A galaxy G is moving away radially with speed with respect to an observer O. The relation between X, the wavelength of light emitted at G, and λo, the wavelength observed at O, is 入。 λ = λe λε 1+B 1- B' = where ẞ v/c (c is the speed of light). For ẞ < 1 find a power series expansion of the above formula up to and including terms of order ẞ³.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 55P: The arc length formula says the length sof arc subtended by angle in a circle of radius r is given...
Question
A galaxy G is moving away radially with speed with respect to an observer O. The relation
between X, the wavelength of light emitted at G, and λo, the wavelength observed at O, is
入。
λ = λe
λε
1+B
1- B'
=
where ẞ v/c (c is the speed of light). For ẞ < 1 find a power series expansion of the
above formula up to and including terms of order ẞ³.
Transcribed Image Text:A galaxy G is moving away radially with speed with respect to an observer O. The relation between X, the wavelength of light emitted at G, and λo, the wavelength observed at O, is 入。 λ = λe λε 1+B 1- B' = where ẞ v/c (c is the speed of light). For ẞ < 1 find a power series expansion of the above formula up to and including terms of order ẞ³.
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