Документ взят из кэша поисковой машины. Адрес оригинального документа : http://chronos.msu.ru/old/RREPORTS/rimsha_makh.pdf Дата изменения: Sat Dec 14 13:21:45 2013 Дата индексирования: Fri Feb 28 20:24:10 2014 Кодировка: Поисковые слова: m 13

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. laimontas.rimsa@yahoo.com . viktor@pasvalys.lt

, , , .

1. .
, ­ , . ( .. ) . , , - . . , , - , , . , ( ) , . .. [19] , , ( , ) ; . , , , . , , , ( ), . , , - , - , , . .

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2. .
, . [1] , , , ( ) . , , . ­ ... , , , . , , [2] (. 474 ) , , . , g µ . , , , , - . , ( ) . . .. [3] , - : . " " , . ( ..... ) . , ... , , ( 0 - ( ). , . ), . [4] r d 2r = - grad (1) dt 2 , ( 1 ) , , r . a (t ) ,

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r rrr r r = r + a ( 2 ) rr &&r = - a ( 2 ) ( 1 ). , ( 2 ) 0 , . , ; ( 2 ) . , , . : , , ( 1 ) . , , , .

3. ( ) .
, ( ) ­ , - . i, j = 0,1,2,3 , µ , = 1,2,3 . - ds 2 = g ij dx i dx j = g 00 dx 0 dx 0 + g µ dx µ dx . dx 0 = ct , t - . , : - ( 2 ) ; c - ; - ( v2 2 ) ; c - ; - . ( ), - ( ) .

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. ds 2 = g 00 dx 0 dx 0 - dx µ dx µ 1 v2 d (1 - + ) dt 2 c2 c2

(3)

(4)

- , v - , - , t - ( ). , ( 4 ) , ( ) . ( 4 ) ( ) , ( ), . . [1]. rr R, V - rr r , w - rr ( R + r ) - t - T - = -U IAU [5],

rr 2 t r Vr 1V T = t - 2 [ + U ( R )]dt - 2 c t0 2 c

(5)



t . c2 ( 5 ) -

rr Vr

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1 c2

t


t
0

rr r r r d (Vr ) 1r dt = 2 [V (t )r (t ) - V (t 0 )r (t 0 )] dt c

(6)

, t 0 ­ ( TAI ), t . ( 6 ) , , . 5.5 [7] : . . , ( 6 ), , , - ( - ) . , . ( 6 ) 1 c2
t


t
0

rr tr tr rr r d (Vr ) 1 1 dt = 2 (U ( R)r )dt + 2 (Vw)dt dt c t0 c t0

(7)

( 5 ) , , ,

r 2 r 1V 1 dV r 1rr dT = dt - 2 [ + U ( R)]dt - 2 [ r ]dt + 2 V dr c2 c dt c

(8)

r r dr V dt - dt ( - ) .

, , , ; . , , , ( 5


). r r 1 V2 1 r dr dT = dt - 2 [ + U ( R)]dt - 2 V dt ( 10 ) dt c2 c , . , . , ( 5 ) , .

4.

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. , ( - ), ­ . ­ ( ) ,, . , r 1 dV r ( r ) pp 1 . R = 1AU , c 2 dt , c2 r pp 2 R 10 8 AU ( 11 ) V . , ( ) v2 pp 1 . c2 ( )

g

00

- -

G

00

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, ( ). , ( )
8 M - M , c2 g 00 0 - . ( ) r c2 r u - g 00 2 r r r 1 1 dV r 1 V 2 dT (1 + 2 ( R) - 2 r- )dt ( 12 ) 2 c2 c c dt
g
00



( (11 ) )

r r r r t t x µ x µ ( R) 1 dV r 1 V 2 2 V G00 g 00 - g 00 (1 - 2 + 2 r+ )- 2 c2 T T T T c c dt c r r ( R) 2 dV r G00 g 00 (1 - 2 2 + 2 r) c c dt

2 2

( 13 )

( r r 2 dV 1 g 00 2 ) c dt c4 8 G00 2 M - , c G00 0 - . ( )

r r r r dV c2 r c2 r 2 dV a - G00 - (g 00 + 2 )u- 2 2 dt c dt
( 14 )

( 14 )

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r rr r r r dV c2 r c2 r a u- - {g 00 ( R + r )} + {g 00 ( R)} dt 2 2
. ( ) 0 , . , , . , , ( ). , ­ . , , , - . , .. , [2](. 475) , . . , , , . , . . . [8] ( . 335 ) , , . ­ . , , . "" "" , , - "" . "" "" . , . , , , ; , , , - .

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. [9] ( . 180 ) , , , , , , , , , , . "" , , . , ( , ) , , . , ( ­ ). , , , r r , G00 0 ( 0 ) ? . 2 2 G00 1 + 2 + 2 , c c . , = 0 . , [2] ( .272 ) , = 0 , , , = 0 . ­ ( ) .. [2] ( . 468 ) . ( ), , ( - ), ( , ) . ­ ( ) ( . . ) . .

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5. - .
, g ij = ij + hij , ij - , hij - . , . , , . , , ( , , .. [11] ). , ( - ), hij ij ( , , , , , ) . .. .. [10] , , , ( ) , , , . . , , , , . , , . , ( ) ­ . , , , , , . , - , , - , -. ( ­ ) . ,

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. , [12] , [13] (c. 127 ). , , . , ( ) , . [14] , - . ( ) [12] , , , . , . , , . . , . , , , ( - ) ( ) . , . , , , . , . ... , . , - , . ( ) .

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. N 2 = N1 (1 + c 2 ) - N = N1 c 2 - N = f 0 t

f 2 = f1 = f 0 t = t1 c 2

N1 f0 , , . N = f t t 2 = t1 = t ( ) f = f1 c 2 , 1 - t = - 2 dtV 2 2c , ( ). N 2 ( ) N 1 ( t ), , N 2 - N1 - = -1+ 2 2 1 N1 t c () . . t1 =

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6. .
3.1 .. [6] 230,5 . , 1 2 1 2 1 2 , ., d 1 d 2 ns t - 22 June - = 14,8 (sin 2 - sin 1 ) cos( ) dt dt day 365 . , , , . 15 . , ,, " . ­ . ( - ) - . , , . , . , GPS . GPS [18] , , , . , [15] [16] [17] , , , .

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S.M.Kopeikin astro-ph/0610022v2 .. , 1961 .. 136, . 3, 1982 . 89, . 1, 1966 M. Soffel,S.A. Klioner et all astro-ph/0303376v1 .. http://www.astronet.ru/db/msg/1170927 7. .. http://www.astronet.ru/db/msg/1190817 8. . 1972 9. . 1975 10. .. , .. 155, . 3, 1988 11. A.A. Logunov gr-qc/0210005 12. . , 2 , 2 , 40-58 (1996) 13. .,. ,. 14. ..,.. 165 2 205-211 (1995) 15. Scott R. Chubb Astrophysics and Space Science vol. 213 , no1 , p 63-73 (1994) http://adsabs.harvard.edu/abs/1994Ap&SS.213...63C 16. Tom van Flandern and Thomas B.Bahder http://metaresearch.org/cosmology/gravity/vanflandern.ppt 17. Thomas B.Bahder gr-qc/9811009 18. N.Ashby http://relativity.livingreviews.org/Articles/lrr-2003-1/ 19. .. T.LIX , . 1, 1956

1. 2. 3. 4. 5. 6.

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