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HAL Id: tel-00003878https://tel.archives-ouvertes.fr/tel-00003878
Submitted on 1 Dec 2003
HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come fromteaching and research institutions in France orabroad, or from public or private research centers.
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Etude de mthodes danalyse en vue de dtecter lesondes gravitationnelles mises par des pulsars avec
linterfromtre VirgoJulien Ramonet
To cite this version:Julien Ramonet. Etude de mthodes danalyse en vue de dtecter les ondes gravitationnelles mises pardes pulsars avec linterfromtre Virgo. Cosmologie et astrophysique extra-galactique [astro-ph.CO].Universit Joseph-Fourier - Grenoble I, 2003. Franais.
https://tel.archives-ouvertes.fr/tel-00003878https://hal.archives-ouvertes.fr
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'! 0 AF 0 4& &F 09 4 3 Q (", F 3 0 3 " 3 3 U * '!, :4 F " F 4 & 9 " " ; * '!, 05 '! F 3 F
"&FQ 0& & 4, : & & 9 '! , Q 5 3 9 . -,
3
0" 9 *'!, 0 '! 3 03 F & 3 3, > " 4 F 0& ;
, ! " F & M& .P 39 '! M& .F " PF F @ 0" '!F 9 3 , 0" 3 F 0 2 , 3
4F * 0" 0 " 3 0 9 , Y *, 0" &F 0" 0" 9 , "R 9 = M" ="&PF " 3, ! 4 , 1 F 4 4 4 & I,
/4 ! # "
'! 3F " 9 . %
, ; * ("
I 0" , 0 0& " 3 & 4 3 *0 ,
= 0= ("F 0 2 &F0 .6, + .6 4 *F 5 , = 9 2 & 3, + " &
F " (", H = 92 & 0 " 9,
* / !
4 M& Q" ,P 04 , +
$ 3 F , : & ; 0 F09 4 3, ; Q 2 , 5 &
; 0 Q" , M "P, 0 0" 0 F >F " F & = 9 2 &,
4 4 0" " Q" , M P,
& 0 F & & & 0" " ; ,
Temps (sec)0.7405 0.741 0.7415 0.742 0.7425
Co
un
ts
-8
-7
-6
-5
-4
-3
-2
-1
0
Pr_B1p_ACp
, E # 0 F & = 9 2 &,
26
,2 ; *
0 2 4 6 8 10 12 14 16-0.04
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
0.04
sidus (droite) e r
0 2 4 6 8 10 12 14 16-0.006
-0.004
-0.002
0
0.002
0.004
0.006
sidus (parabole) e r
0 2 4 6 8 10 12 14 16-0.0015
-0.001
-0.0005
0
0.0005
0.001
0.0015
me dordre 3) osidus (polyne r
0 2 4 6 8 10 12 14 16
-0.006
-0.004
-0.002
0
0.002
0.004
0.006
-1x10me dordre 4) osidus (polyne r
0.39 0.395 0.4 0.405 0.41 0.415
-4x100
20
40
60
80
100
e (droite) e Distribution des temps darriv
eseN
om
bre
de
ntr
Temps (sec)
/ ndf 2 240.6 / 97Constant 1.918 84.34 Mean 3.841e-09 4.017e-05 Sigma 3.023e-09 1.992e-07
0.39 0.395 0.4 0.405 0.41 0.415
-4x100
20
40
60
80
100
120
/ ndf 2 240.6 / 97Constant 1.918 84.34 Mean 3.841e-09 4.017e-05 Sigma 3.023e-09 1.992e-07
e (parabole) e Distribution des temps darriv
eseN
om
bre
de
ntr
Temps (sec)
/ ndf 2 86.56 / 84Constant 2.16 101.9 Mean 2.949e-09 4.018e-05 Sigma 2.262e-09 1.724e-07
0.39 0.395 0.4 0.405 0.41 0.415
-4x100
20
40
60
80
100
120
/ ndf 2 86.56 / 84Constant 2.16 101.9 Mean 2.949e-09 4.018e-05 Sigma 2.262e-09 1.724e-07
me dordre 3) oe (polyne Distribution des temps darriv
eseN
om
bre
de
ntr
Temps (sec)
/ ndf 2 85.75 / 82Constant 2.244 104.3 Mean 2.873e-09 4.018e-05 Sigma 2.3e-09 1.684e-07
0.39 0.395 0.4 0.405 0.41 0.415
-4x100
20
40
60
80
100
120
/ ndf 2 85.75 / 82Constant 2.244 104.3 Mean 2.873e-09 4.018e-05 Sigma 2.3e-09 1.684e-07
me dordre 4) oe (polyne Distribution des temps darriv
eseN
om
bre
de
ntr
Temps (sec)
, E 7 * 3 5 M "P 4 5 0& 3F 0 M P, & & 0" AF 0 & * '! ,
2-
, ; * ("
* / %
! ("F = & .6 &,: & Q" ,2 = 4 , 5 & ; 0 Q",, : & F 0 ; M3 92PF " * , * 0 4 ,
Temps (sec)
0.23 0.2305 0.231 0.2315 0.232
Co
un
ts
0
5000
10000
15000
20000
25000
Em_Ti_AtomicPulse
,2 E # 0 F & = 9 .6 &,
5 !
Q" ,6 & 0 0& 0" 3, : & &
0&F 9 5 ,
0" &
9 0" & '!F 4
0" =, & & & & , & F 4 0 F 0" & 0 " 9 0" 0=F -, : 5 & 9 _ G
? < 1 M,.P
0 & G
M,P
2/
,2 ; *
0 2 4 6 8 10 12-1000
-800
-600
-400
-200
0
200
400
600
800
1000
sidus (droite) e r
0 2 4 6 8 10 12-1000
-800
-600
-400
-200
0
200
400
600
800
1000
me dordre 3) osidus (polyne r
0 2 4 6 8 10 12-1000
-800
-600
-400
-200
0
200
400
600
800
1000
sidus (parabole) e r
0 2 4 6 8 10 12-1000
-800
-600
-400
-200
0
200
400
600
800
1000
me dordre 4) osidus (polyne r
, E 7 * 3 33 ,
& 0" bV b _ .8 - , 05 9 & 4 4 H 9 , & 0" Q, H 90 5 "4F 0 9 , & " 9 3 4 3 0 '! 0 0" ,
28
, ; * ("
Temps (jours)0 1 2 3 4 5 6
e (s
)e
Heu
re d
arr
iv
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
-3x10
,6 E =& 0"
'! M0 0& * 3 9 P,
( /4 2-&
> * F " F , *" & '! 1, 4 & - Y , 4 , 3 '! & , 3 & . '!F 09 4 .6 9 , " 0 4 .6F .-F ./F .F 9 . & 3 0F @ , F 4 .6F .-F ./F . F Q" ,-, F " 0 U 6/2/ F G
?, 4 C ?4 ".6 .68.- 88/./ 6-.. .
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", &4 G 9 0 , 0 , + $ 44 0 4 0 M..
/ DP H 9 4* * '!I,
: &44 9 & * ,
6 1 " ! 2-&
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: 5& Q" ,. 0 0& 0" F * '!F B 0 A U '!, : " "&
9
,2 ; *
Temps GPS (s)7.077632 7.077633 7.077634 7.077635 7.077636 7.077637 7.077638 7.077639 7.07764 7.077641 7.077642
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
Temps GPS (s)7.0911208 7.09112085 7.0911209 7.09112095 7.091121 7.09112105 7.0911211 7.09112115 7.0911212 7.09112125 7.0911213
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
Temps GPS (s)7.0917284 7.0917286 7.0917288 7.091729 7.0917292 7.0917294 7.0917296 7.0917298 7.09173 7.0917302 7.0917304
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
Temps GPS (s)7.123176 7.123178 7.12318 7.123182 7.123184 7.123186 7.123188
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
Temps GPS (s)7.17760448 7.1776045 7.17760452 7.17760454 7.17760456 7.17760458 7.1776046 7.17760462
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
Temps GPS (s)7.19865 7.19866 7.19867 7.19868 7.19869
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
,/ E = '! M.P,
, ; * ("
Temps GPS (s)7.3646615 7.364662 7.3646625 7.364663 7.3646635 7.364664 7.3646645 7.364665 7.3646655 7.364666
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
Temps GPS (s)7.3647529 7.36475295 7.364753 7.36475305 7.3647531 7.36475315 7.3647532 7.36475325 7.3647533 7.36475335 7.3647534
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
Temps GPS (s)7.377162 7.3771622 7.3771624 7.3771626 7.3771628 7.377163 7.3771632 7.3771634 7.3771636
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
Temps GPS (s)7.3771786 7.37717862 7.37717864 7.37717866 7.37717868 7.3771787 7.37717872 7.37717874 7.37717876 7.37717878 7.3771788
8x10
eN
o. d
u b
it d
e Q
c al
lum
16
17
18
19
20
21
Temps GPS (s)7.3800795 7.38007955 7.3800796 7.38007965 7.3800797 7.38007975 7.3800798 7.38007985 7.3800799 7.38007995 7.38008
8x10
eN
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u b
it d
e Q
c al
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16
17
18
19
20
21
,8 E = '! MP,
0" '! G 3 5 . 0 0& & 9 & F 0 3 -,
+
$ 0& " F ; 0" 3, + 5 " 3 F I '! 0
2
,2 ; *
& " 0 * 4,
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temps (s)0 50 100 150 200 250
Heu
re d
e d
eb
ut
de
la r
amp
e (s
)
-0.1
0
0.1
0.2
0.3
-6x10
temps (s)0 50 100 150 200 250
Gp
s1F
lyw
hee
l
0
0.2
0.4
0.6
0.8
1
temps (s)0 50 100 150 200 250
Gp
s1P
osF
ix
0
0.2
0.4
0.6
0.8
1
,. E 1 0 3 0" '!,
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K
