THE
STUDY OF ASTRONOMY,
ADAPTED TO THE
CAPACITIES OF YOUTH:
IN TWELVE FAMILIAR DIALOGUES,
BETWEEN
A TUTOR AND HIS PUPIL:
Explaining the General Phænomena of the Heavenly
Bodies, the Theory of the Tides, &c.
ILLUSTRATED WITH COPPER-PLATES.
By JOHN STEDMAN.
LONDON:
PRINTED FOR C. DILLY, IN THE POULTRY.
M.DCC.XCVI.
ERRATA.
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PREFACE.
It has long been a matter of surprize to those who are interested in the education of youth, that, among the numerous publications intended for their improvement, so few attempts have been made to facilitate the study of Astronomy.
Many excellent treatises have been written on this important and useful science; but if it be considered that they abound with technical terms, unintelligible to juvenile minds, it cannot be expected that they should derive any great advantage from the perusal of them.
To remove these difficulties, the Author has endeavoured, whenever he had occasion to use them, to give such illustrations as to leave no doubt on the young student’s mind respecting their true meaning.
The subject appeared to him to be best calculated for dialogues, which are certainly more agreeable as well as more perspicuous to young persons, than the discouraging formality of a treatise. And it is presumed the language will be found natural and easy.
In the order he has chosen, he has been careful not to introduce any thing new, till the former part, on which it depends, has been clearly explained.
On the whole, it has been his aim to render it as concise and plain as the nature of the subject will admit; and he flatters himself, that at a time when the sciences are so universally studied, the introduction now offered to the public will not be unacceptable.
CONTENTS.
| Dialogue I. | p. [1]. | ||
| Introduction. Definition. The sun and planets. A globe defined. Sun’s distance and magnitude. Planets, what; their names, periods, and distances from the sun; their magnitudes, compared with the earth; called inferior and superior, why. Comets; derivation of the name. Solar system; why so called. | |||
| Dialogue II. | p. [10]. | ||
| Different systems explained. Planets appear like stars; they shine by reflection; how known from stars; they never twinkle, why. Stars shine with their own native light; their inconceivable distance; are suns, the centers of other systems. Plurality of worlds. | |||
| Dialogue III. | p. [20]. | ||
| The earth has the appearance of a star to Venus. Remote objects appear at equal distances from us. Our earth is a moon to the moon. The orb of the moon visible soon after the change; her disc and bulk compared with the earth; her mean distance. Sun’s disc compared with hers. Our sun a star, if seen from a planet of another system. Stars as far from each other as the nearest is to us. Stars distinguished by their apparent magnitude. The Milky Way innumerable stars. Number of stars visible at one time to the naked eye. | |||
| Dialogue IV. | p. [29]. | ||
| Stars divided into constellations; necessary for ascertaining the situation of the planets, and of the stars with each other. Planets motion regular if seen from the sun; irregular as seen from the earth, the motion being sometimes direct, sometimes retrograde; at others they appear stationary. Superior and inferior conjunction, and opposition, what. Venus has the different phases of the moon. Planets, how distinguished from each other. | |||
| Dialogue V. | p. [39]. | ||
| Ecliptic, what. Inclination of the orbits of the planets. Nodes of the planets, what. A plane, what. Planets move in unbounded space. Mercury and Venus seen on the sun’s disc. Number of signs in the zodiac. Zodiac, what. A degree, what. Names of the signs. Number of degrees in each sign. Sun’s place in the ecliptic. Table of signs, their characters, &c. To find the sun’s place in the ecliptic for any day in the year. | |||
| Dialogue VI. | p. [50]. | ||
| The orbits of the planets are not true circles, but somewhat elliptical. Perihelion, aphelion, and mean distance, what. Attraction, what. Laws of attraction. Attraction of gravitation, its effects. Simple motion rectilineal. Attractive or centripetal, and projectile or centrifugal forces, what. | |||
| Dialogue VII. | p. [61]. | ||
| Bodies moving in circles have a tendency to fly off. Planets kept in their orbits by the joint action of the centripetal and centrifugal forces; they describe equal areas in equal times. Orbits of the comets very elliptical. The earth in its perihelion in December. Equation of time. Center of gravity, what; sun and planets move round it. Sun the center of the system. | |||
| Dialogue VIII. | p. [73]. | ||
| The earth revolves on its axis. Cause of day and night. The motion of the earth so uniform as not to be perceived. The apparent motion of the sun caused by the earth’s motion on its axis. An objection to the earth’s motion answered. The sun and some of the planets revolve on their axes. Atmosphere, what; cause of twilight. Horizon, what; the sun and moon appear largest near the horizon, why; they appear above the horizon when below it; caused by refraction; proved by experiment. | |||
| Dialogue IX. | p. [87]. | ||
