Visibility of Luna and Lunar Crescent

impossibtc io 3a thc cr.!ent, TLse circmshnc.s aF shom in the 68ure 3.2.2 on the
iD
iii)
Cl, lh. cclsli.l .q@lor, 1 i! th. vdal eqlinor.
TS is the diuFal path of th. Sm thar is just *riirg al s.
DE b thc diumal palh of the Moon th.l s€t before thc sUNl 3t E.
Ds = 6M - 6s, letpendi.ula.
to the c€lesial equlo. is lh€ dif.rence of lhe
decliMtion 6M of ihe M@n &d the deli.ation 6s of rhc sun. Declinalion of
the Moon t south of lh€ sun md rhe upper limn of Ds is 50 9'. lhe inclihalion
oflund orbit to lhc trliplic.
v) zcvs = 9Oo - 4 is the agle bctween $e c.l.srial equ.tor lnd $e horihn
NS whee C teprenls lhe lotitude oflh€ Pl&. TheztSD = C
vi) DM = dM - qs, lhe dilreEnce of risht a$cnsio. dM ofMoon and rhc rishr
eension os oflhc Sun. For higher lairudcs DE nav b. htgc allowing laigc
vllues ol ncepliE LAG aftr co.junction
vii) sF = pM - 9s : 0M is p€,Fndicultr ro fi. E lifljc is $e difiercnce bctw*n
lhe c.l6ial taliluds of the Men and lhc Ss As for DS Sf never €xcads
rhelinilof5'9'.
viii) FE (E' .ol showo in rhc fisure 6 it almost coincides wilh E) h ptrallel lo the
ix) lislhe
Vemal Equinox ed Z)6t =
horizon. Dep.ndniS on laliude C and
v h !h. angle of lhe Ecliptic with $e
lh€ se@n, 'Y
naY lary ftum zeto
(vhctr ecliptic is alons the botizo') lo 90 deB€6 (when €cliptic is
pc+endicula! to lhe holzon) l! cas' when v is small DE thal has b be
paEllel lo the 4liplic is nuch ltrsei tha' DE (ftol is paEllcl io lh€ cqualo!)
and hdc. E sd E aE mrch s.panted Tlle det€mi'arion of$is oSle md
its sienifidc. shall be di$sed in the n'xt drcL
x) I'lt figurc shos rh€ SM is jN| about o sel in a pl&e oI sdall b n€diud
laftude d , $e M@n havins ddlinarion eulh of il' sun ha al@dv *l (dd
wd set at poinl E) $ th.l lh€ LAG = TiG of Mdnct Tim of suNer is
E'