The Ken Theory Team (Lead: Ken Nakashima) has analyzed observational data from NASA’s asteroid‑impact experiment, the DART mission, and proposed a new physical relationship—the Gravitational Relaxation Law (GRL)—that offers a fresh perspective on how celestial impacts should be understood.
This work moves beyond conventional models that treat asteroid impacts as merely “instantaneous shocks.” Instead, it introduces a new theoretical framework that focuses on the gradual internal redistribution of energy that unfolds within a celestial body after the impact.
What Exactly Is DART?
In 2022, NASA carried out a mission called the Double Asteroid Redirection Test (DART).
In this experiment, a small spacecraft was intentionally crashed into the asteroid Dimorphos to measure how much its orbit would change.
As a result, the asteroid’s orbital period was shortened by approximately 33 minutes.
This marked the first time in human history that the orbit of an asteroid was artificially altered.
❓ But One Question Remained
Although the DART mission was a success, the observed orbital change contained a subtle discrepancy that existing models could not fully explain.
Up to now, asteroid impacts have been treated as instantaneous transfers of momentum.
However, this approach does not sufficiently account for the structural changes that occur inside the asteroid after the impact.
🪨 Asteroids Are More Like “Piles of Sand”
Many asteroids are not solid rocks but rather loose aggregates of rubble.
The technical term is:
Rubble‑pile asteroid.
This means that when an impact occurs, the asteroid’s interior undergoes:
-
particle rearrangement
-
compression of voids
-
readjustment of gravitational balance
These processes may require time to fully unfold.
The Gravitational Relaxation Law (GRL)
The Ken Theory Team has formulated this phenomenon as the Gravitational Relaxation Law (GRL).
According to this law, the characteristic timescale of the internal response after an impact is given by:
where:
-
is the gravitational constant
-
is the density of the asteroid
This expression coincides with the fundamental dynamical timescale of a self‑gravitating body.
In other words:
after an impact, an asteroid re‑equilibrates on a timescale determined by its own gravity.
🚀 A New Theoretical Framework: Constitutive Astrodynamics
In this study, asteroid impacts are interpreted through the framework of Constitutive Astrodynamics.
Put simply, this approach treats an asteroid as a physical medium that exhibits an internal response, rather than as a rigid object that reacts instantaneously.
The sequence of an impact can be understood as:
Impact energy
↓
Excitation of internal structure
↓
Gravitational relaxation
↓
Orbital modification
Thus:
the orbital change is not an instantaneous event, but the outcome of the time‑evolving internal structure.
Why This Matters
This theory has the potential to influence three major areas:
🛡️ 1. Planetary Defense
By improving the accuracy of impact‑induced orbital predictions, it may contribute to the design of future asteroid‑trajectory‑control missions.
🪨 2. Understanding Asteroid Internal Structure
Small orbital deviations, when measured precisely, could allow us to infer the internal density and structural properties of asteroids.
🌌 3. A New Probe for Gravitational Physics
Impact experiments may become a new method for investigating the dynamics of gravity‑bound structures, providing observational access to processes that were previously theoretical.
👥 About the Ken Theory Team
The Ken Theory Team is an independent research project that prioritizes observational data and mathematical consistency.
By leveraging AI‑based mathematical analysis, the team performs rapid validation of physical models.
To date, more than 200 research notes and technical documents have been published.
📘 英訳案：用語ミニ解説
Glossary
DART Mission
NASA’s 2022 asteroid‑impact experiment.
Rubble‑pile asteroid
An asteroid composed of loosely bound aggregates of rock and debris.
Gravitational relaxation
The process by which a celestial body settles into a new equilibrium state under its own gravity after an external force such as an impact.
Constitutive Astrodynamics
A new approach to celestial mechanics that treats an astronomical body as a dynamic medium with internal structure capable of exhibiting time‑dependent responses.
