 CHAPTER XIV. THE RIDDLE OF THE ASTROIDS Between the orbits of Mars and Jupiter revolves the most remarkable system of little bodies with which we are acquainted, the asteroids or minor planets. Some 600 are now known and they may actually number thousands. They form virtually a ring about the Sun. The most striking general fact about them is that they occupy the place in the sky, which should be occupied according to Baud's law, by a single large planet. This fact, as we shall see, has led to the invention of one of the most extraordinary theories in astronomy, namely that of the explosion of a world. Baud's law, so-called, is only an empirical formula, but until the discovery of Neptune it accorded so well with the distances of the planets that astronomers were disposed to look upon it as really representing some underlying principle of planetary distribution. They were puzzled by the absence of a planet in the space between Mars and Jupiter, where the law demanded that there should be one, and an association of astronomers was formed to search for it. There was a decided sensation when, in 1801, Piazzi of Palermo announced that he had found a little planet which apparently occupied the place in the system which belonged to the missing body. He named it Ceres, and it was the first of the asteroids. The next year, Ulbers of Bremen, while looking for Ceres with his telescope, stumbled upon another small planet which he named Pallas. Immediately he was inspired with the idea that these two planets were fragments of a larger one which had formerly occupied the vacant space in the planetary ranks, and he predicted that others would be found by searching in the neighborhood of the intersection of the orbits of the two already discovered. This bold prediction was brilliantly fulfilled by the finding of two more, Juno in 1804 and Vesta in 1807. Ulbers would seem to have been led to the invention of his hypothesis of a planetary explosion by the faith which astronomers at that time had in Bode's law. They appeared to have thought that several planets revolving in the gap where the law called for but one could only be accounted for upon the theory that the original one had been broken up to form the several. Gravitation demanded that the remnants of a planet blown to pieces, no matter how their orbits might otherwise differ, should all return at stated periods to the point where the explosion had occurred. Hence Ulbers' prediction that any asteroids that might subsequently be discovered would be found to have a common point of orbital intersection. And curiously enough, all of the first asteroids found practically answered to this requirement. Ulbers' theory seemed to be established. After the first four, no more asteroids were found until 1845, when one was discovered. Then in 1847 three more were added to the list, and after that searches began to pick them up with such rapidity that by the close of the century hundreds were known, and it had become impossible to keep track of them. The first four are by far the largest members of the group, but their actual sizes remained unknown until less than twenty years ago. It was long supposed that Vesta was the largest, because it shines more brightly than any of the others. But finally in 1895 Barnard, with the Lick telescope, definitely measured their diameters and proved to everybody's surprise that Ceres is really the chief, and Vesta only the third in rank. His measures are as follows. Ceres 477 miles, Pallas 304 miles, Vesta 239 miles, and Juno 120 miles. They differ greatly in the reflective power of their surfaces, a fact of much significance in connection with the question of their origin. Vesta is surface-for-surface, rather more than three times as brilliant as Ceres, whence the original mistake about its magnitude. Nowadays new asteroids are found frequently by photography, but physically they are most insignificant bodies. Their average diameter probably not exceeding twenty miles, and some are believed not to exceed ten. On a planet only ten miles in diameter, assuming the same mean density as the Earth's, which is undoubtedly too much, the force of gravity would be so slight that an average man would not weigh more than three ounces, and could jump off into space whenever he liked. Although the asteroids all revolve around the Sun in the same direction as that pursued by the major planets, their orbits are inclined at a great variety of angles to the general plane of the planetary system, and some of them are very eccentric, almost as much so as the orbits of many of their periodic comets. It has even been conjectured that the two tiny moons of Mars and the four smaller satellites of Jupiter may be asteroids gone astray and captured by those planets. Two of the asteroids are exceedingly remarkable for the shapes and positions of their orbits. These are Eros, discovered in 1898, and T.G., 1906, found eight years later. The latter has a mean distance from the Sun slightly greater than that of Jupiter, while the mean distance of Eros is less than that of Mars. The orbit of Eros is so eccentric that at times it approaches within 15 million miles of the Earth, nearer than any other regular member of the solar