# LaTeX2HTML 2023 (Released January 1, 2023)
# Associate images original text with physical files.


$key = q//;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.85ex; vertical-align: -1.35ex; " SRC="|."$dir".q|img13.svg"
 ALT="$F_{I} = \frac{M \times H-S}{M \times H+S} \times Frest + \frac{ (M\times
H-S+ ...
...- M \times H+S)
\times M \times L \times Eps }
{(M \times H+S)\times Doppler} $">|; 

$key = q/(1-vslashc);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img8.svg"
 ALT="$(1-v/c)$">|; 

$key = q/D1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img16.svg"
 ALT="$D1$">|; 

$key = q/D2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img17.svg"
 ALT="$D2$">|; 

$key = q/F_{I}=frac{MtimesH-S}{MtimesH+S}timesFrest+frac{2timesMtimesHtimesStimes350-2timesStimesMtimesLtimesEps}{(MtimesH+S)timesDoppler};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.64ex; vertical-align: -1.35ex; " SRC="|."$dir".q|img14.svg"
 ALT="$F_{I} = \frac{M \times H-S}{M \times H+S} \times Frest + \frac{ 2 \times
M \ti...
...0 - 2 \times S \times M \times L \times Eps
}
{(M \times H+S) \times Doppler} $">|; 

$key = q/F_{I}=frac{frac{MtimesH-S}{MtimesH+S}times(FresttimesDoppler+Stimes350+MtimesLtimesEps)-MtimesLtimesEps+Stimes350}{Doppler};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 4.48ex; vertical-align: -1.24ex; " SRC="|."$dir".q|img11.svg"
 ALT="$F_{I} = \frac{ \frac{M \times H-S}{M \times H+S} \times ( Frest \times
Doppler...
...0 + M \times L \times Eps ) - M \times L \times Eps
+ S \times 350}
{Doppler} $">|; 

$key = q/H;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img20.svg"
 ALT="$H$">|; 

$key = q/H>>1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.88ex; vertical-align: -0.20ex; " SRC="|."$dir".q|img23.svg"
 ALT="$H &#187; 1$">|; 

$key = q/M>1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.88ex; vertical-align: -0.20ex; " SRC="|."$dir".q|img24.svg"
 ALT="$M &gt; 1$">|; 

$key = q/MHz,deltaV_I=0.007;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img33.svg"
 ALT="$MHz, \delta V_I =
0.007$">|; 

$key = q/MHz,deltaV_I=0.11;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img35.svg"
 ALT="$MHz, \delta V_I = 0.11$">|; 

$key = q/MHz,deltaV_I=0.45;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img37.svg"
 ALT="$MHz, \delta V_I = 0.45$">|; 

$key = q/MHz;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img2.svg"
 ALT="$MHz$">|; 

$key = q/V1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img18.svg"
 ALT="$V1$">|; 

$key = q/V2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img19.svg"
 ALT="$V2$">|; 

$key = q/V2<<c;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.88ex; vertical-align: -0.20ex; " SRC="|."$dir".q|img22.svg"
 ALT="$V2 &#171; c$">|; 

$key = q/^{-1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img26.svg"
 ALT="$^{-1}$">|; 

$key = q/^{1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img1.svg"
 ALT="$^{1}$">|; 

$key = q/backslash;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img39.svg"
 ALT="$\backslash$">|; 

$key = q/deltaF=0.14;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img38.svg"
 ALT="$\delta F = 0.14$">|; 

$key = q/deltaF_I=0.002;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.18ex; vertical-align: -0.47ex; " SRC="|."$dir".q|img32.svg"
 ALT="$\delta F_I = 0.002$">|; 

$key = q/deltaF_I=0.035;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.18ex; vertical-align: -0.47ex; " SRC="|."$dir".q|img34.svg"
 ALT="$\delta F_I = 0.035$">|; 

$key = q/deltaF_I=0.14;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.18ex; vertical-align: -0.47ex; " SRC="|."$dir".q|img36.svg"
 ALT="$\delta F_I = 0.14$">|; 

$key = q/deltaV=0.90;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img28.svg"
 ALT="$\delta V = 0.90$">|; 

