Visibility of Luna and Lunar Crescent

(3.2.2)
(3.2.1)
FDm ridcle sh, st nir8 !r Pr:
@s(PSz +@+ A)=rer.@r,1.
(3.2.4)
usins (3.2.2) !d (3.2.3):
0.2.5)
6d (32.t) tosethd *irh (1.2.1) leds lo:
(1.2.6)
(3.2.5) sd (l.2.6) thd sivc:
Ju"'
This show that e + A or the .ngl. thlr ihc elipti. nEt s wirh thc v.nicsl is 5.e!
dcp.rdcnt 6 n d.peo& on the lorgitud. ofthc su only for a fix.d place {or latirude 9).
ln th. Esr of rh€ di$usion in rtis snicl. rhc anglc 900 - q + A is d€nor€d s V. In dE
ncxl .!ticl. etr@ cv.r ? + A is L*d it h olol&Ld on ibe t 6is of (3.2.7).
In @ the dslinaion of th. Moon is $u1h of th.t of lhc Su in NonhqD
H.nisphft (md north of the Su in th. rcuth@ hemisph*) it is possibl. thsr d.n
.ncr conjuction th. tr.w llM cKar $i! b.f@ lhe slNr in which w ir ir simply
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