Visibility of Luna and Lunar Crescent

FimUy the coordides ofthc Ss @ Edcdar.d for UTE qd 0r followins cdculadon
I,sT = a,
csnr-LST-L,
n_GSTtr-To
(2.1.7)
{2.7,8)
(2.7.9J
uTr=T,'L0027379093?5
(2.7.10)
So ihat theE is a dilfer€ne of l€ss drs a *cond b.tween one v.lue ofuTr ed ib.ext
[or lhe locat sunrise and sunset $c base vatue $ the UTtr ahd inirial
apptoxmalDns for the sunnse k UTr - 6h = UTn and lhat ot tnc suMt is UTr + 6r -
UTst. Dcpendi.8 on rhe tocat longirude L, UTs ed Ursl nay ti.I on pr.viou or rexr
day csp.clively so lbar a necese,y dare adjutmeir mul b. dorc. runher ddpe.ding on
the local lairude il is funher possible thar these pbenomcna sihply donl occur.
The pbc.s bcgins
Urs0. The holr angl€ HA
de c@rdi@res of rh. Sun for UT6 (or
stt'ne or nsing ovcr a l@al horjzon k
(2.7 r)
stEE I is rh€ eeghphic laritude of rh. obsedcr lnd lhe au nd€ of d. poinr of sky is
a$med to b. ero, How.ver owirS to th€ phdohcnon ofEri&tion a ,r.r, rhe Su dd s
pld.l ae wll b.low th. hode. std rhcy @ a€ru.lly seo sdrjng or risin8. The
t\@g€ rFe.t of EFadioD is rhar . srat E@iN visibte de ir ft hs gone j4 e Dinu!€s
below hori^n. 'Ilis allitudc is kmh s srand.rd drilud. dcnoEo s 4, ed is @nsid@.I
6t)