ࡱ> gf \p Adalberto Ba= =R8V@"1Arial1Arial1Arial1Arial1Arial1 Arial1 Arial1Arial1Arial1Symbol1Arial1Arial1Arial1@Arial1Arial1h8Cambria1,8Calibri18Calibri18Calibri1Calibri1Calibri1<Calibri1>Calibri1?Calibri14Calibri14Calibri1 Calibri1 Calibri1Calibri1Calibri1 Calibri1Calibri "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$"* "-"??_);_(@_) 0.0000 0.000000000000.000000000000 0.00000E+000.0000000000000000.000000000000000E+00 0.000000.0000000000000000E+000.0000000000000E+000.000000000E+00 0.000000000 0.000000 0.0000000 0.0E+00 0.0000E+00 0.000E+00 0.00000000 0.0000000000 0.000 0.000000E+00                                                          ff  `                             + )     P  P     a> # #X #X             !  !  #X                         "  #    #8@ @     20% - nfase1 20% - nfase2 20% - nfase3 20% - nfase4 20% - nfase5 20% - nfase6 40% - nfase1 40% - nfase2 40% - nfase3 40% - nfase4 40% - nfase5 40% - nfase6 60% - nfase1 60% - nfase2 60% - nfase3 60% - nfase4 60% - nfase5! 60% - nfase6"Bom #Clculo$Clula de Verificao%Clula Vinculada &nfase1 'nfase2 (nfase3 )nfase4 *nfase5 +nfase6 ,Entrada- Incorreto./ 0Neutra 1Nota2 3Sada456Texto de Aviso7Texto Explicativo 8Ttulo 9Ttulo 1 :Ttulo 2 ;Ttulo 3 <Ttulo 4 =Total` APlan177,UniversoOktabela do tempo do Universo.xlsTABELAPLAN138PLAN13PLAN12PLAN11PLAN10PLAN9PLAN8PLAN7PLAN6PLAN5PLAN4PLAN3PLAN2PLAN1YYYYYYYYYY Y Y Y Y Y  ;3 Diferenas): ; ;;&&;22;>>;JJ;VV;bb;nn;zz;e ZVaV1T1T2c2cc1Ang AAng ED3Ang Msoma1D2Ang LD1c1aT3 T3 = D1/ci i = c1+Va1HoT2 =D3/c T1 =T - T2soma1 = angO + angM + angB1soma2soma2 =ang0+angL+ang A c2 = D2/T2 c1 = D1/T2Ang Bang B1soma3c4angB1=180-angBangE=angL-angMbilhoes de anos luzbilhoes de anosVelocidade 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 Terra"Distncia percorrida pelo 1. Fton/Angulo formado por D2 com a trajetria da Terra%Distncia de A1 ao centro do Universo$Velocidade do Fton na trajetria D2Suplemento do angulo BAngulo da 1a. Aberraoang E1Constante de Hubbleunidade de velocidadegraus6Angulo que o raio de luz faz com a trajetria da Terra cDistncia entre A1 e A"Z = raiz ( (1+Va/c)/(1-Va/c) ) - 1soma3 = angA +angB1 + angE1soma4"soma4 = angE + angM + (180 - angL)V2f(Comprimento da onda da luz (sol) amarelamHzValor maximo do ngulo O Redshift f'O'lf = frequencia da luz solarKm/s/Mpc%Frequencia da luz ao chegar na terra c f'=f*(1-Va/c)A A = Vt * TBB=Vp * TD3 = raiz(A^2+B^2-2*A*B*cosO)cosM =(B^2+D3^2-A^2)/(2*B*D3)!cos B = (A^2 +D3^2 -B^2)/(2*A*D3)b b=T1 * Vpb1 b1 = T2 x VpD2 = raiz(A^2 + b^2-2*A*b*cosO)cosA=(A^2+D2^2-b^2)/(2*A*D2) cos L =(b^2 +D2^2-A^2) /(2*b*D2)a a= Vt * T1a1 a1 = T2 x Vtd1 = raiz(a^2 +b^2 -2*a*b*cosO)V1 = Vp * cosM V2=Vt*cosBO' = arcsen(c/Vt)& = comprimento da onda da luz amarela  #Velocidade de expanso da galxia P3Distncia da galxia P, hoje, ao centro do Universo0Distncia entre a Terra e a galxia P atualmente<Angulo