He worked very hard indeed, and his work soon brought him comfort and comparative wealth. Besides his chapel services, and his later engagement in the orchestra of the Assembly Rooms, he had often as many as thirty-eight private pupils in music every week; and he also composed a few pieces, which were published in London with some modest success. Still, in spite of all these numerous occupations, the eager young German found a little leisure time to devote to self-education; so much so that, after a fatiguing day of fourteen or sixteen hours spent in playing the organ and teaching, he would "unbend his mind" by studying the higher mathematics, or give himself a lesson in Greek and Italian. At the same time; he was also working away at a line of study, seemingly useless to him, but in which he was afterwards to earn so great and deserved a reputation. Among the books he read during this Bath period were Smith's "Optics" and Lalande's "Astronomy." Throughout all his own later writings, the influence of these two books, thoroughly mastered by constant study in the intervals of his Bath music lessons, makes itself everywhere distinctly felt.

Meanwhile, the family at Hanover had not been flourishing quite so greatly as the son William was evidently doing in wealthy England. During all those years, the young man had never forgotten to keep up a close correspondence with his people in Germany. Already, in 1764, during his Yorkshire days, William Herschel had managed out of his Savings as an oboe-player to make a short trip to his old home; and his sister Carolina, afterwards his chief assistant in his astronomical labours, notes with pleasure the delight she felt in having her beloved brother with her once more, though she, poor girl, being cook to the household apparently, could only enjoy his society when she was not employed "in the drudgery of the scullery." A year later, when William had returned to England again, and had just received his appointment as organist at Halifax, his father, Isaac, had a stroke of paralysis which ended his violin-playing for ever, and forced him to rely thenceforth upon copying music for a precarious livelihood. In 1767 he died, and poor Carolina saw before her in prospect nothing but a life of that domestic drudgery which she so disliked. "I could not bear the idea of being turned into a housemaid," she says; and she thought that if only she could take a few lessons in music and fancy work she might get "a place as governess in some family where the want of a knowledge of French would be no objection." But, unhappily, good dame Herschel, like many other uneducated and narrow-minded persons, had a strange dread of too much knowledge. She thought that "nothing further was needed," says Carolina, "than to send me two or three months to a sempstress to be taught to make household linen; so all that my father could do was to indulge me sometimes with a short lesson on the violin when my mother was either in good humour or out of the way. It was her certain belief that my brother William would have returned to his country, and my eldest brother would not have looked so high, if they had had a little less learning." Poor, purblind, well-meaning, obstructive old dame Herschel! what a boon to the world that children like yours are sometimes seized with this incomprehensible fancy for "looking too high"!

Nevertheless, Carolina managed by rising early to take a few lessons at daybreak from a young woman whose parents lived in the same cottage with hers; and so she got through a little work before the regular daily business of the family began at seven. Imagine her delight then, just as the difficulties after her father's death are making that housemaid's place seem almost inevitable, when she gets a letter from William at Bath, asking her to come over to England and join him at that gay and fashionable city. He would try to prepare her for singing at his concerts; but if after two years' trial she didn't succeed, he would take her back again to Hanover himself. In 1772, indeed, William in person came over to fetch her, and thenceforth the brother and sister worked unceasingly together in all their undertakings to the day of the great astronomer's death.

About this time Herschel had been reading Ferguson's "Astronomy," and felt very desirous of seeing for himself the objects in the heavens, invisible to the naked eye, of which he there found descriptions. For this purpose he must of course have a telescope. But how to obtain one? that was the question. There was a small two-and-a-half foot instrument on hire at one of the shops at Bath; and the ambitious organist borrowed this poor little glass for a time, not merely to look through, but to use as a model for constructing one on his own account. Buying was impossible, of course, for telescopes cost much money: but making would not be difficult for a determined mind. He had always been of a mechanical turn, and he was now fired with a desire to build himself a telescope eighteen or twenty feet long. He sent to London for the lenses, which could not be bought at Bath; and Carolina amused herself by making a pasteboard tube to fit them in her leisure hours. It was long before he reached twenty feet, indeed: his first effort was a seven-foot, attained only "after many continuous determined trials." The amateur pasteboard frame did not fully answer Herschel's expectations, so he was obliged to go in grudgingly for the expense of a tin tube. The reflecting mirror which he ought to have had proved too dear for his still slender purse, and he thus had to forego it with much regret. But he found a man at Bath who had once been in the mirror-polishing line; and he bought from him for a bargain all his rubbish of patterns, tools, unfinished mirrors and so forth, with which he proceeded to experiment on the manufacture of a proper telescope. In the summer, when the season was over, and all the great people had left Bath, the house, as Carolina says ruefully, "was turned into a workshop." William's younger brother Alexander was busy putting up a big lathe in a bedroom, grinding glasses and turning eyepieces; while in the drawing-room itself, sacred to William's aristocratic pupils, a carpenter, sad to relate, was engaged in making a tube and putting up stands for the future telescopes. Sad goings on, indeed, in the family of a respectable music-master and organist! Many a good solid shopkeeper in Bath must no doubt have shaken his grey head solemnly as he passed the door, and muttered to himself that that young German singer fellow was clearly going on the road to ruin with his foolish good-for-nothing star-gazing.

