THE LITTLE PLANETS, OR THE ASTEROIDS

The asteroids, or minor planets, are situated almost wholly in the vast

space between Mars and Jupiter. Their orbits are very irregular, both

as to shape and situation; but, so far as is known, only two of them

pass beyond the orbit of Jupiter, and only one has been discovered

which at any point in its journey around the sun comes nearer than the

orbit of Mars.

The minor planets are called by astronomers almost indifferently

asteroids or planetoids. “Asteroids” is probably the name by which they

are most popularly known. But because they are in fact simply little

bodies that revolve about the sun as the planets do, “planetoids” seems

to be more truly descriptive of them, and it is the word I have chosen

to use here.

It was early noted that, except in one instance, the planets seemed

to show in their distance from the sun something like a mathematical

progression. Struck by this appearance, an astronomer named Bode worked

it out into a formula, known ever since as Bode’s law, though the idea

seems to have originated with another astronomer. One almost always

sees it mentioned in any work dealing with this phase of planetary

history, and it is especially interesting because of the part it played

in the discovery of the planetoids. It was as follows: Beginning with

nothing for Mercury, add three for Venus, twice three, or six, for the

earth, twelve for Mars, and continue thus to double the number for each

planet out to and including Saturn. Then to each one of the numbers so

obtained add four, and the numbers resulting will very nearly represent

the relative distances of the planets from the sun. Thus:

0 3 6 12 24 48 96 192 384

4 4 4 4 4 4 4 4 4

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4 7 10 16 28 52 100 196 388

The exception was that at the fifth number, 28, there was no planet to

correspond, and Jupiter was nearly twice as far away from Mars as it

should have been to conform to the law, thus leaving room for another

planet to occupy the allotted position and fill out this very beautiful

progression.

About nine years after this law was set forth Uranus was discovered

circling out in space far beyond Saturn, and was found to conform to

the law in a most satisfactory manner, its distance being approximately

twice that of Saturn. With such close accord between the actual

distances and the prescribed distances of the planets from the sun, and

with the one exception leaving almost exactly the space allotted by

Bode’s law for another planet, astronomers naturally had a very strong

feeling that there must be another planet between Mars and Jupiter.

They accordingly set to work to prove this, if possible, and to find

what had become of this lost member of the planet family, if it ever

existed.

As a result of this work, on January 1, 1801, the first planetoid was

discovered, and in rapid succession many like it were found, until

now many hundreds are known to astronomers. Their discovery seemed at

first almost a certain confirmation of Bode’s law, and the fact that

where one large planet should have been found there proved to be such

a swarm of small ones could be accounted for in no other way than

to suppose that something had happened in the making of the planet.

At any rate, the promulgation of Bode’s law was the direct cause of

the search for the missing planet which led to the discovery of the

planetoids. And this is the only reason why Bode’s law has continued

to be mentioned in the history of the planets. For it was no real

law, it had no scientific foundation, and its conformity to the facts

of the relative distances of the planets was only one of those very

interesting and singular coincidences that startle one for the moment

into thinking that there is some scientific significance in them.

Another example of such a coincidence is in the fact that the mass of

any given planet exceeds the total mass of all the planets of any less

mass than itself.

In less than half a century after the discovery of the first planetoid,

Neptune was discovered at a distance not at all corresponding to that

indicated by Bode’s law. It was not nearly far enough away, and yet,

strangely enough, it was by taking Bode’s law into consideration that

the position was indicated which finally led to the discovery of the

planet. So while Bode’s law has been found to be no law at all, it

is, nevertheless, entitled to some mention because of its having thus

stimulated research that has had such important results.

No really satisfactory and final explanation of the present state of

the planetoids has ever been given. At one time it was suggested that

another planet had originally existed in the space between Mars and

Jupiter, and through some catastrophe had been shattered into the

small bodies that now occupy that space. But this has been shown to be

impossible.

