Visibility of Luna and Lunar Crescent

cnschtl ( t.36.0.s1. 0.00, -0.?6. -1.17) @Nrion for lund masoirudcs
!! csponding ro difiere.l sleded wavelcngih b6nds
r"a.. the ler ofde obseMtion,
c?,,ap.lhc elonsalion oalhc n@n fon lhc sun al lhe line ofob*ryorion
'lhc funcrion shs Nnh $lcclinS a poinl I wnh sky position sitnhr lult mdh
I O.l.lM tum + 0.r-i-e. a poinl clo* lo th. cstrc of $e tu.e disc Thc
^.ilh
dishnce ofrhis poid.:ed,sr is scd lo calcul.k lhc 8as. aeiosl ed lhe o7..c ndss
xr = {cos(?cdig )+0.0286 icxp( to.5'cos(zsrd,ri )r-l
(4.3.4)
x4 = bo(ud'i )+o.or I 1€xp( -2a.s'cos( rd,u/,Jl ))l-r (4l.t
. L lsintf,",./,r I l' I
(4.t.6)
"'=l lr.:oro;rrl ]
comspondine ro live diff@r \Ev€l€nglhs cleted in the @v Ydc,ll/:
J, *orr'.^-,0*r!!\
' ''o' t
This is followd by rhe calculaio. of th€ cx nction @flicicnls componcnls
& =o 1066 '*e[- ?s4J'("qrrtl'r) 4 14i7)
r, =o r,(xru;'".-,(-#).(' -a##-*,) ",",,,
Ka = o.'chlil'O +0 4'lpto! '
co{satpha ) - cosl3' Ptat )))/ .
(.r.3.9)
*,, =,,,,,,r,,.. *.(,i#
).".(tf ).".(- #il )
(4.i.10)
For cqch wav€loslh bed rh.* eidnction ccmcicnts a'c ecumulalcd in
krchli)= K, + Kd + Ko + K" (4l l l)
And rheir linearconbinalio. wiih mas componcnls tE gathcrcd inro n v dnvhJl: