Astro 735 - Problems Set 3 - Solutions


1. and 2.: Values for dV, V(z), D_L, and D_A for 5 sets
of cosmological parameters are listed below. 

Ot = Omega(tota)
Ol = Omega(lambda)
h65 = H0 / 65 kms/s-Mpc

		dV/dz (c/H0)^3 ster^-1	dV/dz (Mpc/h65)^3 deg^-2
Ot  Ol		z=1	   z=1000	z=1	   z=1000
0.1 0.0		0.2515E+00 0.2721E-01 	0.7532E+07 0.8149E+06
0.3 0.0		0.2061E+00 0.2103E-02	0.6173E+07 0.6297E+05
1.0 0.0		0.1213E+00 0.1184E-03	0.3633E+07 0.3547E+04
0.3 0.7		0.3380E+00 0.5865E-03	0.1012E+08 0.1756E+05
0.1 0.9		0.6126E+00 0.2406E-02	0.1835E+08 0.7206E+05

		V(z) (c/H0)^3  ster^-1	V(z) (Mpc/h65)^3 deg^-2
Ot  Ol		z=1	   z=1000	z=1	   z=1000
0.1 0.0		0.1131E+00 0.1426E+03	0.3387E+07 0.4270E+10
0.3 0.0		0.9836E-01 0.2027E+02	0.2946E+07 0.6071E+09
1.0 0.0		0.6700E-01 0.2423E+01	0.2007E+07 0.7257E+08
0.3 0.7		0.1530E+00 0.1081E+02	0.4583E+07 0.3237E+09
0.1 0.9		0.2380E+00 0.3963E+02	0.7127E+07 0.1187E+10

		D_L (c/H0)		D_L (Mpc/h65)
Ot  Ol		z=1	   z=1000	z=1	   z=1000
0.1 0.0		0.1453E+01 0.1656E+05	0.6704E+04 0.7644E+08
0.3 0.0		0.1371E+01 0.6049E+04	0.6328E+04 0.2792E+08	
1.0 0.0		0.1172E+01 0.1939E+04	0.5407E+04 0.8948E+07
0.3 0.7		0.1543E+01 0.3193E+04	0.7121E+04 0.1474E+08
0.1 0.9		0.1787E+01 0.4914E+04	0.8250E+04 0.2268E+08

		D_A (c/H0)		D_A (Mpc/h65)
Ot  Ol		z=1	   z=1000	z=1	   z=1000
0.1 0.0		0.3632E+00 0.1653E-01	0.1676E+04 0.7628E+02
0.3 0.0		0.3428E+00 0.6037E-02	0.1582E+04 0.2786E+02
1.0 0.0		0.2929E+00 0.1935E-02	0.1352E+04 0.8930E+01
0.3 0.7		0.3857E+00 0.3186E-02	0.1780E+04 0.1471E+02
0.1 0.9		0.4469E+00 0.4904E-02	0.2062E+04 0.2263E+02