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06 Numbers and Powers

Betelgeuse Distance & Supernova Earth Impact

Card No. 06·15366 · Updated · Standard formula, shown below

Total supernova energy 999,999,999,999,999,993,220,948,674,361,627,976,461,708,441,944,064.00 erg
Energy flux at Earth
293,893,967.6594 erg/cm²
Result
Equivalent radiation dose
0.000294 Sv
Result
Distance to Betelgeuse
550 light-years
You entered
You enter
Distance to Betelgeuse, Betelgeuse mass (solar masses)
You get
Total supernova energy, Energy flux at Earth, Equivalent radiation dose
Rounding
2 dp · 4 dp · 6 dp

Betelgeuse is roughly 500 to 600 light-years from Earth, and when it explodes as a supernova, it will be a spectacular sight but will not harm life on our planet. The exact distance remains uncertain, but even the closest estimates place it far enough away that its radiation and blast wave pose no direct threat to Earth. In this article, you’ll learn how astronomers measure that distance, what happens during a supernova, and why our planet is safe.

Formula

The calculator estimates the energy output of a Betelgeuse supernova and how much of that energy would reach Earth. The total energy released in a core-collapse supernova is typically around 1051 erg (1044 joules), scaled linearly with the star’s mass. The energy flux at Earth is that total energy spread over a sphere with radius equal to the distance to the star:

E_total = 1051 × (M / 15) erg

F = E_total / (4Ï€d2)

where M is the star’s mass in solar masses, d is the distance in light-years (converted to cm using 1 light-year = 9.461×1017 cm), and F is the energy flux in erg/cm². The equivalent radiation dose is a rough conversion using 1 erg/cm² ≈ 10-12 sieverts, which is a very crude approximation for illustration only.

Worked Example

Using the default values: distance = 550 light-years, mass = 15 solar masses.

  1. Total energy: 1051 × (15/15) = 1051 erg.
  2. Convert distance to cm: 550 × 9.461×1017 = 5.20355×1020 cm.
  3. Sphere area: 4π × (5.20355×1020)² ≈ 3.40×1042 cm².
  4. Flux: 1051 / 3.40×1042 ≈ 2.94×108 erg/cm².
  5. Equivalent dose: 2.94×108 × 10-12 ≈ 2.94×10-4 Sv (about 0.3 mSv).

The calculator shows ~2.94×108 erg/cm² and ~0.000294 Sv, which is less than a typical chest X-ray (about 0.1 mSv) and far below any harmful level.

How Far Away Is Betelgeuse?

Betelgeuse is a red supergiant star in the constellation Orion, marking the hunter’s left shoulder. Its distance has been measured using several methods, and the results vary:

  • Parallax: The European Space Agency’s Hipparcos satellite gave about 430 light-years, while the newer Gaia mission suggests a range of 500–600 light-years.
  • Pulsation method: By observing how the star’s brightness changes and relating that to its physical size, astronomers estimate 550–650 light-years.
  • Radio interferometry: Very Long Baseline Interferometry measurements from 2017 gave 548 light-years, with an uncertainty of about 30 light-years.

The most recent consensus places Betelgeuse at roughly 550 light-years, but the exact number is still debated. The uncertainty matters because the closer the star, the brighter it will appear in our sky when it explodes.

What Happens When Betelgeuse Goes Supernova?

Betelgeuse is a core-collapse supernova candidate. When its core runs out of fusible elements, it collapses under gravity, triggering a shockwave that blows the star apart. The explosion releases an enormous burst of energy, including:

  • Neutrinos: Billions of neutrinos are emitted, but they interact so weakly with matter that they pass through Earth harmlessly.
  • Electromagnetic radiation: Gamma rays, X-rays, ultraviolet, visible light, and radio waves all arrive at Earth.
  • Cosmic rays: Charged particles accelerated by the shockwave, which can take thousands of years to reach us.

