375
MÉTHODE D’OLBERS.
![{\displaystyle r=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/393a2f33573f9dc329c1efb8987d3e49242a3e26) |
0,35631 |
|
![{\displaystyle {\tfrac {1}{2}}\log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ed3b1a501c5d5242ca68840becf453100e5616fa) |
1,551834
|
![{\displaystyle r''^{2}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3c731bc35e4ab44067bfeadc74d601564740673a) |
1,03372
|
![{\displaystyle +}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fe6ef363cd19902d1a7a71fb1c8b21e8ede52406) |
0,71429
|
![{\displaystyle -}](https://wikimedia.org/api/rest_v1/media/math/render/svg/04bd52ce670743d3b61bec928a7ec9f47309eb36) |
1,59807
|
![{\displaystyle r''^{2}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3c731bc35e4ab44067bfeadc74d601564740673a) |
0,14994 |
|
![{\displaystyle \log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/26609eca5f0b310567362b9c64a585b62b014cd4) |
1,175918
|
![{\displaystyle r''=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f619fb3d2176d5c172115df60a1239bd130a75b3) |
0,38722 |
|
![{\displaystyle {\tfrac {1}{2}}\log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ed3b1a501c5d5242ca68840becf453100e5616fa) |
1,587959
|
![{\displaystyle r=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/393a2f33573f9dc329c1efb8987d3e49242a3e26) |
0,35631
|
![{\displaystyle r+r''=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f05895dd5c3d6e80662fa0f5fa802b687d304e5f) |
0,74353
|
![{\displaystyle {\tfrac {1}{2}}(r+r'')=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/71da2528a6171d812f1f164bd0817ebb097a636b) |
0,37176
|
![{\displaystyle \mathrm {K} ''^{2}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2d524060734eae55cfae4db01aad53d1b96ea72e) |
0,00711
|
![{\displaystyle +}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fe6ef363cd19902d1a7a71fb1c8b21e8ede52406) |
0,06878
|
![{\displaystyle -}](https://wikimedia.org/api/rest_v1/media/math/render/svg/04bd52ce670743d3b61bec928a7ec9f47309eb36) |
0,02120
|
![{\displaystyle \mathrm {K} ''^{2}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2d524060734eae55cfae4db01aad53d1b96ea72e) |
0,05469 |
|
![{\displaystyle \log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/26609eca5f0b310567362b9c64a585b62b014cd4) |
2,737908
|
![{\displaystyle \mathrm {K} ''=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2d5e4955b9e53380ac7d1aa9a95ac7c34c9d412d) |
0,23385 |
|
![{\displaystyle {\tfrac {1}{2}}\log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ed3b1a501c5d5242ca68840becf453100e5616fa) |
1,368954
|
![{\displaystyle {\tfrac {1}{2}}\mathrm {K} ''=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5f3c6d8a4bafef416c6f41e75e5d9ec9a0b16b89) |
0,11692
|
![{\displaystyle {\frac {r+r''+\mathrm {K} ''}{2}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7bbc1ecf689ce70ac448557d9b849791e523cfe0) |
0,48868
|
![{\displaystyle {\frac {r+r''\!-\mathrm {K} ''}{2}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/854436dbd5347cc1790e5b063490a04c02adf341) |
0,25484
|
27j,40385![{\displaystyle \;\log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/698e804fc2056518b581ac7fba3d37e22cc66c25) |
1,4378116 |
|
![{\displaystyle \log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/26609eca5f0b310567362b9c64a585b62b014cd4) |
1,4378116
|
0,48868![{\displaystyle \;\log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/698e804fc2056518b581ac7fba3d37e22cc66c25) |
1,6890240 |
|
0,25484![{\displaystyle \;\log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/698e804fc2056518b581ac7fba3d37e22cc66c25) |
1,4062670
|
![{\displaystyle {\tfrac {1}{2}}\log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ed3b1a501c5d5242ca68840becf453100e5616fa) |
1,8445120 |
|
![{\displaystyle {\tfrac {1}{2}}\log =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ed3b1a501c5d5242ca68840becf453100e5616fa) |
1,7031335
|
1er terme ![{\displaystyle =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/505a4ceef454c69dffd23792c84b90f488543743) |
0,9713476 |
|
2e terme ![{\displaystyle =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/505a4ceef454c69dffd23792c84b90f488543743) |
0,5472121
|
1er terme ![{\displaystyle =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/505a4ceef454c69dffd23792c84b90f488543743) |
9,3615
|
2e terme ![{\displaystyle =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/505a4ceef454c69dffd23792c84b90f488543743) |
3,5254
|
d’où |
![{\displaystyle \mathrm {T} ''\!-\mathrm {T} =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/54a49dd2f970a584ac45ec663a9535417081935e) |
5j,8361
|
En faisant
nous trouvons donc pour
une valeur trop
forte.
En essayant
en suivant la même marche, sauf que
nous avons, dans chaque équation, à calculer par logarithmes les
expressions de la forme
et
![{\displaystyle \mathrm {D} \rho ^{2},}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b97e0d0da0e8b157d72d0b676e64789f9d8212ec)
nous trouvons
valeur trop petite. Puisque
est
compris entre
et
nous essayerons
nous trouvons
![{\displaystyle \mathrm {T} ''\!-\mathrm {T} =5,05631.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/86d96267187794cca117ab12466bbcd66022c6c6)
La véritable valeur de
est donc comprise entre 0,800 et 0,850.