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Theoria motvs corporvm coelestivm in sectionibvs conicis solem ambientivm
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8o

Libr. I. Sect. II.

Erat in exemplo nostro, art. i4, log ~~ == 9 ,<)o 355 == log

Cif X (i Cf

aa

log a.

log..

D rr

.0,19290

logtangT?..

.,.g,4o52o

log COS cp .

.9,98652

log sin e.

..g,84q5i n

/ dv \

/ dr \

l °S\dM )

.0,17942

lo s(.d3r)

...9,67495 n

2 e cos E

= i,8oo85

l°g«.

ee

= 0,06018

log cos cp....

.. q,q8652

1,74067

log cos V....

log.

/ d r \

c. a

log (dW

..o ,25858 n

log..

s> rr

.0,19290

log sin E. .

.9,76654 n

.°? 1 999 6 »

Hinc colligitur

dv = + J, 51154 d M 1,58475 dtpd r o,475io d M 1,81076 d cp + o,8oo85 daquibus yaloribns in formulis praecedentibus substitutis , proditd/ = + 2,41287 d M3,00527 d cp -f o,i6488da + 1,66075 d/Zo,r 1102 d/ + o,o4585d££db 0,66595 dM-\- 0,6ia48 dcp f 0,02972 da0,42895 d/Z0,47555 di+o,58o5od&

Si tempus cui locus computatus respondet n diebus ab epocha distare sup-ponitur, longitudoque media pro epocha per N, motus diurnus per 7 denotaturerit M N+n 7 ZZ, adeoque dM= dN + nd 7d/Z. In exemplo nostro tem-pus Joco computato respondens est Octobris dies 17,41507 anni i8o4 sub meridianoParisiensi: quodsi itaque pro epocha assumitur initium anni i8o5, est n=74,584g5;longitudo media pro epocha ista statuta fuerat = 4i°52 , 2i"6i , motusque diurnus= 824"7988. Substituto iam in formulis modo inuentis pro dM yalore suo, muta-tiones differentiales loci geocentrici per solas mutationes elementorum expressae itase habent:

dl = 2,41287 dlV 179,96 d7 o,75214 d/Z 3,00527 dtp + o,i6488da

0,11152 d i -f- o,o4585 d ^

= 0,66093 dlV+ 49,67 d7 + 0,25698 d/Z + o,6i248 dcp + 0,02972 da

0,47555 di + o,58o3o d&

tf-