being only apparently darke, the earth in truth, we will how ever use the name, that others have given it, and shew you the manner of the Calculation.
Find the meane conjnction, and from thence the true, which correct by the Reduction and Equation of time in all things as in the Moon.
Example of a Solar Eclipse, which happened March 28. 1652.
D | ||
Mean Conjunction March | 28 | 0. 82333 |
Suns place | 19. 36150 | |
Eccentrick place of the Moon | 20. 89832 | |
Distance of the Moon from the Sun | 1. 53682 | |
Meane Anomaly of the Sun | 280. 96132 | |
His hourly motion | . 04090 | |
Meane Anomaly of the Moon | 223. 17513 | |
Her hourly motion | . 60109 | |
Hourly motion of the Moon from the Sun | . 56019 | |
which dividing the distance | 1. 53682 | |
Gives in the quotient subt. | 2. 74336 | |
So the time first corrected | •7 | 22. 07997 |
True place of the Sun | 19. 24962 | |
The Eccentrick place of the Moon | 19. 29533 | |
The distance of the Sun from the Moon | . 04571 | |
which divided by the hourly motion of the Moon from the Sun | . 56137 | |
Gives in time subtract | . 08143 | |
So the time secondly corrected | 27 | 21. 99854 |
True place of the Sun | 19. 24631 | |
Eccentrick place of the Moon | 19. 24766 | |
Distance of the Sun from the Moone | . 00135 | |
which divided by the hourly motion of the Moon from the Sun▪ | . 56140 | |
Gives in time subtract | . 00240 | |
So the true time of Conjunction | 27 | 21. 99614 |
Page 160The true pl•ce of the Sun | 19. 24621 | |
Eccentrick place of the Moon | 19. 24625 | |
True motion of Latitude | 8. 80745 | |
The Reduction Subtract | 0. 03536 | |
The quotient | . 06298 | |
So the true Conjunction | . 27 | 22. 05912 |
Equation of time subtract | . 09970 | |
The apparent time of the ☌ | . 27 | 21. 95942 |