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The photographic news
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- 35.1891
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- 1891
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Zeitschrift
The photographic news
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Band
Band 35.1891
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- Ausgabe No. 1687, January 2, 1891 1
- Ausgabe No. 1688, January 9, 1891 17
- Ausgabe No. 1689, January 16, 1891 37
- Ausgabe No. 1690, January 23, 1891 57
- Ausgabe No. 1691, January 30, 1891 77
- Ausgabe No. 1692, February 6, 1891 97
- Ausgabe No. 1693, February 13, 1891 117
- Ausgabe No. 1694, February 20, 1891 137
- Ausgabe No. 1695, February 27, 1891 157
- Ausgabe No. 1696, March 6, 1891 177
- Ausgabe No. 1697, March 13, 1891 197
- Ausgabe No. 1698, March 20, 1891 217
- Ausgabe No. 1699, March 27, 1891 237
- Ausgabe No. 1700, April 3, 1891 257
- Ausgabe No. 1701, April 10, 1891 277
- Ausgabe No. 1702, April 17, 1891 -
- Ausgabe No. 1703, April 24, 1891 313
- Ausgabe No. 1704, May 1, 1891 329
- Ausgabe No. 1705, May 8, 1891 345
- Ausgabe No. 1706, May 15, 1891 361
- Ausgabe No. 1707, May 22, 1891 377
- Ausgabe No. 1708, May 29, 1891 393
- Ausgabe No. 1709, June 5, 1891 409
- Ausgabe No. 1710, June 12, 1891 425
- Ausgabe No. 1711, June 19, 1891 441
- Ausgabe No. 1712, June 26, 1891 457
- Ausgabe No. 1713, July 3, 1891 473
- Ausgabe No. 1714, July 10, 1891 489
- Ausgabe No. 1715, July 17, 1891 505
- Ausgabe No. 1716, July 24, 1891 521
- Ausgabe No. 1717, July 31, 1891 537
- Ausgabe No. 1718, August 7, 1891 553
- Ausgabe No. 1719, August 14, 1891 569
- Ausgabe No. 1720, August 21, 1891 585
- Ausgabe No. 1721, August 28, 1891 601
- Ausgabe No. 1722, September 4, 1891 617
- Ausgabe No. 1723, September 11, 1891 633
- Ausgabe No. 1724, September 18, 1891 649
- Ausgabe No. 1725, September 25, 1891 665
- Ausgabe No. 1726, October 2, 1891 681
- Ausgabe No. 1726, October 9, 1891 697
- Ausgabe No. 1728, October 16, 1891 713
- Ausgabe No. 1729, October 23, 1891 729
- Ausgabe No. 1730, October 30, 1891 745
- Ausgabe No. 1731, November 6, 1891 761
- Ausgabe No. 1732, November 13, 1891 777
- Ausgabe No. 1733, November 20, 1891 793
- Ausgabe No. 1734, November 27, 1891 809
- Ausgabe No. 1735, December 4, 1891 825
- Ausgabe No. 1736, December 11, 1891 841
- Ausgabe No. 1737, December 18, 1891 857
- Ausgabe No. 1738, December 25, 1891 873
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718 THE PHOTOGRAPHIC NEWS. [October 16, 1891. PHOTOGRAPHIC MAGNITUDES OF STARS. The character of the image of a star photographed on a sensitised film ; the relation between the intensity of the fight photographed, and the blackened disk produced ; the influence of the time of exposure on the image—are ques tions now receiving much attention. For this reason, Dr. Scheiner’s contribution to the subject, embracing, as it does, the latest results of the Potsdam Observatory, is especially welcome ; but these results will not be accepted without great reserve, contravening, as they do, a theory, or at least an assertion, that has been very generally accepted, viz., that increasing the intensity of light is exactly equivalent to increasing the time of photographic exposure. A consequence of such a law would be that an additional magnitude would be impressed on the film by increasing the time of exposure two and a half times the length. Such a law cannot be rigorously exact, and its stoutest supporters have been careful to confine its application “ within limits.” But Dr. Scheiner’s contention is that, owing to the complex character of the disk produced on the film, such a principle is a very unsafe guide, either as a rule for the determination of the feeblest magnitude impressed on the negative, or as offering a satisfactory explanation of the growth of the diameter or area. In the first place, there is evidence of want of uniformity of actinic action throughout the whole extent of the stellar disk. A mean intensity (i) may be assumed at a certain distance (r) from the centre of the image, where the intensity is I. The centre will not be a geometrical point, but, owing to atmospheric and other disturbances, will occupy a small area of radius (). The intensity (i) at distance (r) will