les unes sont assez connues des Astronomes, et que les autres ne sont pas assez exactes pour qu’on puisse s’y fier.
LIV.
Équation du premier satellite.
![{\displaystyle {\begin{aligned}&+{\frac {{\text{☾}}_{2}}{\mathbb {Z} \!^{\upsilon }}}\left[-1097^{\text{m}}\sin(u_{2}-u_{1})+144800^{\text{m}}\sin 2(u_{2}-u_{1})\right.\\&\qquad \qquad \qquad \qquad \left.+416^{\text{m}}\sin 3(u_{2}-u_{1})+83^{\text{m}}\sin 4(u_{2}-u_{1})\ldots \right]\\&+{\frac {{\text{☾}}_{3}}{\mathbb {Z} \!^{\upsilon }}}\left[-137^{\text{m}}\sin(u_{3}-u_{1})+119^{\text{m}}\sin 2(u_{3}-u_{1})\right.\\&\qquad \qquad \qquad \qquad \left.+12^{\text{m}}\sin 3(u_{3}-u_{1})-1^{\text{m}}\sin 4(u_{3}-u_{1})\ldots \right]\\&+{\frac {{\text{☾}}_{4}}{\mathbb {Z} \!^{\upsilon }}}\left[-22^{\text{m}}\sin(u_{4}-u_{1})+9^{\text{m}}\sin 2(u_{4}-u_{1})\right.\\&\qquad \qquad \qquad \qquad \left.+0^{\text{m}}\sin 3(u_{4}-u_{1})+0^{\text{m}}\sin 4(u_{4}-u_{1})\ldots \right]\\\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7553d38ac0b805f7cc0d321f64b24a64af906b43)
LV.
Équation du deuxième satellite.
![{\displaystyle {\begin{aligned}&+{\frac {{\text{☾}}_{1}}{\mathbb {Z} \!^{\upsilon }}}\left[91810^{\text{m}}\sin(u_{1}-u_{2})+646^{\text{m}}\sin 2(u_{1}-u_{2})\right.\\&\qquad \qquad \qquad \qquad \left.+121^{\text{m}}\sin 3(u_{1}-u_{2})+3^{\text{m}}\sin 4(u_{1}-u_{2})\ldots \right]\\&+{\frac {{\text{☾}}_{3}}{\mathbb {Z} \!^{\upsilon }}}\left[-2385^{\text{m}}\sin(u_{3}-u_{2})+148383^{\text{m}}\sin 2(u_{3}-u_{2})\right.\\&\qquad \qquad \qquad \qquad \left.+881^{\text{m}}\sin 3(u_{3}-u_{2})+195^{\text{m}}\sin 4(u_{3}-u_{2})\ldots \right]\\&+{\frac {{\text{☾}}_{4}}{\mathbb {Z} \!^{\upsilon }}}\left[-119^{\text{m}}\sin(u_{4}-u_{2})+740^{\text{m}}\sin 2(u_{4}-u_{2})\right.\\&\qquad \qquad \qquad \qquad \left.+12^{\text{m}}\sin 3(u_{4}-u_{2})+4^{\text{m}}\sin 4(u_{4}-u_{2})\ldots \right]\\\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/70ae7cec6c2af45bbc3210cbe5d54e7f685ef507)
LV.
Équation du troisième satellite.
![{\displaystyle {\begin{aligned}&+{\frac {{\text{☾}}_{1}}{\mathbb {Z} \!^{\upsilon }}}\left[-624^{\text{m}}\sin(u_{1}-u_{3})+18^{\text{m}}\sin 2(u_{1}-u_{3})\right.\\&\qquad \qquad \qquad \qquad \left.+4^{\text{m}}\sin 3(u_{1}-u_{3})+0^{\text{m}}\sin 4(u_{1}-u_{3})\ldots \right]\\&+{\frac {{\text{☾}}_{2}}{\mathbb {Z} \!^{\upsilon }}}\left[99075^{\text{m}}\sin(u_{2}-u_{3})+1319s^{\text{m}}\sin 2(u_{2}-u_{3})\right.\\&\qquad \qquad \qquad \qquad \left.+267^{\text{m}}\sin 3(u_{2}-u_{3})+68^{\text{m}}\sin 4(u_{2}-u_{3})\ldots \right]\\&+{\frac {{\text{☾}}_{4}}{\mathbb {Z} \!^{\upsilon }}}\left[-2725^{\text{m}}\sin(u_{4}-u_{3})+7124^{\text{m}}\sin 2(u_{4}-u_{3})\right.\\&\qquad \qquad \qquad \qquad \left.+627^{\text{m}}\sin 3(u_{4}-u_{3})+146^{\text{m}}\sin 4(u_{4}-u_{3})\ldots \right]\\\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e6a7a35b8cd4ecd39eeedffdae54d4b8f9437629)
LV.
Équation du quatrième satellite.
![{\displaystyle {\begin{aligned}&+{\frac {{\text{☾}}_{1}}{\mathbb {Z} \!^{\upsilon }}}\left[-858^{\text{m}}\sin(u_{1}-u_{4})+0^{\text{m}}\sin 2(u_{1}-u_{4})\ldots \right]\\&+{\frac {{\text{☾}}_{2}}{\mathbb {Z} \!^{\upsilon }}}\left[-1362^{\text{m}}\sin(u_{2}-u_{4})+18^{\text{m}}\sin 2(u_{2}-u_{4})\right.\\&\qquad \qquad \qquad \qquad \left.+4^{\text{m}}\sin 3(u_{2}-u_{4})-0^{\text{m}}\sin 4(u_{2}-u_{4})\ldots \right]\\&+{\frac {{\text{☾}}_{3}}{\mathbb {Z} \!^{\upsilon }}}\left[1888^{\text{m}}\sin(u_{3}-u_{4})+496^{\text{m}}\sin 2(u_{3}-u_{4})\right.\\&\qquad \qquad \qquad \qquad \left.+201^{\text{m}}\sin 3(u_{3}-u_{4})+66^{\text{m}}\sin 4(u_{3}-u_{4})\ldots \right]\\\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/dcbe7536e9678ed8fab99be4b7ea8915614ecbae)
