The moon's actual distance from the earth was the first thing to be attended to. Now the mean or average interval between the centres of the two planets is 59.9643 of the earth's equatorial radii, or only about 237000 miles. I say the mean or average interval. But it must be borne in mind, that the form of the moon's orbit being an ellipse of eccentricity, amounting to no less than 0.05484 of the major semi-axis of the ellipse itself, and the earth's centre being situated in its focus, if I could, in any manner, contrive to meet the moon, as it were, in its perigee, the above-mentioned distance would be materially diminished. But to say nothing, at present, of this possibility, it was very certain, that at all events, from the 237000 miles I should have to deduct the radius of the earth, say 4000, and the radius of the moon, say 1080, in all 5080, leaving an actual interval to be traversed, under average circumstances, of 231920 miles. Now this, I reflected, was no very extraordinary distance. Travelling on land has been repeatedly accomplished at the rate of thirty miles per hour, and indeed a much greater speed may be anticipated. But even at this velocity, it would take me no more than 322 days to reach the surface of the moon. There were, however, many particulars inducing me to believe that my average rate of travelling might possibly very much exceed that of thirty miles per hour, and, as these considerations did not fail to make a deep impression upon my mind, I will mention them more fully hereafter.
The next point to be regarded, was a matter of far greater importance. From indications afforded by the barometer, we find that, in ascensions from the surface of the earth, we have, at the height of 1000 feet, left below us, about one-thirtieth of the entire mass of atmospheric air—that at 10600, we have ascended through nearly one third—and that at 18000, which is not far from the elevation of Cotopaxi, we have surmounted one half of the material, or, at all events, one half the ponderable body of air incumbent upon our globe. It is also calculated, that at an altitude not exceeding the hundredth part of the earth's diameter—that is, not exceeding eighty miles—the rarefaction would be so excessive, that animal life could, in no manner, be sustained, and moreover, that the most delicate means we possess of ascertaining the presence of the atmosphere, would be inadequate to assure us of its existence. But I did not fail to perceive that these latter calculations are founded altogether on our experimental knowledge of the properties of air, and the mechanical laws regulating its dilation and compression in what may be called, comparatively speaking, the immediate vicinity of the earth itself; and, at the same time, it is taken for granted, that animal life is, and must be, essentially incapable of modification at any given unattainable distance from the surface. Now all such reasoning, and from such data, must of course be simply analogical. The greatest height ever reached by man, was that of 25000 feet, attained in the aeronautic expedition of Messieurs Gay-Lussac and Biot. This is a moderate altitude, even when compared with the eighty miles in question; and I could not help thinking that the subject admitted room for doubt, and great latitude for speculation.
But, in point of fact, an ascension being made to any stated altitude, the ponderable quantity of air surmounted in any farther ascension, is by no means in proportion to the additional height ascended, (as may be plainly seen from what has been stated before) but in a ratio constantly decreasing. It is therefore evident that, ascend as high as we may, we cannot, literally speaking, arrive at a limit beyond which no atmosphere is to be found. It must exist, I argued, it may exist in a state of infinite rarefaction.
On the other hand, I was aware that arguments have not been wanting to prove the existence of a real and definite limit to the atmosphere, beyond which there is absolutely no air whatsoever. But a circumstance which has been left out of view by those who contend for such a limit, seemed to me, although no positive refutation of their creed, still a point worthy very serious investigation. On comparing the intervals between the successive arrivals of Encke's comet at its perihelion, after giving credit, in the most exact manner, for all the disturbances or perturbations due to the attractions of the planets, it appears that the periods are gradually diminishing—that is to say—the major axis of the comet's ellipse is growing shorter, in a slow but perfectly regular decrease. Now this is precisely what ought to be the case, if we suppose a resistance experienced by the comet from an extremely rare etherial medium pervading the regions of its orbit. For it is evident that such a medium must, in retarding its velocity, increase its centripetal, by weakening its centrifugal force. In other words, the sun's attraction would be constantly attaining greater power, and the comet would be drawn nearer at every revolution. Indeed, there is no other way of accounting for the variation in question. But again. The real diameter of the same comet's nebulosity, is observed to contract rapidly as it approaches the sun, and dilate with equal rapidity in its departure towards its aphelion. Was I not justifiable in supposing, with M. Valz, that this apparent condensation of volume has its origin in the compression of the same etherial medium I have spoken of before, and which is only denser in proportion to its solar vicinity? The lenticular-shaped phenomenon, also, called the zodiacal light, was a matter worthy of attention. This radiance, so apparent in the tropics, and which cannot be mistaken for any meteoric lustre, extends from the horizon obliquely upwards, and follows generally the direction of the sun's equator. It appeared to me evidently, in the nature of a rare atmosphere extending from the sun outwards, beyond the orbit of Venus at least, and I believed indefinitely farther. Indeed, this medium I could not suppose confined to the path of the comet's ellipse, or the immediate neighborhood of the sun. It was easy, on the contrary, to imagine it pervading the entire regions of our planetary system, condensed into what we call atmosphere at the planets themselves, and in some of them modified by considerations, so to speak, purely geological.
