184
OCCULTATION
![{\displaystyle \left.{\begin{aligned}\operatorname {Cos} .\alpha =&-9{,}9995279,\\\operatorname {Cot} .\varepsilon =&-0.8925818\ ;\\\end{aligned}}\right\}\mathrm {d'o{\grave {u}}} \left\{{\begin{aligned}\alpha =&182^{\circ }.40'.24'',\\\varepsilon =&-7\ .17\ .52\ ;\\\end{aligned}}\right.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9d7b0a0011a715e35e3fb01f38f8c5ffbae21f60)
donc encore
![{\displaystyle {\begin{aligned}\operatorname {Cos} .\alpha =-9{,}9995279,&\qquad \operatorname {Cos} .\varepsilon =+9.9964677,\\\operatorname {Sin} .\alpha =-8{,}6687724\,;&\qquad \operatorname {Sin} .\varepsilon =-9.1038930.\\\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1cd8d86caf5197c71cdf1eae40c36a38aa0cae7d)
37. Quant à l’ascension droite de la lune, on trouve
![{\displaystyle {\begin{array}{ll|l|r|l}\mathrm {Le\;11,\;{\grave {a}}\;minuit,} &172^{\circ }.45'.7''=621907''&&&\\\mathrm {Le\;12,\;{\grave {a}}\;midi} &178\ .24\ .42\ =642282&20375''&&\\\mathrm {Le\;12,\;{\grave {a}}\;minuit,} &184\ .\ 5\ .26\ =662726&20444&69''&\\\mathrm {Le\;13,\;{\grave {a}}\;midi,} &189\ .49\ .12\ =683352&20626&182\ \ &113\\\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bd24c8b973412bb1d2589a28a310819f4561b78c)
Et, quant à la déclinaison, on aura
![{\displaystyle {\begin{array}{ll|l|r|l}\mathrm {Le\;11,\;{\grave {a}}\;minuit,} &+5^{\circ }.56=21360''&&&\\\mathrm {Le\;12,\;{\grave {a}}\;midi,} &+2\,\ .55=10500&-10860''&&\\\mathrm {Le\;12,\;{\grave {a}}\;minuit,} &-0\,\ .\ \,8=\ \ \ 480&-10980&-120''&\\\mathrm {Le\;13,\;{\grave {a}}\;midi,} &-3\,\ .14=11640&-11160&-180''&-60''\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3dc2fda1ee354bddb012b32b9eb54dd2a257693b)
Il en résulte
![{\displaystyle {\begin{array}{rr}\gamma =&5^{s}+81907''+20378''t-22''t^{2}+19''t^{3},\\\gamma =&21360''-10820''t-30''t^{2}-10''t^{3}\\\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/54952f0fb9ce05b80e8c1b669875ce63a6b5fc8d)
Dans les deux formules, le temps est compté depuis le 11 à minuit ; et l’unité de temps est la durée d’un demi-jour solaire.