WHEN SHALL WE LOSE OUR POLE-STAR?

This may be to some of our readers a startling question; for most of

us have had that star pointed out to us many years; and perhaps those

who directed our eyes to it little thought that there would ever be any

other pole-star. It is well known that if the northern extremity of the

axis of our earth were lengthened until it met the imaginary sphere of

the heavens, it would come very near to our present pole-star, hence

called Polaris; and if, for any cause, the direction of that axis were

materially altered, that star would no longer be a true index of the

north. We now propose to show that such a change of the direction of

the earth’s axis is continually taking place; and that the terrestrial

axis when thus lengthened describes a cone, the apex of which is the

centre of the earth; and the circumference of the base of the cone

is a circle described amongst the stars. When the axis has described

one-half of its course, the angle between the two positions it occupies

at the beginning and at the middle of the rotation is about forty-seven

degrees. And thus the extremity of the axis will successively come near

to other stars than our present pole-star; and in about twelve thousand

years it will have as the Polaris the very conspicuous star Vega, or α

in the constellation Lyra.

We now proceed to explain the reason of this movement of the earth’s

axis. It is well known that the earth is not a perfect sphere, but is

flattened at the poles, being what astronomers call an oblate spheroid.

Now, the sun’s attraction upon such a spheroidal body is not quite the

same as it would be upon a perfect sphere. When the sun is at either

equinox—that is, just over the equator—the attraction exercised upon

our earth is the same as if that body were spherical; but when the sun

is at or near the upper tropic, its action upon the terrestrial matter

which bulges at the equator has a tendency to pull that matter towards

the ecliptic, and to make the axis of the earth approach to a vertical

to the ecliptic. The same influence is at work when the sun is near the

lower tropic. And if this influence were not counteracted, the effect

would be to cause the ecliptic and equator ultimately to coincide; and

our annual succession of seasons would be done away with. But as no

such catastrophe is threatening us, and the inclination of the ecliptic

to the equator remains about twenty-three and a half degrees, there

must be some force which neutralises the above tendency: this is the

rotation of the earth on its own axis. No one but a good mathematician

could _a priori_ tell the exact effect of these two forces combined.

But any one may see how rotation may effect the motion of a body acted

on by another force, by observing how a pegtop is kept upright by the

rotation, whilst it falls as the rotation ceases. The influence of this

rotation to keep a body from falling may be noticed by any one who

carefully observes a spinning coin when about to fall. While the coin

spins rapidly, its uppermost part appears as a point. As it falls, the

point becomes a small circle, increasing as the rotation slackens. But

if the coin be very closely watched, when beginning to fall, it will

be seen that the small circle is for a moment diminished, showing that

the coin had partially recovered its upright position. This recovery

is entirely due to the rotation. Similarly, a bicycle is kept from

falling by its horizontal motion; and a conical bullet, which has

gained a great rapidity of rotation from a rifled barrel, keeps the

direction of its axis without deflection to the right or left. And thus

we find that the present position of the earth’s axis with respect to

the ecliptic is not altered; but the two forces acting upon the earth

cause the axis to rotate, as above described, so that the north pole

describes a circle in the heavens. But as the period of this rotation

is very great, it was not easy to detect such a result, except after a

long period of observation. It was discovered thus. The point where the

ecliptic and equator cut is called the first point of the constellation

Aries, one of the well-known twelve signs of the zodiac. From this

point all celestial measurements are made eastwards. Each star of

importance has had its distance east of that point—called its right

ascension—recorded. In the course of time, the tables of these numbers

so recorded appeared to be erroneous; but the error was so regular, and

all in one direction, that it was conjectured that the point from which

these right ascensions were reckoned had itself shifted its place. And

so it proved; and if any one looks at a celestial globe, he will see

that Aries no longer occupies the position where the equinox is, but is

somewhat to the east, or right, because the point of intersection of

the ecliptic and equator has slipped back. But as the sun appears to

take a shorter time to come back to the equinox than to arrive at the

same stars, which were once close to that point of intersection, this

slow retrograde motion is termed the _precession_ of the equinoxes.

The distance on the equator caused by this retrograde motion would, if

not otherwise modified, be 50″·41 annually. But the attraction of the

planets on each other produces a very small motion of the equinox in

the other direction; and so the resulting precession is about 50″·1

annually. If we divide the three hundred and sixty degrees in every

circle by the above small quantity, we shall find that the period

of the revolution of the earth’s axis is twenty-five thousand eight

hundred and sixty-eight years.

Of course the moon has an influence on the extra mass at the earth’s

equator, as the sun has, similar in kind, but far less in quantity.

This influence would cause the earth’s axis to describe very small

cones of the same nature as the large cone above described; and the

period of every rotation would be about nineteen years. The effect of

this second or lunar influence is to cause the earth’s axis to dip

a little towards the equator, and then to resume its position; and

this nodding motion is termed _nutation_, from the Latin word _nuto_,

to nod. Thus the axis of the earth describes a cone not of uniform

surface, but as it were fluted, and completes its majestic round in

nearly twenty-six thousand years, pointing to a various succession of

stars which will in their turns be honored by future astronomers as the

pole-stars of their respective generations.—_Chambers’s Journal._

Eclectic Magazine of Foreign Literature, Science, and Art, June 1885 · 第 24 / 48 题