Letters on Astronomy: in which the Elements of the Science are Familiarly Explained in Connection with Biographical Sketches of the Most Eminent AstronomersOlmsted, Denison
Science
Letters on Astronomy: in which the Elements of the Science are Familiarly Explained in Connection with Biographical Sketches of the Most Eminent Astronomers
Olmsted, Denison
Astronomy
point is also called the _solstice_, from a Latin word, signifying to
_stand still_; since, when the sun has reached its greatest northern or
southern limit, while its declination is at the point where it ceases to
increase, but begins to decrease, there the sun seems for a short time
stationary, with regard to the equator, appearing for several days to
describe the same parallel of latitude.
When the sun is at the northern tropic, which happens about the
twenty-first of June, his elevation above the southern horizon at noon
is the greatest in the year; and when he is at the southern tropic,
about the twenty-first of December, his elevation at noon is the least
in the year. The difference between these two meridian altitudes will
give the whole distance from one tropic to the other, and consequently,
twice the distance from each tropic to the equator. By this means, we
find how far the tropic is from the equator, and that gives us the angle
which the equator and ecliptic make with each other; for the greatest
distance between any two great circles on the sphere is always equal to
the angle which they make with each other. Thus, the ancient astronomers
were able to determine the obliquity of the ecliptic with a great degree
of accuracy. It was easy to find the situation of the zenith, because
the direction of a plumb-line shows us where that is; and it was easy to
find the distances from the zenith where the sun was at the greatest and
least distances; respectively. The difference of these two arcs is the
angular distance from one tropic to the other; and half this arc is the
distance of either tropic from the equator, and of course, equal to the
obliquity of the ecliptic. All this will be very easily understood from
the annexed diagram, Fig. 26. Let Z be the zenith of a spectator
situated at C; Z _n_ the least, and Z _s_ the greatest distance of the
sun from the zenith. From Z _s_ subtract Z _n_, and then _s n_, the
difference, divided by two, will give the obliquity of the ecliptic.
[Illustration Fig. 26.]
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