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o b = -90
ob = +90
ol = -180 ol = +180
Pulsars solitaires Pulsars binaires
2, E 7 &H M
2,2 4
-
Q" 2, 3 3 , 3 F " 0 , * 4F I 0 *0
"F 4 0 "&, F 4 G M.P
9 * 4 0 F MP 4 "& & A 3 N/O,
(Hz)oquence optique e Fr10
-11 10 10
210
3
/dt
(Hz/
s)
o-d
10-18
10-17
10-16
10-15
10-14
10-13
10-12
10-11
10-10
10-9
Pulsars solitaires (1230)
Pulsars binaires (80)
Pulsars avec dP/dt > 0
3 ,
(Hz)oquence optique e Fr10
-11 10 10
210
3
/dt
(Hz/
s)
od
10-18
10-17
10-16
10-15
10-14
10-13
10-12
10-11
10-10
10-9
Pulsars solitaires (11)
Pulsars binaires (5)
Pulsars avec dP/dt < 0
3 ",
2, E ,
! 1
1
Q" 2,6 4 2,. 4 4 * 4 , +
$ 0 0 * 4 ,
6
2, &
de lorbiteeExcentricit10
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-510
-410
-310
-210
-11
Fra
ctio
n d
es o
rbit
es
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
2,6 E # 4 0 3 9 &,
1 ?4 * 4
$ V 8b/ M 26 YP$ = 2b/ M 28 YP$ = 2-b/ M YP$ = b/ M 6 YP$ = 62b/ M - YP$ = 68b/ M /. YP$ = -2b/ M /- YP
2,. E ?4 * 4 0 3 9 &,
. " #
,= #
Q" 2,- 4 3
* 4 0 3 9 ,: $ 9 4 9 6
2, %& 0
quence optique (Hz)eFr0 100 200 300 400 500 600 700 800 900 1000
No
mb
re d
e p
uls
ars
bin
aire
s
0
1
2
3
4
5
6
2,- E =4 3 *4 0 3 9 ,
,= Q" 2,/ 4 3 4
* 4 0 3 9 , +
$ 3 9
2, &
quence orbitale (en Hz)eFr0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
-4x10
No
mb
re d
e p
uls
ars
bin
aire
s
0
2
4
6
8
10
12
14
16
18
2,/ E =4 3 4 *4 0 3 9 ,
Amplitude de leffet Doppler (en Hz)0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05
No
mb
re d
e p
uls
ars
bin
aire
s
0
2
4
6
8
10
2,8 E =4 0 05 =
* 4 0 3 9 ,
, > 4 3 M .
2, %& 0
Q" 2,F G., 3 " 3 9 .
$
%
= ("F * & 5 F 4 & , Q 0 F 3 " & 4 03*F 5 0 "& &, 1 5F
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# ''
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F
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$
!
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-
, & %14
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C
O'
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ligne des nuds
pulsar
P2 : nud descendant
a1.e
r
A : apoastre
P : priastre
P1 : nud ascendant
,. E 1 4 0 * 4F 4,
"
> 04 3
9 * &F 0& N8O G
$ !
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$
$
$
$
$
$
(-
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M,P
< !
$ $
$
$
M,2P
4 4 " 9 F $ = $ = F 0 . %, F $ =
F F $ = $,
-
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iP2
P1plan orbital
plan du ciel
priastre
apoastre
ligne des nuds
O
C
O'
pulsar
P
A
r
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5 ""4 F 5 < M " ,,.P,
0? ##
& 4 $ 5 =
M 3 0 * & * 4
4 ! * !P, 4 & " &F Q" ,, + 0 G
+ $ + !
$
M,P
6
$
$
+
M,6P
! ! 2
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> & 0 ^, > 4 9 &
++ $ ++F & + M,.P
4 0 0 $ *, +
& + 0 & :!#. $ = , ! F 0
9 3 ,.. -,
P2
P1
2a1.sin(i)
plan du ciel
OC
pulsar
O'
vers
laTe
rre
V
Vr
r.sin(i)
PA
, E 1 4 0 * 4F " &,
-
, ! "
( 7 #-
% * 4 9 !+1! 0 0 " * 4 N8O, + 0
F 4 9 N//O,
04 * 9 3 0 "& & 0 * 4 & G
0 0 "& 3 / 0 "& 0 ? M P
0 0 0" B " 0 0" 3
* , & " &F Q 4 G
4 $ " 2 0 0 $ 04 "
, & %14
Temps (secondes)0 5000 10000 15000 20000 25000 30000 35000 40000
Vit
esse
(km
/s)
-350
-300
-250
-200
-150
-100
-50
0
50
100
PSR1913+16PSR1913+16
,2 E ( 4 !7.8.X.6 N.O "R F 4,
Q" , 0& 05 =
4 !7.8.X.6 .8-6 .6, 0& 2,b N8.O G 4 0& 2 F ./F 05 =
40L&L,
Temps (s)0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000
(H
z)
-0.02
-0.015
-0.01
-0.005
0
0.005
0.01
0.015
0.02
Jan 1976
Jan 1986
Jan 1996
Jan 2006
Jan 2016
PSR 1913+16
, E 1& 05 =
4 !7.8.X.6,
--
, ! "
