QuirkScience

How Heavy Is a Neutron Star?

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Season 1 · Posted ·

The short answer

One teaspoon of neutron star matter would weigh about a billion tons on Earth. That is more than every person alive put together. A whole neutron star typically holds about 1.4 times the Sun's mass, packed into a ball about 20 km (12 miles) across, the size of a city.

A neutron star is the collapsed core left behind when a star at least about 8 times the Sun's mass explodes as a supernova.

Where all that mass comes from

Atoms are mostly empty space. The nucleus holds more than 99.9% of an atom's mass, but it is only about 1/100,000 of the atom's width. When a giant star's core collapses, gravity squeezes that space out. Protons and electrons are crushed together into neutrons. The star ends up like one giant atomic nucleus, held together by gravity.

All the people on Earth together weigh about 390 million metric tons, so the teaspoon outweighs them by about 2.5 times. And 'a billion' is on the low side. Spread 1.4 Suns through a ball 20 to 26 km across, and a teaspoon (about 5 mL) holds roughly 1.5 to 3 billion tons.

Why you can't land on one

Gravity at the surface is over 100 billion times Earth's. Sources put it between 100 and 200 billion. Drop something from 1 m (about 3 ft) and it hits the ground at roughly 1,400 to 2,000 km per second (3 to 4.5 million mph), about a millionth of a second later.

Neutron stars also spin. The fastest known one, PSR Terzan 5ad, turns 716 times a second. Beams from its magnetic poles sweep across the sky like a lighthouse beam. Each time one crosses Earth, we see a blink. That's a pulsar.

Gold from a crash

On August 17, 2017, LIGO detected two neutron stars colliding about 130 million light years away. Telescopes then found freshly made gold and platinum in the glow. Estimates of the gold run from at least 10 Earth masses up to about 200. Some of the gold on Earth probably came from crashes like this. Collapsars and magnetar flares may make some too. Nobody knows the split yet.

Key numbers

WhatNumberSource
One teaspoon of neutron star matter, weighed on Earthabout 1 billion tonsNASA Goddard (NICER mission)
One teaspoon (about 5 mL) from the physics, for 1.4 Suns in a ball 20 to 26 km acrossroughly 1.5 to 3 billion tonsOur arithmetic from University of Maryland (M. Coleman Miller) and NASA, NICER probes the squeezability of neutron stars, 2021
All humans combinedabout 390 million metric tonsGreenspoon et al. 2023, PNAS
How many times the teaspoon outweighs all humansabout 2.5 timesOur arithmetic from Greenspoon et al. 2023, PNAS
Typical neutron star massabout 1.4 SunsUniversity of Maryland (M. Coleman Miller)
Typical neutron star widthabout 20 km (12 miles) acrossNASA Goddard (NICER mission)
Smallest star that leaves a neutron starabout 8 times the Sun's massNASA Science, Star types
Width of an atom's nucleusabout 1/100,000 of the atom's widthChandra X ray Center, Field Guide: Neutron Stars
Surface gravityover 100 billion times Earth'sOhio State University (B. Ryden, Astronomy 162)
Speed after a 1 m (about 3 ft) fallabout 1,400 to 2,000 km/s (3 to 4.5 million mph)Our arithmetic from Ohio State University (B. Ryden, Astronomy 162) and University of Illinois Physics Van
Fastest known pulsar spin716 times a secondHessels et al. 2006, Science
Gold made by the 2017 crashat least 10 Earth massesThe Conversation (Duncan Brown and Edo Berger)

What the film simplifies

For teachers

Runtime 1 minute 24 seconds · Topics: Neutron stars, Density, Gravity, Pulsars · Full script below

Ask your class

  1. All the people on Earth weigh about 390 million metric tons. A teaspoon of neutron star would weigh about a billion tons on Earth. About how many times heavier is the teaspoon?

    Answer

    About 2.5 times. A billion divided by 390 million is roughly 2.5.

  2. The particles in a collapsing star don't get heavier. So how does a neutron star get so dense?

    Answer

    Atoms are mostly empty space. The nucleus holds over 99.9% of the mass but is only about 1/100,000 of the atom's width. The collapse squeezes out the space and crushes protons and electrons into neutrons, so the same mass fits into a tiny volume.

  3. A pulsar seems to blink. Is the star switching on and off?

    Answer

    No. Beams from its magnetic poles sweep around as it spins, like a lighthouse. We see a flash each time a beam crosses Earth.

The script

Host: One teaspoon of this star would weigh a billion tons.

The Rocket: Tour stop two: a neutron star! Let's land on it!

Host: It's what's left after a giant star explodes.

Host: Its core collapses. More mass than the Sun, crushed into a ball the size of a city.

Gravity: My finest work. I crushed the atoms themselves.

Host: Atoms are mostly empty space. Here, gravity squeezes it out and crushes everything into neutrons.

Host: Packed that tight, one teaspoon outweighs every human on Earth. Combined.

The Rocket: Easy! I'll land and grab a spoonful!

Host: Bad idea. Its gravity is over a hundred billion times stronger than Earth's.

Gravity: Go on. Land. I dare you.

Host: Fall three feet there, and you'd hit the ground at millions of miles an hour.

The Rocket: Nope! Hovering!

Host: Oh, and it spins. The fastest one spins over seven hundred times a second.

Lil Sat: Why is it blinking at me?!

Host: Beams from its magnetic poles sweep past us like a lighthouse. That's a pulsar.

Host: Now the twist. Sometimes two neutron stars crash together.

Host: One crash we spotted made more gold than the mass of the whole Earth.

Host: Some of the gold on Earth probably came from crashes like this.

The Rocket: Wait. My gold chain came from a dead star?!

Host: Next stop: the speed limit nothing in the universe can break. Follow!

Sources

All sources for every film

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