/********************************* Author: Creighton, T. D. $Id: LALConstants.h,v 1.1 2004/03/31 08:53:44 patrick Exp $ ********************************** */ /* \section{Header \texttt{LALConstants.h}} \label{s:LALConstants.h} Provides standard numerical constants for LAL. \subsection*{Synopsis} \begin{verbatim} #include \end{verbatim} \noindent This header defines a number of useful numerical constants for use in LAL routines. These constants come in three basic flavours: arithmetic and mathematical constants, fundamental (or defined) physical constants, and measured astrophysical and cosmological parameters. Note that, unlike the other headers in the \verb@std@ package, this header is \emph{not} included automatically by the header \verb@LALStdlib.h@. Include it explicitly if you need any of these constants. */ #ifndef _LALCONSTANTS_H #define _LALCONSTANTS_H #include #ifdef __cplusplus extern "C" { #endif NRCSID (LALCONSTANTSH, "$Id: LALConstants.h,v 1.1 2004/03/31 08:53:44 patrick Exp $"); /* \subsection*{Mathematical constants} \idx[Constant]{LAL\_REAL4\_MANT} \idx[Constant]{LAL\_REAL4\_MAX} \idx[Constant]{LAL\_REAL4\_MIN} \idx[Constant]{LAL\_REAL4\_EPS} \idx[Constant]{LAL\_REAL8\_MANT} \idx[Constant]{LAL\_REAL8\_MAX} \idx[Constant]{LAL\_REAL8\_MIN} \idx[Constant]{LAL\_REAL8\_EPS} \idx[Constant]{LAL\_E} \idx[Constant]{LAL\_LOG2E} \idx[Constant]{LAL\_LOG10E} \idx[Constant]{LAL\_LN2} \idx[Constant]{LAL\_LN10} \idx[Constant]{LAL\_SQRT2} \idx[Constant]{LAL\_SQRT1\_2} \idx[Constant]{LAL\_GAMMA} \idx[Constant]{LAL\_PI} \idx[Constant]{LAL\_TWOPI} \idx[Constant]{LAL\_PI\_2} \idx[Constant]{LAL\_PI\_4} \idx[Constant]{LAL\_1\_PI} \idx[Constant]{LAL\_2\_PI} \idx[Constant]{LAL\_2\_SQRTPI} \idx[Constant]{LAL\_PI\_180} \idx[Constant]{LAL\_180\_PI} The following constants define the precision and range of floating-point arithmetic in LAL. They are taken from the IEEE standard~754 for binary arithmetic. All numbers are dimensionless. \begin{center} \begin{tabular}{|lll|} \hline Name & Value & Description \\ \hline \tt LAL\_REAL4\_MANT & 24 & Bits in {\tt REAL4} mantissa \\ \tt LAL\_REAL4\_MAX & $3.40282347\times10^{38}$ & Largest {\tt REAL4} \\ \tt LAL\_REAL4\_MIN & $1.17549435\times10^{-38}$ & Smallest positive {\tt REAL4} \\ \tt LAL\_REAL4\_EPS & $1.19209290\times10^{-7}$ & $2^{-(\mathtt{LAL\_REAL4\_MANT}-1)}$ \\ \hline \tt LAL\_REAL8\_MANT & 53 & Bits in {\tt REAL8} mantissa \\ \tt LAL\_REAL8\_MAX & $1.7976931348623157\times10^{308}$ & Largest {\tt REAL8} \\ \tt LAL\_REAL8\_MIN & $2.2250738585072014\times10^{-308}$ & Smallest positive {\tt REAL8} \\ \tt LAL\_REAL8\_EPS & $2.2204460492503131\times10^{-16}$ & $2^{-(\mathtt{LAL\_REAL8\_MANT}-1)}$ \\ \hline \end{tabular} \end{center} \noindent\verb@LAL_REAL4_EPS@ and \verb@LAL_REAL8_EPS@ can be thought of as the difference between 1 and the next representable \verb@REAL4@ or \verb@REAL8@ number. \vspace{3ex} */ #define LAL_REAL4_MANT 24 /* Bits of precision in the mantissa of a REAL4 */ #define LAL_REAL4_MAX 3.40282347e+38 /* Largest REAL4 */ #define LAL_REAL4_MIN 1.17549435e-38 /* Smallest nonzero REAL4 */ #define LAL_REAL4_EPS 1.19209290e-07 /* 0.5^(LAL_REAL4_MANT-1) */ /* I.e. the difference between 1 and the next resolveable REAL4 */ #define LAL_REAL8_MANT 53 /* Bits of precision in the mantissa of a REAL8 */ #define LAL_REAL8_MAX 1.7976931348623157e+308 /* Largest REAL8 */ #define LAL_REAL8_MIN 2.2250738585072014e-308 /* Smallest nonzero REAL8 */ #define LAL_REAL8_EPS 2.2204460492503131e-16 /* 0.5^(LAL_REAL8_MANT-1) */ /* I.e. the difference between 1 and the next resolveable REAL8 */ /* The following are fundamental mathematical constants. They are mostly taken from the GNU C \verb@math.h@ header (with the exception of \verb@LAL_TWOPI@, which was computed using Maple). All numbers are dimensionless. \begin{center} \begin{tabular}{|llc|} \hline Name & Value & Expression \\ \hline \tt LAL\_E & 2.7182818284590452353602874713526625 & $e$ \\ \tt LAL\_LOG2E & 1.4426950408889634073599246810018922 & $\log_2 e$ \\ \tt LAL\_LOG10E & 0.4342944819032518276511289189166051 & $\log_{10} e$ \\ \tt LAL\_LN2 & 0.6931471805599453094172321214581766 & $\log_e 2$ \\ \tt LAL\_LN10 & 2.3025850929940456840179914546843642 & $\log_e 10$ \\ \tt LAL\_SQRT2 & 1.4142135623730950488016887242096981 & $\sqrt{2}$ \\ \tt LAL\_SQRT1\_2 & 0.7071067811865475244008443621048490 & $1/\sqrt{2}$ \\ \tt LAL\_GAMMA & 0.5772156649015328606065120900824024 & $\gamma$ \\ \tt LAL\_PI & 3.1415926535897932384626433832795029 & $\pi$ \\ \tt LAL\_TWOPI & 6.2831853071795864769252867665590058 & $2\pi$ \\ \tt LAL\_PI\_2 & 1.5707963267948966192313216916397514 & $\pi/2$ \\ \tt LAL\_PI\_4 & 0.7853981633974483096156608458198757 & $\pi/4$ \\ \tt LAL\_1\_PI & 0.3183098861837906715377675267450287 & $1/\pi$ \\ \tt LAL\_2\_PI & 0.6366197723675813430755350534900574 & $2/\pi$ \\ \tt LAL\_2\_SQRTPI & 1.1283791670955125738961589031215452 & $2/\sqrt{\pi}$ \\ \tt LAL\_PI\_180 & 1.7453292519943295769236907684886127$\times10^{-2}$ & $\pi/180$ \\ \tt LAL\_180\_PI & 57.295779513082320876798154814105170 & $180/\pi$ \\ \hline \end{tabular} \end{center} */ #define LAL_E 2.7182818284590452353602874713526625L /* e */ #define LAL_LOG2E 1.4426950408889634073599246810018922L /* log_2 e */ #define