Package CRAC. February 19, 2015
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1 Type Package Title Cosmology R Analysis Code Version 1.0 Date Author Jiayi Liu Maintainer Jiayi Liu <jiayiliu@usm.lmu.de> Package CRAC February 19, 2015 R functions for logical research. The main functions are similar to the python library, lopy. License GPL (>= 2) [H99] Hogg 1999, [PDG] Particle Data Group, NeedsCompilation no Repository CRAN Date/Publication :22:12 R topics documented: distance.angular distance.comoving distance.luminosity distance.transverse ez ez parameter.constant parameter.dh parameter.fid parameter.unit rhoc valid Index 10 1
2 2 distance.angular distance.angular compute the angular diameter distance [Mpc/h] ONLY FOR flat universe, Ω k = 0. distance.angular(,, 0 = 0,...) 0 redshift upper limit logical parameter list redshift lower limit... pass to integrate() to control integration accuracy. Angular diameter distance from 0 (= 0) to [Mpc/h] Equation (18) in [H99] distance.comoving distance.angular(0.1,parameter.fid) distance.angular(0.3,list(omegam0=0.272,omegal0=0.728,omegak=0.0,h=0.704))
3 distance.comoving 3 distance.comoving compute the comoving distance (line-of-sight) [Mpc/h] compute the comoving distance (line-of-sight) [Mpc/h] distance.comoving(,, 0 = 0,...) redshift upper limit logical parameter list 0 redshift lower limit... pass to integrate() to control integration accuracy. Comoving distance from 0 (= 0) to to [Mpc/h] Equation (15) in [H99] distance.comoving(0.2,parameter.fid,0=0.3) sapply(seq(0,1,0.1),function (x) distance.comoving(x,parameter.fid)) distance.luminosity Compute the luminosity distance [Mpc/h] Compute the luminosity distance [Mpc/h] distance.luminosity(,, 0 = 0,...)
4 4 distance.transverse redshift upper limit logical parameter list 0 redshift lower limit... pass to integrate() to control integration accuracy. Luminosity distance from 0 (= 0) to [Mpc/h] Equation (20) in [H99] distance.angular,distance.comoving distance.luminosity(0.1,parameter.fid) distance.transverse compute the comoving distance (transverse) [Mpc/h] compute the comoving distance (transverse) [Mpc/h] distance.transverse(,, 0 = 0,...) redshift upper limit logical parameter list 0 redshift lower limit... pass to integrate() to control integration accuracy. Comoving distance from 0 (= 0) to [Mpc/h] Equation (16) in [H99]
5 ez 5 distance.comoving distance.transverse(0.1,parameter.fid) ez compute E() of given logy Compute the E() = H()/H 0, or E() Ω M (1 + ) 3 + Ω k (1 + ) 2 + Ω Λ (1 + ) (1+w),whereweomittheradiationcomponent. ez(, ) Redshift logy parameter list, contains omegam0, omegal0, omegak The dimentionless Hubble constant H()/H 0 Equation (14) in [H99] ez2,parameter.fid ez(1.2,parameter.fid)
6 6 parameter.constant ez2 compute E^2() of given logy Compute the E 2 () = (H()/H 0 ) 2 ez2(, ) Redshift logy parameter list, contains omegam0, omegal0, omegak The dimentionless Hubble constant H()/H 0 Equation (14) in [H99] ez ez2(1.2,parameter.fid) parameter.constant Physical constants in SI units, source: [PDG] Useful physical constants in SI units. parameter.constant
7 parameter.dh 7 Format List of 8 $ c : num 3e+08 $ me : num 9.11e-31 $ h : num 6.63e-34 $ mp : num 1.67e-27 $ e : num 1.6e-19 $ G : num 6.67e-11 $ k : num 1.38e-23 $ sigma.t: num 6.65e-29 parameter.dh Hubble Distance D_H = c/h_0 [Mpc/h] Hubble Distance D H = c/h 0 [Mpc/h] parameter.dh Format num 2998 parameter.fid Fiducial logy parameter list Format the parameter list is a crucial input for other calculations parameter.fid List of 4 $ omegam0: num 0.3 $ omegal0: num 0.7 $ omegak : num 0 $ h : num 0.7
8 8 rhoc parameter.unit useful conversion of astrophysical units useful conversion of astrophysical units parameter.unit Format List of 3 $ Mpc : num 3.09e+22 $ Msun: num 1.99e+30 $ ev : num 1.6e-19 rhoc calculate the critical density at redshift calculate the critical density at redshift rhoc(, ) redshift logical parameter list return the critical densith at given redshift in h 2 0kg/m 3 ] # get the critial density at =0 rhoc(0,parameter.fid)
9 valid. 9 valid. validate the logial parameters are enough validate the logical parameter list is complete for other usage. If missing data detected, it will be filled with fiducial value. Also the warning message is printed in red for *nix enviroment. valid.() logical parameter list the list will be updated if important variables are missing parameter.fid # there are two typos in the logy parameter list a <- list(omegam=0.272,omegal0=0.728,omegak=0.0,h0=0.704) valid.(a) print(a)
10 Index Topic datasets parameter.constant, 6 parameter.dh, 7 parameter.fid, 7 parameter.unit, 8 distance.angular, 2, 4 distance.comoving, 2, 3, 4, 5 distance.luminosity, 3 distance.transverse, 4 ez, 5, 6 ez2, 5, 6 parameter.constant, 6 parameter.dh, 7 parameter.fid, 5, 7, 9 parameter.unit, 8 rhoc, 8 valid., 9 10
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