# !
= " F $
4 ! * ! & * 4
4 ! * ! & 0 K* N8O, F a& '& .882 9
,
" :
# ## $ $
Q" ,6 ,- &
MF FAP
4 ! * ! 5 4 , Q" ,/ 4 5 4 , 4,. " & 3 9 , & ,
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10-1500
-1000
-500
0
500
1000
1500
5x10x (km)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10-1500
-1000
-500
0
500
1000
1500
5x10y (km)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10-6000
-4000
-2000
0
2000
4000
6000
4x10z (km)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10-8
-6
-4
-2
0
2
4
x(BDL)-x(JPL) (km)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10-6
-4
-2
0
2
4
6
y(BDL)-y(JPL) (km)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
z(BDL)-z(JPL) (km)
,6 E ! MF FAP
4 ! * ! " = F F 5,
-8
, ! "
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10
ren
ce d
e p
osi
tio
n (
km)
eD
iff
0
1
2
3
4
5
6
7
8
r (BDL-JPL) (km)
,- E =5 4
4 ! * ! " = F
,
rence de position (km)eDiff0 1 2 3 4 5 6 7 8
0
10
20
30
40
50
60
r (BDL-JPL) (km)
,/ E =4 5 4
4 ! * ! " = F ,
/
,
" &= / K . Y= - K 88,8 Y= 6 K 88,. Y= K 8/,8 Y= 2 K /,6 Y
,. E " & 0 ,
:
# ## $ $
Q" ,8 ,. &
MF FAP &
4 ! * ! 5 4 &, Q",.. 4 5 4 &, 4 , " & 3 9 , & ,
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10-3000
-2000
-1000
0
1000
2000
3000
4x10vx (mm/s)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10-3000
-2000
-1000
0
1000
2000
3000
4x10vy (mm/s)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10
-10000
-5000
0
5000
10000
3x10vz (mm/s)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10
-1
-0.5
0
0.5
1
vx(BDL)-vx(JPL) (mm/s)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10
-1
-0.5
0
0.5
1
1.5
vy(BDL)-vy(JPL) (mm/s)
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10
-0.4
-0.2
0
0.2
0.4
vz(BDL)-vz(JPL) (mm/s)
,8 E ! MF FAP &
4 ! * ! " = F F 5,
/.
, ! "
Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459
3x10
ren
ce d
e vi
tess
e (m
m/s
)e
Dif
f
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
v (BDL-JPL) (mm/s)
,. E =5 4 &
4 ! * ! " = F
,
rence de vitesse (mm/s)eDiff0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0
20
40
60
80
100
120
140
160
180
200
220
v (BDL-JPL) (mm/s)
,.. E =4 5 4 &
4 ! * ! " = F ,
/
,2 ' 4
" &= .,6 , . Y= ., , 88,6 Y= ., , 8/,. Y= ,/ , 8,2 Y= ,6 , /.,. Y
, E " & 0 ,
# , 1
4 "R !+1! 9 2K
, ! "
quenceeFr532.2 532.4 532.6 532.8 533 533.2
No
mb
re d
e F
FT
0
20
40
60
80
100
quenceeFr532.2 532.4 532.6 532.8 533 533.2
No
mb
re d
e p
oin
ts
0
5
10
15
20
25
30
35
40
45
Projection
quenceeFr532.2 532.4 532.6 532.8 533 533.2
No
mb
re d
e F
FT
0
20
40
60
80
100
quenceeFr532.2 532.4 532.6 532.8 533 533.2
No
mb
re d
e p
oin
ts
0
2
4
6
8
10
12
Projection
,. E =" 3 " & 0 &" 4 !+1!F 0 F 0 F 0 3,
= " 4 4 7::F , 0 0 0 " $ Q" ,. M9 P, " F & " F , + 4 % J N.OF 9 6 4 3 4 .F & ,
( & "F !+1!F 9 & &/,
(
" (" 3 F "& & * 4,
/2
,2 ' 4
0 &
4 ! * !F & 6 K ., , 88 Y F " 4 !+1! , 0 !7.8.X.6 " , I "& 0 * 4F & 9 04,
/
&
#
* , " 0 F 9 0 4 9 " F , ! 3 9 5 =
F 9 IF9 & ! F * 4F 9 " E 5 =
F & 3 "F , 5 =
& I F 4* , ? & 0
F & &
,
% 2
" 3 F & &
, = F 9 5 =
&4 & F H &
F & " * 4, 0 " & & F & & 2 F & ,
/-
6, *
"
! &
4 ! *! ( F " & F 0 N..O G
!
%
(
C
M6,.P
%
M6,P
"
:
& 4 , = * 4F " & 0 G
!
%
(
((
(
C
M6,P
% 2 "
6 -
4 4 " 4 "R 9 Q" , F 3 & 3 " & $, 4 0 04&
$F $ 0 Q G
$
$ M6,2P
$ F 4 G
+.$
$
M * P M6,P
4 4 & G
D 4+/
$ M6,6P
4 ! .
//
6, !
B 4+/ & 4 9 3 N.O,F 0 3
, + 3 " & 3
, 7 Q" F & 0 *F N.O,
6 - ) #
= 4F 4 * " " G 3 04F " F F " " 9 M ,,.PF *
, > &" & 0 * ,
> 4 Q" 9 0N.2F .O, 1
* & 4 E 0 EF
4 * "F 09 " 5 =
F & H & 4 , "Q3 # " , > 4 * 05 4& , F ! a. " " 2 . 3 4 . N.O,
&"F 3 9 0 F 4 4F ,
% '
9 & !+1!, 4 " !722 F Q & 0 ,
6 & #
1 3 3 9 . K
6, *
3 0" 2 K
6,2 3 # "
M "Q 4F ,P,? 0 & G
F 09 4 05 =
4 _F &
9 . & 4 F 09 5 =
" ,
% ) 2
1 F 3 # 0" ##` M# # 3 N.6OP,
" F
" 3 F
" 4" 3 #, + & 3 # " 4, F 0" "
5 G 0 05 =
" " & 9 & F 0 " 3 & 0& 3 #, " 34F I 3 N-.O, &
9 M PF 4 0" G
(."" !
