ࡱ> dhacei5@0bjbj22>XXF8!FY$.H'"j'j'j'j'j'j'WWWWWWW$YR\>W'j'j'''Wj'j'X333'j'j'W3'W3"3(3N'Pj'$ `4n(O QX0Y PZ\^0Z\4'P :'PZ\;P''3''j'V' 'WWFFʣz2FFʣ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d = D = 90 803> :>;5A0, <4C;L C?@C3>AB8, 0 (/ <2) Ed = 2.06 * 1011 @545; B5:CG5AB8, 0 (/ MDD8F85=B C0=A>=0  d = 0.3 D = 0.3 (5@>E>20B>ABL ?>25@E=>AB8, <:< Rzd = 5 RzD = 6.3 @CBOI89 <5=B  , =*=0;L=KE =0BO3>2 A?>;L7CO >48= 87 4>2 @0AGQB0 ?>A04>: A =0BO3>< [1, 3, 4, 5] 8 4@., 2KG8A;O5< 7=0G5=8O =08 @0AGQB=>3> =0BO30, >15A?5G820NI53> 27084286=>ABL A>548=O5;LH53> @0AG5B=>3> =0BO30, >?@545;ONI53> ?@>G=>ABL A>548=O5<KE 45B0;59. =0G5=85 =08 @0AG5B=>3> =0BO30 >?@545;O5BAO ?> D>@<C;5, <:5 :>=B0:B=>5 M:A?;C0B0F8>==>5 402;5=85 ?@8 459AB288 :@CBOI53> MDD8F85=B B@5=8O, f = 0,15; n - :>MDD8F85=B 70?0A0 ?@>G=>AB8 A>548=5=8O, n = 1,5 - 2; D = d  =><8=0;L=K9 480548=5=8O, 548=5=8O, MDD8F85=BK 0<M: !D = EMBED Equation.3  , !d =  EMBED Equation.3  , 345 d1  2=CB@5==89 480;K9), <.  =0H5< A;CG05 d1 = 0; d2  =0@C6=K9 4803> :>;5A0, 4AB02;OO ?>;CG5==K5 7=0G5=8O 25;8G8= ?>;CG8<, <:;LH89 @0AG5B=K9 =0BO3 >?@545;O5BAO ?> D>@<C;5, <:?,  =081>;LH55 4>?CA:055 402;5=85 =0 ?>25@E=>AB8 20;0 8;8 2BC;:8, 0: =0 ?>25@E=>AB8 2BC;:8 >BACBAB2CNB ?;0AB8G5A:85 45D>@? d"  EMBED Equation.3  0 =0 ?>25@E=>AB8 20;0 >BACBAB2CNB ?;0AB8G5A:85 45D>@<0F88 ?@8= EMBED Equation.3 =172 <:48?@02:C : @0AG5B=><C =0BO3C =0 A2=>AB59 ?>25@E=>AB8 45B0;8 Urz >AB0;L=K5 ?>?@02:8 6=> ?@8=OBL @02=K<8 =C;N [1,3,4]. Urz = 2k(RzD + Rzd )= 2* 0,5 (6.3 + 5) =11,3 <:MDD8F85=B, CG8BK20NI89 2KA>BC A2=>AB59 >B25@AB8O 2BC;:8 8 20;0. ;O ?@8=OB>3> 40 A1>@:8 (A =03@52>3> :>;5A0) ?@8=8<05?@02:8 25;8G8=K 3@0=8G=KE 4>?CAB8=0;L=KE =0BO3>2 4;O 2K1>@0 ?>A04:8 1C4CB @02=K: Nmin D = Nmin @0AG + Urz = 3 + 11.3 = 14.3 <:< Nmax D = Nmax @0AG + Urz = 172 + 11.3 = 183.3 <:@ AB0=40@B=>9 ?>A04:8 ?> =081>;LH54O 87 CA;>28O, GB> =0BO3, >15A?5G82059 ?>A04:>9 (!" 25347-82), 4>;65= 1KBL =0;L=>3>: Nmax = es  EI ?@545;O5;LH55 4>?CAB85 7=0G5=85 25@E=53> >B:;>=5=8O 20;0: es < Nmax D  EI = 183.3  0 =183.3 <:65=8O ?@82545=K @5:><5=4C5A04:8 2 A8AB5B25@AB8O. @8 873>B>2;5=88 >B25@AB8O ?> A54L 2>AL;CG5=8O =0BO30 8A?>;L7CNBAO ?>;O 4>?CA:>2 20;>2: 4;O 7  @6, 36, s6, s7, t6, u7 (?>A04:8 7/@6, 7/36, H7/s6, H7/s7, H7/t6, H7/u7); 4;O 8 - s7, u8, x8, z8 (?