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(1)Astrométrie des occultations d’étoiles par les astéroïdes J. Berthier. To cite this version: J. Berthier. Astrométrie des occultations d’étoiles par les astéroïdes. Astrophysique [astro-ph]. Observatoire de Paris, 1997. Français. �tel-00011923�. HAL Id: tel-00011923 https://tel.archives-ouvertes.fr/tel-00011923 Submitted on 11 Mar 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published 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..

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(279) $M"!%.!%;  .@  <  %

(280) $7 F"!&?' 2 @<$

(281)     "4!!3

(282)   @ <   % 1

(283)   &!2D;

(284) $"9   $56%

(285) $O $  "42 U") G !  !%"*o'/" &'.

(286) #< gG !&8

(287) U  $

(288) %&'#;"493  $ 9  7. A. *B. e;/@"4 .& (=q'  $ 9 .M<.    @

(289)  'D  

(290) 2 !&$A!2/" &' 9  !&!%"&qN sS = 's. <\ bG !&E \"!%!2-!2q!2&.SH9\fe   a

(291)  +

(292) 9&*.&!&2 Š

(293) F @  '<dG $7 M'F  

(294) 2 'F!&F"  4S&<a"4 2FU' <  'M<< 

(295) 1&!3F = &*!2)  *2MdC"4Sl

(296) -  9&)  &Š" G xiKj "!  '*9  +'"4&_

(297) $D!2/"4&'M   &!2P "4;!&I"9   $56%

(298) $7 t 

(299) Q R]"4_/@"4 2 Mh)'  C"42!&!&   DJ=!&!219'

(300) !219./   CD

(301) $   %& 

(302) !2/"4&'M !2!%"& $]

(303)  M'  ' op9U

(304) $M!&. &' o' !& 

(305) M\'<  II &*.;"q G !2'*9  +'"4&a9V.9   <"4%J==7't~\ "4 &0 !&2'  

(306) &   M'<<1   

(307) Š"` G !%"E'  $ 2d    @  <    % D

(308) $    F !29DU<< =D&     !2  !&C"4/* 9+" 2 !%7 M   0.

(309) &N"49I!  2  E

(310) E!%"  W|C"&"4<= @  %J=E9.-!%"  $

(311) %&'(

(312) $ !2/"4&'M !2!%"& $P;!%")   2 O'*9  +'"4& M"'9 <     JK.7. (8. L31Q&B1  $ 9 1"/@"4 .&  UJK !%J='< "/"49'

(313)  ;

(314) $    %& A*;"F G !  "%

(315) c

(316) ; < g G !&D D A* 9+" 21  92  0 !&C"4& P   &!2A "D!21"9   $56%

(317) $7 M P $[@ //@ '3"4!&'/8"G "4<  !&2  $   %& O_ 2!& "4!&$M

(318) '  $F€M& . "4C= F!2   '&!&$DF M* 9+"0  &'"'9 <     JK.b 1!&$A"'9    56

(319) 7 M A+'"4!&

(320) 3"429. D< gG !&=]  &

(321) JK. 'P .;!&F!&1

(322) 2  &'P!2P .!&1&   "4  ; C92+

(323)  U /"+'"42!r7. h.

(324)    .   .  .  .  . .  .  . 

(325) 

(326)   "!$#%'& ()*!,+ -/. 0()1 2342-342 5 " Z"0 1 $O <TG  3* +'"4&'M #<'+=<

(327) ~  _"'9    56

(328) N9!")9 @>G  N  0 !& -W|

(329) U  "4!2%   M!&$M

(330) .&/U

(331) 

(332) = ^\   <`*E^wi'i#U

(333) ,^q:"

(334) +& )^w'i

(335) ^` "4 d .%9  L %" 7`6 "G  !  ;B *9  +'"4&E

(336) \L"4!2 <p7ƒM/"

(337) N!&;

(338) 2/UJ=19.&+&  

(339)  M U;: J= " ^^qW  +

(340) &U^ wi

(341) ^']R&!B

(342) Q  <"E-<\+=<\D_</"

(343) ;H"4C.  ' *2 N

(344) U  $G M

(345) =948 7 1 V  U  !"4>G  4<">= JK "4 ]9?'?    U "48X7;F:  .!&I ^58x <‚ .% "4< 7g€M/[@.! r $+  F C"4M ^uw

