- Page 1 and 2:
ON I'HE COMPARATIYE STADY OF MATHEM
- Page 3 and 4:
CERTIFICATEc. incd thn th. ..ndidlt
- Page 5 and 6:
Dedicated to my late motherAnwer Su
- Page 7 and 8:
AbstractThe pmbl.m of delemining ft
- Page 9 and 10:
allow visibilil, ofthe cltsm wilnou
- Page 11 and 12:
ilf'LLf' c)'i ",( ),1-t z-r -t z,li
- Page 13 and 14:
/'t' f'L )) L 72' A ety { d-- w L,t
- Page 15 and 16:
Phyaic.l Modala & their Evolution4.
- Page 17 and 18:
moden (Reingold & Dschowttz, 2OO1).
- Page 19 and 20:
SuDpoe ('-.r",/.)!d (.,,r",t) E thc
- Page 21 and 22:
5.6,1.E.10.B€dTimeofvhibilily TrA
- Page 23 and 24:
Thi! figue clorly 3howr th.! for hi
- Page 25 and 26:
and a.rc$cnr snh ldgc clone.lion $a
- Page 27 and 28:
Flarively r€c.nr rimes, ho$v€r,
- Page 29 and 30:
Solsr Cal.nd6 m b4d on the ulrl mot
- Page 31 and 32:
Arnhn.tic calcndar ther. are cilh.r
- Page 33 and 34:
8@rly vdied s6r lo s@n, 'fte t€en
- Page 35 and 36:
visul sighring epo.t must b. suppon
- Page 37 and 38:
visibility curve. So fd th. mod€l
- Page 39 and 40:
Chapter No, 2ASTRONOMICAL ALGORITHM
- Page 41 and 42:
O@ thc rim. of thc g.cdric biil of
- Page 43 and 44:
ine argunent md the explicii tin€
- Page 45 and 46:
Onc. lhe lincs of fting edor seltin
- Page 47 and 48:
L2.LPl&erary otbiB d. clliptic with
- Page 49 and 50:
BdicaUy a nhcory of pldelary ed lun
- Page 51 and 52:
$.t%'sr'(sfl + dI'.,)(r25)Tb vdB 6f
- Page 53 and 54:
a - sdimjor uis of th. dbill, = m@
- Page 55 and 56:
,is = I +l8O! Fs= -e 12.2.2t)ond th
- Page 57 and 58:
F " M@'!.4ruqtof hind.- ! 6'0.? ! a
- Page 59 and 60:
elled th. Julid Dare abb@ialed B JD
- Page 61 and 62:
How.r s noE @nhtlon l !'pNch ir ro
- Page 63 and 64:
Now orc n6ds ro c@t 6. nub.r of diy
- Page 65 and 66:
LMU-UMMstcFr2: alMM>2 { UW-C-1716 }
- Page 67 and 68:
DE to lh. nodotr of thc ob6*d. th.
- Page 69 and 70:
I. =6r4t-50'.54841+E tot84,.s12s66I
- Page 71 and 72:
t,-'i^,-"(t"*", \2tL,-ZA,s\8,+c,. I
- Page 73 and 74:
The coftcctions for Abe@don md Nura
- Page 75 and 76:
FimUy the coordides ofthc Ss @ Edcd
- Page 77 and 78:
Si"At = Sinpstnq +C6e,Cot6,CotH,(21
- Page 79 and 80:
An |pDDxiE.r. valu. of "'*" wirh e
- Page 81 and 82:
ranlAt =c6(Ir)s,,{t) rz,(d)co{l)(2.
- Page 83 and 84:
"='"[(289)Sinc. ihc acienl dd thc n
- Page 85 and 86:
9. JD of Conjunct, rh€ Julie Dat
- Page 87 and 88:
rh*.@rdin l€s @ c.bdat.d th. etr
- Page 89 and 90:
TL dl irpde dgsitor tu d. ddroni4 m
- Page 91 and 92:
In rhb ch.pter we stan wtth a b,t.f
- Page 93 and 94:
wA diislaled by S. Oddz 6 Crlr of M
- Page 95 and 96:
80(r. I r)
- Page 97 and 98:
for visibilny thftud rel.$ope. IlE
- Page 99 and 100:
(3.2.2)(3.2.1)FDm ridcle sh, st nir
- Page 101 and 102:
fig. 1.2.2: G@tn r.y ofP@riv. Ag. .
