Three-body problem: more than 12,000 new solutions discovered

Three-body problem
 The enigma of the three-body problem, a concept rooted in the principles of motion and gravity first outlined by Isaac Newton in 1687, continues to fascinate scientists, mathematicians, and astronomers. The problem focuses on predicting the motion of three celestial bodies, such as the Sun, Moon, and Earth, under the influence of gravitational forces, a feat that remains elusive to this day.


One such group of researchers attempting to solve this conundrum is led by Ivan Hristov from Sofia University in Bulgaria. Their work involves exploring the interplay of three celestial bodies, how they maintain a stable orbit without colliding or being thrown into space.



Exploring the Three-Body Problem: An Unending Puzzle for Scientists

The three-body problem isn't restricted to the Sun, Moon, and Earth; it encompasses any trio of objects bound by gravitational forces. A solution would allow astronomers to forecast the movements of these bodies based on their initial positions and velocities. However, introducing a third element to a two-body system significantly complicates prediction. Cutting-edge technologies like supercomputers and neural networks are aiding in the search for answers.


Unveiling Hristov's Findings

Recently, Hristov and his team have unveiled a staggering 12,409 orbital models for three-body systems complying with Newton's laws and featuring three equal masses. Despite awaiting peer-review, these findings should ignite a productive discourse within the scientific community.


As noted by Science Alert, a universal solution to the three-body problem remains undiscovered. Most systems result in unpredictable, chaotic motions. However, several solutions have emerged for specific situations when the system adheres to certain conditions; some of these are more applicable to practical astronomy than others.



Recent Solutions to The Three-Body Problem

The latest solutions to the three-body problem are related to systems where the three bodies are initially stationary before succumbing to each other's gravitational pull. These solutions, while intriguing to mathematicians, may have limited practical implications.


Louisiana State University physicist, Juhan Frank, stated to New Scientist's Matthew Sparkes that the precise initial conditions required for these solutions are unlikely to exist in nature. However, Hristov and his colleagues utilized a supercomputer to build on previous research from 2019, which discovered over 300 new families of periodic orbits for the free-falling three-body problem.


A Novel Approach from Hristov and Team

Hristov and his colleagues acknowledged that previous research left room for improvement, and they sought to address mathematical disagreements regarding the orbits of objects in free-falling systems. Unlike prior studies, their work considers three objects of equal mass, rather than random. The team believes that the free-falling orbits they have identified may yet hold astronomical significance, depending on the stability of the new solutions in the face of external influences like distant bodies or solar winds.



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