# LaTeX2HTML 97.1 (release) (July 13th, 1997) # Associate images original text with physical files. $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.74{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.74$ |; $key = q/{_inline}cosdeltaE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\cos \delta E$ |; $key = q/{_inline}0^rmshspace-0.3em.03{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.03$ |; $key = q/{_inline}0leqx<1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0 \leq x < 1$ |; $key = q/{_inline}zeta=80^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta=80^\circ$ |; $key = q/{_inline}-75^circ,59^',27^''.2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $-75^{\circ}\,59^{'}\,27^{''}.2$ |; $key = q/{_inline}150hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $150\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}2hspace-0.05em^'hspace-0.1em'hspace-0.4em.3{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $2\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$ |; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.6{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.6$ |; $key = q/{displaymath}zeta_vacapproxzeta_obs+Atanzeta_obs+Btan^3zeta_obs{displaymath}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\begin{displaymath} \zeta _{vac} \approx \zeta _{obs} + A \tan \zeta _{obs} + B \tan ^{3}\zeta _{obs} \end{displaymath}$ |; $key = q/{_inline}1000times20{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1000\times20$ |; $key = q/{_inline}times3602pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\times 360/2\pi$ |; $key = q/{_inline}21hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $21\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}12^h,07^m,58^s.09{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $12^{h}\,07^{m}\,58^{s}.09$ |; $key = q/{_inline}81^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $81^\circ$ |; $key = q/{_inline}omega{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\omega$ |; $key = q/{_inline}30^rmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $30^{\rm m}$ |; $key = q/{_inline}89^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $89^\circ$ |; $key = q/{displaymath}zeta_obsapproxzeta_vac-fracAtanzeta_vac+Btan^3zeta_vac1+(A+3Btan^2zeta_vac)sec^2zeta_vac{displaymath}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\begin{displaymath} \zeta _{obs} \approx \zeta _{vac} - \frac{A \tan \zeta _{va... ... {1 + ( A + 3 B \tan ^{2}\zeta _{vac} ) \sec ^{2}\zeta _{vac}}\end{displaymath}$ |; $key = q/{_inline}1^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1^\circ$ |; $key = q/{_inline}=Deltapsicosepsilon{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $=\Delta\psi\cos\epsilon$ |; $key = q/{_inline}(3times3){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $(3\times3)$ |; $key = q/{_inline}epsilon{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\epsilon$ |; $key = q/{_inline}290^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $290^\circ$ |; $key = q/{_inline}+1^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $+1^{\circ}$ |; $key = q/{_inline}20,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $20\,\mu{\rm m}$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.6{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.6$ |; $key = q/{_inline}7hspace-0.05em^'hspace-0.1em'hspace-0.4em.1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $7\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$ |; $key = q/{_inline}C_3!=!-10.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $C_3\!=\!-10.0$ |; $key = q/{_inline}~sinalpha+({_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $~\sin \alpha + ($ |; $key = q/{_inline}xi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\xi$ |; $key = q/{_inline}1100hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1100\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}[lambda,phi]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\lambda,\phi]$ |; $key = q/{_inline}30hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $30\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}1.0027379cdots{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1.0027379\cdots$ |; $key = q/{_inline}90^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $90^{\circ}$ |; $key = q/{_inline}14hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $14\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}rho=r(1+cr^2){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\rho = r (1 + c r^{2})$ |; $key = q/{_inline}pmn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\pm n$ |; $key = q/{_inline}bfD{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\bf D}$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.24{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.24$ |; $key = q/{_inline}0^rmshspace-0.3em.015869{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.015869$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.43549{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.43549$ |; $key = q/{_inline}[,Deltax,Deltay,Deltaz,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,\Delta x,\Delta y, \Delta z\,]$ |; $key = q/{_inline}86hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $86\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}(0leqe<1){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $( 0 \leq e < 1 )$ |; $key = q/{_inline}0^rmh{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm h}$ |; $key = q/{_inline}~cosalpha-{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $~\cos \alpha -$ |; $key = q/{_inline}[theta,phi,dottheta,dotphi]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\theta,\phi,\dot{\theta},\dot{\phi}]$ |; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.0$ |; $key = q/{_inline}nu=rho_wrho_s{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\nu=\rho_w/\rho_s$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.3{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$ |; $key = q/{_inline}varpi=Omega+omega{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\varpi = \Omega + \omega$ |; $key = q/{_inline}6hspace-0.05em^'hspace-0.1em'hspace-0.4em.1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $6\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$ |; $key = q/{_inline}mu_delta,=+{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\mu_\delta\,=+$ |; $key = q/{_inline}920hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $920\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}b^I!I=0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $b^{I\!I}=0$ |; $key = q/{_inline}x'=x_1+rmXZ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $x' = x_{1} + {\rm XZ}$ |; $key = q/{_inline}mu_alpha={_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\mu_\alpha=$ |; $key = q/{_inline}rmbfr_0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\rm \bf r}_0$ |; $key = q/{_inline}zeta_vac{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta _{vac}$ |; $key = q/{_inline}86^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $86^\circ$ |; $key = q/{_inline}y'''=+x''sinrmPERP2+y''cosrmPERP2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $y''' = + x'' \sin {\rm PERP}/2 + y'' \cos {\rm PERP}/2$ |; $key = q/{_inline}C_2!=!-2.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $C_2\!=\!-2.0$ |; $key = q/{_inline}0.0065^circm^-1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0.0065^\circ m^{-1}$ |; $key = q/{_inline}alpha=18^rmh,delta=+30^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\alpha=18^{\rm h},\delta=+30^{\circ}$ |; $key = q/{_inline}[mu_alpha,mu_delta]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\mu_\alpha,\mu_\delta]$ |; $key = q/{_inline}5^rmh,25^rmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $5^{\rm h}\,25^{\rm m}$ |; $key = q/{figure}centertabular|cccccc|hline&&&&&hspace5em&hspace5em&hspace5em&hspace5em&halloftheprecessionandE-termscorrectionsaresuperfluous.{figure}MSF=1.5;FSF=1;AAT;/; $cached_env_img{$key} = q| $\begin{figure} \begin{center} \begin{tabular} {\vert cccccc\vert} \hline & & & &... ...2000, all of the precession and E-terms corrections are superfluous.\end{figure}$ |; $key = q/{_inline}~sinalpha-{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $~\sin \alpha -$ |; $key = q/{_inline}equiv123{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\equiv123$ |; $key = q/{_inline}3hspace-0.05em^'hspace-0.1em'hspace-0.4em.7{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $3\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.7$ |; $key = q/{_inline}12^circ,34^',56^''.7{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $12^{\circ}\,34^{'}\,56^{''}.7$ |; $key = q/{_inline}y'=y_1+rmYZ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $y' = y_{1} + {\rm YZ}$ |; $key = q/{_inline}+0hspace-0.05em^'hspace-0.1em'hspace-0.4em.103{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $+0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.103$ |; $key = q/{_inline}=93^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $=93^\circ$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.0001{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.0001$ |; $key = q/{_inline}[x_e,y_e,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[x_{e},y_{e}\,]$ |; $key = q/{_inline}[,0,,1,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,0,\,1\,]$ |; $key = q/{_inline}20hspace-0.05em^'hspace-0.1em'hspace-0.4em.5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $20\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$ |; $key = q/{_inline}theta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\theta$ |; $key = q/{_inline}zeta<80^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta<80^{\circ}$ |; $key = q/{_inline}0^rmshspace-0.3em.000340{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.000340$ |; $key = q/{_inline}deltaEcosE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\delta E \cos E$ |; $key = q/{_inline}[x_m,y_m,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[x_{m},y_{m}\,]$ |; $key = q/{_inline}-0hspace-0.05em^'hspace-0.1em'hspace-0.4em.06{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $-0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.06$ |; $key = q/{_inline}340hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $340\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}l^I!I,b^I!I{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $l^{I\!I},b^{I\!I}$ |; $key = q/{_inline}20^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $20^\circ$ |; $key = q/{_inline}_j)]cdot({_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $_{j})] \cdot ($ |; $key = q/{_inline}times{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\times$ |; $key = q/{_inline}20hspace-0.05em^'hspace-0.1em'hspace-0.4em.49552{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $20\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.49552$ |; $key = q/{_inline}tan^3zeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\tan^{3} \zeta$ |; $key = q/{_inline}E=90^circ-zeta_true{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $E=90^\circ-\zeta_{true}$ |; $key = q/{_inline}83^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $83^\circ$ |; $key = q/{_inline}0^rmshspace-0.3em.9{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.9$ |; $key = q/{_inline}(0leqeleq10){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $( 0 \leq e \leq 10 )$ |; $key = q/{_inline}17hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $17\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}0.4,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0.4\,\mu{\rm m}$ |; $key = q/{_inline}3^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $3^{\circ}$ |; $key = q/{_inline}20^rms{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $20^{\rm s}$ |; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}zeta=70^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta=70^\circ$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.001{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.001$ |; $key = q/{_inline}DeltarmT{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\Delta {\rm T}$ |; $key = q/{_inline}pm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\pm$ |; $key = q/{_inline}C_1!