system except the Moon, thus affording an unrivaled means of measuring the solar parallax. But for our present purpose the chief interest of Eros lies in its extraordinary changes of light. These changes, although irregular, have been observed and photographed many times, and there seems to be no doubt of their reality. Their significance consists in their possible connection with the form of the little planet whose diameter is generally estimated at not more than twenty miles. Von Alpoltzer found in 1901 that Eros lost three-fourths of his brilliancy once in every two hours and thirty-eight minutes. Other observers have found slightly different periods of variability, but none as long as three hours. The most interesting interpretation that has been offered of this phenomenon is that it is due to a great irregularity of figure, recalling at once Ulber's hypothesis. According to some, Eros may be doubled, the two bodies composing it revolving around each other at very close quarters. But a more striking, and it may be said probable, suggestion, is that Eros has a form not unlike that of a dumbbell or hourglass, turning rapidly end over end, so that the area of illuminated surface presented to our eyes continually changes, reaching at certain times a minimum when the amount of light that it reflects toward the Earth is reduced to a quarter of its maximum value. Various other bizarre shapes have been ascribed to Eros, such for instance as that of a flat stone revolving about one of its longer axes, so that sometimes we see its face and sometimes its edge. All of these explanations proceed upon the assumption that Eros cannot have a simple globular figure like that of a typical planet, a figure that is prescribed by the law of gravitation, but that its shape is what may be called accidental. In a word, it is a fragment, for it seems impossible to believe that a body formed an interplanetary space, either through nebular condensation or through the aggregation of particles drawn together by their mutual attractions, should not be practically spherical in shape. Nor is Eros the only asteroid that gives evidence of variations of brilliancy that there is something abnormal in its constitution. Several others present the same phenomenon in varying degrees. Even Vesta was regarded by Ulbers as sufficiently variable in its light to warrant the conclusion that it was an angular mass instead of a globe. Some of the smaller ones show very notable variations, and all in short periods of three or four hours, suggesting that in turning about one of their axes they present a surface of variable extent toward the sun and the earth. The theory which some have preferred, that the variability of light is due to the differences of reflective power on different parts of the surface, would, if accepted, be hardly less suggestive of the origin of these little bodies by the breaking up of a larger one, because the most natural explanation of such differences would seem to be that they arose from variations in the roughness or smoothness of the reflecting surface, which would be characteristic of fragmentary bodies. In the case of a large planet, alternating expanses of land and water, or of vegetation and desert, would produce a notable variation in the amount of reflection, but on bodies of the size of the asteroids, neither water nor vegetation could exist, and an atmosphere would be equally impossible. One of the strongest objections to Ulber's hypothesis is that only a few of the first asteroids discovered travel in orbits which measurably satisfy the requirement, that they should all intersect at the point where the explosion occurred. To this it was at first replied that the perturbations of the asteroid orbits, by the attractions of the major planets, would soon displace them in such a manner that they would cease to intersect. One of the first investigations undertaken by the late Professor Simon Newcomb was directed to the solution of this question, and he arrived at the conclusion that the planetary perturbations could not explain the actual situation of the asteroid orbits. But afterward it was pointed out that the difficulty could be avoided by supposing that not one but a series of explosions had produced the asteroids as they now are. After the primary disruption the fragments themselves, according to the suggestion, may have exploded, and then the resulting orbits would be as tangled as the heart could wish. This has so far rehabilitated the explosion theory that it has never been entirely abandoned, and the evidence which we have just cited of the probably abnormal shapes of Eros and other asteroids has lately given it renewed life. It is a subject that needs a thorough rediscussion. We must not fail to mention, however, that there is a rival hypothesis which commends itself to many astronomers, namely that the asteroids were formed out of a relatively scant ring of matter situated between Mars and Jupiter, and resembling in composition the immensely more massive rings from which, according to Laplace's hypothesis, the planets were born. It is held by the supporters of this theory that the attraction of the giant Jupiter was sufficient to prevent the small nebulous ring