Erg to Megatons of TNT

Astrophysics literature built decades of reference data in CGS units before SI became dominant. Key constants like solar luminosity (3.828 × 10³³ erg/s) and supernova energy (10⁵¹ erg, called a "foe") are baked into textbooks and databases. Switching to SI would require rewriting thousands of reference values, so the field maintains CGS by convention.

A core-collapse supernova releases roughly 3 × 10⁵³ ergs total, of which about 99% escapes as neutrinos. The visible light and kinetic energy of the ejected shell account for about 10⁵¹ ergs — a unit so common in astrophysics it has its own name: one "foe" (ten to the Fifty-One Ergs). In joules, that is 10⁴⁴ J, or the Sun's total output over 10 billion years.

An erg per second is the CGS unit of power, equivalent to 10⁻⁷ watts. Astronomers quote stellar luminosities in ergs per second because the numbers align well with astrophysical scales: the Sun emits 3.846 × 10³³ erg/s, and supernovae peak at ~10⁴³ erg/s. Using watts would give the same exponents minus seven — less tidy for a field that already juggles 40-digit numbers daily.

CGS (centimeter-gram-second) is a metric system that predates SI, formalised in the 1870s. It derives mechanical units from cm, g, and s: force in dynes (g·cm/s²) and energy in ergs (dyne·cm). CGS was standard in physics until the mid-20th century, and its Gaussian variant remains preferred in electromagnetism and astrophysics because Maxwell's equations take a simpler form.

One erg is 10⁻⁷ joules — roughly the kinetic energy of a mosquito in flight or the energy of a single grain of sand falling one centimeter. You would need about 10 million ergs to equal one joule, or 42 billion ergs to match the energy in a single dietary Calorie. The erg is useful precisely because atomic and astronomical quantities span so many orders of magnitude.

One megaton equals 4.184 × 10¹⁵ joules — the energy of burning about 120 million liters of petrol or the total electricity output of a large power plant running for 50 days. A 1-megaton airburst would flatten reinforced concrete buildings within 2 km, cause third-degree burns at 10 km, and break windows at 40+ km. It is roughly 67 times the Hiroshima bomb.

The Soviet AN602 "Tsar Bomba," detonated on 30 October 1961, yielded approximately 50 megatons — the largest human-made explosion in history. It was a three-stage thermonuclear device originally designed for 100 Mt but scaled down by replacing the uranium tamper with lead to reduce fallout. The fireball was 8 km wide, and the mushroom cloud rose 67 km. It was a propaganda weapon with no practical military use.

Modern strategic warheads are smaller than Cold War designs because accuracy improved. The US W88 yields about 0.475 Mt; the W76-1 about 0.1 Mt. Russian RS-28 Sarmat MIRVs carry warheads estimated at 0.5–0.8 Mt each. Military planners found that several smaller warheads (MIRVs) destroy more area than one large one due to the cube-root scaling of blast radius with yield.

The Chicxulub impact that ended the dinosaurs released roughly 100 million megatons (10²³ J). The Tunguska event (1908) was 3–15 megatons. NASA's planetary defense threshold is objects capable of 1+ megatons of damage. A 50-meter iron asteroid striking Earth at 20 km/s would release about 10 megatons — enough to obliterate a major city.

Accuracy replaced raw yield. A 0.5 Mt warhead landing within 100 meters of a target destroys it just as effectively as a 10 Mt warhead landing 1 km away. MIRVed missiles carrying 6–10 smaller warheads also cover more total area than one massive bomb. The US retired its last megaton-class warhead (the B83) in 2022, relying entirely on sub-megaton weapons.