=!+50.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $C_1\!=\!+50.0$ |; $key = q/{_inline}l^I!I=90^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $l^{I\!I}=90^{\circ}$ |; $key = q/{_inline}50^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $50^\circ$ |; $key = q/{_inline}[,theta,phi~]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,\theta,\phi~]$ |; $key = q/{_inline}x!pm!n{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $x\!\pm\!n$ |; $key = q/{_inline}mu_delta={_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\mu_\delta=$ |; $key = q/{_inline}3times3{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $3\times3$ |; $key = q/{_inline}50hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $50\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}1.0,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1.0\,\mu{\rm m}$ |; $key = q/{_inline}92^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $92^\circ$ |; $key = q/{_inline}18hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $18\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}0.7,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0.7\,\mu{\rm m}$ |; $key = q/{_inline}timesn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\times n$ |; $key = q/{_inline}rmMJD=(rmJD-2400000.5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\rm MJD} = ({\rm JD} - 2400000.5$ |; $key = q/{_inline}0^circhspace-0.37em.hspace0.02em5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\circ} \hspace{-0.37em}.\hspace{0.02em}5$ |; $key = q/{_inline}tan^-14{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\tan^{-1} 4$ |; $key = q/{_inline}0^rmshspace-0.3em.01{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.01$ |; $key = q/{_inline}100hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $100\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}2hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $2\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}[,xi,eta,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,\xi,\eta\,]$ |; $key = q/{_inline}00^h,00^m,00^s.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $00^{h}\,00^{m}\,00^{s}.0$ |; $key = q/{_inline}0!-!pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\!-\!\pi$ |; $key = q/{_inline}280^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $280^\circ$ |; $key = q/{_inline}beta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\beta$ |; $key = q/{_inline}0^rmshspace-0.3em.000083{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.000083$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00510{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00510$ |; $key = q/{_inline}zeta=87^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta = 87^{\circ}$ |; $key = q/{_inline}90^circ-delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $90^\circ-\delta$ |; $key = q/{_inline}2murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $2\mu{\rm m}$ |; $key = q/{_inline}{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $<{\bf V1}+{\bf D}\gt$ |; $key = q/{_inline}5hspace-0.05em^'hspace-0.1em'hspace-0.4em.8{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $5\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.8$ |; $key = q/{_inline}25^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $25^\circ$ |; $key = q/{_inline}80^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $80^\circ$ |; $key = q/{_inline}pmpi2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\pm\pi/2$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.01{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.01$ |; $key = q/{_inline}rho{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\rho$ |; $key = q/{_inline}152pi=2.3873241463784300365{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $15/{2\pi} = 2.3873241463784300365$ |; $key = q/{_inline}2pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $2\pi$ |; $key = q/{_inline}43hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $43\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}sim20{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\sim20$ |; $key = q/{_inline}[,alpha,delta,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,\alpha,\delta\,]$ |; $key = q/{_inline}dotalpha{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\dot{\alpha}$ |; $key = q/{_inline}0^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\circ}$ |; $key = q/{_inline}88^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $88^\circ$ |; $key = q/{_inline}bfV1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\bf V1}$ |; $key = q/{_inline}tan^-11{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\tan^{-1} 1$ |; $key = q/{_inline}0^circhspace-0.37em.hspace0.02em2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\circ} \hspace{-0.37em}.\hspace{0.02em}2$ |; $key = q/{_inline}-19^circ,44^',37^''.1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $-19^{\circ}\,44^{'}\,37^{''}.1$ |; $key = q/{_inline}cdot~[diag(1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\cdot~[diag(1/$ |; $key = q/{_inline}alpha=0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\alpha=0$ |; $key = q/{_inline}~cosalpha)sindelta-{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $~\cos \alpha ) \sin \delta -$ |; $key = q/{_inline}zeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta$ |; $key = q/{_inline}3hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $3\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}tanzeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\tan \zeta$ |; $key = q/{_inline}0^rmshspace-0.3em.000105{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.000105$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.4{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.4$ |; $key = q/{_inline}~sinalpha)secdelta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $~\sin \alpha ) \sec \delta$ |; $key = q/{_inline}-1^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $-1^{\circ}$ |; $key = q/{_inline}times10^-5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\times10^{-5}$ |; $key = q/{_inline}C_4!