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Astronomy

Galaxies, Hubble's Law, and Cosmology

Beyond the Milky Way lie billions of other galaxies, and they are nearly all rushing away from us. That simple fact, captured in Hubble’s law, tells us the universe is expanding and lets us estimate its age. In this lab you will classify galaxies and use the link between distance and recession speed to measure the Hubble constant and the age of the universe.

Theory — Galaxies, Hubble’s Law, and Cosmology

Galaxies are vast systems of stars, gas, dust, and dark matter. Studying how they are built and how they move reveals the history of the whole universe.

1. Types of galaxies

Galaxies come in three broad kinds: spirals with a disk and arms like our own; ellipticals, smooth round balls of mostly old stars; and irregulars with no clear shape. Some galaxies have blazing centres powered by supermassive black holes; the most extreme are quasars.

2. Hubble’s law

In the 1920s it was found that a galaxy’s recession speed is proportional to its distance:

Hubble’s law v = H0 × d
  v in km/s, d in megaparsecs (Mpc), H0 in km/s per Mpc
So H0 = v / d, and the more distant a galaxy, the faster it recedes.

The recession is measured from the redshift of the galaxy’s spectral lines. The relation is not because we are at a special centre; space itself is expanding, carrying the galaxies apart.

3. The age of the universe

Running the expansion backward, all galaxies were together at one moment. The time since then is roughly the inverse of the Hubble constant:

Hubble time age ≈ 1 / H0 ≈ 978 / H0 billion years
  (with H0 in km/s per Mpc)
For H0 ≈ 70, the age is about 14 billion years.

4. The expanding universe

This expansion began in the hot, dense Big Bang about 13.8 billion years ago, whose afterglow we still detect as the cosmic microwave background. The universe also contains dark matter and dark energy, which together shape its expansion and fate.

Apparatus

Studying galaxies uses tools for imaging shapes and measuring redshifts. In the simulation these are modelled, but the readings match what each instrument would give.

Spiral galaxy
A galaxy with a central bulge and a flat disk wound into spiral arms.
Elliptical galaxy
A smooth, round or oval galaxy of mostly old stars.
Irregular galaxy
A galaxy with no regular shape, often rich in gas and new stars.
Quasar
The brilliant core of an active galaxy powered by a supermassive black hole.
Redshift spectrum
A galaxy’s spectral lines shifted toward the red, revealing its recession speed.
Hubble diagram
A plot of recession velocity against distance whose slope is the Hubble constant.

Instructions

Work through both tabs. Calculate first by hand, then press the button to compare.

Part A — Hubble’s law and the age of the universe

Part B — Classify galaxies

Simulation

Cosmology BenchCalculate first, then check against the simulation.

Team Questions

1. Hubble’s law says a galaxy’s recession speed is proportional to its:
2. A galaxy’s recession is measured from the:
3. The age of the universe is estimated from H0 as roughly:

Example Report

Worked example: the Hubble constant and the age of the universe

A galaxy recedes at v = 7000 km/s at a distance d = 100 Mpc.

H0 = v / d = 7000 / 100 = 70 km/s per Mpc.

The implied age is 978 / H0 = 978 / 70 ≈ 14 billion years, close to the accepted 13.8 billion years. Measuring the slope of the velocity-distance relation and inverting it is the calculate-then-compare core of the lab.

Practice Questions

1. A galaxy at 200 Mpc recedes at 14,000 km/s. The Hubble constant is:
2. A smooth, round galaxy of mostly old stars is classified as:
3. The expansion of the universe means that galaxies are: