Visibility of Luna and Lunar Crescent

m.gnitude of the Moon dd $c linning m.gnitutle of rhe sky ai thal monen!
I_
B6(Dmag), fic divdsd rimc *h.o U. @ntrasl of rhe sry bnSh,ES ed
th. Moon\ bdghret is b6r in favou of rhe Moon ald thc diflcn@ of $e
ha9irude of rhe M@D ed thc lim'ring m.gn'nrd. ofih. sly al rhar monen
32.
Lsr(Dmae), ihe univdal tme wh€n rh€ conrmst orrhe sky bnshhess ed
tbc Moon\ biehd is lal io &vou of th. Moon ad rbc difcrcn@ of $e
nagoirude ofthe Moon ad rhc liniring magnitude of$e sly ar th.r momenr.
A3 thc .x€cution oflhe proghh b.gins ir prompts for ob*Nadon nMb.r, dale,
nonlh, y.&, longirude, Iaritude od cl.vation abole sea l€vel of th€ phcc and $e
esrinated ttmperaturc ahd estimrd r.larilc humidiiy of lhe place. This plompr is
iniliared by rh. lunction tzrdd,r.rtnd callcd by
the tufuri,on nt i n n u t i
"..
Ticn rh. prcg@ c,lls for $e tundi@ math .h4tg.. This tunc on n6r
ddmin€s lh. Julia Date of dE dDc of n.esr @njwdon or rhe bini of ncw M@n
crlling thc fucrion /t ]@_D@r. Th. tu dion r'r_r@_r@r is bdcd on .tgorithn due
ioMeeus(1998)discqsedinadicl€2.3abovc(fomu162.3.1.ro2.3.25).'Iletuncrion
rorr, cna,a. $en calh the tu.ctior renir&rr lhal dekmines the tihcs of lhc sunsel
dd the Moon set tttroud fiD.rioB tun-q.t 6d mon_se.Ih€ tunciions rzu_r.r sd
tutu_sa t. b6ed on lh€ alsorithn dhcus$d in aaicle 2.7 abov.. Dr functio.
rdttirgt.le calculars rhe b6r rimc for casent visibitiiy aeording io @ndnion du€
to Yallop (1998) di*ussd h a larq cha .r Tnis is followd by @hpul!fion of the
Julie Dat 6d dB Exlcnd€d Juli@ dat corcsponding ro rhe best rim. 6ing rh€
tunctiolirri.ndrl. rhat t bs*d on rl| algorirhn pEdred above in anicl. 2.4. This
Iesds ro fomulation orlhe rime {sM€n1GIs dipused in adiclc 2.1) fo' rhc Elp2ooi)
md VSOPS? lheories for the c.lculation of coordimres of lhe Moon and ihc Su
respectively. Th.e coordinates e calcul.r.d according b the algorithDs in anictes 2.5
dd 2.6 iopl.m.n&d in fucdoB a@r_.ou.t ed t\. su"_.erd Bpeilely. B.fore
7l