depend materially on the increase of the area (), which may be represented by vp). Consequently, the simplest expresssion for i = Iv(p)e", where a is the coefficient of absorption of the sensitive film. On com paring two stellar disks, formed on the same emulsion, and treated by the same developer, this expression becomes— t _ I,Vp,),a(r;—, ro), b Io (Po) and, if the disks be on the same plate, Pl = Po and q = t„, so that the formula can be simplified to— , 110-4, \ a(ro—") = log- i = d (m, — ma) lo mod. In order to derive the relation between diameters and exposure, put I = I, and then— log. to = a(r, — r 0 ). It is not likely that such an expression has any other value than to serve as a convenient formula for interpola tion. The variable character of a under different con ¬ ditions, but always depending on the time of exposure, is Another well-known formula in which magnitude is made shown by the following table :— Exposure, m. s. Instrument. a. Instrument. a. 1 0 ... Reflector 4-99 ... 5-in. refractor 4'12 2 0 ... 4-57 5-09 4 0 ... 4-67 5-47 8 0 ... 4-89 • •• a 5'89 16 0 ... 5'39 • •• 33 7-51 0 24 ... 13-in. refractor 3-18 ... 13-in. refractor 2-67 1 0 ... 3-16 2-20 2 30 ... 3-33 2-48 6 15 ... 3-33 3-00 15 38 ... 33 4-48 ••• 33 — to depend on diameter is m — a - b log. D, and in this case b is shown, notwithstanding Dr. Charlier’s results to the contrary, to be a function of the time of exposure. The results are as follows :— Time of b Time of b exposure. Charlier. exposure. Scheiner. h. m. m. s. 0 13 6-719 0 24 5-17 1 30 6-779 10 6-35 2 0 6-683 2 30 7-06 3 0 6-814 6 15 8-08 The disagreement is conspicuous, but the explanation offered by Dr. Scheiner is scarcely satisfactory. He would ascribe the constancy in the value of b, found by Dr. Charlier, to the fact that in his experiments there is always a large absolute value of the time coefficient. It will, however, be observed that the ratio between Dr. Charlier’s extreme exposures is not greatly different from that which obtains in Dr. Scheiner’s experiments. If it be admitted that the product of intensity by the time is not a constant quantity, it becomes a matter of great practical importance to determine what is gained on a photographic plate by prolonged exposure. This question forms the real investigation of Dr. Scheiner’s two papers, and though some of his results may be questioned, yet the general issue is so grave and disquiet ing that it may not be utterly ignored. Passing over the details of his method of examination, and the precautions taken to ensure accurate results, for which the reputation of the Potsdam Observatory is a sufficient guarantee, Dr. Scheiner presents the following table, in which is exhibited the faintest magnitude which, under certain varied circumstances, can be detected on a photographic plate :— Time of exposure. Faintest Magnitude. m. s. Plate I. Plate II. Plate IIf. Plate IV. 0 24 . .. 9-0 ... 6-4 ... 7-7 ... 8'2 1 0 ... 9-4 ... 7-25 ... 8-3 ... 8-75 2 30 . .. 9-9 ... 7-7 ... 8-55 ... 9-3 6 15 . .. 10-6 ... 8-45 ... 9-3 ... 9-65 15 38 ... — ... 8-85 ... 9-7 — It will be noticed that, while each successive exposure is 2-5 that of the preceding, the corresponding gain in light is considerably less than one magnitude. From each of the four plates the gain is as follows : — Gain in mag. Plate 1 0-53 „ II 0-61 „ III 0-50 „ IV. 0.48 The mean is 0-53—that is to say, instead of one mag nitude being gained by continued exposure through each successive interval, the actual gain is only half a magni tude. The exception that might be taken to these ex periments is, that the detection of the feeblest stars on a plate is a matter of doubt and great practical difficulty. Dr. Scheiner has, however, availed himself of a second test by counting the stars on a plate after various exposures. With this view two plates were taken of the region round e Orionis, one with an exposure of one hour, the other with eight hours’ exposure. Therefore, if 2’5 times the exposure produced stars a magnitude fainter, there ought to be a gain of more than two magnitudes on the second plate, and it may be assumed that the number of stars impressed would follow the known law. On the one-hour plate were found 1,174 stars, on the eight-hour 5,689.
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