(346) ^;UˆD7+=@?g"'[@_ ^4uw

(347) = ]+="421  A  ;  '+= =7't~!2!&1W|I  92?    "41!%"U&;9 P!&.<

(348)  ^  V   G 7t +=<E* U^ wi

(349) ^'];): 7 ˆD7*Fd "  *.!&%"N9   !  < 

(350) CA*&C "4S  "4 .G I ".  '  F<  @ ;

(351) U"!%!T]=J=!& <%E<'%1"4 "4/"+'"4 * 9+=1!%"F 0  &U !%"RG  Š"4!2/8JKU!2   @  <    %  *!2  A:  J=  "!&CM "FX7 D//†@"4C

(352) ] €-7 7 ;!2*o / N7=L%" !%"F =&&."42

(353) ‰"F G  G 1

(354)  7  wU<"4CD^w'i

(355) ] )7 ˆD7    F" \ '+

(356) &_"d G  S&<2 \

(357)   $G s '+=!;"'9    56

(358) =]  ŠL"4!2!%"]D  &!1

(359) 2UJ=  2!%  /"&  .!&E

(360) )<' M )  EJ=)!  d"  !&!2) !%"RG  7 t~H^ w i]

(361) &S\"  56

(362) D"+'"42   U  '+=/D!  '  "&;J=F!"q!&9  C"42 < .!rG =7ƒM SU"4 A !& eC"4/ -!2

(363) ^  C"4&3  .+= R "1€-7 ;!  /@<

(364)    ^   %" /7Rt,^wKu hd'<< G   =!&M . <TG  $D* +'"4&'- o$ =  JK$.

(365) -"'9   $56%

(366) N

(367) &F "4Š€-7 1? !P  M!&!2<"?=]g"4!2C-J=€N7ALB"4 †@/   "!&%"42)!&U  <\rG F* +'"4&'s .@<   JK$"# G !  ;*9+'"4 '&# #€8"4 0   +"/ b7}r!g!&1 o'/&+&3: J= H^xi'i

(368) 7ˆ"E"G ! " 9 </" %

(369)

(370) <E*    "4)!2"4!!.

(371) ) += U

(372) \ o  &q .!%"4>G  - qWT""4  C"+"&!I? 

(373)  \ .

(374) -!2/D' *2 ]b C"4& "9 '<$M $% g G  "!&CM -< F U+

(375) )

(376) $ !2!%"4*'/"4&'- )' ?="%EE C"$+'"&!r7  9N"429cJK  ,^w

(377) ]2!W|) $ %   JKE!  ;*9+'"4 '&E

(378) LB"4 F* +=C"42q!2U"  56% F

(379)  )!"‚ !2& .` . d. A< B X8. gd. ,8 8 ,:. HV. : DFC EGD. e. X: B:. :. Xd. :. B. IH. @V <X= B JLK F9MONQPSRTRUNWX V CYPSN CZ[N E X\ C XU] EWZ XW^F_a`cb A X EedfPCegfN E X Z X MOP ^>X Eih XjXUk CDE X GlLfm X C GJfnpo6FqrgEihsN A ^F_ PAut CX V Eig4v wQZ XWx X V EX y AGz ]{_ N ^ Z|XV \ g ] d2EiN C XUk GJfm?GKpN ^~}]b^ NQPWZ XU]€‚\ P3CƒP ^ gp„ ]X ArZ _ X V CegfN ^>X A%K ^>XG} E X hsN X E XUk G%JpmI X\MOV gCiP gfk ^N XC ^>XUEiX hkAjP ŠX k ] F C‚E XUopk lSC 4h J†X X V A Ce] gfEN XT^>V X X A%A‚K Py A ] ^FN>_ d%PSNNQZ XUX k Z G%_ ]J?k G%I z ]} PPEDE C]Z k X‰P \Y]X E CD\YE ^>XX XUd kIX ED\CegN \ k P C ^ XUk Z PX k C‡GFa‹slfoShŒ o6PyFOˆ ^F_aX `cA b } A XgEeAidfN CiP N>Ceg gfk N A‰E X Z Z X XA 8.