In 1774, when William Herschel was thirty six, he had at last constructed himself a seven-foot telescope, and began for the first time in his life to view the heavens in a systematic manner. From this he advanced to a ten-foot, and then to one of twenty, for he meant to see stars that no astronomer had ever yet dreamt of beholding. It was comparatively late in life to begin, but Herschel had laid a solid foundation already and he was enabled therefore to do an immense deal in the second half of those threescore years and ten which are the allotted average life of man, but which he himself really overstepped by fourteen winters. As he said long afterwards with his modest manner to the poet Campbell, "I have looked further into space than ever human being did before me. I have observed stars of which the light, it can be proved, must take two millions of years to reach this earth." That would have been a grand thing for any man to be able truthfully to say under any circumstances: it was a marvellous thing for a man who had laboured under all the original disadvantages of Herschel—a man who began life as a penniless German bandsman, and up to the age of thirty-six had never even looked through a telescope.

At this time, Herschel was engaged in playing the harpsichord in the orchestra of the theatre; and it was during the interval between the acts that he made his first general survey of the heavens. The moment his part was finished, he would rush out to gaze through his telescope; and in these short periods he managed to observe all the visible stars of what are called the first, second, third, and fourth magnitudes. Henceforth he went on building telescope after telescope, each one better than the last; and now all his glasses were ground and polished either by his own hand or by his brother Alexander's. Carolina meanwhile took her part in the workshop; but as she had also to sing at the oratorios, and her awkward German manners might shock the sensitive nerves of the Bath aristocrats, she took two lessons a week for a whole twelvemonth (she tells us in her delightfully straightforward fashion) "from Miss Fleming, the celebrated dancing mistress, to drill me for a gentlewoman." Poor Carolina, there she was mistaken: Miss Fleming could make her into no gentlewoman, for she was born one already, and nothing proves it more than the perfect absence of false shame with which in her memoirs she tells us all these graphic little details of their early humble days.

While they were thus working at Bath an incident occurred which is worth mentioning because it shows the very different directions in which the presence or the want of steady persistence may lead the various members of the very self-same family. William received a letter from his widowed mother at Hanover to say, in deep distress, that Dietrich, the youngest brother, had run away from home, it was supposed for the purpose of going to India, "with a young idler no older than himself." Forthwith, the budding astronomer left the lathe where he was busy turning an eye-piece from a cocoa-nut shell, and, like a good son and brother as he always was, hurried off to Holland and thence to Hanover. No Dietrich was anywhere to be found. But while he was away, Carolina at Bath received a letter from Dietrich himself, to tell her ruefully he was "laid up very ill" at a waterside tavern in Wapping—not the nicest or most savoury East End sailor-suburb of London. Alexander immediately took the coach to town, put the prodigal into a decent lodging, nursed him carefully for a fortnight, and then took him down with him in triumph to the family home at Bath. There brother William found him safe and sound on his return, under the sisterly care of good Carolina. A pretty dance he had led the two earnest and industrious astronomers; but they seem always to have treated this black sheep of the family with uniform kindness, and long afterwards Sir William remembered him favourably in his last will.

In 1779 and the succeeding years the three Herschels were engaged during all their spare time in measuring the heights of about one hundred mountains in the moon, which William gauged by three different methods. In the same year, he made an acquaintance of some importance to him, as forming his first introduction to the wider world of science in London and elsewhere. Dr. Watson, a Fellow of the Royal Society, happened, to see him working at his telescope; and this led to a visit from the electrician to the amateur astronomer. Dr. Watson was just then engaged in getting up a Philosophical Society at Bath (a far rarer institution at that time in a provincial town than now), and he invited William Herschel to join it. Here Herschel learned for the first time to mix with those who were more nearly his intellectual equals, and to measure his strength against other men's.

It was in 1781 that Herschel made the great discovery which immediately established his fame as an astronomer, and enabled him to turn from conducting concerts to the far higher work of professionally observing the stars. On the night of Tuesday, March 13th, Herschel was engaged in his usual systematic survey of the sky, a bit at a time, when his telescope lighted among a group of small fixed stars upon what he at first imagined to be a new comet. It proved to be no comet, however, but a true planet—a veritable world, revolving like our own in a nearly circular path around the sun as centre, though far more remote from it than the most distant planet then known, Saturn. Herschel called his new world the Georgium Sidus (King George's star) in honour of the reigning monarch; but it has since been known as Uranus. Astronomers all over Europe were soon apprised of this wonderful discovery, and the path of the freshly found planet was computed by calculation, its distance from the sun being settled at nineteen times that of our own earth.

In order faintly to understand the importance attached at the time to Herschel's observation of this very remote and seemingly petty world, we must remember that up to that date all the planets which circle round our own sun had been familiarly known to everybody from time immemorial. To suggest that there was yet another world belonging to our system outside the path of the furthest known planet would have seemed to most people like pure folly. Since then, we have grown quite accustomed to the discovery of a fresh small world or two every year, and we have even had another large planet (Neptune), still more remote than Herschel's Uranus, added to the list of known orbs in our own solar system. But in Herschel's day, nobody had ever heard of a new planet being discovered since the beginning of all things. A hundred years before, an Italian astronomer, it is true, had found out four small moons revolving round Saturn, besides the big moon then already known; but for a whole century, everybody believed that the solar system was now quite fully explored, and that nothing fresh could be discovered about it. Hence Herschel's observation produced a very different effect from, say, the discovery of the two moons which revolve round Mars, in our own day. Even people who felt no interest in astronomy were aroused to attention. Mr. Herschel's new planet became the talk of the town and the subject of much admiring discussion in the London newspapers. Strange, indeed, that an amateur astronomer of Bath, a mere German music-master, should have hit upon a planet which escaped the sight even of the king's own Astronomer Royal at Greenwich.