АЛГОРИТМ РАСПОЗНАВАНИЯ КОНФИГУРАЦИЙ ЗВЕЗД

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  • 2, 20082

    629.78

    . . ,. . ,. . ,. . ,. . ,. . , . . ,. . ,. . ,. . ,. . ,

    , , . , .

    () [1] . [2] ( ) , . , [2, 3]. , , . , , x0y0z0 (. 1).

    , (. 2), . 1.

    . 2.

    , .

    ( [4])

  • 2, 2008 3

    . / 56m, () [5, 6]. .

    , . . , . : ( ) . .

    [6, 7]. ij i j , ij . [4] 5m ( 1620 ), . , , [6]. , (, [2]), , . : HIPPARCOS [4] T0 = J1991,25.

    ij . , ij ij [ (. . 2), ]( /2) .ij ij

    ST (). ST0 ij. [6],

    , : /2 .

    , , . 3 ( 01, , 23). Ori m = 0,18m, Ori m = 0,45m, Tau m == 0,87m, Ori m = 1,54m. . 3 , ST0, . , (0: 322) : 0 , 322 ; (2: 273) : 2 , 273 .

    .

    C A .ij A STk . C STk ST0 C. , . , C : .

    :

    1) ;

    2) ;

    . 3.

  • 2, 20084

    3) ;4)

    ;5)

    (). C

    ( ) , i = 0, n ( i = 1, , n). . , N(0, ), = 01/20 ( 6),

    { }01 02 03 12 13 23, , , , , = =C= {18,606; 26,494; 14,789; 21,389; 7,530;15,754} (n = 3) , . 4.

    Ori, Ori, Tau, Ori 1,5m, . .

    BC

    : . 4 { }01 02 03, , .C =B Bk

    , BC. BC (. 5): 22 Ori

    HIP87936, 1 =kB {18,587; 26,513;

    14,774} 2=kB {18,583; 26,483; 14,797}.

    R0, , , R1(r0), R2(r0), , Rn(r0), r0 R0.

    {0, i}, i = 1, 2, , n, ( ) . , S0i = {{k1, l1}0i, {k2, l2}0i, , {km, lm}0i}., {k, l} {0, i} 0 /2( ).ikl S0i : , k l kl, . kl, ,

    {0, i} , . N

    .2

    NN

    =

    (kl), , . 6. (. . 6, )

    . 4.

    . 5. !

    1kB

    2kB

    . 6.

  • 2, 2008 5

    ( ) 1 sin .2kl kl

    =

    , [min, max]:

    ( ) ( )

    ( )

    max

    min

    min max

    min max

    , d

    cos cos .2

    kl klN N

    N

    =

    =

    , :

    ( )( ). min max, ,k lV N V V V= + + (1) Vk = Vl k l; V , kl . , 2 2 kl [0, 60] V. 1921 .

    ( ) . ( ) , . , , N(min, max/2) 88 000 . kl, , , kl 0i {0, i},i = 1, 2, , n. . ( h) . , kl kl hj, j . , kl,

    ( ) floor klhash klh

    f =

    ( ) , ( ) kl . , . , . 7,

    h = 0,05, 0,1, 2 261 [0; 0,05),[0,05; 0,1), [0,1; 0,15) [13,05; 13,1).

    , :

    max min ceil

    h

    V V =

    (2)

    ( ), Vn ( ). h . Vn == 4 h = = 0,05 V 4,8 .

    () S0i (. . ) {0, i} : 0 /2i 0 /2.i + S0i , ( )0 /2 ,ikl , ( ). .

    max max , 3002 2

    h hN +

    .

    S0i Bk (. 8). R0 ( 0 N1). ( r0 R0) , n

    ( ) { }00 (0), (1), , ( )i i i i irR r r r r m= .

    S0i,

    . 7. ! !

    kl

  • 2, 20086

    {k, l} S0i :

    k : k == r0(j), Ri(k) l ( ) ( ): ;i iR k R k l=

    l : l = r0(j), Ri(l) k

    ( ) ( ): .i iR l R l k= ,

    :

    . ,n nV V c n N= (3)

    Vn ;cn , Ri. cn

    , Ri, . Vn = 2 ,cn = 15 V. 142 .

    STk Bk (. 9). . 1 , . 2

    . 8. !

    . 9. !

    i 0= i 1= i 2= i 3=1 781 87 761 6922 382 943 952 7323 382 793 952 7324 103 153 452 0335 223 783 372 7336 223 783 363 7337 133 632 752 614

    12 3121 0811 4431 071122 3121 0811 7611 071132 3121 0811 1901 071142 3121 0811 7011 0711

    1

    2

    10 20 30 21 31 321 326,81 574,62 767,41 446,72 289,03 771,322 506,81 684,62 487,41 857,34 943,33 078,313 116,81 684,62 487,41 245,43 571,92 078,314 326,81 384,62 797,41 122,91 139,03 362,145 606,81 494,62 987,41 983,12 035,7 457,516 606,81 115,62 987,41 446,14 035,7 965,047 785,81 415,62 477,41 913,92 341,23 786,73

    12 385,81 384,62 797,41 274,82 785,13 209,8322 385,81 994,62 797,41 238,34 785,13 742,2132 385,81 105,62 797,41 166,14 785,13 359,1142 385,81 305,62 797,41 960,51 785,13 729,33

  • 2, 2008 7

    ; (. . 8).

    . 1 , . 9, C (. . 4).

    C STk = 0,05 28 .

    C STk ST0 C. ST0 = |ST0| > 1 . . ( ), ST0 = .

    kl {k, l} AL . AL , .

    2 .

    2

    N NV V

    =AL (4)

    (N = 1620) VAL 2564 .

    , ,

    ( ) ().

    : , ; . V (1),(2), (4), V (3). V 4,5 , V = V. == 142 .

    . 3. , [2]. 10 . . : . IntelPentium IV 3,0 GHz. 16 .

    . , , ( , ).

    , , .

    Tau

    K

    ,

    ,

    K

    3 06 2 00001 7999 42 123 06 5 00001 1999 923 0133 06 01 9099 7689 0762 33423 05 2 00001 7999 61 513 05 5 00001 3999 712 1123 05 01 3599 3789 0371 57613 04 2 00001 4999 01 013 04 5 8999 2999 421 2313 04 01 4499 9889 969 83013 03 2 00001 4999 5 63 03 5 00001 5899 86 273 03 01 8989 7889 825 3552 06 2 5519 9719 88 482 06 5 5823 7093 145 8152 06 01 45 94 7512 97022 03 2 6139 0249 82 922 03 5 9855 2135 071 2812 03 01 563 412 476 217

    3

  • 2, 20088

    1. . ., . . . .: , 1974. 600 .

    2. . ., . ., . . / . . . . .: , 1993. 256 .

    3. / . . . , . . . .: , 1966. 328 .

    4. The HIPPARCOS and TYCHO catalogues. ESA, 1997.Vol. 116.

    5. . . . . .: , 1978. 216 .

    6. . . . : . 2005.

    7. . ., . . // . 1996. 7. . 1014.

    .

    . .

    . .

    , ,

    VIII SICPRO09

    26 30 2009 .

    : . . : 117997, @7, , , , 65

    ,

    ,

    ,

    , 31 2008 . , . , , .

    . . 31 2008 . .

    (doc tex) 31 2008 . .

    (

    ( ), ) . ( ISBN) .

    :117997, 7, , ,

    , 65 ,

    ;./: +7 (495) 3348990. : sicpro@ipu.rssi.ru;: http://www.sicpro.org/sicpro09/code/

    r09_01.htm