Rough Ways Made Smooth: A series of familiar essays on scientific subjectsProctor, Richard A. (Richard Anthony)
Science
Rough Ways Made Smooth: A series of familiar essays on scientific subjects
Proctor, Richard A. (Richard Anthony)
Science
assuredly not the case.
But in truth, if we consider the nature of the task undertaken by
astronomers in this case, we can only too readily understand that their
measurements should differ somewhat widely from each other. Let us
picture to ourselves for a moment the central sun, the earth, and the
earth's path, not as they really are, for the mind refuses altogether
to picture the dimensions even of the earth, which is but an atom
compared with the sun, whose own proportions, in turn, mighty though
they are, sink into utter insignificance compared with the enormous
scale of the orbit in which the earth travels around him. Let us reduce
the scale of the entire system to one 500-millionth part of its real
value: even then we have a tolerably large orbit to imagine. We must
picture to ourselves a fiery globe 3 yards in diameter to represent the
sun, and the earth as a one-inch ball circling round that globe at a
distance of about 325 yards, or about 350 paces. The diameter of the
earth's orbit would on this scale, therefore, be somewhat more than a
third of a mile. If we imagine the one-inch ball moving round the fiery
globe once in a year, while turning on its axis once in a day, we find
ourselves under a difficulty arising from the slowness of the resulting
motions. We should have found ourselves under a difficulty arising from
the rapidity of the actual motions if we had considered them instead.
The only resource is to reduce our time-scale, in the same way that we
have reduced our space-scale: but not in the same degree; for if we did
we should have the one-inch ball circling round its orbit, a third of
a mile in diameter, sixteen times in a second, and turning on its axis
five thousand times in a second. Say, instead, that for convenience we
suppose days reduced to seconds. Then we have to picture a one-inch
globe circling once in rather more than six minutes about a globe of
fire 3 yards in diameter, one-sixth of a mile from it, and turning
on its axis once in a second. We must further picture the one-inch
globe as inhabited by some 1,500 millions of creatures far too small
to be seen with the most powerful microscope--in fact, so small that
the tallest would be in height but about the seven-millionth of an
inch--and we must imagine that a few of these creatures undertake the
task of determining from their tiny home swiftly rotating as it rushes
in its orbit around a large globe of fire, 325 yards from them--the
number of yards really intervening between that globe and their home.
If we rightly picture these conditions, which fairly represent those
under which the astronomer has to determine the distance of the sun
from the earth, we shall perceive that the wonder rather is that any
idea of the sun's distance should be obtained at all, than that the
estimates obtained should differ from each other, and that the best of
them should err in measurable degree from the true distance.
Public-domain text, read in full here on John Shaqi.
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