The visible light from the supernova would be incredibly bright—possibly as bright as the full moon—and would be visible in the daytime for weeks or months. But the brightness alone does not mean danger.

Could the Supernova Affect Earth?

For a supernova to cause significant harm to Earth, it would need to be within about 50 light-years. Betelgeuse is at least 10 times farther away. The main threats from a nearby supernova are:

  • Gamma-ray burst: If the supernova produced a focused jet of gamma rays aimed at Earth, it could damage the ozone layer. But Betelgeuse’s rotation is slow, and no such jet is expected; even if one occurred, the chance of it pointing directly at us is tiny.
  • Cosmic rays: Over millennia, cosmic rays could increase cloud cover and affect climate, but the intensity at 550 light-years would be negligible.
  • Radiation dose: As shown in the calculator, the energy flux is millions of times lower than the level needed to cause biological effects.

In short, the supernova would be a stunning astronomical event, but it would not trigger mass extinction, damage the ozone layer, or cause any measurable harm to life on Earth.

When Will It Happen?

Betelgeuse is in the final stage of its life, but “soon� in astronomical terms means within the next 100,000 years—possibly tomorrow, possibly far in the future. In 2019–2020, the star dimmed dramatically, leading to speculation that it might explode. However, astronomers later determined that the dimming was caused by a dust cloud ejected from the star’s surface, not an imminent supernova. The star has since returned to normal brightness.

When it does explode, the supernova will be visible from Earth for months. It will appear as a brilliant point of light, possibly rivaling Venus, and will be visible in the daytime sky. The event will provide an unprecedented opportunity for astronomers to study a supernova up close.

Common Misconceptions

Several myths about Betelgeuse’s supernova circulate online:

  • “It will destroy Earth.â€� False—the distance is too great for any direct physical damage.
  • “It will happen any day now.â€� While possible, the probability is extremely low; it could be tens of thousands of years away.
  • “We’ll be hit by a gamma-ray burst.â€� Betelgeuse is not expected to produce a gamma-ray burst, and even if it did, the beam would need to be aimed precisely at Earth.
  • “The supernova will outshine the Sun.â€� It will be very bright, but not as bright as the Sun in our sky; it will be roughly comparable to a full moon.

Frequently Asked Questions

How do astronomers know Betelgeuse is about to explode?

They don’t know for certain. Betelgeuse is a red supergiant, which means it has already exhausted the hydrogen in its core and is burning heavier elements. This stage is short-lived, but it can last hundreds of thousands of years. The dimming event in 2019 was a reminder that the star is unstable, but it does not mean an explosion is imminent.

Will the supernova be visible during the day?

Yes, it will likely be visible in the daytime for several weeks or months. The supernova could reach an apparent magnitude of about -12, which is comparable to the full moon (-12.7). That’s bright enough to be seen in daylight if you know where to look.

Could the supernova affect Earth’s climate?

No. The energy reaching Earth would be too small to affect climate. Even the cosmic rays, which might have a slight effect over thousands of years, would be far too diluted at this distance.

What would happen if Betelgeuse were 50 light-years away instead?

At 50 light-years, a supernova could strip some of the ozone layer, leading to increased UV radiation at the surface. That could cause crop failures and skin cancer, but not a mass extinction. At 550 light-years, the effect is negligible.

Is there any way to predict the exact date?

No. Astronomers can only say that Betelgeuse is in its final life stage, but the timing of a core-collapse supernova is not predictable. It could happen in a thousand years or a hundred thousand years.

Related

Formula used
in d | Distance to Betelgeuse | light-years | 550 | 400 | 700
in m | Betelgeuse mass (solar masses) | M☉ | 15 | 8 | 25
out energy | Total supernova energy | erg | 1e51 * (m / 15) | 2
out flux | Energy flux at Earth | erg/cm² | energy / (4 * pi * (d * 9.461e17)^2) | 4
out dose | Equivalent radiation dose | Sv | flux * 1e-12 | 6

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.

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