Chapter 3 - Applications of The Increment Approximation

Abstract

This chapter presents an application of the increment approximation R (t+δt) = R (t) + R'(t) δt + ɛδt by examining a derivation of Hubble's law. As all distant galaxies are red-shifted, they all are moving away from the earth. It seems that they can all be moving away only if the universe is expanding. Hubble proposed his empirical rule to calculate the shifts based on observable color of the stars moving away from the earth. Hubble's law states the following▪. Much effort has gone into trying to build theoretical models of the universe that will satisfy Hubble's Law.