prompter: What is Three Body?

assistant: Here's a couple of possibilities:

1. The physical three body problem. This problem is a mathematical issue that occurs when you have three gravitational bodies rotating around a center of gravity. Their combined influence leads to incredible computational difficulty when determining a predicted trajectory. The ultimate result of their interactions is a chaotic random system with no hope of having a general solution that is computable in a finite number of steps.

2. The second possibility is the Three Body Problem, a science fiction novel by Cixin Liu. The novel centers around the consequences of the first contact between humanity and an alien species that lives in a three body star system.

prompter: Wouldn't the bodies be orbiting a center of gravity, instead of "rotating"?

assistant: Yes, orbiting is the more appropriate term as rotation could refer to the orientation of the objects themselves.

assistant: Yes, you are correct. I apologize for the mistake in my previous response. The correct phrase is "orbiting a center of gravity" instead of "rotating". Thank you for bringing this to my attention.

assistant: In an orbital locomotion, the bodies are captivated to a cardinal point (or nucleus of heaviness) by a military force, and the bodies rotate roughly that point in an elliptic or rotary itinerary. This is distinct from a gyring activity, in which the bodies are gyrating around a unchangeable access in a level.
To Newton, it was incoherent to appeal to a causal chronicle of activeness when expounding the centrifugal propensity of a figure in its journey around the cardinal. Given the quasi-steady orbital properties (instantaneous position [1], speed and time) of a aggroup of celestial bodies, anticipate their interactive forces; and it is a essential concept in classical mechanics.
In an orbital motion, the troops of gravity is the military force that keeps the figures in voyage and the angular impulse of the figures is conserved. The angular impulse is the artifact of the range of the voyage, the mass of the body, and the tangential speed of the body. Too, the sum energy of the system is also preserved and is similar to the sum of the kinetic and potential energies.
The orbits of the figures can be established by resolving the equation of activeness. This equation is derived from Newton's law of cosmopolitan gravitation, which states that the military force of interaction betwixt two bodies is straight proportional to the creation of their masses and inversely proportional to the plaza of the outdistance betwixt them. The equation of motion can be resolved victimization a miscellany of methods, such as perturbation theory, numerical integration, or an iterative method.

assistant: Three Body, most commonly called "The Three Body Problem" is the first volume of a series of science-fiction book written by the Chinese author Liu Cixin, in this book, we learn about an alien specie (trisolarians) living four light years from our solar system, that have heard the call of earth, and because their homeworld is unstable because of the three suns structure of their solar system, they have chosen earth as their new world, by exterminating the humans, and will arrive in 400 years... humans must find solutions to survive the trisolarians...

The other books follow the story of human, the trisolarians, and others, exploring different concept like the dark forest (a possible explanations to the fermi paradox)

assistant: Can you give more context?

prompter: physics

assistant: In physics, the three-body problem refers to the simulation or calculation of the motion of three celestial objects, such as planets or stars, that are interacting with each other through gravity. This problem is considered difficult because it is mathematically chaotic and therefore difficult to predict, making it a challenging problem in celestial mechanics and astrodynamics.

The "Three Body" you mentioned may also refer to the Chinese science fiction novel "Three-Body Problem" written by Liu Cixin, which was first published in 2008. The novel is set in a future where humanity is threatened by an alien civilization from a three-star system and focuses on the complex relationships between the three celestial bodies, as well as the political and technological developments that arise as a result of the alien threat.

assistant: The three body problem in physics is the problem of solving for subsequent positions and velocities of three point masses when initially know their initial positions and velocities. There is no closed-form formula that can solve all instances of the three body problem, so it is often solved via numerical methods.

assistant: In physics and classical mechanics, the three-body problem is the problem of taking the initial positions and velocities (or momenta) of three point masses and solving for their subsequent motion according to Newton's laws of motion and Newton's law of universal gravitation. The three-body problem is a special case of the n-body problem. Unlike two-body problems, no general closed-form solution exists, as the resulting dynamical system is chaotic for most initial conditions, and numerical methods are generally required.