It is now thought probable that in the original nebula the matter

forming the planetoids might have been prevented from condensing

into a planet by the powerful gravitative influence of Jupiter. This

influence, however, was not sufficiently strong to bring them entirely

under his control. Even yet he pulls some of them five or six degrees

out of the path they otherwise would take when they venture within the

limits of his domain; but he does not capture them, so they have been

left to circle around the sun as mere fragments of bodies, with no

force to combine and make a world, no mass to hold an atmosphere, and

with nothing to prevent them from quickly condensing and from radiating

all their heat into space. They are, in the main, just cold, dark,

lifeless rocks and lumps of matter whirling through space in a maze of

interlacing orbits, some of them almost as far from the sun as Jupiter

and some almost as near as Mars--one, indeed, a little nearer than

Mars at certain times--but most of them swarming more thickly about

half-way between Mars and Jupiter, not far from the place that Bode’s

law assigned to a planet.

After the first planetoid was discovered and had been observed for

a few weeks, it was lost and had to be rediscovered by means of

mathematical computation of its orbit. Where this computation showed

that it ought to be, there it was found, on the very last day of the

same year, 1801. Early the next year another body of the same sort was

discovered, two years later another was found, and still three years

later a fourth came into view. These four were the only ones known in

this branch of the solar family for nearly forty years thereafter.

In 1845 another period of discovery commenced, and has ever since

continued, until there are now between six and seven hundred of these

little bodies that have disclosed their right to be known as members

of the sun’s family. It is probable that there may be still many

more of them, since a new one comes to light every now and then on a

photographic plate, and there is no indication of any limit to the

number that may thus appear.

It is likely that about all have been discovered that can be seen even

with a telescope, for a fairly systematic and thorough search has been

made of the heavens for this purpose during the last half-century. This

work has resulted in a continually decreasing number of discoveries,

until this method of search has finally been practically abandoned. But

it not infrequently happens that in photographing the stars a little

trail of light is discovered on the plate, showing that some heavenly

body with sensible motion has been caught on it. And this usually

proves to be a new planetoid. No matter how long a photographic plate

is exposed, the fixed stars imprint themselves on it only as points of

light. When the impression is a little streak of light instead of a

dot, the object is shown to be in motion, and is either a planetoid, a

satellite, or a comet. The fixed stars would make a trail also if the

photographic apparatus were not regulated by clockwork, so as to follow

the star in its apparent daily motion across the skies. The planets

and other bodies in the solar system are sufficiently near to have a

sensible motion in addition to the motion caused by the rotation of the

earth, which is the only motion we have to take into account in dealing

with the aspects of the stars.

The first planetoid discovered was called Ceres, the next one Pallas,

the third Juno, and the fourth Vesta. This pretty custom of naming them

after the gods and goddesses of mythology was continued, with some

variations, until perhaps three hundred had been so christened. But the

number of them became too prodigious; and when so many began to swarm

into view, waiting to be named, the utilitarian method of designating

them simply by numbers in the order of their discovery was adopted. The

only distinguishing feature of so numbering them is that each number

is placed in a little circle. Thus Ceres is ①, Pallas ②, and so

on. Those of them that have any special claim to distinction, however,

are still referred to by their own names, if they have any, in spite of

this most orderly attempt to make them fit for easy reference in a list.

There are so many of the planetoids, and they are so minute, that

even after they have been discovered they are frequently lost again.

Hence it is sometimes uncertain when they register themselves on the

photographic plates whether they are really new to us or have been

known before. In such cases they are named temporarily after the

letters of the alphabet, and, when the alphabet is exhausted, a second

letter is added. Thus A to Z, then AB to AZ, BC to BZ, and so on in a

sort of “round.” Sometimes these combinations of letters become the

fixed designation of a planetoid, as a nickname sometimes clings to a

person. And thus it happens that we sometimes read of one in particular

of these little bodies that is conspicuous for the great eccentricity

of its orbit, called “WD.” The letters are not its initials, but its

nickname. It really has no name other than its number in the list; but

it became famous while it was temporarily designated as “WD,” and thus

it continues to be called.

The aid of a telescope is necessary in order to see the planetoids,

though it is said that Vesta, under very favorable conditions,

sometimes comes within the limit of visibility. She is the brightest of

them all, though not the largest, and her brilliancy is the subject of

much interesting speculation among astronomers, who have not yet been

able to account for it. She seems from her excessive brightness to be

covered with clouds; and yet it is manifestly impossible that so small

a body could have held an atmosphere throughout these long ages, though

clouds presuppose an atmosphere. No doubt, in time this mystery of

Vesta’s brilliancy will be made plain. Bright as she is in proportion

to her size, and even if she sometimes can be seen, one cannot

reasonably expect anything very brilliant to our view from a body not

much more than a hundred miles in diameter, shining by reflected light,

nearly two hundred million miles away.

Ceres, as far as we yet know, is the largest of the planetoids, and

may be something more than four hundred miles in diameter. Juno is

somewhere near the same size. Pallas is about two hundred miles in

diameter, and Vesta about one hundred and eighteen. No doubt, these

four were the first to be discovered, because they are the largest

and so the easiest to be seen. At any rate, no others yet seen exceed

them in size, and some of the more lately discovered are not more

than fifteen or twenty miles in diameter. Many of those discovered by

photography are doubtless even smaller than these, and are, perhaps,

mere meteors in size. The combined mass of all those discovered up

to this time is far smaller than that of any of the large planets,

or even than that of our moon. Their mass cannot, of course, really

be measured, because they are too small to have any perceptible

gravitative effect on other bodies, and mass can only be determined

by the influence of one body on another. But we do know that their

aggregate mass, if it exceeded a certain limit, would show some

disturbing effect on Mars; and, since it does not do this, we know that

all of them taken together would make an extremely insignificant body.

While the planetoids all revolve around the sun in the same manner and

in the same direction as the planets do, yet they are very erratic

in their courses, and do not all keep within the narrow limits of

the zodiac through which--happily for our convenient observation--the

larger bodies travel. The orbits of many of them are extremely

elliptical, while some are almost circles; and their inclination to the

ecliptic varies from almost nothing to nearly fifty degrees. If one

could catch from one side a view of them all together, they would have

much the appearance in space of a flock of swallows, the individuals

darting this way and that, passing above and below one another in such

intricate sweeps and sinuosities that it would be impossible to keep

track of them separately. And yet time has brought these apparently

tangled orbits into such nice adjustment that the little bodies can

continue to cross and recross each other’s paths with no danger of

interference from each other. Such collisions as there may have

been occurred in the very beginning of their careers. Such of them

as came into collision then traveled on together as one body until

accommodation was made for all.

One of the most wide-wandering of these tiny bodies has been named

Eros, after the little god of love, more commonly known as Cupid.

It has a particular interest for us, because of all the heavenly

bodies it at times comes nearer to us than any except the moon and an

occasional comet. At its nearest it is within fourteen million miles of

the earth, which is more than ten million miles nearer than the closest

approach of Venus, the nearest of the large planets.

This little body was thus near us in 1894; but we did not then know

this, for Eros was not discovered until 1898. After its discovery,

however, it was traced back on many photographic plates, and the fact

that it had been in our neighborhood was learned. For untold ages it

has been making these visits to us every thirty-seven years, and we

have known nothing of them. Its next near approach will be in 1931, and

it will continue to come thereafter every thirty-seven years. Now that

we know about them, these visits are not only pleasant to contemplate,

but it is expected that when they occur the planetoid will be of

great scientific value to us in helping to determine more surely and

accurately the exact distance of the sun.

The planetoids, though so minute and of no value as a spectacle, have

been, and still are, very useful little bodies to us in a scientific

way. In addition to furnishing an easy means of measuring the distance

of the sun, they promise to throw some light on various questions of

physics in which the planets, too, are involved. The brilliancy of

Vesta, for instance, which has been mentioned, and the unaccountable

variability in the brightness of some others of them have yet to be

adjusted to known physical laws. Even the extreme eccentricity of some

of their orbits, and the large tilt of some of them to the ecliptic,

may be suggestive in finally solving certain planetary problems, for

these impish little bodies are far from conforming to the regular ways

of the planets, and there is, of course, some mechanical reason for

their apparent waywardness.

The Ways of the Planets · 第 95 / 101 题