Hubble\'s law. Hubble found that distant galaxies are receding with a velocity p

Question

Hubble's law. Hubble found that distant galaxies are receding with a velocity proportional to their distance from where we are on Earth. For the ith galaxy vi = H0ri
with us at the origin. Show that this recession of the galaxies from us does not imply that we are at the enter of the universe. Specifically, take the galaxy at r1 as a new origin and show that Hubble's law is still obeyed.
Hubble's law. Hubble found that distant galaxies are receding with a velocity proportional to their distance from where we are on Earth. For the ith galaxy vi = H0ri
with us at the origin. Show that this recession of the galaxies from us does not imply that we are at the enter of the universe. Specifically, take the galaxy at r1 as a new origin and show that Hubble's law is still obeyed.

Explanation / Answer

Analysis of redshifts from many distant galaxies led Edwin Hubble to a remarkable conclusion:The speed of recession v of a galaxy is proportional to its distance r from us.This relation is now called the Hubble law;its symbolic statement is

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