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HAL Id: tel-00003878 https://tel.archives-ouvertes.fr/tel-00003878 Submitted on 1 Dec 2003 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Etude de méthodes d’analyse en vue de détecter les ondes gravitationnelles émises par des pulsars avec l’interféromètre Virgo Julien Ramonet To cite this version: Julien Ramonet. Etude de méthodes d’analyse en vue de détecter les ondes gravitationnelles émises par des pulsars avec l’interféromètre Virgo. Cosmologie et astrophysique extra-galactique [astro-ph.CO]. Université Joseph-Fourier - Grenoble I, 2003. Français. <tel-00003878>

Etude de méthodes d'analyse en vue de détecter les ondes

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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.

    Larchive ouverte pluridisciplinaire HAL, estdestine au dpt et la diffusion de documentsscientifiques de niveau recherche, publis ou non,manant des tablissements denseignement et derecherche franais ou trangers, des laboratoirespublics ou privs.

    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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    Timing information (Cm)

    ,. E :" * , MQ" G %P

    + 5 "& 3 , > 5 . - " (" +': 4 9 3* * " N6.O, * 0 (" +': 9 *, . - &F I " N6O,

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    Temps (sec)0.7405 0.741 0.7415 0.742 0.7425

    Co

    un

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    -8

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    0 2 4 6 8 10 12 14 16-0.006

    -0.004

    -0.002

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    0.002

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    0 2 4 6 8 10 12 14 16-0.0015

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    0 2 4 6 8 10 12 14 16

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    0.39 0.395 0.4 0.405 0.41 0.415

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    / 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

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    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

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    / 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

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    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

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    , E 7 * 3 33 ,

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    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

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    16

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    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

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    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

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    16

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    Temps GPS (s)7.123176 7.123178 7.12318 7.123182 7.123184 7.123186 7.123188

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    16

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    Temps GPS (s)7.17760448 7.1776045 7.17760452 7.17760454 7.17760456 7.17760458 7.1776046 7.17760462

    8x10

    eN

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    c al

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    16

    17

    18

    19

    20

    21

    Temps GPS (s)7.19865 7.19866 7.19867 7.19868 7.19869

    8x10

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    16

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    Temps GPS (s)7.3646615 7.364662 7.3646625 7.364663 7.3646635 7.364664 7.3646645 7.364665 7.3646655 7.364666

    8x10

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    17

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    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

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    Temps GPS (s)7.377162 7.3771622 7.3771624 7.3771626 7.3771628 7.377163 7.3771632 7.3771634 7.3771636

    8x10

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    16

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    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

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    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

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    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

    $ !

    !

    $

    $

    $

    $

    $

    $

    (-

    (-

    --

    M,P

    < !

    $ $

    $

    $

    M,2P

    4 4 " 9 F $ = $ = F 0 . %, F $ =

    F F $ = $,

    -

  • , ! "

    iP2

    P1plan orbital

    plan du ciel

    priastre

    apoastre

    ligne des nuds

    O

    C

    O'

    pulsar

    P

    A

    r

    , E 1 4 0 * 4F 0,

    5 ""4 F 5 < M " ,,.P,

    0? ##

    & 4 $ 5 =

    M 3 0 * & * 4

    4 ! * !P, 4 & " &F Q" ,, + 0 G

    + $ + !

    $

    M,P

    6

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    $

    +

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    <

  • , & %14

    B " , 0& & F 0 !7.8.X.6 N8.O, 0 M,P 0L ^L, 1 I 3U F 0 ,

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    ++ $ ++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,

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    0 0 "& 3 / 0 "& 0 ? M P

    0 0 0" B " 0 0" 3

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    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

  • ,

    " :

    # ## $ $

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    MF FAP

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    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 ,

    :

    # ## $ $

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    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)

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    4 ! * ! " = F F 5,

    /.

  • , ! "

    Temps (jours)2452 2453 2454 2455 2456 2457 2458 2459

    3x10

    ren

    ce d

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    tess

    e (m

    m/s

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    Dif

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    0

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    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 & &/,

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    " (" 3 F "& & * 4,

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    /

  • &

    #

    * , " 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

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    ,

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    , = F 9 5 =

    &4 & F H &

    F & " * 4, 0 " & & F & & 2 F & ,

    /-

  • 6, *

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  • 6, !

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    , + 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

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    (."" $$!

    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

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    ars

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    aire

    s

    0

    1

    2

    3

    4

    5

    6

    7

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    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

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    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&

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  • 6,- " 3

    %& !4 "0)

    Q" 6, " 3 Q" 6,2, + 4F 9 F 0

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    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

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    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

    * ,

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    " 9 9# M6,.P 3 Q" 6,., &

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    > 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

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    5000

    , .26 ",

    -5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000-5000

    -4000

    -3000

    -2000

    -1000

    0

    1000

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    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

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    2

    2.5

    3

    6,. E F & ( E 9 ,

    3U & M Q" 6,..P G

    !

  • 6, *

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    Soleil

    x

    y

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    : point vernal temps To

    6,.. E 0

    &,

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    & 6 P, 0 & & G

    ,

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  • 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%

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    28%

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    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

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  • '

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    4 3

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    & !) -

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    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

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    102

    -,2 E ( M 3 F+P & & 4 M

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    , = F 3 & 4 6 F 04 * F * 0 * ; , F 0 ("F F LL, F 3 F & 0& , " Q 0

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    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

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    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

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    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

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    Fr

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    532.4

    532.6

    532.8

    533

    533.2

    quence (Hz)eFr532.55 532.6 532.65 532.7 532.75

    Tai

    lle d

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    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

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    532.4

    532.6

    532.8

    533

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    mas

    max

    imal

    0

    2

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    6

    8

    10

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    14

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    18

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    Temps (s)0 10 20 30 40 50 60 70 80

    4x10

    qu

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    532.4

    532.6

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    Tai

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    mas

    max

    imal

    0

    10

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    2x10

    -, E +@ " 3 F !722 M05 =

    H & P,

    ...

  • -, =*

    quence (Hz) eFr10 10

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    = 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 .

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    F * 4 4 0 3 9 F 04 3 4F , =

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    quence (Hz)eFr285 286 287 288 289 290

    Tem

    ps

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