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of actual measurements; and should greater accuracy be conferred on them by future determinations, it will not deprive them of their astonishing character. And this expenditure has been going on for ages, without our being able, in historic times, to detect the loss. When the tolling of a bell is heard at a distance, the sound of each stroke soon sinks, the sonorous vibrations are quickly wasted, and renewed strokes are necessary to maintain the sound. Like the bell,

“Die Sonne tönt nach alter weise.

“But how is its tone sustained? How is the perennial loss made good? We are apt to overlook the wonderful in the common. Possibly to many of us—and to some of the most enlightened among us—the sun appears as a fire differing from our terrestrial fires only in the magnitude and the intensity of its combustion. But what is the burning matter which can thus maintain itself? All that we know of cosmical phenomena declares our brotherhood with the sun—affirms that the same constituents enter into the composition of his mass as those already known to chemistry. But no earthly substance with which we are acquainted—no substance which the fall of meteors has landed on the earth—would be at all competent to maintain the sun’s combustion. The chemical energy of such substances would be too weak, and their dissipation would be too speedy. Were the sun a solid block of coal, and were it allowed a sufficient supply of oxygen to enable it to burn at the rate necessary to produce the observed emissions, it would be utterly consumed in 5,000 years. On the other hand, to imagine it a body originally endowed with a store of heat—a hot globe now cooling—necessitates the ascription to it of qualities wholly different from those possessed by terrestrial matter. If we knew the specific heat of the sun, we could calculate its rate of cooling. Assuming this to be the same as that of water—the terrestrial substance which possesses the highest specific heat—at its present rate of emission, the entire mass of the sun would cool down 15,000° Faht. in 5,000 years. In short, if the sun be formed of matter like our own, some means must exist of restoring to him his wasted power. The facts are so extraordinary, that the soberest hypothesis regarding them must appear wild. The sun we know rotates upon his axis; he turns like a wheel once in 25 days: can it be the friction of the periphery of this wheel against something in surrounding space which produces the light and heat? Such a notion has been entertained. But what forms the brake, and by what agency is it held, while it rubs against the sun? The action is inconceivable; but, granting the existence of the brake, we can calculate the total amount of heat which the sun could generate by such friction. We know his mass, we know his time of rotation; we know the mechanical equivalent of heat; and from these data we deduce, with certainty, that the entire force of rotation, if converted into heat, would cover more than one, but less than two, centuries of emission. There is no hypothesis involved in this calculation.

“There is another theory, which, however bold it may at first sight appear, deserves our earnest attention. I have already referred to it as the meteoric theory of the sun’s heat. Solar space is peopled with ponderable objects. Kepler’s celebrated statement that ‘there are more comets in the heavens than fish in the ocean’ refers to the fact that a small portion only of the total number of comets belong to our system, and are seen from the earth. But besides comets, and planets, and moons, a numerous class of bodies belong to our system—asteroids, which from their smallness might be regarded as cosmical atoms. Like the planets and the comets these smaller bodies obey the law of gravity, and revolve in elliptic orbits around the sun; and it is they, when they come within the earth’s atmosphere, that, fired by friction, appear to us as meteors and falling stars. On a bright night twenty minutes rarely pass at any part of the earth’s surface without the appearance of at least one meteor. At certain times (the 12th of August and the 14th of November), they appear in enormous numbers. During nine hours of observation in Boston, when they were described as falling as thick as snowflakes, 240,000 meteors were calculated to have been observed. The number falling in a year might perhaps be estimated at hundreds or thousands of millions, and even these would constitute but a small portion of the total crowd of asteroids that circulate round the sun. From the phenomena of light and heat, and by the direct observation of Encke, on his comet, we learn that the universe is filled with a resisting medium, through the friction of which all the masses of our system are drawn gradually toward the sun. And though the larger planets show, in historic times, no diminution of their periods of revolution, this may not hold good for the smaller bodies. In the time required for the mean distance of the earth from the sun to alter a single yard, a small asteroid may have approached thousands of miles nearer to our luminary.

“Following up these reflections we should infer that while this immeasurable stream of ponderable matter rolls unceasingly towards the sun, it must augment in density as it approaches the center of convergence. And here the conjecture naturally rises that that weak nebulous light, of vast dimensions, which embraces the sun—the Zodiacal light—may owe its existence to these crowded meteors. However this may be, it is at least proved that the luminous phenomenon arises from matter which circulates in obedience to planetary laws; the entire mass constituting the Zodiacal light must be constantly approaching, and incessantly raining its substance down upon, the sun.

