The energy stored in an object's rotation, which can be released to power explosions like gamma-ray bursts.Rotational energy is the kinetic energy stored in an object's spinning motion. For a rigid body, it depends on the moment of inertia and the square of the angular velocity. In astrophysics, rotational energy is a major reservoir of power: a rapidly spinning neutron star, for example, can hold enormous rotational energy that, when tapped, drives phenomena like pulsar winds and gamma-ray bursts. The concept also applies to fluid systems, where rotating flows carry energy that can be converted into other forms.
The formula for rotational kinetic energy was established in the 18th century by Leonhard Euler, who formalized the mechanics of rotating bodies. The idea that stellar rotation could power explosions gained traction in the 20th century with the discovery of pulsars and gamma-ray bursts.
For a solid object, rotational energy is calculated as (1/2) I ω², where I is the moment of inertia and ω is the angular velocity. When an object slows down, this energy is released — often as radiation, particles, or heat. In astrophysical contexts, a spinning black hole or neutron star can lose rotational energy through magnetic fields or gravitational waves, powering some of the most energetic explosions in the universe. The mechanism is analogous to a flywheel: spin it up, and it stores energy; brake it, and the energy comes out.
Rotational energy is harnessed in flywheel energy storage systems, which store electricity as spinning kinetic energy and release it on demand, and in gyroscopes used for navigation and stabilization.
A neutron star the size of a city can spin hundreds of times per second, storing more rotational energy than the Sun emits in its entire lifetime.








