03.10.2020 Views

Visibility of Luna and Lunar Crescent

A discussion on visibility of LUNA'S cRESCENT

A discussion on visibility of LUNA'S cRESCENT

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{

ip nt(iprr4,""/od:%d{'/o8.3lo\t",in(thou),in((lbou'in(lhou))'60),nma8-len)i

'

{

falt=malt+.1 ; fam=hem+.1:

kndisl=9o.o-fali:

Glomonlaco(sin(matl'PUl 80 0)rsin(fal1'Ptl80-0)+co(malt'Pv1 80 0)'co(i

ah.P/180.0.)r@s((n'a-faa)rPvl80.)))r l80.o/lli

relonsui=(acos(si nGan' P V 1 80.0)* sin(lalt'P V l E 0.0)+cos(salr' PI/ 1 80 0)'cos(ral(

iPl/180.0)'co(G@-ran)'Pvl80.)))1 180.o/PI;

sacon=1.0/(cos(zendist'P/180.0)10.0286rq(-10-51@s(andist1Pvl80.0)));

aacom-1.o/(cos(rndisl.Ptl80.0)+0.0l2lrexpc24.5xcos(4ndistiPI/180.0)));

oacon=pow(1.0-posGin(Endisl'PVl 80.0)/(1.0+20.0/6378.0),2.0),-0.5)i

fo(i=ori<5;i++)

{

kFo.1066'ex(-palr8200 0)rpow(Mchlil/0.55.4.0);

lc=o l'pus(*6chlil/0.55.-l.r)'dptpalL/1<00 0\

ka=kaipow(1.0-0.12llog(phunVl 00.0),1.i3)

'(1.0+0.13'si.Galpha'Pl/180 0).(pla/aab(plat)))i

ko{2$htir(3.or0.4'(plarr(PV180.0)1@s(elph.tPUl 80.0)-

@s(3.orplaCPvl 80.0))Y3.0;

kw:Brehlil*0.94.(ph$!i 100.0)*cxp(pteDp/15.0)iexpcparr/E200.0)j

li$h[i]=kd.ka+ko+kw:

dnshlil=krSeom+k .dcon+ko.olcom+kw.gacom;

)

npo$i=1.o/Go(EndistxPVl80.0)+0.025rexp(-t

ii(mah<=o.o) mhpos€f=4o.o;

l.0icos(zbdist*Pv180.0))j

nnposeF I -0lcos(90.Gtu1r). PVI 80.0)+0.025rexpt I L0tco((90.0-

mlrxPyl80.0)));

ir(elt<=o.o) snposef=4o.0i

snposcf=1.0(cos((90.onatrPr/l 80.0)r{.025.ex(-t 1.01@(90.0-

ex)1PVl 80.0)));

lb(i=oj<s:i+)

{

.idrb=boschtil.(1.or0.3'co<6.283.(ye&j992.0y1 1.0));

nigb|b=nisntb*(0.4+o.6/pow(1.G0.961po{sir(andistrpvl8o.o),2.0),-o.s));

nishrbrightb.pow(l0.0,c0_41t$htiirslpost)i

oMas=-12.?3+0.0261rabs(l 80.o-etonsp)+4.0.pow(180.0-

elonsp),4.0).(!ow(t 0.0,-9.0))i

mmag=nnmas+.nshlil;

co'@=pow(t 0.0,c0.4.k$blil.@pceo)

229

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