that gave birth to the asteroids from condensing like the others into a single planet. But if we accept the explosion theory with its corollary that minor explosions follow the principal one, we have still an unanswered question before us. What caused the explosions? The idea of a world blowing up is too titanic to be shocking. It rather amuses the imagination than seriously impresses it. In a word, it seems essentially chimerical. We can by no appeal to experience form a mental picture of such an occurrence. Even the moon did not blow up when it was wrecked by volcanoes. The explosive nebulae and new stars are far away in space and suggest no connection with such a catastrophe as the bursting of a planet into hundreds of pieces. We cannot conceive of a great globe thousands of miles in diameter resembling a pellet of gunpowder only awaiting the touch of a match to cause its sudden disruption. Somehow the thought of human agency uptrudes itself in connection with the word explosion, and we smile at the idea that giant powder or nitroglycerin could blow up a planet. Yet it would only need enough of them to do it. After all, we may deceive ourselves in thinking, as we are apt to do, that explosive energies lock themselves up in only small masses of matter. There are many causes producing explosions in nature. Every volcanic eruption manifests the activity of some of them. Think of the giant power of confined steam. If enough steam could be suddenly generated in the center of the earth by a downpour of all the waters of the oceans, what might not the consequences be for our globe? In a smaller globe, and it has never been estimated that the original asteroid was even as large as the moon, such a catastrophe would, perhaps, be more easily conceivable. But since we are compelled in this case to assume that there was a series of successive explosions, steam would hardly answer the purpose. It would be more reasonable to suppose that the cause of the explosion was some kind of chemical reaction, or something affecting the atoms composing the exploding body. Here Gustav Le Bonne comes to our aid, with a most startling suggestion, based on his theory of the dissipation of intra-atomic energy. It will be best to quote him at some length from his book on the Evolution of Forces. It does not seem at first sight, says Dr. Le Bonne, very comprehensible that worlds which appear more and more stable as they cool could become so unstable as to afterward dissociate entirely. To explain this phenomenon, we will inquire whether astronomical observations do not allow us to witness this dissociation. We know that the stability of a body in motion, such as a top or a bicycle, ceases to be possible when its velocity of rotation descends below a certain limit. Once this limit is reached, it loses its stability and falls to the ground. Professor J. J. Thompson even interprets radioactivity in this manner, and points out that when the speed of the elements composing the atoms descends below a certain limit, they become unstable and tend to lose their equilibria. There would result from this a commencement of disassociation, with diminution of their potential energy and a corresponding increase in their kinetic energy sufficient to launch into space the products of intra-atomic disintegration. It must not be forgotten that the atom being an enormous reservoir of energy is by this very fact comparable with explosive bodies. These last remain inert so long as their internal equilibria are undisturbed. So soon as some cause or other modifies these, they explode and smash everything around them after being themselves broken to pieces. Atoms therefore, which grow old in consequence of the diminution of a part of their intra-atomic energy, gradually lose their stability. A moment then arrives when this stability is so weak that the matter disappears by a sort of explosion, more or less rapid. The bodies of the radium group offer an image of this phenomenon, a rather faint image, however, because the atoms of this body have only reached a period of instability when the dissociation is rather slow. It probably precedes another and more rapid period of dissociation capable of producing their final explosion. Bodies such as radium, thorium, etc. represent no doubt a state of old age at which all bodies must some day arrive and which they already begin to manifest in our universe since all matter is slightly radioactive. It would suffice for the dissociation to be fairly general and fairly rapid for an explosion to occur in a world where it was manifested. These theoretical considerations find a solid support in the sudden appearances and disappearances of stars, the explosions of a world which produced them reveal to us, perhaps, how the universe is perished when they become old. As astronomical observations show the relative frequency of these rapid destructions, we may ask ourselves whether the end of a universe by a sudden explosion, after a long period of old age, does not represent its most general ending. Here perhaps it will be well to stop. Since entrancing as the subject may be, we know very little about it, and Dr. Le Bon's theory affords a limitless field for the reader's imagination.