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Orbits and the Wider Universe

Radial velocity and the Doppler shift of spectral lines

  • 3 things to know
  • A2 Unit 4 Section A

Overview

Recall questions on Radial velocity and the Doppler shift of spectral lines.

What you need to know

Answer each one before you reveal it.

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Key term

Define the radial velocity of a star.

Key term

Give the Doppler relationship used for a star's radial velocity and define every symbol.

Key term

Which way is a spectral line shifted for a receding star?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the radial velocity of a star.

    Model answer

    Radial velocity is the component of a star's velocity along the line joining it to an observer on the Earth.

  2. 2

    Give the Doppler relationship used for a star's radial velocity and define every symbol.

    Model answer

    Δλ/λ = v/c, where Δλ is the shift in wavelength, λ the emitted wavelength, v the radial velocity and c the speed of light.

  3. 3

    Which way is a spectral line shifted for a receding star?

    Model answer

    Towards longer wavelengths, so the line is red-shifted.

  4. 4

    Which way is it shifted for an approaching star?

    Model answer

    Towards shorter wavelengths, so the line is blue-shifted.

  5. 5

    How is the shift measured in practice?

    Model answer

    The wavelength of a known absorption line in the star's spectrum is compared with the wavelength of the same line measured in a laboratory source.

  6. 6

    A line of laboratory wavelength 486.1 nm is observed at 486.4 nm. Calculate the radial velocity.

    Model answer

    Δλ/λ = 0.3 ÷ 486.1 = 6.17 × 10⁻⁴, so v = 6.17 × 10⁻⁴ × 3.00 × 10⁸, which is 1.85 × 10⁵ m s⁻¹ of recession.

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