| Inclination of the earth’s axis. An angle, what. The poles, what. Equinoctial, what. Earth’s parallelism described. The axis of the earth points to the same parts of the heavens. Equator, ecliptic, polar circles, and meridians, explained. Difference of time between places lying under different meridians. Longitude, what. How to reduce longitude to time, and time to longitude. Latitude, what. | |||
| Dialogue X. | p. [101]. | ||
| The seasons. Vernal and autumnal equinoxes. Days and nights always equal, if the axis of the earth were perpendicular to the plane of its orbit. Seasons occasioned by the inclination of the earth’s axis. Seasons continued. Days and nights equal at all times under the equator. The sun above the horizon of the poles six months; and six months below them alternately, so that they have but one day and one night in the year; the longest day under the polar circles is twenty-four hours. The sun rises on different points of the compass at different seasons of the year. Twilight in the polar regions of long duration. We are nearest the sun in winter, yet it is our coldest season, why. The earth divided into zones; proved to be globular, but is not a true sphere. | |||
| Dialogue XI. | p. [120]. | ||
| The moon. Her diameter, synodical and periodical revolutions. Her phases. Has always the same side to the earth, and makes a revolution on her axis every lunation. Has mountains and valleys, but no seas nor atmosphere; yet may be inhabited. Her real and apparent motion described. Eclipses. Of the sun; total and partial eclipses. Digit, what. Eclipse of the moon. Penumbra, what. Central and total eclipse. Why we have not an eclipse at every full and change of the moon. She does not always rise with the sun at change; nor when he sets at full. She is visible when totally eclipsed. | |||
| Dialogue XII. | p. [136]. | ||
| Tides. Occasioned by the attraction of the sun and moon, and their centrifugal forces; exemplified by an experiment. Spring and neap tides. Tides not highest directly under and opposite the moon, but after she has passed the meridian. They are later and later every day. Rule for finding the proportional magnitudes of the planets compared with the earth; or the proportion that one globe bears to another. A cube number, what. Table of roots, squares, and cubes; an example. Rule for finding the mean distances of the planets from the sun. Dr. Turner’s rule for extracting the cube root; an example to explain the rule. Example to find the mean distance of Mercury from the sun. Table of diameters, &c. Conclusion. | |||
DIALOGUE I.
Tutor.
Well, Sir! I suppose this early visit is in consequence of my promise, and your anxiety to become an astronomer.
Pupil. It is, Sir.—And as astronomy is a science of which I have a very imperfect idea, I must beg of you to explain it to me.
Tutor. That I shall do with pleasure. But you surely cannot wholly forget what I have formerly told you. However, as I mean to treat the subject as if you had no previous knowledge of it, you will have an opportunity from what you can recollect, to make such remarks, and ask such questions, as may appear most material to you.
Pupil. I thank you, Sir, it is just what I wish.
Tutor. By astronomy then is meant a knowledge of the heavenly bodies, the sun, moon, planets, comets, and stars, respecting their nature, magnitudes, distances, motions, &c.
Pupil. I fear I shall find it a difficult study.
Tutor. Have patience.——
“The wise and prudent conquer difficulties,
“By daring to attempt them. Sloth and folly
“Shiver and shrink at sight of toil and danger,
“And make the impossibility they fear.”
Pupil. This gives me encouragement, and, if you will have patience with me, I will endeavour to profit by your instructions.——Pray, Sir, what is the sun?
Tutor. The sun, the source of light and heat, has been considered a globe of fire, round which seven other spherical bodies revolve at different distances from him, and in different periods of time, from west by south to east. These are the planets[[1]].
Pupil. Any round ball is a globe, is it not?
Tutor. A sphere or globe is defined a round solid body, every part of whose surface is equally distant from a point within called its center; and a line drawn from one side through the center to the opposite side, is called its diameter.
Pupil. You say the sun has been considered a globe of fire. Is he not now thought to be so?
Tutor. [[2]]Doctor Herschell, from some late observations, is of a different opinion.—But what think you of his magnitude?
Pupil. I really cannot conjecture.—This I know, that when I saw him through the fog the other day, he appeared about the size of a common plate.
Tutor. You must not always judge by appearances. You will find that there is a material difference between his real and apparent magnitude, which I think you will be convinced of when I tell you, that he is no less than 95 millions of miles from our earth.
Pupil. Ninety-five millions of miles! You astonish me.
Tutor. You will, I dare say, be no less surprized at being told, that he is more than a million of times as large as our earth.
Pupil. It is almost incredible! And what are the planets?
Tutor. The planets are opaque, that is dark bodies, which receive their light from the sun; and, as I told you, revolve about him. The first, or that nearest the sun, is called Mercury, the next Venus, then the Earth, Mars, Jupiter, Saturn, and Georgian, or the Georgium Sidus.[[3]] These are called primary planets.
Pupil. Are there then any others?