Having adopted this view of the subject, I had little farther hesitation. Granting that on my passage I should meet with atmosphere essentially the same as at the surface of the earth, I conceived that, by means of the very ingenious apparatus of M. Grimm, I should readily be enabled to condense it in sufficient quantities for the purpose of respiration. This would remove the chief obstacle in a journey to the moon. I had indeed spent some money and great labor in adapting the apparatus to the purposes intended, and I confidently looked forward to its successful application, if I could manage to complete the voyage within any reasonable period. This brings me back to the rate at which it might be possible to travel.
It is true that balloons, in the first stage of their ascensions from the earth, are known to rise with a velocity comparatively moderate. Now the power of elevation lies altogether in the superior lightness of the gas in the balloon, compared with the atmospheric air; and, at first sight, it does not appear probable that, as the balloon acquires altitude, and consequently arrives successively in atmospheric strata of densities rapidly diminishing—I say it does not appear at all reasonable that, in this its progress upwards, the original velocity should be accelerated. On the other hand, I was not aware that, in any recorded ascension, a diminution was apparent in the absolute rate of ascent—although such should have been the case, if on account of nothing else, on account of the escape of gas through balloons ill-constructed, and varnished with no better material than the ordinary varnish. It seemed, therefore, that the effect of such an escape was only sufficient to counterbalance the effect of some accelerating power. I now considered, that provided in my passage I found the medium I had imagined, and provided it should prove to be actually and essentially what we denominate atmospheric air, it could make comparatively little difference at what extreme state of rarefaction I should discover it—that is to say, in regard to my power of ascending—for the gas in the balloon would not only be itself subject to a rarefaction partially similar, but, being what it was, would still, at all events, continue specifically lighter than any compound whatever of mere nitrogen and oxygen. In the meantime the force of gravitation would be constantly diminishing, in proportion to the squares of the distances, and thus, with a velocity prodigiously accelerating, I should at length arrive in those distant regions where the power of the earth's attractions would be superseded by the moon's. In accordance with these ideas, I did not think it worth while to encumber myself with more provisions than would be sufficient for a period of forty days.
There was still, however, another difficulty which occasioned me some little disquietude. It has been observed, that in all balloon ascensions to any considerable height, besides the pain attending respiration, great uneasiness is invariably experienced about the head and body, often accompanied with bleeding at the nose, and other symptoms of an alarming kind, and growing more and more inconvenient in proportion to the altitude attained. This was a reflection of a nature somewhat startling. Was it not probable that these symptoms would increase indefinitely, or at least until terminated by death itself? I finally thought not. Their origin was to be looked for in the progressive removal of the customary atmospheric pressure upon the surface of the body, and consequent distension of the superficial blood-vessels—not in any positive disorganization of the animal system, as in the case of difficulty in breathing, where the atmospheric density is chemically insufficient for the purpose of a due renovation of blood in a ventricle of the heart. Unless for default of this renovation, I could see no reason, therefore, why life could not be sustained even in a vacuum—for the expansion and compression of chest, commonly called breathing, is action purely muscular, and the cause, not the effect, of respiration. In a word, I conceived that, as the body should become habituated to the want of atmospheric pressure, these sensations of pain would gradually diminish, and to endure them while they continued, I relied strongly upon the iron hardihood of my constitution.
Thus, it may please your Excellencies, I have detailed some, though by no means all the considerations which led me to form the project of a lunar voyage. I shall now proceed to lay before you, the result of an attempt so apparently audacious in conception, and, at all events, so utterly unparalleled in the annals of human kind.
Having attained the altitude before mentioned, that is to say, three miles and three quarters, I threw out from the car a quantity of feathers, and found that I still ascended with sufficient rapidity—there was, therefore, no necessity for discharging any ballast. I was glad of this, for I wished to retain with me as much weight as I could carry, for reasons which will be explained in the sequel. I as yet suffered no bodily inconvenience, breathing with great freedom, and feeling no pain whatever in the head. The cat was lying very demurely upon my coat, which I had taken off, and eyeing the pigeons with an air of non chalance. These latter being tied by the leg, to prevent their escape, were busily employed in picking up some grains of rice scattered for them in the bottom of the car.
At twenty minutes past six o'clock, the barometer showed an elevation of 26,400 feet, or five miles to a fraction. The prospect seemed unbounded. Indeed, it is very easily calculated by means of spherical geometry, what a great extent of the earth's area I beheld. The convex surface of any segment of a sphere is, to the entire surface of the sphere itself, as the versed sine of the segment is to the diameter of the sphere. Now in my case, the versed sine—that is to say, the thickness of the segment beneath me, was about equal to my elevation, or the elevation of the point of sight above the surface. "As five miles, then, to eight thousand," would express the proportion of the earth's area seen by me. In other words, I beheld as much as a sixteen-hundredth part of the whole surface of the globe. The sea appeared unruffled as a mirror, although, by means of the spy-glass, I could perceive it to be in a state of violent agitation. The ship was no longer visible, having drifted away, apparently, to the eastward. I now began to experience, at intervals, severe pain in the head, especially about the ears—still, however, breathing with tolerable freedom. The cat and pigeons seemed to suffer no inconvenience whatsoever.