P E T E R s 



Si ut supra dictum cst^ perturbationes ascensionis recfae polaris sunt 

 proportionales quantitati t' — t, unaquaeque ascensio recta observata eget 

 correctione formae s [t' — t). 



In priore disquisitione aequationes conditionalcs habebant formam : 

 — a X -\- b y e z y -\- w n: 

 si jam perturbationem respicimus nostram, n transit in n — s {t' — t), et x, y, z, 

 i^, xv transeunt inoc, , y,, z, , v^, w^, unde nova exoritur forma aequationum: 

 ^ — a x,-\- b y, -\- c z, 1^ A- -\- n — s [t' — t) 

 — ax,-\-by, -\-cz, ± v, -f - iv, -\-n— 0,305 s 



— 2,4-30 5 SinO+ 3,574 5GosO+ 0,039 ^ Sin 20-f 0,326 i'Cos20. 

 Substitutis jam loco b et c valoribus: 



b — — Sec 8 (GosOGos a Gos^ -j- SinOSince) 

 et c— Sec 5 (Sin oGos « Gos<9 — GosOSina), 

 prodit aequatio: 



a~ax^ -\- (Gos a Gos ô Sec 5 . z, — Sin a Sec d.y^ — 2,4-30 s) Sin O 

 — (Sin a Sec 8 .z^ -\- Gos a Cosô Sec ô.y^ — 3,574- s) GosQ 



_ 0,305 s + 0,039 5 Sin 20+ 0,326 ^ Gos 2© ± '>\ -f- n. 

 Si jam ponimus: y^ ~y-\-dy, 



z, —z-\-8z, 



—■iV-\- 8 TV, 



si porro 8y, 8z, 8w ita evolvimus, ut satisfaciant aequationibus tribus; 

 Gos a Gos 6 Sec 8.8 z — Sin a Sec 8 .8 y — 2,4-30 5 „ 0, 

 Sin a Sec 5 . 5 z -4~ Gos a Gos 6 Sec 5 5 j — 3,574- ^ ~ 0, 

 5tv~ 0,305 0, 



prodit aequatio haec: 



0 ~ û X, -j- (Gos a Gos<9 Sec 8 z ~ Sin « Sec 8. y) SinO 

 (Sin « Sec 8.z-\- Gos « Gos ô Sec 5 . j) Gos O 

 -f îv -I- 0,039 s Sin 20+ 0,326 ^ Gos 20:±- î^, + n 

 — ax,-^bY^cz±v, J^w-^n^ 0,039 i Sin20-f 0,326 .y Gos20. 



