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Astrophysics and Cosmology

Astronomical distances, parallax and the cosmological principle

  • 3 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on the astronomical unit, light-year and parsec, stellar parallax and distance calculations, and what homogeneous and isotropic mean in the cosmological principle.

What you need to know

Answer each one before you reveal it.

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Numbers

Define the astronomical unit and the light-year, and state the equation relating parallax angle to distance.

Key term

What is a light-year?

Key term

State the equation relating parallax angle to distance, defining each term.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the astronomical unit (AU).

    Model answer

    The AU is the mean distance from the Earth to the Sun, approximately 1.50 × 10¹¹ m.

  2. 2

    What is a light-year?

    Model answer

    A light-year is the distance light travels in one year in a vacuum, approximately 9.46 × 10¹⁵ m.

  3. 3

    Define the parsec.

    Model answer

    A parsec is the distance at which a star would have a parallax angle of one arcsecond, approximately 3.09 × 10¹⁶ m or 3.26 light-years.

  4. 4

    What is stellar parallax?

    Model answer

    Stellar parallax is the apparent shift in position of a nearby star against the background of distant stars when observed from opposite sides of Earth's orbit around the Sun.

  5. 5

    How is the parallax angle related to the total angular shift observed over six months?

    Model answer

    The parallax angle is half the total angular shift observed over a six-month period as Earth moves from one side of its orbit to the other.

  6. 6

    State the equation relating parallax angle to distance, defining each term.

    Model answer

    d = 1/p, where p is the parallax angle in arcseconds and d is the distance in parsecs.

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