LAL_LOG10E 0.4342944819032518276511289189166051L /* log_10 e */ #define LAL_LN2 0.6931471805599453094172321214581766L /* log_e 2 */ #define LAL_LN10 2.3025850929940456840179914546843642L /* log_e 10 */ #define LAL_SQRT2 1.4142135623730950488016887242096981L /* sqrt(2) */ #define LAL_SQRT1_2 0.7071067811865475244008443621048490L /* 1/sqrt(2) */ #define LAL_GAMMA 0.5772156649015328606065120900824024L /* gamma */ /* Assuming we're not near a black hole or in Tennessee... */ #define LAL_PI 3.1415926535897932384626433832795029L /* pi */ #define LAL_TWOPI 6.2831853071795864769252867665590058L /* 2*pi */ #define LAL_PI_2 1.5707963267948966192313216916397514L /* pi/2 */ #define LAL_PI_4 0.7853981633974483096156608458198757L /* pi/4 */ #define LAL_1_PI 0.3183098861837906715377675267450287L /* 1/pi */ #define LAL_2_PI 0.6366197723675813430755350534900574L /* 2/pi */ #define LAL_2_SQRTPI 1.1283791670955125738961589031215452L /* 2/sqrt(pi) */ #define LAL_PI_180 1.7453292519943295769236907684886127e-2L /* pi/180 */ #define LAL_180_PI 57.295779513082320876798154814105170L /* 180/pi */ /* \subsection*{Physical constants} \idx[Constant]{LAL\_C\_SI} \idx[Constant]{LAL\_EPSILON0\_SI} \idx[Constant]{LAL\_MU0\_SI} \idx[Constant]{LAL\_GEARTH\_SI} \idx[Constant]{LAL\_PATM\_SI} \idx[Constant]{LAL\_G\_SI} \idx[Constant]{LAL\_H\_SI} \idx[Constant]{LAL\_HBAR\_SI} \idx[Constant]{LAL\_MPL\_SI} \idx[Constant]{LAL\_LPL\_SI} \idx[Constant]{LAL\_TPL\_SI} \idx[Constant]{LAL\_K\_SI} \idx[Constant]{LAL\_R\_SI} \idx[Constant]{LAL\_MOL} \idx[Constant]{LAL\_BWIEN\_SI} \idx[Constant]{LAL\_SIGMA\_SI} \idx[Constant]{LAL\_AMU\_SI} \idx[Constant]{LAL\_MP\_SI} \idx[Constant]{LAL\_ME\_SI} \idx[Constant]{LAL\_QP\_SI} \idx[Constant]{LAL\_ALPHA} \idx[Constant]{LAL\_RE\_SI} \idx[Constant]{LAL\_LAMBDAE\_SI} \idx[Constant]{LAL\_AB\_SI} \idx[Constant]{LAL\_MUB\_SI} \idx[Constant]{LAL\_MUN\_SI} The following physical constants are defined to have exact values. The values of $c$ and $g$ are taken from~\cite{Barnet:1996}, $p_\mathrm{atm}$ is from~\cite{Lang:1992}, while $\epsilon_0$ and $\mu_0$ are computed from $c$ using exact formulae. They are given in the SI units shown. \begin{center} \begin{tabular}{|lll|} \hline Name & Value & Description \\ \hline \tt LAL\_C\_SI & $299\,792\,458\,\mathrm{m}\,\mathrm{s}^{-1}$ & Speed of light $c$ in free space \\ \tt LAL\_EPSILON0\_SI & \multicolumn{2}{l|}{ $8.8541878176203898505365630317107503\times10^{-12}\, \mathrm{C}^2\mathrm{N}^{-1}\mathrm{m}^{-2}$} \\ & & Permittivity $\epsilon_0$ of free space \\ \tt LAL\_MU0\_SI & \multicolumn{2}{l|}{ $1.2566370614359172953850573533118012\times10^{-6}\, \mathrm{N}\,\mathrm{A}^{-2}$} \\ & & Permeability $\mu_0$ of free space \\ \tt LAL\_GEARTH\_SI & $9.80665\,\mathrm{m}\,\mathrm{s}^{-2}$ & Standard gravity $g$ \\ \tt LAL\_PATM\_SI & $101\,325\,\mathrm{Pa}$ & Standard atmospheric pressure $p_\mathrm{atm}$ \\ \hline \end{tabular} \end{center} */ #define LAL_C_SI 299792458 /* Speed of light in vacuo, m s^-1 */ #define LAL_EPSILON0_SI 8.8541878176203898505365630317107503e-12L /* Permittivity of free space, C^2 N^-1 m^-2 */ #define LAL_MU0_SI 1.2566370614359172953850573533118012e-6L /* Permeability of free space, N A^-2 */ #define LAL_GEARTH_SI 9.80665 /* Standard gravity, m s^-2 */ #define LAL_PATM_SI 101325 /* Standard atmosphere, Pa */ /* The following are measured fundamental physical constants, with values given in~\cite{Barnet:1996}. When not dimensionless, they are given in the SI units shown. \begin{center} \begin{tabular}{|lll|} \hline Name & Value & Description \\ \hline \tt LAL\_G\_SI & $6.67259\times10^{-11}\,\mathrm{N}\,\mathrm{m}^{2} \mathrm{kg}^{-2}$ & Gravitational constant $G$ \\ \tt LAL\_H\_SI & $6.6260755\times10^{-34}\,\mathrm{J}\,\mathrm{s}$ & Planck constant $h$ \\ \tt LAL\_HBAR\_SI & $1.05457266\times10^{-34}\,\mathrm{J}\,\mathrm{s}$ & Reduced Planck constant $\hbar$ \\ \tt LAL\_MPL\_SI & $2.17671\times10^{-8}\,\mathrm{kg}$ & Planck mass \\ \tt LAL\_LPL\_SI & $1.61605\times10^{-35}\,\mathrm{m}$ & Planck length \\ \tt LAL\_TPL\_SI & $5.39056\times10^{-44}\,\mathrm{s}$ & Planck time \\ \tt LAL\_K\_SI & $1.380658\times10^{-23}\,\mathrm{J}\,\mathrm{K}^{-1}$ & Boltzmann constant $k$ \\ \tt LAL\_R\_SI & $8.314511\,\mathrm{J}\,\mathrm{K}^{-1}$ & Ideal gas constant $R$ \\ \tt LAL\_MOL & $6.0221367\times10^{23}$ & Avogadro constant \\ \tt LAL\_BWIEN\_SI & $2.897756\times10^{-3}\,\mathrm{m}\,\mathrm{K}$ & Wien displacement law constant $b$ \\ \tt LAL\_SIGMA\_SI & $5.67051\times10^{-8}\,\mathrm{W}\,\mathrm{m}^{-2} \mathrm{K}^{-4}$ & Stefan-Boltzmann constant $\sigma$ \\ \tt LAL\_AMU\_SI & $1.6605402\times10^{-27}\,\mathrm{kg}$ & Atomic mass unit \\ \tt LAL\_MP\_SI & $1.6726231\times10^{-27}\,\mathrm{kg}$ & Proton mass \\ \tt LAL\_ME\_SI & $9.1093897\times10^{-31}\,\mathrm{kg}$ & Electron mass \\ \tt LAL\_QP\_SI & $1.60217733\times10^{-19}\,\mathrm{C}$ & Proton charge \\ \tt LAL\_ALPHA & $7.297354677\times10^{-3}$ & Fine structure constant \\ \tt LAL\_RE\_SI & $2.81794092\times10^{-15}\,\mathrm{m}$ & Classical electron radius $r_e$ \\ \tt LAL\_LAMBDAE\_SI & $3.86159323\times10^{-13}\,\mathrm{m}$ & Electron Compton wavelength $\lambda_e$ \\ \tt LAL\_AB\_SI & $5.29177249\times10^{-11}\,\mathrm{m}$ & Bohr radius $a$\\ \tt LAL\_MUB\_SI & $9.27401543\times10^{-24}\,\mathrm{J}\,\mathrm{T}^{-1}$ & Bohr magneton $\mu_B$ \\ \tt LAL\_MUN\_SI & $5.05078658\times10^{-27}\,\mathrm{J}\,\mathrm{T}^{-1}$ & Nuclear magneton $\mu_N$ \\ \hline \end{tabular} \end{center} */ #define LAL_G_SI 6.67259e-11 /* Gravitational constant, N m^2 kg^-2 */ #define LAL_H_SI 6.6260755e-34 /* Planck constant, J s */ #define LAL_HBAR_SI 1.05457266e-34 /* Reduced Planck constant, J s */ #define LAL_MPL_SI 2.17671e-8 /* Planck mass, kg */ #define LAL_LPL_SI 1.61605e-35 /* Planck length, m */ #define LAL_TPL_SI 5.39056e-44 /* Planck time, s */ #define LAL_K_SI 1.380658e-23 /* Boltzmann constant, J K^-1 */ #define LAL_R_SI 8.314511 /* Ideal gas constant, J K^-1 */ #define LAL_MOL 6.0221367e23 /* Avogadro constant, dimensionless */ #define LAL_BWIEN_SI 2.897756e-3 /* Wien displacement law constant, m K */ #define LAL_SIGMA_SI 5.67051e-8 /* Stefan-Boltzmann constant, W m^-2 K^-4 */ #define LAL_AMU_SI 1.6605402e-27 /* Atomic mass unit, kg */ #define LAL_MP_SI 1.6726231e-27 /* Proton mass, kg */ #define LAL_ME_SI 9.1093897e-31 /* Electron mass, kg */ #define LAL_QE_SI 1.60217733e-19 /* Electron charge, C */ #define LAL_ALPHA 7.297354677e-3 /* Fine structure constant, dimensionless */ #define LAL_RE_SI 2.81794092e-15 /* Classical electron radius, m */ #define LAL_LAMBDAE_SI 3.86159323e-13 /* Electron Compton wavelength, m */ #define LAL_AB_SI 5.29177249e-11 /* Bohr radius, m */ #define LAL_MUB_SI 9.27401543e-24 /* Bohr magneton, J T^-1 */ #define LAL_MUN_SI 5.05078658e-27 /* Nuclear magneton, J T^-1 */ /* \subsection*{Astrophysical parameters} \idx[Constant]{LAL\_REARTH\_SI} \idx[Constant]{LAL\_AWGS84\_SI} \idx[Constant]{LAL\_BWGS84\_SI} \idx[Constant]{LAL\_MEARTH\_SI} \idx[Constant]{LAL\_IEARTH} \idx[Constant]{LAL\_EEARTH} \idx[Constant]{LAL\_RSUN\_SI} \idx[Constant]{LAL\_MSUN\_SI} \idx[Constant]{LAL\_MRSUN\_SI} \idx[Constant]{LAL\_MTSUN\_SI} \idx[Constant]{LAL\_LSUN\_SI} \idx[Constant]{LAL\_AU\_SI} \idx[Constant]{LAL\_PC\_SI} \idx[Constant]{LAL\_YRTROP\_SI} \idx[Constant]{LAL\_YRSID\_SI} \idx[Constant]{LAL\_DAYSID\_SI} \idx[Constant]{LAL\_LYR\_SI} \idx[Constant]{LAL\_H0\_SI} \idx[Constant]{LAL\_H0FAC\_SI} \idx[Constant]{LAL\_RHOC\_SI} \idx[Constant]{LAL\_RHOCFAC\_SI} \idx[Constant]{LAL\_TCBR\_SI} \idx[Constant]{LAL\_VCBR\_SI} \idx[Constant]{LAL\_RHOCBR\_SI} \idx[Constant]{LAL\_NCBR\_SI} \idx[Constant]{LAL\_SCBR\_SI} The following parameters are derived from measured properties of the Earth and Sun. The values are taken from~\cite{Barnet:1996}, except for the obliquity of the ecliptic plane and the eccentricity of Earth's orbit, which