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Unit 2Lesson 5 3 min read

Cosmic Distances and Standard Candles

11/18

Learning Objectives

Explain the concept of parallax for measuring the distances to nearby stars.
Define a 'standard candle' in astronomy.
Explain how Type Ia supernovae are used as standard candles to measure the distances to faraway galaxies.
Understand that measuring cosmic distances is a step-by-step process known as the cosmic distance ladder.

Measuring the Universe

Determining the distances to celestial objects is one of the most fundamental and challenging tasks in astronomy. Since we cannot visit them, we must rely on clever indirect methods. These methods form a sequence called the Cosmic Distance Ladder, where techniques used for nearby objects are used to calibrate techniques for more distant ones.

Step 1: Parallax (Nearby Stars)

Stellar parallax is the apparent shift in the position of a nearby star against the background of distant stars when viewed from two different locations.

Method: Astronomers measure a star's position in the sky, and then measure it again six months later, when the Earth is on the opposite side of its orbit around the Sun. The tiny angle of the apparent shift is the parallax angle.
Use: Using simple trigonometry, this angle can be used to calculate the distance to the star. Parallax is the most direct and accurate method for measuring stellar distances, but it only works for relatively nearby stars within our own galaxy.

Standard Candles: Known Brightness

To measure the distances to faraway galaxies, astronomers need objects of known luminosity—a 'standard candle'.

A standard candle is an astronomical object that has a known, well-defined absolute magnitude (intrinsic brightness).

The Principle: If you know how bright an object truly is (its absolute magnitude) and you measure how bright it appears to us (its apparent magnitude), you can calculate its distance. This is based on the inverse square law for light: a light source appears dimmer the farther away it is, in a predictable way. Think of it like knowing a car's headlights are always 100 watts; by seeing how dim they appear, you can judge how far away the car is.

Type Ia Supernovae: The Best Standard Candles

The most important standard candles for measuring vast cosmic distances are Type Ia supernovae.

Mechanism: A Type Ia supernova occurs when a white dwarf star in a binary system accretes enough mass from its companion to exceed a critical mass limit (the Chandrasekhar limit, about 1.4 times the mass of the Sun). This triggers a runaway thermonuclear explosion.
Why they work: Because they always explode at almost exactly the same mass, the explosions have a very consistent and extremely high peak luminosity.
Use: By finding a Type Ia supernova in a distant galaxy and measuring its apparent brightness, astronomers can calculate the distance to that galaxy with great accuracy. It was the observation of these supernovae in the late 1990s that led to the discovery of the accelerating expansion of the universe and dark energy.

Key Terms

Parallax
The apparent displacement of an observed object due to a change in the position of the observer.
Standard Candle
An astronomical object that has a known absolute magnitude (intrinsic brightness), which can be used to determine its distance using the inverse square law.
Inverse Square Law
A law stating that a specified physical quantity (like light intensity) is inversely proportional to the square of the distance from its source.
Type Ia Supernova
A type of supernova that occurs in a binary system where a white dwarf star accretes matter from a companion, eventually triggering a catastrophic thermonuclear explosion. They are used as powerful standard candles.
Cosmic Distance Ladder
The succession of methods by which astronomers determine the distances to celestial objects.

Check Your Understanding

1

What is stellar parallax, and what is it used to measure?

2

In astronomy, what is a 'standard candle'?

3

Why are Type Ia supernovae such excellent standard candles for measuring the distances to faraway galaxies?