=!+25.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $C_4\!=\!+25.0$ |; $key = q/{_inline}60hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $60\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}76^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $76^\circ$ |; $key = q/{_inline}x'''=+x''cosrmPERP2+y''sinrmPERP2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $x''' = + x'' \cos {\rm PERP}/2 + y'' \sin {\rm PERP}/2$ |; $key = q/{_inline}deltaE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\delta E$ |; $key = q/{_inline}times2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\times 2 /$ |; $key = q/{_inline}zeta_obs{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta_{obs}$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$ |; $key = q/{_inline}4hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $4\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}0^rmshspace-0.3em.0016{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.0016$ |; $key = q/{_inline}zeta=84^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta=84^\circ$ |; $key = q/{_inline}100mum{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $100\mu m$ |; $key = q/{_inline}sigma=5.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\sigma=5.0$ |; $key = q/{_inline}circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\circ}$ |; $key = q/{_inline}[x_1,y_1,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[x_{1},y_{1}\,]$ |; $key = q/{_inline}L=varpi+M{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $L = \varpi + M$ |; $key = q/{_inline}16^h,09^m,55^s.13{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $16^{h}\,09^{m}\,55^{s}.13$ |; $key = q/{_inline}times(2pi86400)^2times(3602pi){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\times (2\pi/86400)^2 \times (360/2\pi)$ |; $key = q/{_inline}xi,eta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\xi,\eta$ |; $key = q/{_inline}Deltazeta=atanzeta+btan^3zeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\Delta \zeta = a \tan \zeta + b \tan^{3} \zeta$ |; $key = q/{_inline}23^circhspace-0.37em.hspace0.02em5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $23^{\circ} \hspace{-0.37em}.\hspace{0.02em}5$ |; $key = q/{_inline}rightarrow{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\rightarrow$ |; $key = q/{_inline}pmn.nxpmn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\pm n.n x \pm n$ |; $key = q/{_inline}cdot{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\cdot$ |; $key = q/{_inline}85^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $85^\circ$ |; $key = q/{_inline}45hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $45\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}pm3{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\pm3$ |; $key = q/{_inline}0^rmshspace-0.3em.0013{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.0013$ |; $key = q/{_inline}zeta<70^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta<70^{\circ}$ |; $key = q/{_inline}tan^5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\tan^5$ |; $key = q/{_inline}5hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $5\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}~sinalpha+{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $~\sin \alpha +$ |; $key = q/{_inline}620hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $620\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}ntimesn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $n \times n$ |; $key = q/{_inline}Deltazeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\Delta \zeta$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00125{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00125$ |; $key = q/{_inline}10^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $10^{\circ}$ |; $key = q/{_inline}varpi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\varpi$ |; $key = q/{_inline}lambda,beta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\lambda,\beta$ |; $key = q/{_inline}0.3,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0.3\,\mu{\rm m}$ |; $key = q/{_inline}pm100{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\pm100$ |; $key = q/{_inline}1900hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1900\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}times10^-10{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\times10^{-10}$ |; $key = q/{_inline}M_odot=1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $M_\odot = 1$ |; $key = q/{_inline}Deltaalpha{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\Delta\alpha$ |; $key = q/{displaymath}Deltazeta=Fleft(frac0^circhspace-0.37em.hspace0.02em55445-0^circhsp-0.37em.hspace0.02em00202E^21+0.28385E+0.02390E^2right){displaymath}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\begin{displaymath} \Delta \zeta = F \left( \frac{0^\circ\hspace{-0.37em}.