Tutor. Yes. There are fourteen others, which move round their respective primaries as their centers, and with them round the sun, and are called secondaries, satellites or moons.
Pupil. Have all the primaries secondaries?
Tutor. Only four of them have moons. The earth, I need not tell you, has one; Jupiter has four; Saturn seven, besides a stupendous ring which surrounds his body; and Georgian two.
Pupil. In what time, and at what distances, from the sun, do the planets perform their periodical revolutions?
Tutor. Mercury revolves about the sun in 88 days, at the distance of 36 millions of miles.
Venus, at the distance of 68 millions of miles, completes her revolution in 224 days.
Earth, on which we live, at the distance of 95 millions of miles, performs its period in one year.[[4]]
Mars, at the distance of 145 millions of miles, in little less than two of our years.
Jupiter, at the distance of 494 millions of miles, in near 12 years.
Saturn, at the distance of 906 millions of miles, in about 30 years.
Georgian, discovered a few years since by Dr. Herschell, performs its period at the distance of 1812 millions of miles, in about 83 years.[[5]]
Pupil. What proportion does the earth bear in magnitude to the other planets?
Tutor. The earth is fourteen times as large as Mercury, very little larger than Venus, and three times as large as Mars. But Jupiter is more than fourteen hundred times as large as the earth; Saturn above a thousand times as large, exclusive of his ring; and Georgian eighty-two times as large.
Pupil. Have you any thing else, Sir, to remark concerning the planets?
Tutor. There are several other things I intend to make you acquainted with, namely, their nature, appearances, motions, &c. At present I shall only say, that Mercury and Venus are called [[6]]inferior planets, their orbits or paths described in going round the sun, being within that of the earth; and the other four, whose orbits are without the earth’s orbit, [[7]]superior planets.
Pupil. There is one thing more I wish to know, if——
Tutor. I suppose you were going to say if not too much trouble; that is quite unnecessary, as you well know that where I see a desire to learn, teaching is to me a pleasure.—What is it?
Pupil. That you will be so kind as to inform me what the comets are, and if they have any motion?
Tutor. The knowledge we have of comets is very imperfect, as they afford few observations on which to ground conjecture. They are generally supposed to be planetary bodies, forming a part of our system: for, like the planets, they revolve about the sun, but in different directions, and in extremely long elliptic curves, being sometimes near the sun, at others staying far beyond the orbit of the outermost planet; whereas the orbits of the planets are nearly circular. The period of one, which appeared in 1680, is computed to be 575 years.
Pupil. Whence do they derive their name?
Tutor. From Cometa, a hairy star, because they appear with long tails, somewhat resembling hair: some, however, have been seen without this appendage, as well defined and round as planets.
Pupil. You say our system: what am I to understand by it?
Tutor. The word system, in an astronomical sense, means a number of bodies moving round one common center or point: and, because the planets and comets revolve about the sun, it is called the Solar System (Plate I. fig. 2.); and we say our system, as the earth is one of the planets. Other systems have been invented for solving the appearances and motions of the heavenly bodies, a description of which I shall leave till I next see you.
[1]. From Planeta, roving or wandering.
[2]. See his letter read at the Royal Society, December 18th, 1794.
[3]. Their characters are,
| Sun, | Merc. | Venus, | Earth, | Mars, | Jup. | Saturn, | Georgian, |
| ☉ | ☿ | ♀ | ♁ | ♂ | ♃ | ♄ | ♅ |
[4]. The motion of the earth in its orbit is at the rate of 68 thousand miles an hour.
[5]. As the distances of the planets, when marked in miles, are a burthen to the memory, astronomers often express their mean distances in a shorter way, by supposing the distance of the earth from the sun to be divided into ten parts. Mercury may then be estimated at four of such parts from the sun, Venus at seven, the Earth at ten, Mars at fifteen, Jupiter at fifty-two such parts, Saturn at ninety-five, and Georgian 190 parts. See Plate I. Fig. 1.
These are calculated by multiplying the respective distances of the planets by 10, and dividing by 95, the mean distance of the earth from the sun; and may be set off by any scale of equal parts.
[6]. Perhaps with more propriety interior or inward.
[7]. Exterior or outward.
DIALOGUE II.
Pupil.
I am afraid, Sir, I am come before you are prepared for me: but the very great pleasure I received yesterday, induced me to be with you as early as possible.
Tutor. I am glad to see you, and happy to find you are so well pleased with your difficult study. It will, I assure you, give you more exalted ideas of the Deity than any that I know of. The Psalmist was undoubtedly of this opinion when he said, The Heavens declare the glory of God, and the Firmament sheweth his handy work.
Pupil. I will no longer call it a difficult, but a pleasing study, and feel myself ashamed at having used the expression. I shall now beg you to explain to me the different systems.
Tutor. The system I have been describing to you was known and taught by Pythagoras, a Greek philosopher, who flourished about 500 years before Christ, as he found it impossible, in any other way, to give a consistent account of the heavenly motions.