>A04:8 H8/s7, H8/u8, H8/x8, H8/z8). K1@02 >B:;>=5=8O, A>>B25BAB2CNI85 MB8;O?CA:>2 ?> B01;. 2 ?@8;>65=8O (!" 25347-82) 8;8 ?> [4, 6, 8] 8 4@., ?@>25@O5;=5=85 =5@025=AB20 ?> 25;8G8=5 25@E=53> >B:;>=5=8O 20;0 4;O @0AA<0B@8205;59 4>?CA:>2 20;>2. 90x8: es = +178 <:< < (183,3 <:< = Nmax D ); @8=8<05;5 4>?CA:0 90u8 (es = +178 <:<, ei = +124 <: es ;=O5BAO. AE>4O 87 CA;>28O (Nmin = ei - ES) > Nmin D, >?@545;O5;LH55 4>?CAB85 7=0G5=85 25@E=53> >B:;>=5=8O >A=>2=>3> >B25@AB8O: ES < ei - Nmin D = +124 -14.3 = 109.7 <:< ?@545;O5B:;>=5=8O ?>;59 4>?CA:>2 >A=>2=KE >B25@AB89 ?> B01;. 3 ?@8;>65=8O (!" 25347-82). 7 ?>;CG5==KE >B:;>=5=89 2K18@05B:;>=5=8O, >15A?5G820NI85 2K?>;=5=85 =5@025=AB20: 90 8: ES = + 54 < 163.7 <: 2K?>;=O5BAO; @8=8<05;5 4>?CA:8 908 (ES +54 <:<5=4C5A04:C 90 H8/u8., >15A?5G820NICN 2K?>;=5=85 =5@025=AB2. 2.2.3 =0;87 2K1@0==>9 ?>A04:8 A =0BO3>;=89 ?>A04:8 908/u8 (B01;. 2.2), ?>AB@>8;>65=8O ?>;59 4>?CA:>2 (@8A. 2.2) 8 >1>7=0G8A04:C A>548=5=8O 8 ?>;O 4>?CA:>2 A>?@O305<KE 45B0;59. "01;8F0 2.2 0820=85B25@AB850; 1>7=0G5=85 ?>;O 4>?CA:090890 u8 5@E=55 >B:;>=5=85, <:< 86=8B:;>=5=85, <:;LH89 ?@545;L=K9 @07<5@, << 08<5=LH89 ?@545;L=K9 @07<5@, <?CA: @07<5@0 <;LH89 =0BO3, << 08<5=LH89 =0BO3, <?CA: ?>A04:8, <<TN = TD + Td = Nmax - Nmin = 0,108  EMBED KOMPAS.FRW  8A. 2.2. !E5;>65=8O ?>;59 4>?CA:>2 ?>A04:8 908/u8  8A. 2.3. -A:87K A>548=5=8O 8 A>?@O3051>7=0G5=85A04:8 8 ?>;59 4>?CA:>2 3. ! ( '/ (!" 3325-85*, !" 520-89*) .1 040=85 0; 2@0I05BAO, :>@?CA @54C:B>@0 =5?>42865=. 84 ?>3@C65=8O =0@C6=>3> :>;LF0 -  - F8@:C;OF8>==K9. A520O =03@C7:0 =0 >?>@C >BACBAB2C5B. >4>1@0BL ?>A04:8 2=CB@5==53> 8 =0@C6=>3> :>;5F ?>4H8?=8:0. K?>;=8BL 0=0;87 ?>;CG5==KE ?>A04>:. >AB@>8BL AE5;>65=8O ?>;59 4>?CA:>2. 1>7=0G8BL =0 MA:870E ?>A04:8 A>548=O5;O 4>?CA:>2 MB8E 45B0;59. AE>4=K5 40==K5 4;O @0AG5B0 ?@82545=K 2 B01;. 3.1. "01;8F0 3.1 >4H8?=8:0 212 ;0AA B>G=>AB8 0 D, << 60 d, << 110 B, << 22 r, << 2.5 d70?, < 300 % 5H5=85 K1>@ ?>A04:8 2=CB@5==53> 8 =0@C6=>3> :>;5F @0480;L=>3> >4=>@O4=>3> ?>4H8?=8:0 212 (60 E 110 E 22) 0-3> :;0AA0 B>G=>AB8. >A04:8 :>;5F H0@8:>2KE 8 @>;8:>2KE @0480;L=KE ?>4H8?=8:>2 =0 20; 8 2 >B25@AB85 :>@?CA0 2 7028A8AB8 >B 2840 =03@C65=8O !" 3325-85 @5:>>B25BAB288 A B01;. 5 ?@8;>65=8O 8;8 8A?>;L7CO @5:>ABL =03@C7:8 =0 ?>A04>G=K5 ?>25@E=>AB8: :=  EMBED Equation.3  , 345 1 - @01>G0O H8@8=0 ?