que a direo da Terra faz com a direo da galxia PSoma 13Angulo formado por D2 com a trajetria da galxia PSoma 2BVelocidade de afastamento entre a galxia P e a Terra devido a Vp EVelocidade de afastamento da Terra em relao a galxia P devido a Vt5Velocidade de afastamento entre a galxia P e a TerraVa=V1+V2Soma 3HVelocidade do fton fictcio para observador entre a galxia P e a Terra/Angulo de Aberrao do fton ao chegar na Terra!c4 = raiz(c2^2+Vp^2+2*c2*Vp*cosL)AngE = Ang B- Ang A&c1a = raiz (c2^2 + Vt^2 -2*c2*Vt*cosA);Outra maneira de calcular c1,considerando o tringulo P1L1L7 89 :@Outra maneira de calcular c1, considerando o observador na Terrac1b c1b= c - Va Ho = (300000*0,00326*(V1+V2))/D3Soma 4outra maneira de calcular f'f'1T Vt VpAng O Frequencia da luz na emisso f'1= 3e08*c1/ !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 ][ 42 ]0Tempo gasto para a galxia P alcanar o ponto P11Angulo que P1A1 faz com a trajetria da galxia P%Distncia de P1 ao centro do UniversoDistancia entre P e P1Distncia de P1 A1-Velocidade fictcia de um fton entre P1 e A16 \2iJ 0sIoEjy!O "a # k#A # # A$ $_ c%9 ||b}A} \(#,##0.ef?_);_(@_}A} \(#,##0.ef?_);_(@_}A} \(#,##0.ef?_);_(@_}A} \(#,##0.ef?_);_(@_}A} \(#,##0.ef?_);_(@_}A} \(#,##0.ef ?_);_(@_}A} \(#,##0.L?_);_(@_}A} \(#,##0.L?_);_(@_}A} \(#,##0.L?_);_(@_}A} \(#,##0.L?_);_(@_}A} \(#,##0.L?_);_(@_}A} \(#,##0.L ?_);_(@_}A} \(#,##0.23?_);_(@_}A} \(#,##0.23?_);_(@_}A} \(#,##0.23?_);_(@_}A} \(#,##0.23?_);_(@_}A}  \(#,##0.23?_);_(@_}A}! \(#,##0.23 ?_);_(@_}A}" a\(#,##0.?_);_(@_}}# }\(#,##0.?_);_(@_   }}$ \(#,##0.?_);_(@_??? ??? ??? ???}A}% }\(#,##0.?_);_(@_}A}& \(#,##0.?_);_(@_}A}' \(#,##0.?_);_(@_}A}( \(#,##0.?_);_(@_}A}) \(#,##0.?_);_(@_}A}* \(#,##0.?_);_(@_}A}+ \(#,##0. ?_);_(@_}}, ??v\(#,##0.̙?_);_(@_   }A}- \(#,##0.?_);_(@_}A}0 e\(#,##0.?_);_(@_}x}1\(#,##0.?_)  }}3 ???\(#,##0.?_)??? ???  ??? ???}-}6 \(#,##0.}-}7 \(#,##0.}-}8 \(#,##0.}A}9 \(#,##0.?_)}A}: \(#,##0.??_)}A}; \(#,##0.23?_)}-}< \(#,##0.}U}= \(#,##0.?_) M 20% - nfase1 ef %M" 20% - nfase2 ef %M& 20% - nfase3 ef %M* 20% - nfase4 ef %M. 20% - nfase5 ef %M2 20% - nfase6  ef %M 40% - nfase1 L %M# 40% - nfase2 L湸 %M' 40% - nfase3 L %M+ 40% - nfase4 L %M/ 40% - nfase5 L %M3 40% - nfase6  Lմ %M 60% - nfase1 23 %M$ 60% - nfase2 23ٗ %M( 60% - nfase3 23֚ %M, 60% - nfase4 23 %M0 60% - nfase5 23 %M4 60% - nfase6  23 %9Bom  a%yClculo  }% Clula de Verificao  %????????? ???UClula Vinculada }%Anfase1 O %A!nfase2 PM %A%nfase3 Y %A)nfase4 d %A-nfase5 K %A1nfase6  F %yEntrada ̙ ??v% E Incorreto  % Moeda( Moeda [0]?Neutra  e%"Normalb Nota  , PorcentagemuSada  ???%????????? ???@Separador de milharesHSeparador de milhares [0]C Texto de Aviso %I5Texto Explicativo %3Ttulo I}%ETtulo 1 I}%OETtulo 2 I}%?ETtulo 3 I}%237Ttulo 4 I}%MTotal %OOXTableStyleMedium9PivotStyleLight16ccB   w-FH~ X? 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