Post on 25-Feb-2018
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ANALISIS DIAGRAM O-C(OBSERVED CALCULATED)
PADA BINTANG GANDA GERHANA
Dhimaz Gilang Ramadhan
(10309013)
Dosen Pembimbing :
Dr. Hakim L. Malasan
1
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!"L#$%2
&in'ang ganda gerhana Diagram O-C (Observed - Calculated) Membangn Diagram O-C
nalisis Diagram O-C &in'ang Ganda Gerhana Periode kons'an Periode berbah kons'an Light Travel-Time Efect
Gerak a*sidal dan kons'an'a s'rk'r in'ernalbin'ang
Ren+ana "gas khir
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$"$G G$D G%RH$3
KLASIFIKASI KURVACAHAYA
1. "i*e lgol
,. "i*e - Lr3. "i*e / !Ma
Min.Prime
r
Min.
eknder
Min.Primer
Min.eknd
er
Min.Primer
Min.eknd
er
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$"$G G$D G%RH$ (,)4
Minimm Primer dan Minimm ekndermer*akan 'r nik dari bin'ang
ganda gerhana
"o
M
"oM
ToM= Time of
Miim!mLi"#$
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DiagramO-C (Observed - Calculated)
%
Plo' ang menn2kkan selisih times omaxima/minima("oM) dari hasil*engama'an 'erhada* times o
maxima/minima("oM) dari hasil*erhi'ngan e*hemeris.
&'(e)*e+"oM dida*a' dari *engama'an
C,-.!-,$e+"oM dida*a' darie*hemeris :"min "04 P
5 %
E40965107,04219,2450640MinHJD d +=6on'oh e*hemeris linear dari Priblla e' al. (,003) n'k
78 *h
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Menghi'ng "ime o Minimm
/
Me'ode Her'zs*rng Me'ode ; 19?,)
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MET&DE K0EEVAN 0&ERDEN 1
S0 = |mi- mi
+|2
Saat sumbu ada di t0
H5D
6m,"
1. Plo' ;r@a 6ahaa,. "en'kan $ilai ba'
smb di '0
m14
m,4m34
mA4
m84
m1=
m,=
m3=
mA=
m8= S
-
= |mi-
mi+
|2
Saat sumbu ada di t0 - 6T
S+ = |mi- mi
+|2
Saat sumbu ada di t0 + 6T
3. Plo' Garis Hbng n'ar "i'ik Da'a
$7
A. &angn Time=Equidistant agnitudes !ada Garis
Hbng se+ara in'er*olasi linear
8. Hi'ng 0. Geser smb ke $7 6T8 #i$!" S9B. Geser smb ke $7: 6T8 #i$!" S
:
t0 - 6Tt0 + 6T
(;198,)
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-o;,(i(!m'!H5D
S2$3
?. PL" 0> => $D 4> L;!;$ !"#"$OL%C &%TT%'
$7$79 6T $7:
6T
Lokasi smb saa' (') minimm"M
MET&DE K0EEVAN 0&ERDEN 2(;
198,) 1999)
est TT*!!! +=+=est0T
)!!(ETTT)CO( obsEE +++=
*!=Jika)TE!T(T)CO(
obsEE ++=
T)CO( =
*T=Jika
)!EE!T(T)CO( obsEE ++=
!E)CO( E =
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$L## =6 D#GRM PR&L#; (1)
11
Ekspansi Taylor dari ephemeris
Den!an
!ET min +=
+
E
+
min+
E
min
Eminmin)EE(
dE
Td
+
,)EE(
dE
dTTT
++=
dt
d!!
dt
d!
dE
dt
dE
d!
dE
Td+min
+
===
+minmin E
dt
d!!
+
,!ETT ++=
EE
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$L## =6 D#GRM PR&L#; (,)
12
De"inisikan
Di mana
+minmin E
dt
d!!
+
,!ETT ++=
mi
obs
minTTO = E!TC
,
,
min+
+ E
dt
d!!