>A04>G=>3> <5AB0, 4H8?=8:0,  0,022 ;5F ?>4H8?=8:0, 3 = 0,005 <; :@ - 48=0MDD8F85=B ?>A04:8. 028A8B >B E0@0:B5@0 =03@C7:8: ?@8 ?5@53@C7:5 4> 150%, C;G:0E 8 281@0F88 :@ = 1; ?@8 ?5@53@C7:5 4> 300%, A8;L=KE C40@0E 8 281@0F88 :@ =1,8; F - :>MDD8F85=B, CG8BK20NI89 AB5?5=L >A;01;5=8O ?>A04>G=>3> =0BO30 ?@8 ?>;>=:>AB5==>@?CA5: ?@8 A?;>H=>MDD8F85=B =5@02=>AB8 @0A?@545;5=8O @0480;L=>9 =03@C7:8 <564C @O40;8:>2 2 42CE@O4=KE :>=8G5A:8E @>;8:>?>4H8?=8:0E 8;8 5==K?>4H8?=8:0A52>9 =03@C7:8 =0 >?>@C. ;O @0480;L=KE 8 @0-480;L=> -C?>@=KE ?>4H8?=8:>2 A >4=8< =0@C6=K< 8;8 2=CB@5==8;LF>;CG05< :=  EMBED Equation.3 =  EMBED Equation.3  = 1800 :/ =0945==>28O< 7040G8 2K18@05;5 4>?CA:0 ?>A04>G=>9 ?>25@E=>AB8 20;0, A>548=O59 A F8@:C;OF8>==> =03@C65==K< 2=CB@5==8;LF> B01;. 6 ?@8;>65=8O. >;5 4>?CA:0 20;0 -n6. >;5 4>?CA:0 >B25@AB8O 2 :>@?CA5 ?>4 =0@C6=>5  =03@C65==>5 :>;LF> 2K18@05< 2 7028A8AB8 >B ?5@53@C7:8, B8?0 :>@?CA0 (@07J5<=K9 8;8 =5@07J54H8?=8:0 (?@8;., B01;. 7). >;5 4>?CA:0 >B25@AB8O 2 :>@?CA5  H7. ?@545;O52K5 7=0G5=8O >B:;>=5=89 4;O MB8E ?>;59 4>?CA:>2 20;0 8 >B25@AB8O 2 :>@?CA5 A>3;0A=> B01;. 2,3 ?@8;>65=8O (!" 25347-82) 8;8 [4, 1, 8]: >B:;>=5=8O 20;0 60 n6 es = +39 <:<; ei = + 20 <:B:;>=5=8O >B25@AB8O 2 :>@?Cc5 110 7 ES = + 35 <:<; EI = 0 <:2K5 7=0G5=8O >B:;>=5=89 4;O ?>;59 4>?CA:>2 ?>4H8?=8:0 L0 l0 (:;0AA B>G=>AB8 0) >?@545;O5 B01;. 8, 9 ?@8;>65=8O (!" 520-89, !" !- 774, ! 199, ! 492) 8;8 [4,6, 8]: >B:;>=5=8O >B25@AB8O 2=CB@5==53> :>;LF0 60 L0 ES = 0; EI = -15 <:B:;>=5=8O =0@C6=>3> :>;LF0 ?>4H8?=8:0 110 l0 es = 0; ei = - 15 <:A04:0 2=CB@5==53> :>;LF0 ?>4H8?=8:0 =0 20; - 60 L0/n6 (A =0BO3>A04:0 =0@C6=>3> :>;LF0 8 >B25@AB8O 2 :>@?CA5 - 110 H7/l0 (A 707>@>AB@>8< AE5;>65=8O ?>;59 4>?CA:>2 (@8A. 3.1 8 @8A. 3.2) 8 >1>7=0G8;>65=8O ?>;59 4>?CA:>2 2=CB@5==53> :>;LF0 ?>4H8?=8:0 8 20;0  8A 3.1 0A?>;>65=8O ?>;59 4>?CA:>2 =0@C6=>3> :>;LF0 8 >B25@AB8O 2 :>@?CA5  8A. 3.3 1>7=0G5=8O ?>A04>: ?>4H8?=8:>2 :0G5=8O =0 A1>@>G=KE G5@B560E. 3.2.2 =0;87 2K1@0==KE ?>A04>: K?>;=89 ?>A04:8 60 L0/n6 (B01;. 3.2). "01;8F0 3.2 0820=85B25@AB850; 1>7=0G5=85 ?>;O 4>?CA:060L060 n6 5@E=55 >B:;>=5=85, <:< 86=8B:;>=5=85, <:;LH89 ?@545;L=K9 @07<5@, << 08<5=LH89 ?@545;L=K9 @07<5@, <?CA: @07<5@0 <;LH89 =0BO3, << 08<5=LH89 =0BO3, <?CA: ?>A04:8, <;=89 ?>A04:8 110 H7/l0 (B01;. 