- Page 103 and 104:
usirg (3.2.l0) il tlr4 lat s into:(
- Page 105 and 106:
Sm p.r.[d lo lqldo. (difrcqE of ddr
- Page 107 and 108:
sin rr'r _ rh&sn(e+a) @s(e+a)erhlr
- Page 109 and 110:
As mc ioned abov. dE Mulin sao&Ders
- Page 111 and 112:
vi€w of $udying ihe behaliour of
- Page 113 and 114:
. yomg.r ct!.c. (f8; 3J.1). Tb nioi
- Page 115 and 116:
'Ihe table in App€n.tix'U shos S.
- Page 117 and 118:
All lhe* conditions falolr rhe lisi
- Page 119 and 120:
''if h. nns tizt b.nv.r -3,t otd 0.
- Page 121 and 122:
I415't00 loo zlo3b400^ actual RF br
- Page 123 and 124:
All thes. figu6 show ! lend for lhe
- Page 125 and 126:
In cae ofMoon nonh ofediflh:DAZ ! E
- Page 127 and 128:
69{0. Fo(brilgb.(l (t910) hs &!.rd,
- Page 129 and 130: w. d.firc a pa@et . !r ,.,visibihy
- Page 131 and 132: fhis nbdi6c.tio! i! rn oL by Fo$dnB
- Page 133 and 134: 35302520151050-10. hisible Cre€ce
- Page 135 and 136: :i::alF{s_?{";+E:'-.-l {-:'lFia. No
- Page 137 and 138: of Fsnivo 3igidier dwidirB froo rbd
- Page 139 and 140: (54.lYo). Howv.r, in t m of th. su.
- Page 141 and 142: e{inctton .nd sky briShtn* ds€ to
- Page 143 and 144: cxnibircd in n8 9 ir is mr.d lhnl a
- Page 145 and 146: For thimer c6c.nr rh€ ,r + s aSai
- Page 147 and 148: t32
- Page 149 and 150: tJ4
- Page 151 and 152: 1lzOur ofth. 196 positiv€ sighrin
- Page 153 and 154: rr' = ls<t - c.{A RCv).os(D,4z))(4.
- Page 155 and 156: i{Fig No 4'2 2lD addirion 10 @Ndtin
- Page 157 and 158: In all crloldjoE in rhis rcrk rhe c
- Page 159 and 160: @l@) of lhb wolk lb@ e 33 .M our of
- Page 161 and 162: 4JSCHAEFFER'S LIMITING MAGNITUDE MO
- Page 163 and 164: i = l,.cor ,+ 1i - lL I+441(4 t.2)r
- Page 165 and 166: ,.tdchltl = K, r ^ s + K,' x, + Ko'
- Page 167 and 168: Thdhold conExl vr| f.e.ltld. conbtt
- Page 169 and 170: TheE is only onc noc clain ofnajcd
- Page 171 and 172: t56
- Page 173 and 174: t58
- Page 175 and 176: T$LNa43.ltf t li rl!.a.l a, -r.81l1
- Page 177 and 178: On lhe bais ofthh dlatioo wc tlcnre
- Page 179: In gendl l@kingd Lhe @npt.rcdsl! $
- Page 183 and 184: visibihy cws inii.lly corceived by
- Page 185 and 186: nay be considced for an adv&k pGdic
- Page 187 and 188: Chapter No.5APPLICATIONSDurin8 rhls
- Page 189 and 190: l.nglh of new lum ccscenl (Qucshi a
- Page 191 and 192: l2t +w \{5.1.5)wirh w is the dim€
- Page 193 and 194: siglling of such a youg ed rhin ces
- Page 195 and 196: 'I}lus $e ae$c len$h cd be dalualed
- Page 197 and 198: 182
- Page 199 and 200: Tabl€ 5.'1.1 (Conllnued)Durins rh
- Page 201 and 202: Fig. No. 5. L7: Mesuemcnr of Length
- Page 203 and 204: 180160'1101m1008060zlo15ELOIGAN()|{
- Page 205 and 206: *.Fi8. 5.l.9i D.fici@y Arc rg.ind E
- Page 207 and 208: ours-value crirerion-baed crireria.
