QuirkScience

What If the Sun Disappeared?

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Season 1: Earth Has an Expiry Date · Posted ·

The short answer

For about 8 minutes and 20 seconds, nothing would change. The Sun's last light would still be on its way, and Earth would keep circling the empty spot, because changes in gravity also travel at the speed of light. Then the sky would go dark and Earth would carry on in a straight line at about 107,000 km/h (67,000 mph).

The Sun can't really vanish. It has about 5 billion years of fuel left.

How we know gravity is that fast

On 17 August 2017, two neutron stars collided about 130 million light years away. Their ripple in gravity reached Earth, and a flash of gamma rays arrived 1.7 seconds later. After a trip of 130 million years, that gap is tiny. It shows that gravity and light travel at the same speed, to about 15 decimal places.

The gap doesn't mean gravity is faster. Most of it was the explosion taking a moment to launch its flash.

Our theory of gravity can't describe mass simply vanishing, because mass and energy can't just disappear. So physicists picture the Sun's mass flying outward at light speed instead. Earth feels no change until that shell passes it, about 8 minutes 20 seconds later.

What goes dark, and what doesn't

The Moon only reflects sunlight, so it goes dark 1 to 3 seconds after the Sun. Counting from the moment the Sun vanishes, Venus goes out after about 12 minutes, Jupiter after about an hour and a quarter, and Saturn after about two and a half hours. The stars stay on, because they make their own light.

Earth doesn't shoot away. It keeps its speed and drifts. After a week it's only 0.7% farther from the empty spot. After about 10 months it's as far out as Jupiter's orbit. The Moon comes along, still circling.

Ice on top, life underneath

Within days to a week, the surface would drop below the freezing point of salt water, about minus 2 °C (28 °F), and the oceans would start to ice over. In a year or so it would be about minus 73 °C (minus 100 °F).

The ice works like a lid. Heat from Earth's interior, about 47 terawatts, keeps the water under it liquid. Caltech's David Stevenson put the deepest water freezing after about 1,000 years. It does freeze in the end: a 2011 study found that a planet with no star needs about 3.5 times Earth's mass to keep an ocean under its ice.

At the hot vents, food chains run on chemicals from hot rock. But tube worms and most vent microbes breathe oxygen, and that oxygen was made by sunlit plankton and plants. The life that truly needs no Sun is microbes that need no oxygen either, such as methane making archaea.

Key numbers

WhatNumberSource
Time for sunlight to reach Earthabout 8 minutes 20 secondsNASA, Voyager 1: What Is a Light Day?
Range of that time over a year8 min 11 s (January) to 8 min 27 s (July)Our arithmetic from NASA, Earth Fact Sheet
Distance to the 2017 neutron star collisionabout 130 million light yearsNASA, first light from a gravitational wave event, 2017
Gap between the gravity ripple and the gamma ray flash1.74 s, give or take 0.05 sLIGO, Virgo, Fermi and INTEGRAL, 2017
Earth's average orbital speed29.78 km/s, about 107,000 km/h (67,000 mph)NASA, Earth Fact Sheet
Moon goes dark after the Sun1 to 3 secondsOur arithmetic from NASA, Moon Fact Sheet
Jupiter goes dark, seen at nightabout 1 h 15 min to 1 h 25 min after the Sun vanishesOur arithmetic from NASA, Planetary Fact Sheets
Surface drops below the freezing point of salt waterwithin days to a weekDavid Stevenson, Caltech, 1999
Surface temperature after a year or soabout minus 73 °C (minus 100 °F), 200 KDavid Stevenson, Caltech, 1999
Deepest ocean water freezesafter about 1,000 yearsDavid Stevenson, Caltech, 1999
Heat flowing out of Earth's interior47 TW, give or take 2 TWDavies and Davies, 2010
Time the Sun has leftabout 5 billion yearsNASA, Sun Facts

What the film simplifies

At a glance

Runtime 1 minute 2 seconds · Topics: Speed of gravity, Gravitational waves, Earth's orbit, Life without sunlight · Captions on YouTube · Full script below

Test yourself

  1. If the Sun vanished, why would Earth keep orbiting the empty spot for about 8 minutes?

    Answer

    Changes in gravity travel at the speed of light, like the Sun's last light. Earth only feels the change when that news arrives, about 8 minutes 20 seconds later.

  2. Why would the Moon and planets go dark but the stars stay on?

    Answer

    The Moon and planets only reflect sunlight. Stars make their own light.

  3. Why would the deep ocean stay liquid under the ice for a time, and would it last forever?

    Answer

    The ice acts like a lid and heat from Earth's interior warms the water from below. It wouldn't last: Stevenson estimates the deepest water freezes after about 1,000 years.

The script

Host: The Sun just vanished. And for eight minutes, nobody will notice.

Rocket: I noticed! Bye bye, show off!

Host: Its last light is still on the way.

Host: And gravity travels just as fast, so Earth keeps circling nothing.

Host: In 2017, two dead stars crashed.

Host: Their gravity ripple and their flash raced for 130 million years and arrived less than two seconds apart.

Rocket: Photo finish!

Host: At eight minutes twenty, lights out. And Earth heads off in a straight line at 67,000 miles an hour.

Rocket: Now I'm the brightest thing in the solar system!

Host: But the stars stay on.

Rocket: Brightest thing nearby.

Host: Within a week, it's below freezing. In a year, a hundred degrees below zero.

Rocket: I meant to do that.

Host: But ice is a blanket. Under it, the deep sea stays liquid for at least a thousand years.

Host: And at the hot vents on the sea floor, some microbes don't need the Sun at all.

Host: Good thing the Sun can't really vanish.

Rocket: Show off.

Sources

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