are taken from~\cite{Lang:1992}. All values are given in the SI units shown. \begin{center} \begin{tabular}{|lll|} \hline Name & Value & Description \\ \hline \tt LAL\_REARTH\_SI & $6.378140\times10^6\,\mathrm{m}$ & Earth equatorial radius \\ \tt LAL\_AWGS84\_SI & $6.378137\times10^6\,\mathrm{m}$ & Semimajor axis of WGS-84 Reference Ellipsoid \\ \tt LAL\_BWGS84\_SI & $6.356752314\times10^6\,\mathrm{m}$ & Semiminor axis of WGS-84 Reference Ellipsoid \\ \tt LAL\_MEARTH\_SI & $5.97370\times10^{24}\,\mathrm{kg}$ & Earth mass \\ \tt LAL\_IEARTH & $0.409092804\,\mathrm{rad}$ & Obliquity of the ecliptic (2000) \\ \tt LAL\_EEARTH & 0.0167 & Earth orbital eccentricity \\ \tt LAL\_RSUN\_SI & $6.960\times10^8\,\mathrm{m}$ & Solar equatorial radius\\ \tt LAL\_MSUN\_SI & $1.98892\times10^{30}\,\mathrm{kg}$ & Solar mass \\ \tt LAL\_MRSUN\_SI & $1.47662504\times10^3\,\mathrm{m}$ & Geometrized solar mass (length) \\ \tt LAL\_MTSUN\_SI & $4.92549095\times10^{-6}\,\mathrm{s}$ & Geometrized solar mass (time) \\ \tt LAL\_LSUN\_SI & $3.846\times10^{26}\,\mathrm{W}$ & Solar luminosity \\ \tt LAL\_AU\_SI & $1.4959787066\times10^{11}\,\mathrm{m}$ & Astronomical unit \\ \tt LAL\_PC\_SI & $3.0856775807\times10^{16}\,\mathrm{m}$ & Parsec \\ \tt LAL\_YRTROP\_SI & $31\,556\,925.2\,\mathrm{s}$ & Tropical year (1994) \\ \tt LAL\_YRSID\_SI & $31\,558\,149.8\,\mathrm{s}$ & Sidereal year (1994) \\ \tt LAL\_DAYSID\_SI & $86\,164.09053\,\mathrm{s}$ & Mean sidereal day \\ \tt LAL\_LYR\_SI & $9.46052817\times10^{15}\,\mathrm{m}$ & $c\times$tropical year (1994) \\ \hline \end{tabular} \end{center} */ #define LAL_REARTH_SI 6.378140e6 /* Earth equatorial radius, m */ #define LAL_AWGS84_SI 6.378137e6 /* Semimajor axis of WGS-84 Reference Ellipsoid, m */ #define LAL_BWGS84_SI 6.356752314e6 /* Semiminor axis of WGS-84 Reference Ellipsoid, m */ #define LAL_MEARTH_SI 5.97370e24 /* Earth mass, kg */ #define LAL_IEARTH 0.409092804 /* Earth inclination (2000), radians */ #define LAL_EEARTH 0.0167 /* Earth orbital eccentricity */ #define LAL_RSUN_SI 6.960e8 /* Solar equatorial radius, m */ #define LAL_MSUN_SI 1.98892e30 /* Solar mass, kg */ #define LAL_MRSUN_SI 1.47662504e3 /* Geometrized solar mass, m */ #define LAL_MTSUN_SI 4.92549095e-6 /* Geometrized solar mass, s */ #define LAL_LSUN_SI 3.846e26 /* Solar luminosity, W */ #define LAL_AU_SI 1.4959787066e11 /* Astronomical unit, m */ #define LAL_PC_SI 3.0856775807e16 /* Parsec, m */ #define LAL_YRTROP_SI 31556925.2 /* Tropical year (1994), s */ #define LAL_YRSID_SI 31558149.8 /* Sidereal year (1994), s */ #define LAL_DAYSID_SI 86164.09053 /* Mean sidereal day, s */ #define