This system, however, was so extremely opposite to all the prejudices of sense and opinion, that it never made any great progress, nor was ever widely spread in the ancient world.
Ptolemy, an Egyptian philosopher, who flourished 130 years after Christ, supposed that the earth was fixed in the center, and that the sun and the rest of the heavenly bodies moved round it in twenty-four hours, or one natural day, as this seemed to correspond with the sensible appearances of the cœlestial motions. This system was maintained from the time of Ptolemy to the revival of learning in the sixteenth century.
At length, Copernicus, a native of Poland, a bold and original genius, adopted the Pythagorean system, and published it to the world in the year 1530. This doctrine had been so long in obscurity, that the restorer of it was considered as the inventor.
Europe, however, was still immersed in ignorance; and the general ideas of the world were not able to keep pace with those of a refined philosophy. This occasioned Copernicus to have few abettors, but many opponents. Tycho Brahe, in particular, a noble Dane, sensible of the defects of the Ptolemaic system, but unwilling to acknowledge the motion of the earth, endeavoured, about 1586, to establish a new system of his own; but, as this proved to be still more absurd than that of Ptolemy, it was soon exploded, and gave way to the [[8]]Copernican or true Solar System.
Pupil. I confess, I should have thought with Ptolemy, that the earth was in the center, and that the sun moved round it.
Tutor. You must at present content yourself with knowing that it is not so; and it shall be my business to prove it.
Pupil. May I beg the favour of the information you intended respecting the planets?
Tutor. I will grant it with pleasure. The planets are spherical bodies, which appear like stars, but are not luminous; that is, they have no light in themselves; though they give us light; for they shine by reflecting the light of the sun.
Pupil. You say, Sir, that they appear like stars; if so, how am I to know them from stars?
Tutor. Very easily: for the stars, or as they are more properly called fixed stars, always keep the same situation with respect to each other; whereas the planets, as they move round the sun, must be continually changing their places among the fixed stars, and with one another.
Pupil. Is there any other method of distinguishing them besides what you have mentioned?
Tutor. Yes. The planets never twinkle like the fixed stars, and are seen earliest in the evening and latest in the morning.
Pupil. How is the twinkling of the stars in a clear night accounted for?
Tutor. It arises from the continual agitation of the air or atmosphere through which we view them; the particles of air being always in motion, will cause a twinkling in any distant luminous body, which shines with a strong light.
Pupil. Then, I suppose, the planets not being luminous, is the reason why they do not twinkle.
Tutor. Most certainly. The feeble light with which they shine is not sufficient to cause such an appearance.
Pupil. Have the stars then light in themselves?
Tutor. They undoubtedly shine with their own native light, or we should not see even the nearest of them: the distance being so immensely great, that if a cannon-ball were to travel from it to the sun, with the same velocity with which it left the cannon, it would be more than 1 million, 868 thousand years, before it reached it.[[9]]
Pupil. This is wonderful indeed! what then are they supposed to be?
Tutor. Suns.
Pupil. Suns! the fixed stars suns!
Tutor. Yes, suns.
“One sun by day, by night ten thousand shine.”
And what will increase your astonishment, each of them is the center of a system of planets, which move round him.[[10]]
“Observe how system into system runs.”
“What other planets circle other suns.”
Pupil. I am almost lost.—I used to think they were designed to give us light.
Tutor. This is a vulgar error.—They were doubtless created for a much nobler purpose, since thousands of them are invisible to us without the help of a telescope; and we receive more light from the moon than from all the stars together.
Pupil. How do you know they are suns? Is their being luminous a proof of their being so?
Tutor. No. But we know that the sun shines with his own light on all the planets belonging to our system; and from what I have told you, have the greatest reason to believe that the stars shine with their own light: we therefore from analogy conclude, that they are so many suns conveying light and heat to other worlds[[11]].
Pupil. Are there then other worlds besides this we live in?
Tutor. Consider.—Has not the earth we inhabit a moon to enlighten it?
Pupil. Yes, Sir.
Tutor. And have I not told you that Jupiter, Saturn, and Georgian, have also moons?
Pupil. This I well remember.
Tutor. For what purpose then do you suppose those orbs were designed?
Pupil. Indeed, I cannot tell.
Tutor. You surely cannot imagine that they were intended for our use, since we knew nothing of them till after the invention of telescopes.
Pupil. That is what I think no one can suppose.
Tutor. And do not all the planets enjoy the benefit of the sun in common with us?
Pupil. Undoubtedly.
Tutor. Well, then; of what use would the light and heat be which is conveyed to them from the sun; or the light which they receive from their moons if there are no inhabitants?
Pupil. I know of none.
Tutor. Can you then have any doubt about their being inhabited?