(380) B. d. !%")+= !&!& .=]oC"4 %;JKN!  M* 9+" '& N

(381)  ; y%/@'*9+=/"&;  U!" += !&!& .` q!" !&2 p7 $-"4.  U9.&+'"4 ]R&!%W| U  :'&/M "4 !  ;* +'" 2  F" &'"4!;  "@&.? '  1 wwT71ƒM .%] .!&)

(382) du3i'ii("'9  0  56

(383) N9) "4/"!&'?  UU  $G q  i'iid C"40   .&N

(384) E !&U

(385) l^ii†

(386) <.

(387) H

(388) %"<dG  \92  $ `   'i  i 9'

(389) a9  p  S%  ] "4<% !&JK !%;JK !%J=F

(390)  "42;9'

(391) U   o   '      X y;xKu T]b!&"4F `G M.<E*  9  JK.& U

(392) E /@C[@NN  '*9  +'"4/E" G  /"+=CM!&E<'

(393) =7gƒM<"&R]>

(394) U0    /"42N "'9   56

(395) U9  -'*9  + U[@"'JK.`&UN'

(396)  2*" G  /"*!&2U " "'9   $ %N

(397)  9V.9 G <\9'!%"42 =]3& %9   "4*.!&H" G !%"d'<    @&

(398)   " - ;

(399) N "-W| <a"4 2R7. B. <. 2342-3. . V == X8 = = e f8 e. kŸ Ÿ ­1/)"Z" $nY¤-  p

(400) &)". $ F"  56% O   9  

(401) I- "4 &Š

(402) D $9 $O/"4  W|<   "4;!&U< .

(403) !%"#<a"4 TG  ) . &<\/ %"4!2E

(404) ,9V.9 G <\9!"42 =7 1< =  

(405) \ o' TG -Š

(406)  !%"   $ 9&<a"4SH%9E

(407) #!  Yg'

(408)   <q?'/"+&/" 2 !;

(409) !%"d  *!2#!"4&  2<&&+==] I<"4rG 1"F ")   <&g <\ A*.

(410) A .@  '<dG R  "   0  &'-3 D 9 &'R]"< "? $ R

(411) D/"4  W|<"4&'R[@.&<JK$]/

(412) V"<%J= F @. <JK.]. %"4E"` G !%")W| <a"4 2l

(413) M  !"4>G ]>

(414) F"'9    56

(415) M    "4 M .!%"4  &<"Sg7

(416) L] "48

(417)  @   <l G 

(418)

(419) ZY  "4 2R].

(420) -+='!%" &0 !&%"4&>]

(421)  "   &'`c

(422) MW|C"4?<\

(423) C"4&>]=<E*2  "S $ 9 "4$Pc"4  $ ? 

(424)    e "4!2  += !& . o <b A !"4>G ]!23"9   $56%

(425) $AB

(426) D<"T G  1 !&  ?     /"4!2U!&1 !%"   $ 9&<a"4SE-!&  < C"4rW| <  D ;

(427)  +=&I!&1 0  &R !%"RG  $JK.D!  Š "4&B<"42

(428) "4 "'9    56

(429) 3

(430) !%"8& . 1  22 "4!2=] <l G  ]K V=] 

(431) C"4]/"4 90| & ]'*:/

(432)  F2 o ]?    '%9 /] <      2 ]7&7&7 "H       

(433) #  d && "!&< =-!2)"  56% 

(434) !%"H2

(435)    2& "4!&_ !  JK_/"%9' J=_!&C`*&sW|'

(436)  "4 &H

(437) $`*&`!&$ <&.S _"!&!2<

(438)  71}r!%9'

(439) _92  $ ‚  d"4/_X 2  ‚!2C  ` "]1 [@$

(440) #!  !&& . %J=  Q?.7M^'7&^ /7IƒM  *.& $`]I "4E!%"z<": 2 .

(441) %"<dG  ;"  E+" "4*!2]b 

(442)  EJ=!%J=;†

(443) 2!&<lG  D i'i‚†<d]9.!%)^4j

(444) $ "9   $56%

(445) $ T

(446) 1!%"U

(447) 2<&)$91' 31 %"4<lG  9.   2;" G i'iq†<d]  ^    G   C"4M!2- !2M?=F   q S_"$+=$qx^ †< %Q?73^7 C7 M"   _ "`G !" 9 @> G  N  !29=]!%"-   9 ‰

(448) D/"V='M"  " /U") G !    =&&2

(449) W   2CF" G i<" U "Ux Kj F"'‰C"4 %FJ=)!&$O<"?2  F"4* 9!2  ;  /@!&'0 D )^i-8^  Q?.7b^'7 C7L/" JK <]= !%"-&?'ZQ‰JK  &! !"4 2+=<E