LAL_LYR_SI 9.46052817e15 /* ``Tropical'' lightyear (1994), m */ /* The following cosmological parameters are derived from measurements of the Hubble expansion rate and of the cosmic background radiation (CBR). Data are taken from~\cite{Barnet:1996}. In what follows, the normalized Hubble constant $h_0$ is equal to the actual Hubble constant $H_0$ divided by $\langle H \rangle=100\,\mathrm{km}\,\mathrm{s}^{-1}\mathrm{Mpc}^{-1}$. Thus the Hubble constant can be written as: $$ H_0 = \langle H \rangle h_0 \; . $$ Similarly, the critical energy density $\rho_c$ required for spatial flatness is given by: $$ \rho_c = \langle\rho\rangle h_0^2 \; . $$ Current estimates give $h_0$ a value of around 0.65, which is what is assumed below. All values are in the SI units shown. \begin{center} \begin{tabular}{|lll|} \hline Name & Value & Description \\ \hline \tt LAL\_H0\_SI & $2\times10^{-18}\,\mathrm{s}^{-1}$ & Approx.\ Hubble constant $H_0$ \\ \tt LAL\_H0FAC\_SI & $3.2407792903\times10^{-18}\,\mathrm{s}^{-1}$ & $H_0/h_0$ \\ \tt LAL\_RHOC\_SI & $7\times10^{-10}\,\mathrm{J}\,\mathrm{m}^{-3}$ & Approx.\ critical energy density $\rho_c$ \\ \tt LAL\_RHOCFAC\_SI & $1.68860\times10^{-9}\,\mathrm{J}\,\mathrm{m}^{-3}$ & $\rho_c/h_0^2$ \\ \tt LAL\_TCBR\_SI & $2.726 \mathrm{K}$ & CBR temperature \\ \tt LAL\_VCBR\_SI & $3.695\times10^5\,\mathrm{m}\,\mathrm{s}^{-1}$ & Solar velocity with respect to CBR \\ \tt LAL\_RHOCBR\_SI & $4.177\times10^{-14}\,\mathrm{J}\,\mathrm{m}^{-3}$ & Energy density of CBR \\ \tt LAL\_NCBR\_SI & $4.109\times10^8\,\mathrm{m}^{-3}$ & Number density of CBR photons \\ \tt LAL\_SCBR\_SI & $3.993\times10^{-14}\,\mathrm{J}\,\mathrm{K}^{-1} \mathrm{m}^{-3}$ & Entropy density of CBR \\ \hline \end{tabular} \end{center} */ #define LAL_H0FAC_SI 3.2407792903e-18 /* Hubble constant prefactor, s^-1 */ #define LAL_H0_SI 2e-18 /* Approximate Hubble constant, s^-1 */ /* Hubble constant H0 = h0*HOFAC, where h0 is around 0.65 */ #define LAL_RHOCFAC_SI 1.68860e-9 /* Critical density prefactor, J m^-3 */ #define LAL_RHOC_SI 7e-10 /* Approximate critical density, J m^-3 */ /* Critical density RHOC = h0*h0*RHOCFAC, where h0 is around 0.65 */ #define LAL_TCBR_SI 2.726 /* Cosmic background radiation temperature, K */ #define LAL_VCBR_SI 3.695e5 /* Solar velocity with respect to CBR, m s^-1 */ #define LAL_RHOCBR_SI 4.177e-14 /* Energy density of CBR, J m^-3 */ #define LAL_NCBR_SI 4.109e8 /* Number density of CBR photons, m^-3 */ #define LAL_SCBR_SI 3.993e-14 /* Entropy density of CBR, J K^-1 m^-3 */ /* \vfill{\footnotesize\input{LALConstantsHV}} */ #ifdef __cplusplus } #endif #endif /* _LALCONSTANTS_H */