/M6,-P
05 =
H & 4 0 0 N8O G
/ / 6
6, *
F * 4F 04
I F 4 G
(."" $$!
2
/ M6,..P
B / 3 "& , 1 * 4 !722F 4 & 4 6,. M&4
6, ! 3 #
)m (s/0 10 20 30 40 50 60 70 80 90 100
No
mb
re d
e p
uls
ars
bin
aire
s
0
1
2
3
4
5
6
7
8
9
Terre (1 jour) Terre (1 an)
PSR0034-0534
6, E ( $$ 2 4
& I
& !,
: 0 , Q" 6,
/ " M P " !722F &
,
quence (Hz)eFr532.2 532.4 532.6 532.8 533 533.2
Am
plit
ud
e
0.1
0.102
0.104
0.106
0.108
0.11
-21x10
6, E 7 " " !722,
"
$F * F 9 5 =
9 & ! & ", : * , $ 9 "F &&" 0 , 8
6, *
%% 3 "0)
: 3 #F 0 M&
P, 3 #F F 4 3 F 0 9 :!FB ! 0 : * 4 4 M& 4 ,.P, 0 4 .,
6,- " 3
%& !4 "0)
Q" 6, " 3 Q" 6,2, + 4F 9 F 0
05 =
4 3 , ?F 3 4F 3 "3 ,
quence (Hz)eFr532.2 532.4 532.6 532.8 533 533.2
No
mb
re d
e p
oin
ts
0
10
20
30
40
50
60
6, E " 3 ,
%5 6
4 & 4 05 =
$ Q"6,2, 0 & G 4 I
" F
3
6, *
6: " 3!
3
6,/ 1 "
O
A
B
M
6,6 E = :F : :%
* ,
9 ", : &F " Q" 6,- G
6 = 6(. 2
6 = (.
! & 9 3 3 F " , F "
9 3 F &,
Q" 6,/ 5 , :
* 8.6 " M6,/P,+ 6. " M6,/4PF
* 4 , / " & * M6,/P, F 4 & & 9 , 0
& 3F 9 8. " && M6,/P, = IF 0
* 4 .26 " QM6,/P, > 3 3F " Q, Q" 6,/3,
8-
6, *
M1 M2
M3
1
3
2
6,- E " 6 6 6
* ,
6: 0% )
: 0 3 M& Q"6,8PF 0" 9 4 9 0 3 0 _F 0 3U & G
(E
" 9 9# M6,.P 3 Q" 6,., &
3 0 " 3 & 9 M " 3 P & & 4 G
!
9! 2
$M6,.6P
> 3 0 _ 3 F " _ , : * G
4 3 " 9 9# F 0 & G F " ;F , ! F ,
& _ "R 9 ,
8/
6,/ 1 "
-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000-5000
-4000
-3000
-2000
-1000
0
1000
2000
3000
4000
5000
, 8.6 ",
-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000-5000
-4000
-3000
-2000
-1000
0
1000
2000
3000
4000
5000
, / ",
-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000-5000
-4000
-3000
-2000
-1000
0
1000
2000
3000
4000
5000
, .26 ",
-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000-5000
-4000
-3000
-2000
-1000
0
1000
2000
3000
4000
5000
4, 6. ",
-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000-5000
-4000
-3000
-2000
-1000
0
1000
2000
3000
4000
5000
, 8. ",
Frequence (Hz)
-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000
Tem
ps
-5000
-4000
-3000
-2000
-1000
0
1000
2000
3000
4000
5000
3, ,
6,/ E !" 5
Q M 4P,
88
6, *
-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000-5000
-4000
-3000
-2000
-1000
0
1000
2000
3000
4000
5000
s electionnePoints s
-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 50000
5
10
15
20
25
30
quences eProjection sur laxe des fr
6,8 E 0 3,
: "R 9 E " 0 17? N.-O EF 9 & ,
6: -
/ " 3F & , & / _ 3 & , 3
4 05 =
H 9 & !, & & I 9 0 0 3 _F , & " & 0
.
6,/ 1 "
y-2 -1 0 1 2 3 4 5 6 7 8
g(y
)
0
0.5
1
1.5
2
2.5
3
6,. E F & ( E 9 ,
3U & M Q" 6,..P G
!
6, *
Pulsar
Soleil
x
y
z
Position de la
Terre au temps t
: point vernal temps To
6,.. E 0
&,
#& . !4 M !F & F " & & . % c F & !F " &
& 6 P, 0 & & G
,
0 F 9 &
,
? F ? , 3 ,-.
6,8
quenceeNombre de diagrammes temps-fr1 2 3 4 5 6 7 8
qu
ence
eF
r
532.67
532.68
532.69
532.7
532.71
532.72
6,. E 7 0,
5 , 0 ""4, 9 5 F Q" 6,., L LE 09 .