\hspa... ...hspace{0.02em}00202 E^2} {1 + 0.28385 E +0.02390 E^2} \right) \end{displaymath}$ |; $key = q/{_inline}times(2pi86400)times(3602pi){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\times (2\pi/86400) \times (360/2\pi)$ |; $key = q/{_inline}zeta<45^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta<45^{\circ}$ |; $key = q/{_inline}[,Az,El~]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,Az,El~]$ |; $key = q/{_inline}6hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $6\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}^Tcdot{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $^{T}\cdot$ |; $key = q/{_inline}3hspace-0.05em^'hspace-0.1em'hspace-0.4em.2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $3\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.2$ |; $key = q/{_inline}[x_p,y_p,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[x_{p},y_{p}\,]$ |; $key = q/{_inline}[x_2,y_2,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[x_{2},y_{2}\,]$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00158{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00158$ |; $key = q/{_inline}x_2=+x'''cosrmORIENT+y'''sinrmORIENT{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $x_{2} = + x''' \cos {\rm ORIENT} + y''' \sin {\rm ORIENT}$ |; $key = q/{_inline}61^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $61^\circ$ |; $key = q/{_inline}y_2=-x'''sinrmORIENT+y'''cosrmORIENT{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $y_{2} = - x''' \sin {\rm ORIENT} + y''' \cos {\rm ORIENT}$ |; $key = q/{_inline}82^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $82^\circ$ |; $key = q/{_inline}0!-!2pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\!-\!2\pi$ |; $key = q/{_inline}71hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $71\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.05{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.05$ |; $key = q/{_inline}sqrt1-left|mboxbfvright|^2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\sqrt{1-\left\vert\mbox{\bf v}\right\vert^2}$ |; $key = q/{_inline}murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\mu{\rm m}$ |; $key = q/{_inline}alpha,deltarightarrowlambda,beta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\alpha,\delta\rightarrow\lambda,\beta$ |; $key = q/{displaymath}h=theta-alpha{displaymath}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\begin{displaymath} h = \theta - \alpha \end{displaymath}$ |; $key = q/{_inline}2^circhspace-0.37em.hspace0.02em4{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $2^{\circ} \hspace{-0.37em}.\hspace{0.02em}4$ |; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.85{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.85$ |; $key = q/{_inline}+pi2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $+\pi/2$ |; $key = q/{_inline}sim!76^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\sim\!76^\circ$ |; $key = q/{_inline}[,x,y,z,dotx,doty,dotz,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,x,y,z,\dot{x},\dot{y},\dot{z}\,]$ |; $key = q/{_inline}6.5^circKkm^-1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $6.5^\circ K km^{-1}$ |; $key = q/{_inline}270^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $270^\circ$ |; $key = q/{_inline}7hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $7\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}tandeltaEapproxdeltaE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\tan \delta E\approx\delta E}$ |; $key = q/{_inline}cdots{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\cdots$ |; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.8{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.8$ |; $key = q/{_inline}(1-deltaE^22){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $(1-\delta E^2 /2)$ |; $key = q/{_inline}mu{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\mu$ |; $key = q/{_inline}15^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $15^\circ$ |; $key = q/{_inline}[Deltax,Deltay,Deltaz,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\Delta x, \Delta y, \Delta z\,]$ |; $key = q/{_inline}70^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $70^\circ$ |; $key = q/{_inline}DeltarmT=rmET-rmUT{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\Delta {\rm T} = {\rm ET} - {\rm UT}$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.02{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.02$ |; $key = q/{_inline}91^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $91^\circ$ |; $key = q/{_inline}Delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\Delta$ |; $key = q/{_inline}l^I!I=53^circ,b^I!I=+25^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $l^{I\!I}=53^{\circ},b^{I\!I}=+25^{\circ}$ |; $key = q/{_inline}y''=y'rmYS{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $y'' = y' {\rm YS}$ |; $key = q/{_inline}bfV2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\bf V2}$ |; $key = q/{_inline}[,0,2pi,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,0,2\pi\,]$ |; $key = q/{_inline}mgeqn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $m \geq n$ |; $key = q/{_inline}360^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $360^{\circ}$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$ |; $key = q/{_inline}alpha,delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\alpha,\delta$ |; $key = q/{_inline}8hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $8\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}deltaEsinE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\delta E \sin E$ |; $key = q/{_inline}alpha={_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\alpha=$ |; $key = q/{_inline}4hspace-0.05em^'hspace-0.1em'hspace-0.4em.9{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $4\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.9$ |; $key = q/{_inline}45^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $45^\circ$ |; $key = q/{_inline}3200hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $3200\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}equiv{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\equiv$ |; $key = q/{_inline}delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\delta$ |; $key = q/{_inline}-26hspace-0.05em^'hspace-0.1em'hspace-0.4em.00{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $-26\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00$ |; $key = q/{_inline}psi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\psi$ |; $key = q/{_inline}-10^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $-10^\circ$ |; $key = q/{_inline}81hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $81\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}l^I!I=137.37{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $l^{I\!I}=137.37$ |; $key = q/{_inline}87^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $87^\circ$ |; $key = q/{_inline}(mu-1){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $(\mu-1)$ |; $key = q/{_inline}23^h,59^m,60^s.