3.3). "01;8F0 3.3 0820=85B25@AB850; 1>7=0G5=85 ?>;O 4>?CA:01107110 l0 5@E=55 >B:;>=5=85, <:< 86=8B:;>=5=85, <:;LH89 ?@545;L=K9 @07<5@, << 08<5=LH89 ?@545;L=K9 @07<5@, <?CA: @07<5@0 <;LH89 707>@, << 08@, <?CA: ?>A04:8, <4>1@0BL @07=:8 4;O A>548=5=8O H:820 A 20;>A04:C H:820 =0 20; 8 ?>A04:8 H?>=:8 A ?07>>B25BAB288 A 20@80=B>;=8BL 0=0;87 ?>;CG5==KE ?>A04>: H?>=:8 A ?07>AB@>8BL AE5;>65=8O ?>;59 4>?CA:>2 MB8E A>548=5=89. 1>7=0G8BL =0 MA:870E ?>A04:8 A>548=O5;O 4>?CA:>2 45B0;59 A>548=5=8O. AE>4=K5 40==K5 4;O @0AGQB0 B01;. 4.1 "01;8F0 4.1 ;8=0 H?>=:8 l, << l = 80 80<5B@ 20;0, <=>G=>3> A>548=5=8O =>@5 5H5=85 > 40==K65=8O, B01;. 10 (!" 23360-78, !" !- 189) 8;8 [4, 1, 9] 4;O 20;0 56 <48=:8 b E h = 16E10<< 8 H8@8=C ABC?8FK H:820 lA = 120 < l, 345 l- 4;8=0 H?>=:8. >?CA:8 =0 3;C18=C ?07>2 20;0 t1 , 8 2BC;:8 t2 >?@545;O5 ?@8;>65=8N, B01;. 11 (!" 13-57 8 !" !- 645-77): t1 = 6+ 0.2 8;8 d  t1 = 56 - 6 = 50  0.2 t2 = 4.3+ 0.2 8;8 d + t2 = 56 + 4.4 = 60,4+0.2. @545;L=K5 >B:;>=5=8O @072 ?> H8@8=5 ?070 20;0 8 ?070 2BC;:8 4>;6=K A>>B25BAB2>20BL ?>;O?CA:>2 !" 25347-82: ?@8 =>@548=5=88: =0 20;C N9, 2> 2BC;:5 JS9; @545;L=K5 >B:;>=5=8O =0 H8@8=C H?>=:8 CAB0=02;820NB ?> h9. !>?@O65=85 H?>=:8 A ?07>@=>G=>548=5=88) 1C45B >ACI5AB2;OBLAO ?> ?>A04:5 16N9/h9, 0 A ?07>4=K5 ?>A04:8). B:;>=5=8O =0 =5A>?@O305<K5 @07B>@K5 @5:>48 ?@8;>65=8N, B01;. 2, 3 (!" 25347-82) 8;8 [4,6, 8] 8 4@.: =0 2KA>BC H?>=:8 10h11 = 10->.090; =0 4;8=C H?>=:8 80h14 = 80 -0.740; =0 4;8=C ?070 20;0 80H15 = 80 +1.400  A>>B25BAB288 A @5:><5=40F8O<8 [1, 3, 4] ?@8=8<05A04:C H:820 =0 20; 56H9/h9. > ?@8;>65=8N, B01;. 2, 3 (!" 25347-82) =0E>48B:;>=5=8O, A>>B25BAB2CNI85 ?@8=OBK;O?CA:>2: 4;O H8@8=K H?>=:8 bH? = 16h9 es = 0 ei = - 43 <:<; 4;O H8@8=K ?070 20;0 2 = 16N9 ES = 0 EI = - 43 <:<; 4;O H8@8=K ?070 2BC;:8 2B = 16JS9 ES = +21 <:<, EI = -21 <: =0945==K< 7=0G5=8OB:;>=5=89 G5@B8< AE5;>65=8O ?>;59 4>?CA:>2 (@8A. 4.1) .  8A. 4.1. !E5;>65=8O ?>;59 4>?CA:>2 ?>A04>: H?>=:8 A ?07>7=0G5=85 ?>A04>: H?>=>G=>3> A>548=5=8O =0 G5@B565 5. '    5.1 040=85 A?>;L7CO 7040==K5 ?> 20@80=BC @07 40==KAB0NI85 >A52K5 8 480<5B@0;L=K5 @074O 87 >A>15==>AB59 :>=AB@C:F88. 5.2 5H5=85 AE>4O 87 ?@82545==KE 2 7040G0E 2, 3, 4 480<5B@0;L=KE @072 ABC?5=59 20;0, =07=0G05AB0NI85 @07:070=K =0 @8A. 5.1. 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