$key = q/deltaV=15;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img30.svg"
 ALT="$\delta V = 15$">|; 

$key = q/deltaV=60;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img31.svg"
 ALT="$\delta V = 60$">|; 

$key = q/displaystyleF_{I}=frac{(MtimesH-S)timesFlo2-MtimesLtimesEps+Stimes350}{Doppler};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.55ex; vertical-align: -2.15ex; " SRC="|."$dir".q|img10.svg"
 ALT="$\displaystyle F_{I} = \frac{ (M \times H-S) \times Flo2
- M \times L \times Eps + S \times 350}
{Doppler}
$">|; 

$key = q/displaystyleF_{I}=frac{MtimesH-S}{MtimesH+S}timesFrest+frac{2timesStimesMtimes(Htimes350-LtimesEps)}{(MtimesH+S)timesDoppler};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.68ex; vertical-align: -2.28ex; " SRC="|."$dir".q|img15.svg"
 ALT="$\displaystyle F_{I} = \frac{M \times H-S}{M \times H+S} \times Frest
+ \frac{ ...
...imes M \times ( H \times 350 - L \times Eps)}
{(M \times H+S) \times Doppler}
$">|; 

$key = q/displaystyleFlo1=Mtimes(HtimesFlo2-LtimesEps);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img4.svg"
 ALT="$\displaystyle Flo1 = M \times (H \times Flo2 - L \times Eps)
$">|; 

$key = q/displaystyleFlo2=Fsyn-0.5;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img3.svg"
 ALT="$\displaystyle Flo2 = Fsyn - 0.5
$">|; 

$key = q/displaystyleFlo2=frac{FresttimesDoppler+Stimes350+MtimesLtimesEps}{MtimesH+S};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.16ex; vertical-align: -1.89ex; " SRC="|."$dir".q|img9.svg"
 ALT="$\displaystyle Flo2 = \frac{ Frest \times Doppler + S \times 350 + M \times L \times Eps }
{ M \times H + S }
$">|; 

$key = q/displaystyleFrest=frac{((MtimesH+S)timesFlo2-MtimesLtimesEps)-StimesFcent}{Doppler};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.55ex; vertical-align: -2.15ex; " SRC="|."$dir".q|img7.svg"
 ALT="$\displaystyle Frest = \frac{ ( (M \times H+S) \times Flo2 - M \times L \times Eps )
- S \times Fcent}{Doppler}
$">|; 

$key = q/displaystyleFrest=frac{Fsky-Stimes(Fcent-350)}{Doppler};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.55ex; vertical-align: -2.15ex; " SRC="|."$dir".q|img6.svg"
 ALT="$\displaystyle Frest = \frac{Fsky - S \times (Fcent-350)}{Doppler}
$">|; 

$key = q/displaystyleFsky=Flo1+Stimes(Flo2-350);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img5.svg"
 ALT="$\displaystyle Fsky = Flo1 + S \times (Flo2-350)
$">|; 

$key = q/displaystyledeltaF_{I}=frac{D2-D1}{D2timesD1}timesfrac{2timesStimesMtimes(Htimes350-LtimesEps)}{MtimesH+S};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.29ex; vertical-align: -1.89ex; " SRC="|."$dir".q|img21.svg"
 ALT="$\displaystyle \delta F_{I} = \frac{D2-D1}{ D2 \times D1} \times
\frac{ 2 \times S \times M \times ( H \times 350 - L \times Eps) }
{M \times H+S}
$">|; 

$key = q/displaystyledeltaF_{I}=frac{deltaV}{c}times700;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 4.97ex; vertical-align: -1.70ex; " SRC="|."$dir".q|img25.svg"
 ALT="$\displaystyle \delta F_{I} = \frac{\delta V}{c} \times 700
$">|; 

$key = q/displaystyledeltaV_{I}=deltaVfrac{700}{F_I};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.21ex; vertical-align: -2.06ex; " SRC="|."$dir".q|img27.svg"
 ALT="$\displaystyle \delta V_{I} = \delta V \frac{700}{F_I}
$">|; 

$key = q/km.s^{-1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img29.svg"
 ALT="$km.s^{-1}$">|; 

1;

