ࡱ> VU Fɀ\puser Ba= =R8V@"1Arial1Arial1Arial1Arial1Arial1 Arial1 Arial1Arial1Arial1@Arial1Arial1Arial1Arial1 Arial1Arial1 Arial1Symbol1Arial1Arial1Arial1 Arial1Arial1Arial "R$ "#,##0_);\("R$ "#,##0\)% "R$ "#,##0_);[Red]\("R$ "#,##0\)&!"R$ "#,##0.00_);\("R$ "#,##0.00\)+&"R$ "#,##0.00_);[Red]\("R$ "#,##0.00\)=*8_("R$ "* #,##0_);_("R$ "* \(#,##0\);_("R$ "* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)E,@_("R$ "* #,##0.00_);_("R$ "* \(#,##0.00\);_("R$ "* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_)"R$"#,##0_);\("R$"#,##0\)#"R$"#,##0_);[Red]\("R$"#,##0\)$"R$"#,##0.00_);\("R$"#,##0.00\))$"R$"#,##0.00_);[Red]\("R$"#,##0.00\):5_("R$"* #,##0_);_("R$"* \(#,##0\);_("R$"* "-"_);_(@_)B=_("R$"* #,##0.00_);_("R$"* \(#,##0.00\);_("R$"* "-"??_);_(@_) 0.0000 0.000000000000.000000000000 0.00000E+000.0000000000000000.000000000000000E+00 0.000000.0000000000000000E+000.0000000000000E+000.000000000E+00 0.000000000 0.000000 0.0000000 0.0E+00 0.0000E+00 0.000E+00 0.00000000 0.0000000000 0.000 0.000000E+00                   + ) # #X #X          !  !                       "  #8@ @  "  #  #X #X  8@  8  8 <    (   <  x  8 x <  8   #8 < <  ( < < <  8  8@  8  x <  <  8 <  8   8@@  8@  8 @ ` #Plan177-CUniversoOktabela do tempo do Universo.xlsTABELAPLAN138PLAN13PLAN12PLAN11PLAN10PLAN9PLAN8PLAN7PLAN6PLAN5PLAN4PLAN3PLAN2PLAN1YYYYYYYYYY Y Y Y Y Y  ;* Diferenas): ; ;;&&;22;>>;JJ;VV;bb;nn;zz;TgZcAng AAng EAng Msoma1Ang Lsoma2Ang Bsoma3Velocidade de expanso da TerraIdade do UniversoVelocidade da Luz/Distncia da Terra, hoje, ao centro do Universo?Tempo gasto pelo fton e pelo raio de luz para alcanar a TerraConstante de Hubbleunidade de velocidadegraus csoma4fmHz Redshift f'lKm/s/Mpcc ABbaSoma 1Soma 2Soma 3Soma 4T Ang O !Planilha do Universo verdadeiro [ 1 ][ 2 ] [ 3 ][ 4 ][ 5 ] [ 6 ][ 7 ][ 8 ][ 9 ][ 10 ][ 11 ][ 12 ][ 13 ][ 14 ][ 15 ][ 16 ][ 17 ][ 18 ][ 19 ][ 20 ][ 21 ][ 22 ][ 23 ][ 24 ][ 25 ][ 26 ][ 27 ][ 28] [ 29 ][ 30 ][ 31 ][ 32 ][ 33 ][ 34 ][ 35 ][ 36 ][ 37 ][ 38 ][ 39 ][ 40 ][ 41 ]f'1Raio do Universo Visvelbilhes de anos luzVt  VpT2T1b1a1c2c1[ 42 ]c1a c1b HoV1V2Vac4Rv@Outra maneira de calcular c1, considerando o observador na Terra bilhes de anosFrequncia da luz na emissoXX2X1*Comprimento da onda da luz amarela ( Sol )"Velocidade de expanso da galxia @ngulo que a velocidade da Terra faz com a velocidade da galxia1Distncia da galxia, hoje, ao centro do Universo.Distncia entre a Terra e a galxia atualmente2Idade do Universo na ocasio da emisso dos ftons8ngulo que o raio de luz faz com a trajetria da galxiaIDistncia da galxia ao centro do Universo na poca da emisso dos ftons<Distncia percorrida pelo fton na sua trajetria verdadeira2Distncia percorrida pela Terra depois da idade T112Velocidade de um fton para um observador na Terra@Velocidade de afastamento entre a galxia e a Terra devido a Vp >? CVelocidade de afastamento da Terra em relao a galxia devido a VtB3Velocidade de afastamento entre a galxia e a Terra= Vt * T= Vp * T' = raiz ( A2 + B2 - 2 * A * B * cos O )   = X / c=T - T2"=( B2 + X2 - A2 ) / ( 2 * B * X )  "= ( A2 + X2 - B2 ) / ( 2 * A * X )  = ang O + ang M + ang B1 = T1 * Vp  = T2 * Vp&= raiz ( A2 + b2 - 2 * A * b * cos O )  % = ( A2 + X22 - b2 ) / ( 2 * A * X2 )  "#6ngulo que o raio de luz faz com a trajetria da Terra>Distncia percorrida pela galxia depois da emisso dos ftons/ngulo formado por X2 com a trajetria da Terra 2ngulo formado por X2 com a trajetria da galxia  $Velocidade do fton na trajetria X2#$ = ( b2 + X22 - A2 ) / ( 2 * b * X2 )   !"= ang O + ang L + ang A = Vt * T1 = T2 * Vt#= raiz( a2 +b2 -2 * a * b * cos O )    = X2 / T2 = X1 / T2 = 180 - ang B= ang L - ang M = Vp * cos M = Vt * cos B = V1 + V2 = ang A +ang B1 + ang E1+ = raiz ( c22 + Vp2 + 2 * c2 * Vp * cos L )   ! = Ang B - Ang A+ = raiz ( c22 + Vt2 - 2 * c2 * Vt * cos A )    != c - Va) = ( 300000 * 0,00326 * ( V1 + V2 ) ) / X ! = ang E + ang M + (180 - ang L),= raiz ( ( 1+ Va / c ) / ( 1- Va / c ) ) - 1 = f * (1 - Va / c )   = 3 * 108 * c1 /   ngulo da 1 Aberrao/ngulo de Aberrao do fton ao chegar na Terra;Outra maneira de calcular c1,considerando o tringulo P1L1L 78 9: %Frequncia da luz ao chegar na terra ang B1ang E1@Distncia da Terra ao centro do Universo na idade T1 do Universo34 /Distncia entre a galxia e a Terra na idade T1.Suplemento do ngulo BVelocidade do raio de luz Outra maneira de calcular f '= T * c D(#oL84| X1$)I  1 5 j!"$ Fɀ  t (Un{ƃ  dMbP?_*+%,&[Vj?'\.?(M&d2?)i4F?M6HP DeskJet 695CXC 4d,,A4DINU"4$H$$$$" @,,jZ?jZ?U} /} (} m} I} } m*} v} wItww@w;w;w;wXwwwwwXwX wX wX wX wX wXwXwwwXwXwww;wwwwwXwwwwwwwX T&UUUUV 5' 6 7~ 8? 9:2++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++v 5( 6 7$~ ;h@ <e:2****************************************************************************************************************v 5) 6f =Qa.C >:3""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""v 5* 6j ?@d%ؠ> <A4!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!v 5+ 6 7S~ ;? 9:2****************************************************************************************************************v 5, 6k 7TB3z'? 9C2----------------------------------------------------------------------------------------------------------------v 5- 6l 7%S-w>@ <A2................................................................................................................v 5. 6 7!Ď4@  DD >R Rx2$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$v 5/ 6m 7! 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