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Space

Trigonometric parallax and standard candles

  • 2 things to know
  • Papers 2 and 3

Overview

Recall questions on the parallax method and its range limit, the astronomical unit and the parsec, what a standard candle is, and why intervening dust distorts a distance.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What is an astronomical unit, and how is a star's distance found from its luminosity and the intensity received?

Key term

Which two types of object are commonly used as standard candles?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is trigonometric parallax?

    Model answer

    It is the apparent shift in a nearby star's position against the distant background stars, caused by the Earth moving to different points in its orbit.

  2. 2

    How is a star's distance measured using trigonometric parallax?

    Model answer

    Measure the star's apparent angular shift against the far background six months apart, halve it to obtain the parallax angle p, and use the Earth's orbital radius as the baseline so that d = 1 AU divided by p in radians.

  3. 3

    What is an astronomical unit?

    Model answer

    It is the mean distance from the Earth to the Sun, about 1.5 × 10¹¹ m.

  4. 4

    What is a parsec?

    Model answer

    It is the distance at which a star would show a parallax angle of one arcsecond, equal to about 3.09 × 10¹⁶ m.

  5. 5

    A star has a parallax angle of 0.25 arcseconds. How far away is it in parsecs and in metres?

    Model answer

    The distance is 1/0.25 = 4.0 pc, which is 4.0 × 3.09 × 10¹⁶ = 1.2 × 10¹⁷ m.

  6. 6

    Why can trigonometric parallax only be used for relatively nearby stars?

    Model answer

    The parallax angle becomes smaller as distance increases, and beyond a few thousand parsecs it is too small to measure reliably against the uncertainty.

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