+
,!EE)CO( ++=
)!!(!)TT(E ,,max
max == , mber : 'erken
(,008)
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L#GH" "R7%L"#M% %%6"
13
Adanya perbedaan waktu
tempuh cahaya saat Sistem
Bintang ganda gerhana
mengorbit benda ke-3
&)'i$ 'i$," ",+, me"e-i-i"i
'e+, ;e$i",
(#r 198,)
dengan
cisinsinae)sin(isinr
c. ++==
++
+
= sine)sin(
cose,
e,
)cose,(
,
+
++
)(+
,
c
cose,isina minmax
++
=
=
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14
;r@a ligh'='ime I da*a' dideka'i dengan kr@ake+e*a'an radial dengan eR7 J eL"dan KR7 KL"
900
Dengan ''ing kr@a ke+e*a'an radial ;i'a bisamenda*a'kan *arame'er orbi' &G 'erhada* benda
L#GH" "R7%L"#M% %%6" (,)(#r 198,)
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P%$%$"!$ M &%$D ;%=3
1%
ngsi Massa benda ke=3
Dengan mengasmsikan i 900> ki'ada*a' limi' ba
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$L## =6 D#GRM :M%$D%"%;# G%R; P#DL
1/
"oM diama'i saa' bin'angseknder berada di garis*andang *engama'.
Prediksi "oM dari eekgerak a*sidal (Gimenez C&as'ero >1998)
dengan 1 n'k minimm
*rimer dan , n'kminimm seknder
",)i( o+,-
",)i(>,+,"
KP
N
PN
0cos"1
,cos"02+
+
!E!TT 0,so ++= #$%&
1sin"1
,+sin"+
,3cos",4
,1+3 + $'
'( 4sin",4
,1sin"
1
,41 +
O-C DIAGRAM DARIV%23SGR
mber : La+ (199,)
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G%R; P#DL D$ ;$"$""R!;"!R #$"%R$L $"$G
1
;ons'an'a s'rk'r in'ernal bin'ang (k,) mer*akan
*arame'er *en'ing *ada model e@olsi bin'ang. $ilai ra'a=ra'a k,>obs:
Di mana> P Periode anomalis'ik
! Periode gerak a*sidal
O la2 gerak a*sidal +,1>+,,
ngsi eksen'risi'as orbi'> raksi radis dan massakom*onen> dan rasio ke+. ro'asi kom*onen 'erhada* ke+.ke*ler.
(&ozkr' C Degirmen+i>,00B)
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G%R; P#DL D$ ;$"$""R!;"!R #$"%R$L $"$G (,)
1
memodelkane@olsi bin'angn'k menghi'ngk,>'eo
M,(i# ,+,>e)'e+,,,$,), -o" ;28o'(
+, -o" ;28$eo?mber : &ozkr' C Degirmen+i>,00B
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R%$6$ "!G ;H#R1
"2an : Mem*erbari =6 Diagram sis'em bin'ang
ganda gerhana
Melakkan analisis *ada =6 Diagram *adasis'em bin'ang ganda gerhana
Membangn sis'em nmerik n'kmenganalisis O-C 5iagram sis'em bin'ang
ganda gerhana
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;$D#D" &%;27 A& VEL&RUM
;oordina' ea'orial (,000) :
R 0?h11m83>91,s
De+ =A?0AAN A>00Q
Ren'ang magni'do: 9.38=9.B9
7 ;elas *ek'rm : &*i 4
&?7
"i*e @ariabili'as : %(%+li*sing lgol)
Periode(hari) :1>8?A8993
M1dan M, (M) : 3>3 C3>3?
(Gonzalez e' al.> ,008)
6uadru7le s8stem candidate:mber :
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T%EL%'E"!G ;H#R21
Ke"i,$,5ANUARI FEBRUARI MARET APRIL
1 , 3 A 1 , 3 A 1 , 3 A 1 , 3 A
Pengama'an
Pengolahan Da'a
Pengka2ian "eori
Penlisan "gaskhir
idang "gas khir
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"%R#M ;#H
,,
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R%%R%$#23
&ozkr' F. dan Degirmen+i .L.> ,00B> M$R> 3B9 6lare' . dan Gimenez .> 199,> C> 9> ,88 6lare' .> 1999> C> 380> 8 Ghedini .> 19?,> 9ot:are or !hotometric "stronom8>
/illman=&ell Gonzalez . .> H'big .> $es@a+il $.> $or'h P.> ,008> C>
AA9> 3,B #r 198,> *> 11> ,11
; 198> &ll. s'ron. #ns'.$e'herlands> 1,> 3,B La+ 6. H. .> 199,> > 10A> ,,13 'erken 6.> ,008> P 6on. eries> 338> 1