du nœud est à l’équation séculaire du périgée comme 
est à 
La tangente 
de l’inclinaison de l’orbite lunaire à l’écliptique vraie est pareillement variable, puisqu’elle est égale à ![{\displaystyle \left[{\rm {H}}\left(g-{\frac {d\theta }{dv}}\right)\right]^{-{\frac {1}{2}}}\,;}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5a9ce31777cd59a37e3ea28a31b1cd7da422d11e)
mais il est aisé de voir que sa variation est insensible, et c’est la raison pour laquelle les observations les plus anciennes n’indiquent aucun changement dans cette inclinaison, quoique la position de l’écliptique ait varié sensiblement dans l’intervalle qui nous en sépare.
On aura ensuite les équations suivantes
![{\displaystyle 0=\left[1-(2-2m-g)^{2}\right]{\rm {B}}_{1}^{(0)}-{\frac {3}{4}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2db692e6cab4673cf86d1b4a55350d5efeb3249d)
![{\displaystyle 0=\left[1-(2-2m-g)^{2}\right]{\rm {B}}_{2}^{(1)}+{\frac {3}{2}}m^{2}{\frac {a}{a_{\text{ı}}}}\left({\frac {1-g}{2}}+{\rm {B}}_{2}^{(1)}\right),}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b8c673e16c6a4a0181ca94ae572df299e466ad3e)
![{\displaystyle 0=\left[1-(g+c)^{2}\right]{\rm {B}}_{2}^{(2)}+{\frac {3}{2}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/74b547daeabcf123eed3eae72537d2b67ec804cc)
![{\displaystyle \times \left[{\rm {B}}_{2}^{(2)}-2+(1-m)(3-2m-g){\rm {B}}_{1}^{(0)}\right],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/02c35884b8e96ee98afc01c994522401b303c489)
![{\displaystyle 0=\left[1-(g-c)^{2}\right]{\rm {B}}_{2}^{(3)}+{\frac {3}{2}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a6d29b9319c29a9e40ef552ae9ec5d8a778ff6de)
![{\displaystyle \left[{\rm {B}}_{2}^{(3)}-2-2{\rm {A}}_{1}^{(1)}+(1+m)(3-2m-g){\rm {B}}_{1}^{(0)}\right],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2129429d93190e813867db1067a1251edea87a06)
![{\displaystyle 0=\left[1-(2-2m-g+c)^{2}\right]{\rm {B}}_{2}^{(4)}+{\frac {3}{2}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/13c6a57e7cc83b579fa8c0f27c44b27c97fc282c)
![{\displaystyle \times \left[(1+g)(1-m)-2{\rm {B}}_{1}^{(0)}+{\rm {B}}_{2}^{(4)}\right],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f550f1c76803d506e7a13135d86ae45be9964400)
![{\displaystyle 0=\left[1-(2-2m+g-c)^{2}\right]{\rm {B}}_{2}^{(5)}+{\frac {3}{2}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/214bee7330e1ec0e9739dcd7a4de1df39812ab6a)
![{\displaystyle \times \left[(g-1)(1+m)+{\rm {B}}_{2}^{(5)}-2{\rm {A}}_{1}^{(1)}\right],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7b16bab39fea9c5ba6dfd02413bc472e191d4887)
![{\displaystyle 0=\left[1-(2-2m-g-c)^{2}\right]{\rm {B}}_{2}^{(6)}+{\frac {3}{2}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/87c2522d4cc27f71d04529d0e09ba3fbd2029a75)
![{\displaystyle \times \left[(1+g)(1+m)+{\rm {B}}_{2}^{(6)}+2{\rm {A}}_{1}^{(1)}-2{\rm {B}}_{1}^{(0)}\right],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/aa1e704a7d8569e03c4f92f2c295695e6be315c7)
![{\displaystyle 0=\left[1-(g+m)^{2}\right]{\rm {B}}_{1}^{(7)}+{\frac {3}{4}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/aba1cc7752b4b058d98f338be4c3679c9b0e2e09)
![{\displaystyle \times \left[3+2{\rm {B}}_{1}^{(7)}+{\frac {1}{2}}(3-2m-g){\rm {B}}_{1}^{(0)}-(3-3m-g){\rm {B}}_{1}^{(10)}\right],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/77cbf0d2301b67a50acb106ab492b0ff880d4668)
![{\displaystyle 0=\left[1-(g-m)^{2}\right]{\rm {B}}_{1}^{(8)}+{\frac {3}{4}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7349a62a98334b217ebfb802c050228f2c733b64)
![{\displaystyle \times \left[3+2{\rm {B}}_{1}^{(8)}+{\frac {1}{2}}(3-2m-g){\rm {B}}_{1}^{(0)}-(3-3m-g){\rm {B}}_{1}^{(9)}\right],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d2864370ff0593346f5acad5e244ea0fd09a9e1e)
![{\displaystyle 0=\left[1-(2-m-g)^{2}\right]{\rm {B}}_{1}^{(9)}+{\frac {3}{4}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8f0a1ca7cfa1d3fa70090be76335168682fa9468)
![{\displaystyle \times \left[{\frac {1+g}{2}}+2{\rm {B}}_{1}^{(9)}+3{\rm {B}}_{1}^{(0)}-(1+g-m){\rm {B}}_{1}^{(8)}\right],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f885498949ae9a99b7ccb887068885529e1f2bc1)
![{\displaystyle 0=\left[1-(2-3m-g)^{2}\right]{\rm {B}}_{1}^{(10)}+{\frac {3}{4}}m^{2}{\frac {a}{a_{\text{ı}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/581e8a07a4decb782ff3db4f9fa75bfc192e1ad0)
![{\displaystyle \times \left[2{\rm {B}}_{1}^{(10)}-{\frac {7}{2}}(1+g)+3{\rm {B}}_{1}^{(0)}-(1+g+m){\rm {B}}_{1}^{(7)}\right].}](https://wikimedia.org/api/rest_v1/media/math/render/svg/06a7df275fef3490f60e899b143713201f7d34de)