- Page 209 and 210: Freque.dy. claims of lery dy sighii
- Page 211 and 212: Tlrc'€ seE 6 c66 when thc ag. of
- Page 213 and 214: Chapaer No. 6Dtsct ssroN'ftis rvork
- Page 215 and 216: dau ofnininum aE ofvision for difcr
- Page 217 and 218: 'fte najor achjevem€nt of this m*
- Page 219 and 220: old! b !|dc! in ruirD frr lh. Ft! 2
- Page 221 and 222: { cl6c{): maime.u0; cltsqo; Daiuour
- Page 223 and 224: rvhile(nex|sl=V');Eolory(50,29):@ur
- Page 225 and 226: ,t){i(ho!P-24.0)iqhoul<0.0)ni.{hou'
- Page 227 and 228: ){gmr4c6-0r{41.0+50.5484V60.0y60,0+
- Page 229 and 230: iisha<o.0)sdelb-sinGlarrPvl80-0f co
- Page 231 and 232:
]fo(i=o;i<l l4ii+){ fs.d(fpL2,'%li
- Page 233 and 234:
li((dnon8<90.0)&&(slon8>100.0))ddon
- Page 235 and 236:
)I(24299161.0) e=z; el${ alph<doubl
- Page 237 and 238:
li(|enrd)s.t6i8_n0ilt{(3€c<1.0){
- Page 239 and 240:
nmFsin({50_c/60.0).Pv180.0)-sin(pla
- Page 241 and 242:
mooi coord(i),llii'i--.Ji. i:s'pv r
- Page 243 and 244:
gobxy(l 6,1 9);conven-dns(fabs(sdel
- Page 245 and 246:
fem-Doq(IO0,(o I5'telomorv400)|'62'
- Page 247 and 248:
2!2
- Page 249 and 250:
234
- Page 251:
236
- Page 254 and 255:
2t9
- Page 256 and 257:
24rI
- Page 258 and 259:
APPENDIX.IIIPHYSICAL MODELS211
- Page 260 and 261:
245
- Page 262 and 263:
241
- Page 264 and 265:
249
- Page 266 and 267:
9!!!!!.39!44!C94-9!_q4!!,-!!:,-9!l9
- Page 268 and 269:
253
- Page 270 and 271:
APPENDIX-IVOBSERVATIONAL LIJNAR CAL
- Page 272 and 273:
ll:lf-Lt-ltlItlt6tTlITlt,ItrL tsllt
- Page 274 and 275:
6 2P 3e g 9E:-Fa659 i it z p 5tI I
- Page 276 and 277:
Ellel];Il;ln-tlslft flflt"6rT<Fl!tg
- Page 278 and 279:
3p 5t E Et c T & Is$i$:lt I I:Ea!aI
- Page 280 and 281:
Hti 3 t I :3 ?tI I i6t5t93 t f3sa;2
- Page 282 and 283:
\"9n30 An-"gR--=aii"R6,:6.;,{d3.- :
- Page 284 and 285:
s:;;;g" :;iiR;;--6,itl=sl;!i9;p".-s
- Page 286 and 287:
\9ia9g;:;5555;6,.liisi.-eFae:E-;(sF
- Page 288 and 289:
RETtrRENCtrSLAlned, M., 1991. Oigin
- Page 290 and 291:
17.Bouwcr,D&Ctcmence,c.Ac.d€nic P
- Page 292 and 293:
36. Dulka J,, 1988- "oi th. Grcgond
- Page 294 and 295:
57, ffys, M., 1985, "vi5ibilily ofd
- Page 296 and 297:
?6. McNarl, D., 1983, The trnsth of
- Page 298 and 299:
96. Plulmq, H. C,, 1966, An Intlduc
- Page 300 and 301:
116. Schefcr. B, E., 1990, "T.l@pic
- Page 302:
,a:Ill5. Sutt n, A. H,, 2005, Th. L
Change language