Pupil. No, Sir.—But you say that the stars are suns, each of which is the center of a system of planets or worlds.
Tutor. If you are satisfied that the planets belonging to our system are inhabited, and that the fixed stars are suns, the centers of other systems, what reasonable objection can you have to all the planets in the universe being so?
Pupil. It is what I cannot comprehend.
Tutor. It may be so.—But is not the same Almighty Power, who does nothing in vain, as capable of making ten thousand worlds if he pleased, as well as one?
Pupil. I will not presume to dispute his power; but are we not told that all mankind descended from Adam?
Tutor. Yes; Moses wrote concerning this earth, he has not made us acquainted with the inhabitants of the other planets: for aught we know they might descend from other Adams.—To-morrow evening, I hope to see you again.
[8]. See Plate I. fig. 2.
[9]. The distance of Syrius is 18,717,442,690,526 miles. A cannon-ball going at the rate of 1143 miles an hour, would only reach the sun in about 1,868,307 years, 88 days.
Adams’s Lectures, vol. 4. page 44.
[10]. Dr. Herschell says, that in some clusters of stars he has observed, they appear too close together to admit any planets to revolve about them.
[11]. Dr. Herschell thinks it probable that the sun and fixed stars may be inhabited.
DIALOGUE III.
Pupil.
I recollect, Sir, you mentioned last night, that the planets appear like stars. Our earth is a planet; how can it have the appearance of a star?
Tutor. If you were on the planet Venus, the earth would have as much the appearance of a star as Venus has to us.
Pupil. But Venus appears amongst the fixed stars.
Tutor. Yes. And so would the earth appear from Venus.
Pupil. How can it be?
Tutor. Because, in whatever part of the universe we are, we appear to be in the center of a concave, that is hollow, sphere, where remote objects appear at equal distances from us: so that, whether we are on the planet Venus or on the earth, in this particular the effect will be the same.
Pupil. Then the light we receive from the sun is by reflection conveyed to the other planets.
Tutor. No doubt of it. And our earth appears as a moon to the inhabitants of the moon, and undergoes the various changes of that planet.
Pupil. Have you any proof of this, Sir?
Tutor. Nothing can be clearer; for, on a fine evening, soon after the change of the moon, when the earth appears nearly as a full moon to the moon, and we see a faint streak of light, the whole body of the moon is visible to us.
Pupil. I remember to have seen it.
Tutor. You do?—The earth then will appear there thirteen times as large as the moon does to us; of course it must reflect a strong light on the body of the moon, and it is by that light we see that part of the moon which is turned from the sun.
Pupil. Is the earth, then, only thirteen times as big as the moon?
Tutor. In solidity it is about fifty times as large; but its disc or face is only thirteen times.
Pupil. What is the moon’s distance from the earth?
Tutor. 240 thousand miles, which is about 400 times less than that of the sun.
Pupil. And yet she appears as far distant as the sun.
Tutor. You are now, I hope, convinced of what I said relative to distant objects.
Pupil. I am, Sir: and I suppose the reason of the moon’s appearing as large as the sun, is because she is so much nearer to us.
Tutor. It is so.—For, at a total eclipse of the sun, which happens when the moon is in a right line between the sun and the earth, the sun is obscured from our sight, although his disc is 160 thousand times as large as that of the moon. In like manner would the moon, when at full, be hid by placing your cricket-ball in a line between your eye and her, yet, you know, the ball is not so large as the moon; but being nearer the eye, it is apparently so.
Pupil. This is very clear. But——
Tutor. I conjecture you were going to ask me to explain the nature of eclipses.
Pupil. That was certainly my intention, Sir.
Tutor. There are other things you must be made acquainted with before you will be able to comprehend it, and which I will endeavour to make you understand before we enter on the subject.
Pupil. Whenever you please, Sir.
Tutor. You have taken a view of the earth from the planet Venus.—Suppose I transport you to one of the planets belonging to another system; what description do you think you should give of it?
Pupil. I must consider. What I now call a star would be a sun. The planets of that system I should see as I now do those belonging to ours: our sun would be a star; and the earth, with all the other planets, would be invisible.
Tutor. Very well, Sir. Can you then find it difficult to conceive that all the stars are as far from each other in unbounded space as our sun is from the nearest star?
Pupil. It is hard to conceive: but when I consider that wherever I am, every remote object appears at an equal distance from me, the difficulty vanishes.
Tutor. That you might form some idea of the immense distance of the fixed stars, you must recollect, I mentioned the time a cannon-ball would be in reaching the nearest of them.
Pupil. I do, Sir. More than 1,868,000 years.
Tutor. You have an excellent memory. I suppose then you know the distance of the earth from the sun?
Pupil. Yes, Sir. I wrote it down; and, it made so strong an impression on my memory, that I believe I shall never forget it.—95 millions of miles.
