ࡱ>  @\p Administrador Ba==[;%8X@"1Arial1Arial1Arial1Arial1@Arial1Arial1Arial1Arial1 Arial1Arial1 Arial1 Arial1Symbol1Arial1Arial1Arial1Arial1Arial1Arial1Arial1 Arial1Arial "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_);_(* \(#,##0.00\);_(* "-"??_);_(@_)0.000000000E+000.000000000000 0.00000000 0.000000000 0.00000 0.0000000 0.00000E+00 0.0E+00 0.0000                , *  + ) @       8@ 8 8 <   ( x 8        #        @        " ! #    "       #   !  #@ @  #  " ! #X                   @@ @  @           ` (Plan177`i!Planilha do Universo verdadeiro [ 1 ]Velocidade da Luzc unidade de velocidade[ 2 ] Idade do UniversoT bilhes de anos[ 3 ]Frequncia da luz na emissofHz[ 4 ]*Comprimento da onda da luz amarela ( Sol )lm[ 5 ] Velocidade de expanso da TerraVt c[ 6 ]"Velocidade de expanso da galxia Vp c[ 7 ]@ngulo que a velocidade da Terra faz com a velocidade da galxiaAng O graus[ 8 ]/Distncia da Terra, hoje, ao centro do UniversoAbilhes de anos luz= Vt * T [ 9 ]1Distncia da galxia, hoje, ao centro do UniversoB=Vp * T [ 10 ].Distncia entre a Terra e a galxia atualmenteX' = raiz ( A2 + B2 - 2 * A * B * cos O )   [ 11 ]?Tempo gasto pelo fton e pelo raio de luz para alcanar a TerraT2 = X / c[ 12 ]2Idade do Universo na ocasio da emisso dos ftonsT1= T - T2[ 13 ]8ngulo que o raio de luz faz com a trajetria da galxiaAng M!=( B2 + X2 - A2 ) / ( 2 * B * X )   [ 14 ]6ngulo que o raio de luz faz com a trajetria da TerraAng B#= ( A2 + X2 - B2 ) / ( 2 * A * X )   [ 15 ]Soma 1soma1= ang O + ang M + ang B1[ 16 ]IDistncia da galxia ao centro do Universo na poca da emisso dos ftonsb = T1 * Vp [ 17 ]>Distncia percorrida pela galxia depois da emisso dos ftonsb1 = T2 * Vp [ 18 ]<Distncia percorrida pelo fton na sua trajetria verdadeiraX2&= raiz ( A2 + b2 - 2 * A * b * cos O )   [ 19 ]/ngulo formado por X2 com a trajetria da TerraAng A$ = ( A2 + X22 - b2 ) / ( 2 * A * X2 )    !" [ 20 ]2ngulo formado por X2 com a trajetria da galxia Ang L$ = ( b2 + X22 - A2 ) / ( 2 * b * X2 )    !" [ 21 ]Soma 2soma2= ang O+ ang L +ang A[ 22 ]@Distncia da Terra ao centro do Universo na idade T1 do Universo34a = Vt * T1 [ 23 ]2Distncia percorrida pela Terra depois da idade T11a1 = T2 * Vt [ 24 ]/Distncia entre a galxia e a Terra na idade T1.X1%= raiz ( a2 + b2 -2 * a * b * cos O )   [ 25 ]$Velocidade do Fton na trajetria X2#c2 = X2 / T2 [ 26 ]2Velocidade de um fton para um observador na Terrac1 = X1 / T2 [ 27 ]Suplemento do ngulo Bang B1 =180 - ang B[ 28] ngulo da 1 Aberraoang E1= ang L - ang M[ 29 ]@Velocidade de afastamento entre a galxia e a Terra devido a Vp >?V1 = Vp * cos M [ 30 ]CVelocidade de afastamento da Terra em relao a galxia devido a VtBV2 =Vt * cos B [ 31 ]3Velocidade de afastamento entre a galxia e a TerraVa=V1+V2 [ 32 ]Soma 3soma3 = ang A + ang B1 + ang E1 [ 33 ]Velocidade do raio de luz c4+ = raiz ( c22 + Vp2 + 2 * c2 * Vp * cos L )     ! [ 34 ]/ngulo de aberrao do fton ao chegar na TerraAng E = Ang B - Ang A[ 35 ];Outra maneira de calcular c1,considerando o tringulo P1L1L789:c1a* = raiz ( c22 + Vt2 -2 * c2 * Vt * cos A )      [ 36 ]@Outra maneira de calcular c1, considerando o observador na Terrac1b= c - Va[ 37 ]Constante de HubbleHoKm/s/Mpc) = ( 300000 * 0,00326 * ( V1 + V2 ) ) / X ! [ 38 ]Soma 4soma4" = ang E + ang M + ( 180 - ang L )[ 39 ] Redshift Z-= raiz ( ( 1+ Va / c ) / ( 1 - Va / c ) ) - 1 ! [ 40 ]%Frequncia da luz ao chegar na Terra f'= f * ( 1 - Va / c )  [ 41 ]Outra maneira de calcular f 'f'1 = 3 * 108 * c1 /   ` Zt - xMuSo M z d N E ~*b @ f Q1:`@EpKPV\agl(rw8}HЍXhx 0@P`p (#(8.3H9>XDI$K  dMbP?_*+%"~?~?cpU} B} (C} mD} IE} mF} (GfX;;XwwXX X X X X XXXX;X;;X NOOOOP   ~ H?    ~ Ih@     Jk[hB     !~ K@ "#   ~ I?    ~ L? $   ~ M(@ "#   !Qffffff+@  DD  %! " # $! Qffffff+@ DD  %% & ' (H Q@ 2DD DD DAVAA  %) * + ,! Q@  D D " %- . / 0! 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