6, *
8%
2%
1%
1%
60%
28%
28%
Construction du diagramme temps-frquence
Transforme de Hough
Slection des couples de segments (1)
Slection des triplets de segments (1)
Slection des couples de segments (2)
Slection des triplets de segments (2)
6,. E 7 5 ,
0
0 04 * 4,
F 34 3 00
3
'
(
4 3
-, =*
* 9 4 2 G 3 " 3F 0 05 =
4 M 9 & 4 PF 3 4 / 4 C,
> 3
-, 3
0 & 9 * G / CF , : * 04 0 ", " DF D D , 1F 4 _ &4, DF D DF 4 , * DF D D * DF D D, 4 F & I , 5 _ & 4F 4 , 3 & & ,
Q 0 F 3 & , > Q" -,,
& !) -
@ 4 . 4 & 0" " " & " 4 0" * _ , 0&F " Q " * &F " &,
Q" -,. " 3 0@ 4 & Q" -, 4, 1QF Q" -, . & &,
.-
-, =*
Temps (s)
0 1 2 3 4 5 6 7 8
5x10
Fre
qu
ence
(H
z)
532.2
532.4
532.6
532.8
533
533.2
-,. E 05 4 0"
-,2 +@ 4
Nombre de divisions dun axe de lhistogramme de Hough0 50 100 150 200 250 300
Tem
ps
de
calc
ul (
s)
0
500
1000
1500
2000
2500
3000
3500
4000
4500
-, E . & & 3 4 & 0"
-, =*
es (s)eLongueur des donn10
510
6
Am
plit
ud
e d
u p
ic m
axim
um
102
103
104
105
es (s)eLongueur des donn10
510
6
Niv
eau
mo
yen
du
bru
it
1
10
102
-,2 E ( M 3 F+P & & 4 M
(P 3 " 4,
"" 6
+( !
> &
(" L"L 03* M+#P, 1 .F
, = F 3 & 4 6 F 04 * F * 0 * ; , F 0 ("F F LL, F 3 F & 0& , " Q 0
0,
F 12F . . M 4 '! -..-6 -.-/8-.-P, 4 4 Q"-,6 N..O,
..
-,
12
Temps (s)0 10 20 30 40 50 60 70 80
4x10
qu
ence
(H
z)e
Fr
532.2
532.4
532.6
532.8
533
533.2
quence (Hz)eFr532.55 532.6 532.65 532.7 532.75
Tai
lle d
e la
mas
max
imal
0
2
4
6
8
10
12
14
16
18
20
22
Temps (s)0 10 20 30 40 50 60 70 80
4x10
qu
ence
(H
z)e
Fr
532.2
532.4
532.6
532.8
533
533.2
quence (Hz)eFr532.55 532.6 532.65 532.7 532.75
Tai
lle d
e la
mas
max
imal
0
50
100
150
200
250
300
350
400
450
Temps (s)0 10 20 30 40 50 60 70 80
4x10
qu
ence
(H
z)e
Fr
532.2
532.4
532.6
532.8
533
533.2
quence (Hz)eFr532.55 532.6 532.65 532.7 532.75
Tai
lle d
e la
mas
max
imal
0
2
4
6
8
10
12
14
16
18
20
2x10
Temps (s)0 10 20 30 40 50 60 70 80
4x10
qu
ence
(H
z)e
Fr
532.2
532.4
532.6
532.8
533
533.2
quence (Hz)eFr532.55 532.6 532.65 532.7 532.75
Tai
lle d
e la
mas
max
imal
0
10
20
30
40
50
2x10
-, E +@ " 3 F !722 M05 =
H & P,
...
-, =*
quence (Hz) eFr10 10
210
3
)H
zh
(1/
10-17
10-16
10-15
10-14
10-13
-,6 E 4 4 (" 12,
+(
3 4
, + 3 04 " 5 N..O, F 4 4,
03* 0 3 F & & , ! F & 2 4 D , 1 4 -,., &F 22Y 12,
= 4 = Q =-.-.2 M.b-F G8GP -./82 M.b-F /G8GP /
-.6-2 M.b-F .2G8GP -.62 M.b-F .8G8GP
-.622 M.2b-F G8GP -.6-/2 M.2b-F .G8GP 62-.-/2 M.2b-F ./G8GP -.-.2 M.b-F 6G8GP .
-,. E 4 Q 0 ,
..
-,
12
"
F * 4 4 0 3 9 F 04 3 4F , =
G
!7.8.X.66 M !7.8.X.6PF & 0 "&F 04 " 9 ,6.-,
!72-2
-, =*
quence (Hz)eFr285 286 287 288 289 290
Tem
ps
(sec
on
des
GP
S)
7105.6
7105.8
7106
7106.2
7106.4
7106.6
7106.8
7107
7107.2
7107.4
5x10
-,- E > " 3 B 3 & 0 "F B & & 4 &
$,
A
Q" -,8 0 '! -.6.,: 3 " M 0*& & 2 " &P, 0 4 " 3F # * "F Q"-,. * 0 F /F C !,
,= #
Q" 2,- 4 3
* 4 0 3 9 ,+ 3 3 9 6
-,
12
quence (Hz)eFr10 20 30 40 50 60 70 80 90 100
h
10-15
10-14
10-13
10-12
quence (Hz)eFr100 120 140 160 180 200
h
10-16
10-15
10-14
10-13
quence (Hz)eFr200 220 240 260 280 300
h
10-17
10-16
10-15
10-14
quence (Hz)eFr300 320 340 360 380 400
h10
-17
10-16
10-15
10-14
quence (Hz)eFr400 420 440 460 480 500
h
10-17
10-16
10-15
10-14
quence (Hz)eFr500 520 540 560 580 600
h
10-17
10-16
10-15
10-14
quence (Hz)eFr600 620 640 660 680 700
h
10-17
10-16
10-15
10-14
quence (Hz)eFr700 720 740 760 780 800
h
10-17
10-16
10-15
10-14
quence (Hz)eFr800 820 840 860 880 900
h
10-17
10-16
10-15
quence (Hz)eFr900 920 940 960 980 1000
h
10-17
10-16
10-15
-,/ E ! 12F 4 " . M4 4PF 4 " " / M4 "P M " 4 3 F " 34P,
9 .