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $23^{h}\,59^{m}\,60^{s}.0$ |; $key = q/{_inline}[,x,y,z,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,x,y,z\,]$ |; $key = q/{_inline}(1-bfDcdotbfV1){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $(1-{\bf D}\cdot{\bf V1})$ |; $key = q/{_inline}24^h,59^m,59^s.999{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $24^{h}\,59^{m}\,59^{s}.999$ |; $key = q/{_inline}7^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $7^\circ$ |; $key = q/{_inline}220hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $220\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.2$ |; $key = q/{_inline}dotalphacosdelta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\dot{\alpha}\cos\delta$ |; $key = q/{_inline}9hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $9\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}h,delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $h,\delta$ |; $key = q/{_inline}beta~(=H_0r_0){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\beta~(=H_0/r_0)$ |; $key = q/{_inline}0^rmshspace-0.3em.029032{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0^{\rm s}\hspace{-0.3em}.029032$ |; $key = q/{_inline}32^rmshspace-0.3em.184{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $32^{\rm s}\hspace{-0.3em}.184$ |; $key = q/{_inline}10hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $10\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}alpha{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\alpha$ |; $key = q/{_inline}nu=p_wp_s{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\nu=p_w/p_s$ |; $key = q/{_inline}0-2pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0-2\pi$ |; $key = q/{_inline}[,dotx,doty,dotz,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,\dot{x},\dot{y},\dot{z}\,]$ |; $key = q/{_inline}75^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $75^\circ$ |; $key = q/{_inline}100,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $100\,\mu{\rm m}$ |; $key = q/{_inline}x''=x'rmXS{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $x'' = x' {\rm XS}$ |; $key = q/{_inline}[,x,y,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,x,y\,]$ |; $key = q/{_inline}Deltapsi,cos,epsilon{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\Delta\psi\,cos\,\epsilon$ |; $key = q/{_inline}bfrmM{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\bf \rm M}$ |; $key = q/{_inline}zeta<60^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta<60^{\circ}$ |; $key = q/{_inline}Deltapsicosepsilon{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\Delta\psi\cos\epsilon$ |; $key = q/{_inline}zeta=83^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\zeta=83^\circ$ |; $key = q/{_inline}mtimesn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $m \times n$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.062{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.062$ |; $key = q/{_inline}12pi=0.1591549430918953358{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1/{2 \pi} = 0.1591549430918953358$ |; $key = q/{_inline}42^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $42^{\circ}$ |; $key = q/{_inline}1000hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $1000\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}11hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $11\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; $key = q/{_inline}29^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $29^\circ$ |; $key = q/{_inline}84^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $84^\circ$ |; $key = q/{_inline}[,l^I!I,b^I!I,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,l^{I\!I},b^{I\!I}\,]$ |; $key = q/{_inline}rmbfv_0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\rm \bf v}_0$ |; $key = q/{_inline}mu_alpha=-{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\mu_\alpha=-$ |; $key = q/{_inline}w_iigeq0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $w_{ii} \geq 0$ |; $key = q/{_inline}sim76^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\sim 76^\circ$ |; $key = q/{_inline}bfM{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\bf M}$ |; $key = q/{_inline}pmpi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\pm \pi$ |; $key = q/{_inline}23^rmh,59^rmm,59^rms{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $23^{\rm h}\,59^{\rm m}\,59^{\rm s}$ |; $key = q/{_inline}30^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $30^\circ$ |; $key = q/{_inline}rmbfr_0.rmbfv_0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| ${\rm \bf r}_0.{\rm \bf v}_0$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00066{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00066$ |; $key = q/{_inline}-0^rmshspace-0.3em.0312{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $-0^{\rm s}\hspace{-0.3em}.0312$ |; $key = q/{_inline}delta={_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\delta=$ |; $key = q/{_inline}Omega{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $\Omega$ |; $key = q/{_inline}93^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $93^\circ$ |; $key = q/{_inline}+20^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $+20^\circ$ |; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.50{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.50$ |; $key = q/{_inline}~cosdelta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $~\cos \delta$ |; $key = q/{_inline}[,h,delta,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $[\,h,\delta\,]$ |; $key = q/{_inline}92hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q| $92\hspace{-0.05em}^{'\hspace{-0.1em}'}$ |; 1;