The observed recession velocity of a galaxy is the sum of its
Hubble flow velocity, vH = H0d, and the line-of-sight (LOS)
component of its peculiar velocity, vp, due to local gravitational
effects.
a) Suppose we measure H0 by measuring the distance and
redshift for a single galaxy. Write an expression for how the error
in our measurement depends on the peculiar velocity of the
galaxy?
b) At what distance can we measure H0 to 5%? Assume
the true value of H0 is 74 km s−1 Mpc−1 and a typical LOS peculiar
velocity is vp = 200 km s−1 .
c) The Virgo cluster contains ∼ 1300
galaxies and is at a distance of 16 Mpc. The galaxies have an RMS
velocity about their center of mass of 600 km s−1 . How many
galaxies do we need to observe in Virgo to reduce the error in H0
due to peculiar velocities to 5%? Hint: look up how you calculate
the error on a mean if you don’t know
The observed recession velocity of a galaxy is the sum of its Hubble flow velocity, vH...
3. The observed recession velocity of a galaxy is the sum of its Hubble flow velocity, UH = Hod, and the line-of-sight (LOS) component of its peculiar velocity, vp, due to local gravitational effects. a) Suppose we measure Ho by measuring the distance and redshift for a single galaxy velocity of the galaxy?10 b) At what distance can we measure Ho to 5%? Assume the true value of Ho is 74 kin s-"Mpc-1 and a typical LOS peculiar velocity is...
The Hubble Parameter The constant describing the rate of this recession, called the Hubble parameterHubble parameterA measure of the rate of expansion of the universe, which is the average value of the velocity of recession divided by distance: about 70 km/s/megaparsec. Hubble parameter A measure of the rate of expansion of the universe, which is the average value of the velocity of recession divided by distance: about 70 km/s/megaparsec. , is used to determine the age and size of the...
Suppose that you have obtained spectra of several galaxies and have measured the observed wavelength of the H-alpha line (rest wavelength = 656.3nm) to be: Galaxy 1: 659.4 nm. Galaxy 2: 664.1 nm. Galaxy 3: 675.7 nm. 10. [4pt] Calculate the redshift, z, for each of these galaxies. 11. [4pt] Calculate the radial velocity of each of these galaxies. 12. [4pt] Assuming a Hubble Constant of 66.4 km/s/Mpc, calculate the distance to each of these galaxies (answer in Mpc).
Assume a typical galaxy in the Coma cluster moves at a speed approximately equal to the cluster’s velocity dispersion, 977 km s−1 , and the diameter of the Coma cluster is 6 Mpc. a) [5 pts] Estimate how long a galaxy in the Coma cluster would take to travel from one side to the other. b) [2 pts] How does this compare to the present-day Hubble time, tH? c) [3 pts] If there are 1000 galaxies in the Coma cluster,...
2000 Ho=68 km/s MPC + Redshift (km/s) 1000 + + Virgo Cluster + 10 20 Distance (Mpc) 0 The universe is expanding according to Edwin Hubble's famous equation v = Hod where v is the velocity of a galaxy at distance d away. Professional astronomers usually talk about Hubble's Constant in the weird units of H, = 70 km/sec/Mpc. This final unit, "Mpo" is the "Megaparsec" and it equals approximately 3 million light years. This is a powerful equation. It...
a) A galaxy cluster has a recessional velocity of 44,000 km/s. Using the best estimate for Hubble's constant, find the distance to the galaxy cluster. ____________ Mpc b) Suppose the Hubble constant had a value of H= 145 km/s/Mpc. What would be the age of the universe? __________ billion years c) What if H had a value of 35 km/s/Mpc? ____________ billion years
this pic will helpful upper one is not clear 1.For Galaxy M87 calculate the distance d in Mpc and recessional velocity vr in km/s. Put your answers separated by a comma. 2.For Galaxy M60 calculate the distance d in Mpc and recessional velocity vr km/s. Put your answers separated by a comma. 3.For Galaxy M104 calculate the distance d in Mpc and recessional velocity vr km/s. Put your answers separated by a comma. 4.For Galaxy M95 calculate the distance d...
(c) The following galaxies have had their redshifts measured, and from those, their recession velocities inferred. Using the formulas introduced in the above lesson (under the heading A Shortcut to Galaxy Distances), complete the following table. Assume H 70 km/(s/Mpc). Distance d (Mpc) Redshift z Galaxy Velocity v (km/s) 0.0046 NGC 1326 1,370 NGC 2410 4,600 65.7 NGC 3506 0.021
2000 Ho=68 km/s Mpc x Redshift (km/s) 1000 + * + Virgo Cluster + + + 0 10 20 Distance (Mpc) 1 The age of the universe can be estimated by calculating which corresponds to the amount of time it H would take for all the galaxies to get to the distances they are today if they had been moving away from us at the time of the Big Bang with the speeds we measure them to be moving. The...
2000 Ho=68 km/s Mpc * Redshift (km/s) 1000 * Virgo Cluster 0 + + 0 a Montenele best 20 10 Distance (Mpc) Part 5/6 Let's now calculate the number of years that is, recalling that one year equals approximately 3 x 107 seconds x 10 നമാലയിൽ രാജി years Terms The universe is expanding according to Edwin Hubble's famous equation Hod where v is the velocity of a galaxy at distance d away. Professional astronomers usually talk about Hubble's Constant in...