3 Body problem: not chaotic? – Astrophysicist finds “Inseln der Ordnung” in a chaotic problem

Discussion of the threshold problem: the interaction between the companies can be chaotic and statistical. This is an attack: it is an ‘inseln der ordnung’ and part of the story in ‘3 Body Problem’, with now an astrophysical simulation enthüllen. In run 37, the result of the fall results in a group of players in one of the bases of the starting situation leaving a message for the last time, with the message of the team. Was it important for astrophysics?

The big problem is the Netflix series ‘3 Body Problem’ and Cixin Liu’s successful ‘Trisolaris’ book fell on a hoax. If you have a physical problem, the problem is that Johannes Kepler and Issac Newton Kopfzerbrechen achieved. When one of the many other forscher festivities takes place, the best interaction between gravity and the sky is not put into an orderly schedule – it is chaotic.

Das Problem der Dreier-interaction

“The three-dimensional problem is one of the complex problems of mathematics and theoretical physics”, written by Erstautor Alessandro Trani of the University of Copenhagen. “The theory says that the object of the problem is chaotic – an arrangement and an undoing of the external constraints.” about the Wahrscheinlichkeiten.

There is a system here – beispelsweise von three etwa gleichschweren Sternen – two other options can be found, which can be understood by Trani and seine Kollegen. In the fall you interact with all three objects and some others in its standard changing Bahnen. I have an image of one of the best hierarchies of some of the most successful partners, partnering in a white, eccentric Orbit swing. This Zustand is no longer stable and is intertwined with the Zustand or with the Ausschleudern des RITen Sterns. If you want to lose your passion, you won’t get into a schedule – so jedenfalls thought man would be better.

Millions of Variants simulated

But Trani and his team are now overloaded: it is a violation, but order in the chaos of risk problems. Herausgefunden have died, as the Stories of three Körpern in a speziell entwickelten Computer program nachvollzogen. The starting point was two and another in the length of 15 astronomically a number of stars, a dritter, a fang of 100 a number of stars that Stern stößt. In Millions of Simulations, the astrophysical stores, pace, and mass of the three objects vary.

The result of those millions of dollars is a graphic artist, in the color of the different sales of the three markets and the time point of the foreign partners of wider mirrors. “If the problem is chaotic, this graphic should be a chaotic error that occurred. This is not autumn.

Es gibt Inseln der Vorhersagbarkeit

Stattdessen say that four great sons are a heitlicher farbung – Ausgangsbedingungen, die een voorhersagbaren Ende führen. “Unser millions of simulations demonstrate, that there is luck in chaos – the rules of the position, the shop and the behavior of the three objects when they are taken care of,” Trani reports. “In the Inseln im Meer des Chaos, the system is transformed and the result is gleichen Endresults – since these Inseln in the Grafik are an einheitliche Farbe.”

While most cases of the insel start from the previous phase, we go straight to the base of one of the three stars that have been put out of action – the system will not first complete the chaotic Dreier-Wechselwirkung, while the astrophysical scientist is busy. Once dropped, the three steps move to stable orbits. In the case of Schnitt, the powers of the “Inseln der Ordnung” are running 37 Prozent all untersuchten Kombinationen von Ausgangsvariablen aus. The simulation is very useful, while the previous representation is performed with the mass of the three largest movements.

Fractal Muster in Chaos

There is only one thing left to do: you can call the astrophysical astrophysicist part of the puzzle problem. When you zoom back into the chaotic view of the simulations, this is kind of a regular effort. It is important that you keep an eye on the cavity as you zoom in further. If you are during the term of the company clause, if you want to see a winwin abnormal situation, or if you have gone through the Dreier systems as quickly as possible, the team has created a message.

“The natural structure of the natural structure for zooming in is a manifestation of nature causing chaos,” wrote Trani and seine Kollegen. If you see the multifractal problem of your problem, the Zoom function changes and the region that provides an undamaged fragment of the dimensions.

Auswirkungen voor astrophysical…

Was there a problem solving problem in astronomy? After examining the features of the entire world, if the statistical methods of the previous astrophysical systems are applied, it is a drop of the fall – the insel of the ordnung – never hereditary. “That is the result of the statistical analysis and the potential for future developments,” said Trani.

A concrete Beispiel sees the Astrophysiker in the Verschmelzung stars of Schwarzer Löcher. These grafts are mostly from Doppelstern systems, both are Explosive Partners in Supernovae and zu Schwarzen Löchern have since become. Was this with Dreifachsternsystemen? Writing an assignment in the power of a single solution will pose a problem – and then the fragmentation, the triple object chaotic or rather interacting, will be relevant.

…and Gravitationswellen-Astronomy

“Schwarze-Loch-Paare, which is a result of a continuous interaction, has significant changes as a result of the chaotic interactions, which lead to higher levels of interaction,” Trani explains and the columns. Due to the chaotic system, the problem problems are solved by the merging effects of a few pairs using the three-way interaction.

“If the Three Interaktionen verstehen, it is that of the Schlüssel zum Verstandnis von Phänomen wie Gravitationswellen, der Gravitation itself and probably other groundlegenden Geheimnissen des Universe”, says Trani. (Astronomy and Astrophysics, 2024; doi: 10.1051/0004-6361/202449862)

Quelle: Astronomy and Astrophysics, University of Copenhagen

14. October 2024 – Nadja Podbregar