“We observe the fall of an apple and investigate the law which rules its motion. In the place of the earth we set the sun, and in place of the apple we set the earth, and thus possess ourselves of the key to the mechanics of the heavens. We now know the connection between hight of fall, velocity, and heat at the surface of the earth. In the place of the earth let us set the sun, with 300,000 times the earth’s mass, and instead of a fall of a few feet, let us take cosmical elevations; we thus obtain a means of generating heat which transcends all terrestrial power.

“It is easy to calculate both the maximum and the minimum velocity imparted by the sun’s attraction to asteroids circulating round him; the maximum is generated when the body approaches the sun from an infinite distance as the entire pull of the sun being then expended upon it; the minimum is that velocity which would barely enable the body to revolve round the sun close to his surface. The final velocity of the former, just before striking the sun, would be 390 miles a second, that of the latter 276 miles a second. The asteroid on striking the sun with the former velocity, would develop more than 3,000 times the heat generated by the combustion of an equal asteroid of solid coal; while the shock, in the latter case, would generate heat equal to that of the combustion of upward of 4,000 such asteroids. It matters not whether the substances falling into the sun be combustible or not; their being combustible would not add sensibly to the tremendous heat produced by their mechanical collision.

“Here then we have an agency competent to restore his lost energy, and to maintain a temperature at his surface which transcends all terrestrial combustion. The very quality of the solar rays—their incomparable penetrating power—enables us to infer that the temperature of their origin must be enormous; but in the fall of asteroids we find the means of producing such a temperature. It may be contended that this showering down of matter must be accompanied by the growth of the sun in size; it is so; but the quantity necessary to produce the observed calorific emission, even if accumulated for 4,000 years, would defy the scrutiny of our best instruments. If the earth struck the sun it would utterly vanish from perception, but the heat developed by the shock would cover the expenditure of the sun for a century.

“To the earth itself apply considerations similar to those which we have applied to the sun. Newton’s theory of gravitation, which enables us, from the present form of the earth, to deduce its original state of aggregation, reveals to us, at the same time, a source of heat powerful enough to bring about the fluid state—powerful enough to fuse even worlds. It teaches us to regard the molten condition of a planet as resulting from mechanical union of cosmical masses, and thus reduces to the same homogeneous process the heat stored up in the body of the earth, and the heat emitted by the sun. Without doubt the whole surface of the sun displays an unbroken ocean of fiery fluid matter. On this ocean rests an atmosphere of flowing gas—a flame atmosphere, or photosphere. But gaseous substances, when compared with solid ones, emit, even when their temperature is very high, only a feeble and transparent light. Hence it is probable that the dazzling white light of the sun comes through the atmosphere from the more solid portions of the surface.… In conclusion, thus writes Professor Thomson: ‘The source of energy from which the solar heat is derived is undoubtedly meteoric.… The principal source—perhaps the sole appreciable efficient source—is in the bodies circulating round the sun at present inside the earth’s orbit seen in the sunlight by us called “Zodiacal light.” The store of energy for future sunlight is at present partly dynamical—that of the motions of these bodies round the sun; and partly potential—that of their gravitation towards the sun. This latter is gradually being spent, half against the resisting medium, and half in causing a continuous increase of the former. Each meteor thus goes on moving faster and faster, and getting nearer and nearer the center, until some time, very suddenly, it gets so much entangled in the solar atmosphere as to begin to lose its velocity. In a few seconds more it is at rest on the sun’s surface, and the energy given up is vibrated across the district where it was gathered during so many ages, ultimately to penetrate as light the remotest regions of space.…

“ ‘The heat of rotation of the sun and planets, taken all together, would cover the solar emission for 134 years; while the heat of gravitation (that produced by falling into the sun) would cover the emission for 45,589 years. There is nothing hypothetical in these results; they follow directly and necessarily from the application of the mechanical equivalent of heat to cosmical masses.’…

“But, continues Helmholtz, though the store of our planetary system is so immense as not to be sensibly diminished by the incessant emission which has gone on during the period of man’s history, and though the time which must elapse before a sensible change in the condition of our planetary system can occur is totally incapable of measurement, the inexorable laws of mechanics show that this store, which can only suffer loss, and not gain, must finally be exhausted. Shall we terrify ourselves by this thought? Men are in the habit of measuring the greatness of the universe, and the wisdom displayed in it, by the duration and the profit which it promises to their own race; but the past history of the earth shows the insignificance of the interval during which man has had his dwelling here. What the museums of Europe show us of the remains

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