Tutor. Now, suppose the earth to be in that part of its orbit which is nearest to the star, it would be 95 millions of miles nearer to it than the sun is.
Pupil. Certainly.
Tutor. And, in the opposite side of its orbit, as much farther from the star.
Pupil. Without doubt.
Tutor. Then you find that the earth is 190 millions of miles nearer to the star at one time of the year than it is at another; and yet the magnitude of the star does not appear the least altered, nor is its distance affected by it.
Pupil. A proof of its amazing distance.—I was going to ask a silly question.
Tutor. What is it? perhaps not so simple as you may imagine.
Pupil. Whether the most conspicuous stars are not supposed to be the nearest to us?
Tutor. Undoubtedly.—And are called stars of the first magnitude; the next in splendor, stars of the second magnitude; and so on to the sixth magnitude; and those beyond, which are not visible to the naked eye, are called telescopic stars.
Pupil. The distance of the telescopic stars must be great indeed, beyond all conception.
Tutor. You judge rightly; and their numbers are beyond all computation. Doctor Herschell says, he has not a doubt but that the broad circle in the heavens, called the Milky Way, is a most extensive stratum of stars, he having discovered in it many thousands. Besides, some stars appear to him double, others treble, &c. not that they are really so, but are stars at different distances from us, which appear nearly in a right line.
“As in the milky-way a shining white
“O’erflows the heav’ns with one continued light,
“That not a single star can shew his rays,
“Whilst jointly all promote the common blaze.”
Pupil. I have heard of numbering the stars; but that, I find, is impossible.
Tutor. If you mean that immense host of stars I have been describing, it is impossible; but, though in a clear winter’s night, without moonshine, they seem to be innumerable, which is owing to their strong sparkling, and our looking at them in a confused manner; yet when the whole firmament is divided as it has been done by the ancients, the number that can be seen at a time, by the naked eye, is not above a thousand.
Pupil. Pray, Sir, how did the ancients divide the firmament?
Tutor. I would willingly answer your question; but, as I find I shall not have time to give you that information I wish, I shall postpone it till I see you to-morrow evening.
DIALOGUE IV.
Tutor.
The ancients, in reducing astronomy to a science, combined the fixed stars into constellations, allowing several stars to make one constellation: and, for the better distinguishing and observing them, they reduced the constellations to the forms of animals, or to the images of some known things, by which means they were enabled to signify to others any particular star they meant to notice. Job mentions two of the constellations, namely, Orion and Pleiades, which shews the study of astronomy to be very ancient.
Pupil. Pray, Sir, how may I know them?
Tutor. By studying the use of the cælestial globe, on which they are drawn.
Pupil. Will you be kind enough to instruct me, Sir?
Tutor. At some future time I probably may: at present you are not prepared for it.
Pupil. I am satisfied.—Have you any thing more to remark of the constellations, Sir?
Tutor. Yes. The situation of the planets, as they are continually changing their places, could not be pointed out without first dividing the stars into constellations: hence, necessity was the mother of invention.
Pupil. And I think a very ingenious one.—If I may be allowed a comparison, I will suppose the different kingdoms of the world on my dissected map, to represent so many constellations; then, if I hear of London, I know it is in England; if of Paris, in France; of Lisbon, in Portugal; and so on. These I would compare with stars of the first magnitude, being the chief cities of their respective kingdoms; inferior cities, stars of the second magnitude; principal towns of the third, &c.
Tutor. A very apt comparison indeed. Now if you hear of a traveller setting off from London to Dover, thence to Calais, Paris, Bern, and so on to Rome, you know that he must go through part of England, Flanders, France, Switzerland, and Italy, passing many towns and villages on his way.
Pupil. That is very evident.
Tutor. Very well, then; in like manner would the planets, if seen from the sun, be traced from star to star, from constellation to constellation, through their whole periods.
Pupil. It is not possible to view them from the sun, surely, is it?
Tutor. No, certainly.
Pupil. Why then do you say if seen from the sun?
Tutor. Because it is there only their motions can appear uniform; as seen from the earth they apparently move very irregularly.—Suppose you were in the center of a circular course; and, whilst a horse was going round, you kept your eye on him: cannot you conceive that you should see him run round the course in a regular manner, moving the whole time the same way?
Pupil. It is not at all difficult to conceive.
Tutor. Again. Imagine yourself placed at a considerable distance on the outside of the course, where you could see the horse the whole time he was going round, would he appear to move as uniformly as before?
Pupil. Certainly not: on the opposite side of the course his motion would be the same as when I stood in the center of it; when he was approaching me, I should scarcely see him move; in that part of the course next to me he would move in a direction contrary to what he did at first; and again when going from me, his motion would be scarcely visible.
Tutor. This I think will give you a tolerable idea of the irregular motion of the inferior planets, as seen from the earth. When farthest from us their motion is said to be direct; when nearest to us retrograde, because they appear to be moving back again; and, when approaching, or going from us, we say they are stationary; because, if then observed in a line with any particular star, they will continue so for a considerable time: now these appearances could not happen if they moved round the earth.
