281

Table XVIII exhibits also the height to which one must ascend in order to have the monthly mean temperature lowered one degree. The figures have been obtained from the data in Table II. Of course the fall of temperature within some ten or twenty feet of the ground is much greater especially on a hot day, but the effect of this is eliminated by observing the temperature at the same height above ground at both the upper and the lower station. The results obtained for each month during the past three years are exhibited below. The results for 1884 have been re-computed by aid of the true air-temperatures given above. It is seen that the height varies from about 200 to about 700 feet, but of course the results in individual instances vary to a somewhat greater extent, and this must often make the true astronomical refraction different from that obtained from the tables, Moreover the temperatures adopted in the construction of the tables may have been very different from the true air-temperatures and when subsequently these tables are used in other places to clear the observations from the effects of refraction, it is very doubtful whether the thermometers are exposed in exactly the same way as where the tables were constructed and even so the process is not strictly accurate if the true air-temperature is not exactly determined. It would therefore be of importance to have the rotating thermometer introduced in astronomical observatories. This instrument is particularly well adapted for occasionally determining the temperature during the night. No account is taken of the effect of the barometric gradient in the neighbourhood, which tends to make the value of the re- fraction different in different azimuths. The rates at which the temperature falls with increasing height in a cyclone and in an anticyclone are different. For these reasons the refraction is one of the most uncertain elements in practical astronomy.

1884.

1885.

1886.

Mean.

January,

.280

224

299

268

February,

289

251

294

278

March,

.533

397

656

529

April,

.437

416

406

420

May,

..341

275

294

303

June,

271

275

258

268

July,..........

...........251

294

267

271

August,

..255

328

280

288

September,

......262

310

280

284

October,

.....258

294

280

277

November, ....

..271

284

234

263

December,

..258

322

222

267

Mean,

...309

306

314

310

The speed with which the temperature falls on ascending in the atmosphere is seen to be a function of the humidity. The change is much smaller in damp than in dry weather.

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