(450)    '*9  +=!2M"'9   $56%

(451) 8"4d< <\M& )J=-!2   '&!&$]<"%;JK  &!RM "4 "4% E  F

(452)  &!&;  \

(453) %1!%"MW|<;/"41!&.D"'9 ;D!"U9 @> G  U   !&  o'!r7  &<a"4?U+%!&!2N  H"'9   $56%

(454) N9U -G F&<2!%"& s" G !2!&N  .   '&!&p7 M'O ' M!2

(455) 9 2?.JK < "4C)J=U!  "  56% F = G

(456) . cV. :. D. 8. ,V. X8. 5=. 58. ?:. :. :. ;: Q. A. ]} P}E } xx;gXTFA ^X P EP ]\ ] g ADN EDAe^>E ^N Xg zA K } ]{g _ N kF ^ Z ZX gpXTN k CN CDXTCŠ7PSkK N C XYF € Py N AD^ FC P X ˆ E ^ ]N>h‰b]sN NXTX C kC X }P F ^>\ ] xC ]AGXUP XT^>]^>k‚X ZXTZ kXUX ^ P6gy Z;K\ X CiV\ Cg gfXb hs\ E CiXhN>g GkXrL^FLfZ _ PoX ADCZ\LX gVX EiAk g4C vwQ}~Z ^ X XPWCiN ZG%CDALN ADLfCY\ o P gk9E G}\Lˆ{XA%KopPy oh‡^Fg_PSP bN } A A X \LXTEeVXUd|^ ^ N PXX V A X EƒP N CZ X G%Ipn hsN ^ N A X4\ g k Z X Z X g E Z b X N „ C XEX V F M x n L6GG4o !F < A. . ).  .      !#"%$ '&. (. . . . .

(457) ’. Nombres de corps. ’. inclinaison (deg.). demi-grand axe (u.a).  ^'7&^F0

(458)         !"#

(459)  $&%')(**  ,+ (- .+/%.0!213(*  4 !56 7389:;/<=>?%@A  ?! B$ C .(-%D E

(460) 0+:69:++F $? G %@(-%H +7 

(461) IKJL!   ! M%'K ONQPSRT7UV?WYX Z[U\:]_^9` ’. Nombres de corps. ’. ?:. Diamètre (km). Magnitude absolue.  ^'7 -0

(462)       T  !"#

(463)  a%

(464) b(** [ -c+ (- +E%b!O13(*  B%!9 d

(465) :5$!G - SJLQ! ef g 5B h >ijkOZ^>! $C%!l5?:8  m: h:% WYX noPSpUE]`. u.

(466) )<.+=<

(467) g *.&/"! C"

(468)  "

(469) 3 "4BE  !" <R"4 . "4

(470) ~9!"M @>G    !&$9   /7 I"9   $56%

(471) $D

(472) F!"U& .  &2 "4!2

(473) $P<V=R<'+=</ < . %D 

(474)  Ni

(475) 72^  :;;i

(476) 7 h  :7 $M+

(477) 2 9"  "  898

(478) N<\  9 

(479)  Ni) 'i i @R]gŠJKR <I)    &'/"4 .%

(480)    _J=!%J=D<\&  .

(481) -*: /7 d"4-!&C J=!"‚+& $ 9a"4  "  -G - & p]A<<E  -!& "D .!&I"9   $56%

(482) $

(483) !&8

(484) <?'/"4 ‚"S

(485) N

(486) 8!  ' *2 ;9I?C"4.  !&$P C"40  & ` "‚ S

(487) <\ !&_

(488) '

(489) !"(+

(490) 2 9d"  "  

(491) HJ=!%J=E9$ 

(492) .