Pupil. Nothing can be plainer: for if the earth were in the center we should always see them move the same way.
Tutor. When the planet is nearest to us, that is in a line between us and the sun, we say it is in its inferior conjunction; when farthest from us, and the sun is between us and the planet, in its superior conjunction. But the superior planets have alternately a conjunction and an opposition.
Pupil. A conjunction, I suppose, when the sun is between the earth and the planet, and an opposition when the earth is between the sun and the planet; that is, when the planet is nearest to us, and appears to be opposite to the sun?
Tutor. You are right.—Therefore, when in conjunction it rises and sets, nearly with the sun; but in opposition, it rises nearly when the sun sets, and sets when he rises.
Pupil. Why do you say nearly, Sir?
Tutor. Because it cannot be exactly, but when the sun, earth, and planet are in a right line, which seldom happens.
Pupil. How do you account for this, Sir?
Tutor. At present I fear you will not be able to comprehend what I wish to explain, as I must use a term you are unacquainted with. The reason is, that the planets are very seldom in or near their nodes at their conjunctions or oppositions.
Pupil. I do not indeed understand what you mean by the word nodes.
Tutor. It will be explained to you in due time, and I shall conclude this evening with a few more remarks relative to the appearance of the planets.
Pupil. Any thing you please, Sir.
Tutor. You know that the planets, being opaque bodies, receive their light from the sun; and that only that part which is turned to the sun can be enlightened by him, whilst the opposite side must remain in darkness.
Pupil. This is self-evident: if I hold my ball to the candle it will have the same effect.
Tutor. Tell me then how you think they will appear as seen from the earth.
Pupil. If, when you shewed me Venus, she had not appeared perfectly round, I should say that, both before and after her superior conjunction I should see her nearly with a full face; when stationary, only half enlightened, like the moon at first quarter; because, an equal portion of the dark and bright parts will be turned towards us; the bright part will be decreasing till her inferior conjunction, when the dark side will be turned towards us, and consequently invisible; the light will then increase; and, when she is again stationary, she will appear like the moon at last quarter.
Tutor. When seen through a telescope she has the different appearances you have mentioned; and when I next see you I will shew you that both Venus and Mercury may sometimes be seen when in their inferior conjunctions; the superior planets always appear with nearly a full face.
Pupil. How are the planets distinguished from each other?
Tutor. Mercury, from his vicinity to the sun, is seldom seen, being lost in the splendor of the solar brightness. When seen, he emits a very bright white light.
Venus, known by the names of the morning and evening star, is the brightest, and to appearance, the largest of all the planets; her light is of a white colour, and so considerable, that in a dusky place she projects a sensible shade. She is visible only for three or four hours in the morning or evening, according as she is before or after the sun.
Mars is the least bright of all the planets. He appears of a dusky reddish hue, and much larger at some periods than at others, according as he is nearer to, or farther from us.
Jupiter is distinguished by his peculiar magnitude and light. To the naked eye he appears almost as large as Venus, but not altogether so bright.
Saturn shines but with a pale feeble light, less bright than Jupiter, though less ruddy than Mars.
The Georgium Sidus cannot be readily perceived without the assistance of a telescope.
DIALOGUE V.
Tutor.
Before I proceed to explain what I promised you, it is necessary you should be informed that the earth as seen from the sun, in its periodical revolutions, will describe a circle among the stars which astronomers call the ecliptic, and sometimes the sun’s annual path, because the sun, as seen from the earth, always appears in that line.
Pupil. Do not all the planets move in the ecliptic?
Tutor. No.—On account of the obliquity of their orbits, they are, in every revolution, one half of their periods above the ecliptic, and the other half below it.
Pupil. I think I comprehend your meaning; but shall be obliged to you, Sir, if you can make it clearer to me.
Tutor. I have here a little design, (Plate II. Fig. 1.) which will answer our purpose: where S represents the sun; ABCD, the orbit of the earth; and EFGH, the orbit of one of the inferior planets, suppose Venus.
Pupil. Now I understand it perfectly: the half EHG rises above, and the other half EFG sinks below it, from the points EG, which I perceive are in a line with the orbit of the earth. But pray, Sir, have you any name for that dotted line?
Tutor. Yes, it is called the line of the nodes; and the points EG the nodes of the planet: the latter is called the ascending node, because, when the planet is in G, it is ascending or rising above the orbit of the earth; or, which is the same thing, above the ecliptic: and when in E, it is descending or sinking below it, whence it is called the descending node. But you must remember that the orbits of all the planets do not cross or intersect the ecliptic in the same points; but that their nodes or intersections are at different parts of it.
Pupil. How can the orbit of the earth and the ecliptic be the same?