-, =*
Time (sec)238 238.05 238.1 238.15 238.2 238.25 238.3
h
-0.2
-0.15
-0.1
-0.05
-0
0.05
-6x10
-,8 E ! '! -.6.,
quence (Hz)eFr200 200.5 201 201.5 202 202.5 203 203.5 204 204.5 205
h
10-12
-,. E 3 # ,
,=
Q" 2,/ 4 3 4 * 4 0 3 9 ,* & & 9
-,
12
+( 5
(" & '!, 12F 0 , ! _F 4 0"
-, =*
-,.., 0 * 9 0" M PF 4 Q" -,., C 0" I 0 " 3 _ , Q 0C C
-,
12
#F & 0F . 4, & I , & . 4 & #F & & ,
44 0 4 &" ?!F B 4F ! ?
* 4 G
E2 8 " $
M-,P
44 0 4 ! " I & " G
E2 2( 8 " E2 8 " 2( $
M-,6P
44 & G
5 $
/ M-,-P
3 5 3 ?, F & ? F "
9 4,
F 4 0 9 _ ? " 9 F% 0 5 &* 0D , ? &
0" 9 5 " 3F & I 4 I "F 5*, & 9 4 44 . .,
0I F .,
Q" -,.,
" 4 " & 4
F I 9 " 3 & " 4 4, F 4 & 4 , Q" -,.2 0" & 4 , 4
9 F% , 0+?9 ,
3 4
-, =*
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
5
10
15
20
25
30
2x10
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
2
4
6
8
10
12
14
16
18
2x10
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
100
200
300
400
500
600
700
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
5
10
15
20
25
2x10
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
2
4
6
8
10
12
14
16
18
2x10
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
100
200
300
400
500
600
700
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
5
10
15
20
25
2x10
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
2
4
6
8
10
12
14
2x10
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
50
100
150
200
250
300
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
5
10
15
20
25
2x10
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
100
200
300
400
500
600
700
800
900
quence (Hz)eFr533.62 533.64 533.66 533.68 533.7 533.72
Am
plit
ud
e
0
50
100
150
200
250
300
-,. E 7 0" " 3 5 , 4 " & ., M 9 "P 9 .
M 4 9 P,
Nombre de points0 20 40 60 80 100 120 140 160 180 200
Tem
ps
de
calc
ul (
s)
0
100
200
300
400
500
600
700
800
-4 102 T
-4 101 T-5 102 T
N3C
0 200 400 600 800 1000 1200 1400
3x10
Tem
ps
de
calc
ul (
s)
0
100
200
300
400
500
600
700
800
-4 102 T
-4 101 T-5 102 T
-,.2 E 3 4 ? 3 F% , : & $ 4 F% ,
+(6 *%
-,6 7
, : 5 " 3 4 , ! 4 92F 9 ,
" F 4 "F 0 05 =
4 34F 0 " , ? & 0 0 ,
9 ,
I F 4 0 3 9 , ! F 4 0 9 &, + , : *" A 4,
= F A 0 ,
+(+ ;
! ( 4 " 3F 0 4
( M& ,,P,
:
9 _ 0 M& -,P, ! 4
9 _F 0 . F(, 0 . D0F G
D0
F(
M-,/P
D0
M-,8P
, = 9 _ 0 F(F 3, 4 4 & 3 3 4 , &
, " & ,
&%
? & 5 F 0 & 3 # F 0 & 3 # / , ? 3 # / ,
..
-, =*
Q" -,.6 0 !722F * , " 3 Q" -,., !722 4 .,6 F & 0 3 "Q& 04 M 5 " &4 Q"-,.6 P, + F &DF B 4 0 "F 0
* $ M& 4 4 -,6P,
quence (Hz)eFr530 531 532 533 534 535
Tem
ps
(sec
on
des
GP
S)
7105.6
7105.8
7106
7106.2
7106.4
7106.6
7106.8
7107
7107.2
7107.4
5x10
-,. E =" 3 & 3
-,6 7
quence (Hz)eFr5.336 5.3365 5.337 5.3375 5.338
2x10
es d
e F
ou
rier
eM
oye
nn
e d
es t
ran
sfo
rm
10-17
quence (Hz)eFr5.336 5.3365 5.337 5.3375 5.338
2x10
qu
ence
eP
roje
ctio
n d
es d
iag
ram
mes
tem
ps-
fr
0
2
4
6
8
10
12
quence (Hz)eFr5.336 5.3365 5.337 5.3375 5.338
2x10
sult
ats
de
lan
alys
ee
R
0
0.5
1
1.5
2
2.5
3
3.5
4x10
-,.6 E 7 0 22, " 3 0" H 9 & !,
.