(493) ? )   $9U

(494) .=]b#WT"&]>JK  "4d<'+=< =;

(495) )!%"fR  C]b&!B

(496) +&8

(497)  a&!2N

(498)  !&I

(499) % &.?I

(500) $  &!2]'!&I<.+=<` 

(501) B"4  "4  

(502)   /"

(503) 1  WT"42*!&;   .   $ = ]3-  ;JK  "4  G  !&&./D@. d !292CA:CF  '*9  +'"4&>7 !   . op = ]'!&1"  56

(504) ?   9./1

(505) 1!%"F+& $ 9;"  "   I"   &

(506)  ^ii'i @  'iii @,9a

(507) % &.?-2<< 

(508) 2" <E=8

(509)   &!2]g<"4‰ "4  ‚2!;9C"# !& `

(510)  &!&\

(511) !&$-* +=)C"4)!%"d

(512) 9C"4 "/' .d9.`!" 9 @> G  N  !29U

(513) C"4!&U <\ D  S op92 &'_

(514) U!  2<"4?'M$9?C"4 =7. 2:. D. 5= 8. I8. A. e. K:. 2342-3. . kŸ  7-    /5» ¬P‘ &S UYZ" $!7 )"Y1%»' ­ )A"7Z" $%. 3L     

(515) 2B< .!rG <` =b!&$A"'9    56

(516) A     <& o!2R "4C"4<lG  R @V

(517) 0 9%J= r

(518) 2<&'R]4W|<=]'< =92 2R]9   c

(519) V"4<JK.  <'+=<E

(520)   *.&/"!r]<.+=<

(521) CP - '/" &'M!2&*O DW|/   cJ=R!&;"/"  %9 

(522)  ]&!R    "& I  < !2V=g

(523) ZY  

(524) o<   @ b* +'" &'!2!&39I

(525) 9&?'"4A "4 !&‚WT"&\JK  !2!&FW|%9` .!&),<2)

(526) &<U!&)< ) s "4/"0 <dG  q/@//@  ]AEJ=  !&!2q $  &

(527) ).#<9  U+ _ !& -n<'& 9 .@% %J=  p7 ƒNG P!21 $ +=    #^ wi

(528) ^']

(529) $~'*9  +'"4& "9 '<   %J=39'

(530) I  "!&%   o'U< ;!&$M =92 2U

(531) 8"9   $56%

(532) $M "4UC"4  )"S  2!&;"4C"4!2?   D_ $

(533) &M!2CP*&D ."4!&89V.9 G <89!"42   F" ]R^w'i C7bL3; !%"F.

(534) % &.?Š

(535) S"  [@$ o!  "'9 <     2F"*9'!&N;!  "'9 <   &8

(536) ZY  

(537) &!2!&=7  " <   2F"*9'!&N'99 s"G <9. 1!%"U =92 2_"4*!2N

(538) _ D "   > G  ;"  &*!2N"q G !  * 9+" .P .%]

(539) "% "4D!2A "/"<dG    &/" &'.

(540) )!%"Efe   _"E G !   oJ=Š

(541) -!  * 9+" 2R]B" G "4!!& ; "` =&&H?     JK.q  

(542) Qd@   !&&

(543)  JKp7  " <   2- ZY    

(544) &!2!&U'99EJK"

(545) s"a G  !&!&\" G <0  !"M =& 2\

(546) \  !"4 2+=<E

(547) ~"U G

(548)   2!&3"4C"4!2?   ]='9  C"4 JKN!&    2!&E"E G

(549) ;

(550) %/"4 &

(551) Q.&]3"` G "!%.!&;

(552) 2  < 

(553) 1"` =& 2 *"4V 

(554)  %J==7>ƒF"4-!"‚ C"4%J==]3 \"4  S

(555) 2<"4&H  9N "-&!2%   )-!"  

(556)   2E &?')"U G

(557)  =&& P@  !2& 

(558)  %J= |* "4 V. %J= b $ 90 9&" D!"‚"% "4    % `!"a p9&&'

(559) !  * 9+" .q "4-C"4  '  "# G !  '*:NJK  &!B* +==7 1) Sd<  @

(560) N9'

(561)

(562) \"    /@U!  \

(563)  !  " =7t!2!&I9N

(564) % 2? 

(565)  !2D "M!  & 9 </"  E<9; q.+

(566) -J=F "4 !&U  ' '!&Š

(567) - 

(568) &'R7  $ "4<'&]

(569) " <g!&"  !2%" &';

(570) NU9V N  '*0 9+" 2R]/"&B"4   I

(571)   92? </b "  !2&C7'L"41S< !2!&$ !2/"4&'`   &!2F  <    

(572) N

(573) <  - & $ <\

(574) 8!%"d

(575) 2<&H)!" W| <\;

(576) D"'9   $56%

(577) 1'<<I1!&;+= 1" "4C"4?'/"4 .@N92+"

(578)  ]/"

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