Tutor. They are very different; but being in the same plane, if the orbit of any planet inclines to one it must incline equally to the other.
Pupil. You will, I fear, Sir, think me very stupid: but I must beg of you to inform me what you mean by a plane?
Tutor. Any flat surface is a plane. You may therefore suppose the edge of a round tea-table to represent the ecliptic, and a circle within it, drawn from the center of the table, the orbit of the earth: will they not be both in the same plane?
Pupil. Certainly.
Tutor. You must not imagine, when I am speaking to you of the plane of the ecliptic, or plane of the earth’s orbit, that it is a visible flat surface, or, in speaking of the orbits of the planets, I mean solid rings.—No. The planets perform their revolutions with the utmost regularity, in unbounded space; and, like a bird thro’ the air, leave no track behind them.
Pupil. How then are they retained in their orbits?
Tutor. The question, I confess, is natural, and is what I expected; but I must of necessity postpone it to another opportunity; and shall now fulfil the promise I made of shewing you in what manner the inferior planets may be seen when in their inferior conjunctions. Cast your eye again on the little design I gave you, and consider, if Venus were in her ascending node at G, when the earth is at b; or, in her descending node, at E, when the earth is at a, what the effect would be.
Pupil. She would be in a line with the sun.
Tutor. And, on the sun’s disc, she would appear a dark round spot, passing over it. These appearances, which are called transits, happen very seldom: because she is very seldom in or near her nodes at her inferior conjunctions. There was one in June 1761, one in June 1769; and the next will be in the year 1874. And as Mercury is seen in the same manner, it is a proof that their orbits must be within that of the earth.
Pupil. I thank you, Sir, and shall be obliged to you to inform me how many constellations the earth pastes over in every revolution?
Tutor. Twelve, which correspond with the months of the year, and are called the twelve signs of the zodiac.
Pupil. What is the zodiac?
Tutor. That part of the heavens which contains the twelve signs, and which you may conceive to be a zone or belt extending eight degrees on each side the ecliptic, in which the planets constantly revolve: so that no planet is ever seen more than eight degrees either north or south, that is above or below the ecliptic.
Pupil. What am I to understand by a degree?
Tutor. All circles, whether great or small, are supposed to be divided into 360 equal parts, called degrees, and each degree into 60 equal parts, called minutes: therefore, if I speak of a circle in the heavens, the circumference of the earth, or any other circle, by a degree is meant the 360th part of that circle; and a minute the 60th part of a degree.
Pupil. What are the names of the twelve signs?
Tutor. The first is called Aries, which you know signifies a Ram; Taurus, the Bull; Gemini, the Twins; Cancer, the Crab; Leo, the Lion; Virgo, the Virgin; Libra, the Balance; Scorpio, the Scorpion; Sagittarius, the Archer; Capricorn, the Goat; Aquarius, the Water-bearer; and Pisces, the Fishes.
Pupil. Do you wish me to commit these to memory, Sir?
Tutor. It is very requisite; but as I know you are fond of verse, you shall hear what Doctor Watts says—
The Ram, the Bull, the heav’nly Twins,
And next the Crab the Lion shines,
The Virgin, and the Scales:
The Scorpion, Archer, and Sea-goat,
The Man that holds the Water-pot,
And Fish with glitt’ring tails.
Pupil. I like it much, as it will assist my memory.
Tutor. As the twelve signs correspond with the months of the year, the earth must pass over nearly one degree every day, one sign every month, and in twelve months complete a whole circle, or 360 degrees; therefore every sign must contain 30 degrees, because 30 multiplied by 12 is equal to 360.
Pupil. It must be so.
Tutor. You must remember, that when the earth is in any sign, as seen from the sun, the sun will be in the opposite sign, as seen from the earth: for instance, if the earth be in Aries, the sun will be in Libra; if in Taurus, the sun will be in Scorpio, &c. therefore, as by the earth’s annual motion, the sun appears to move, we always speak of the sun’s, not the earth’s place, in the ecliptic.—You do not seem to understand me?
Pupil. Not perfectly, Sir.
Tutor. Take this orange, and put it in the middle of the round table before us, and place an apple on the opposite side next the window: the orange may represent the sun, the apple the earth, and the window the sign Aries. Now go round the table to the apple; look at the orange, and tell me to what part of the room the eye will be directed.
Pupil. To the part opposite to the window, Sir.
Tutor. If then you suppose the door, which is opposite to the window, to be the sign Libra, the sun will be in Libra when the earth is in Aries—will it not?
Pupil. It is very plain.
Tutor. I shall now give you a table of the signs, their characters, the corresponding months, and the days of the month the sun enters each sign, by means of which, if you reckon a degree for a day, you may find the sun’s place, nearly, for any day in the year.
Pupil. This will give me much pleasure, and I shall be happy to have it.
THE TABLE.