W. & A. K. Johnston, Edinbr. and London.

DIAGRAM REPRESENTING THE VARIATIONS IN THE ECCENTRICITY OF THE EARTH’S ORBIT FOR THREE MILLION OF YEARS BEFORE 1800 A.D. ONE MILLION OF YEARS AFTER IT.
The Ordinates are joined by straight lines where the values, at intervals of 10,000 years, between them have not been determined.

In this Table there are seven periods when the earth’s orbit becomes nearly circular, four in the past and three in the future.

The Table shows also four or five subordinate periods of high eccentricity, the principal one occurring 200,000 years ago.

The variations of eccentricity during the four millions of years, are represented to the eye diagrammatically in [Plate IV.]

In order to determine with more accuracy the condition of the earth’s orbit during the three periods of great eccentricity included in Table I., I computed the values for periods of ten thousand years apart, and the results are embodied in Tables II., III., and IV.

There are still eminent astronomers and physicists who are of opinion that the climate of the globe never could have been seriously affected by changes in the eccentricity of its orbit. This opinion results, no doubt, from viewing the question as a purely astronomical one. Viewed from an astronomical standpoint, as has been already remarked, there is actually nothing from which any one could reasonably conclude with certainty whether a change of eccentricity would seriously affect climate or not. By means of astronomy we ascertain the extent of the eccentricity at any given period, how much the winter may exceed the summer in length (or the reverse), how much the sun’s heat is increased or decreased by a decrease or an increase of distance, and so forth; but we obtain no information whatever regarding how these will actually affect climate. This, as we have already seen, must be determined wholly from physical considerations, and it is an exceedingly complicated problem. An astronomer, unless he has given special attention to the physics of the question, is just as apt to come to a wrong conclusion as any one else. The question involves certain astronomical elements; but when these are determined everything then connected with the matter is purely physical. Nearly all the astronomical elements of the question are comprehended in the accompanying Tables.

TABLE I.

The Eccentricity and Longitude of the Perihelion of the Earth’s Orbit for 3,000,000 Years in the Past and 1,000,000 Years in the Future, computed for Intervals of 50,000 Years.

PAST TIME.
Number of years
before epoch 1800.
Eccentricity.Longitude of
perihelion.

° ′

−3,000,000

0·0365

39 30

−2,950,000

0·0170

210 39

−2,900,000

0·0442

200 52

−2,850,000

0·0416

0 18

−2,800,000

0·0352

339 14

−2,750,000

0·0326

161 22

−2,700,000

0·0330

65 37

−2,650,000

0·0053

318 40

−2,600,000

0·0660

190 4

−2,550,000

0·0167

298 34

−2,500,000

0·0721

338 36

−2,450,000

0·0252

109 33

−2,400,000

0·0415

116 40

−2,350,000

0·0281

308 23

−2,300,000

0·0238

195 25

−2,250,000

0·0328

141 18

−2,200,000

0·0352

307 6

−2,150,000

0·0183

307 5

−2,100,000

0·0304

98 40

−2,050,000

0·0170

334 46

−2,000,000

0·0138

324 4

−1,950,000

0·0427

120 32

−1,900,000

0·0336

188 31

−1,850,000

0·0503

272 14

−1,800,000

0·0334

354 52

−1,750,000

0·0350

65 25

−1,700,000

0·0085

95 13

−1,650,000

0·0035

168 23

−1,600,000

0·0305

158 42

−1,550,000

0·0239

225 57

−1,500,000

0·0430

303 29

−1,450,000

0·0195

57 11

−1,400,000

0·0315

97 35

−1,350,000

0·0322

293 38

−1,300,000

0·0022

0 48

−1,250,000

0·0475

105 50

−1,200,000

0·0289

239 34

−1,150,000

0·0473

250 27

−1,100,000

0·0311

55 24

−1,050,000

0·0326

4 8

−1,000,000

0·0151

248 22

− 950,000

0·0517

97 51

− 900,000

0·0102

135 2

− 850,000

0·0747

239 28

− 800,000

0·0132

343 49

− 750,000

0·0575

27 18

− 700,000

0·0220

208 13

− 650,000

0·0226

141 29

− 600,000

0·0417

32 34

− 550,000

0·0166

251 50

− 500,000

0·0388

193 56

− 450,000

0·0308

356 52

− 400,000

0·0170

290 7

− 350,000

0·0195

182 50

− 300,000

0·0424

23 29

− 250,000

0·0258

59 39

− 200,000

0·0569

168 18

− 150,000

0·0332

242 56

− 100,000

0·0473

316 18

− 50,000

0·0131

50 14

FUTURE TIME.
Number of years
after epoch 1800.
Eccentricity.Longitude of
perihelion.

° ′

a.d 1800

0·0168

99 30

+ 50,000

0·0173

38 12

+ 100,000

0·0191

114 50

+ 150,000

0·0353

201 57

+ 200,000

0·0246

279 41

+ 250,000

0·0286

350 54

+ 300,000

0·0158

172 29

+ 350,000

0·0098

201 40

+ 400,000

0·0429

6 9

+ 450,000

0·0231

98 37

+ 500,000

0·0534

157 26

+ 550,000

0·0259

287 31

+ 600,000

0·0395

285 43

+ 650,000

0·0169

144 3

+ 700,000

0·0357

17 12

+ 750,000

0·0195

0 53

+ 800,000

0·0639

140 38

+ 850,000

0·0144

176 41

+ 900,000

0·0659

291 16

+ 950,000

0·0086

115 13

+1,000,000

0·0528

57 31