Visibility of Luna and Lunar Crescent

a r Si&F.l Dry ud rh. timc masuld @rdi.s to thb $d. is rlrc Sid.Flt Timc_
Aglin du.lo lhc clliptird orbit ofr[. E lrh ttris D.riod i!.le nor uifom e w h!rc ro
@tuid* "M.rn Sidccal Day" rnd !@diiSly M6 Sidaql Tirc. Oc md el& dly
cquls |.002?3?90915 !|16 .i&Gd dlys (or 24B 03i" 56.t553?* on m@ sid.Mt
tim.). Altcturcly oE md 3idcEd dly cquals 0.9?26956633 ns st.r d.ys (or 2lb
56'r" 04.09053* on md sol$ rimc).
In gcrcr.l rh. o@ eld {n ir rhc rinc |.t n inro &@6r in bolh lb. civil tu.
ekoning a sll a tlE $tromnic.l. Wh.Ed lh. dylmiclt rh6d* denbc |h.
norions of th. objers ii solr srsr.m on th. bair of rhc coninuoBly nowins tinc
dc$dbcd a Dyimiol Tim.. T|| UniwBl Timc .d rlE DyiMiel Tim. E nor
@Biri. .nd rh. dilTelwc bdw6 dF tw is lot ! trom fumrioi of ritu dd @utd
bc lound only bt high pcirion ob&dados of th. skics. Th. diffm. of thc lrc AT is
rlbull|.d i. Asnonomicrl Aln.t@ for th. t.tqopic G6 (AD 1620 ri lodar.). For rh.
cd prior lo lic rcl.spic .n rhc v!l@i ol dT G cdcll.r.d on thc blsis ot rnc
qlculatioB of .cliter @ultrrion lnd 0E rin6 of th* d.nt. @rdert jn lh. tmwn
history. Th. val@s of AT e giEn fq only |h. nan of.eh cd.nd& y.r ,nd $os for
olh.r dn6 ofFd ce b. incrlDlar.<l. VeioG .u0!oc havc giwn veio6 lehniqu.s fot
obt inins llF* slq (Di.k y 195, M.!!t, l99E, Motri$n & Scoh.Nr, 2004.
Mofti$n & W.d, 1975, Scph.@n & MoEien. 1984 ald 195. Sr.ph.nsn, 1997,
lsl.m .t d. 2001.
Wh.ncv.r a c.lcul.tion for e.wnl ir to bG p. iomcd s ed( oul.v.rging
b.sd on l@l civil dh. sd dac. ror iBlhe vhcs llE rim ed darc of rh. binn or
nd M@i is compucd rh. lqlr cone our ro b. in dynmictl rim. This dyMical
dmc should h. conv.ncd ro thc Univ@l tinc by adding rhc c!frnr wt* or & ud 0En
lo th. l@l civil lim. by addine lh. Equbit &n tirc (@BidcEd posiliv. fo..6t
bnsnudB and rcg.dv. for Br lon8itud.s) for lh. l@tion of ob*rci Simil&ly if oie
wrs ro olculnc to ric Dcition of rh. M@n fo! {y l@rion of ob*rer, rh. ld.l zoi.
tin. hts to b. @nvcn d io uiwrsd tiD. by subr&ri.a thc aE tin. &d rh.n rhc
crent vduc or 41 should b. $bt .cr.d iom n ro gd tnc Dylmiql Tim.