-, =*
quence (Hz)eFr
3.105 3.11 3.115 3.12 3.125 3.13 3.135 3.14
2x10Co
nte
nu
de
lam
as m
axim
al
0
0.5
1
1.5
2
2.5
3x10 opt fas erenepulsars g
opt 2*fas erenepulsars g
opt asultats autour du pulsar J0024-7204H eR
quence (Hz)eFr
3.105 3.11 3.115 3.12 3.125 3.13 3.135 3.142x10
h m
oye
n (
TF
=800
s)
10-18
10-17
10-16
opt
fas erenepulsars g
opt 2*fas erenepulsars g
opt a autour du pulsar J0024-7204H hspectre de
-,.- E % 3 # 0 2-2< 3 ,
Q" -,.8 -, 0 2-2CF & F 4
-,-
quence (Hz)eFr
6.23 6.235 6.24 6.245 6.25 6.255 6.26 6.265
2x10Co
nte
nu
de
lam
as m
axim
al
0
2
4
6
8
10
4x10 opt fas erenepulsars g
opt 2*fas erenepulsars g
opt 2asultats autour du pulsar J0024-7204H eR
quence (Hz)eFr
6.23 6.235 6.24 6.245 6.25 6.255 6.26 6.265
2x10
h m
oye
n (
TF
=800
s)
10-17
10-16
opt
fas erenepulsars g
opt 2*fas erenepulsars g
opt 2a autour du pulsar J0024-7204H hspectre de
-,./ E % 3 # 0 2-2< 3 3 ,
= F 0 " & " 4 F , :
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&& !
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(
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-,-
quence (Hz)eFr4.95 4.96 4.97 4.98 4.99 5
2x10
Tem
ps
GP
S (
s)
7.1056
7.1058
7.106
7.1062
7.1064
7.1066
7.1068
7.107
7.1072
7.1074
8x10
quence (Hz)eFr4.95 4.955 4.96 4.965 4.97 4.975 4.98 4.985 4.99 4.995 5
2x10
No
mb
re d
e p
oin
ts d
ans
la p
roje
ctio
n
0
0.5
1
1.5
2
2.5
2x10
Temps GPS (s)7.1056 7.1058 7.106 7.1062 7.1064 7.1066 7.1068 7.107 7.1072 7.1074
8x10
qu
ence
(H
z)e
Fr
4.95
4.96
4.97
4.98
4.99
5
2x10
-,.8 E =" 3 2-2C 0 3F " 3 G 9 28,
-, =*
quence (Hz)eFr4.975 4.976 4.977 4.978 4.979 4.98 4.981 4.982 4.983
2x10
es d
e F
ou
rier
(T
F 8
00s)
e
Mo
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ne
des
tra
nsf
orm
0.08
0.1
0.12
0.14
0.16
0.18
0.2
-17x10
quence (Hz)eFr4.975 4.976 4.977 4.978 4.979 4.98 4.981 4.982 4.983
2x10
No
mb
re d
e p
oin
ts d
ans
la p
roje
ctio
n
0
1
2
3
4
5
quence (Hz)eFr4.975 4.976 4.977 4.978 4.979 4.98 4.981 4.982 4.983
2x10
Co
nte
nu
de
lam
as p
rin
cip
al
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2.2
3x10
-, E 1" 3 # " 3 0
2-2C,
./
-,-
quence (Hz)eFr7.05 7.06 7.07 7.08 7.09 7.1
2x10
Tem
ps
GP
S (
s)
7.1056
7.1058
7.106
7.1062
7.1064
7.1066
7.1068
7.107
7.1072
7.1074
8x10
quence (Hz)eFr7.05 7.055 7.06 7.065 7.07 7.075 7.08 7.085 7.09 7.095 7.1
2x10
No
mb
re d
e p
oin
ts d
ans
la p
roje
ctio
n
0
0.5
1
1.5
2
2.5
3
3.5
4
Temps GPS (s)7.1056 7.1058 7.106 7.1062 7.1064 7.1066 7.1068 7.107 7.1072 7.1074
8x10
qu
ence
(H
z)e
Fr
7.05
7.06
7.07
7.08
7.09
7.1
2x10
-,. E =" 3 2-2! 0 3F " 3 G 0 H I " ,
.8
-, =*
quence (Hz)eFr7.082 7.083 7.084 7.085 7.086 7.087 7.088 7.089 7.09
2x10
es d
e F
ou
rier
(T
F 8
00s)
e
Mo
yen
ne
des
tra
nsf
orm
0.12
0.14
0.16
0.18
0.2
0.22
-16x10
quence (Hz)eFr7.082 7.083 7.084 7.085 7.086 7.087 7.088 7.089 7.09
2x10
No
mb
re d
e p
oin
ts d
ans
la p
roje
ctio
n
0
1
2
3
4
5
quence (Hz)eFr7.082 7.083 7.084 7.085 7.086 7.087 7.088 7.089 7.09
2x10
Co
nte
nu
de
lam
as p
rin
cip
al
0
2
4
6
8
10
3x10
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