some summary from business insider
https://www.businessinsider.com/why-thr ... tal%20path.
While Netflix's "3 Body Problem" is a science-fiction show, its name comes from a real math problem that's puzzled scientists since the late 1600s.
In physics, the three-body problem refers to the motion of three bodies trapped in each other's gravitational grip — like a three-star system.
It might sound simple enough, but once you dig into the mathematics, the orbital paths of each object get complicated very quickly.
Two-body vs. three- and multi-body systems
An artist's impression shows the solar system seen from the Earth
Our solar system is a multi-body system, with multiple planets, moons, asteroids, and comets circling around a single star. adventtr/Getty Images
A simpler version is a two-body system like binary stars. Two-body systems have periodic orbits, meaning they are mathematically predictable because they follow the same trajectory over and over. So, if you have the stars' initial positions and velocities, you can calculate where they've been or will be in space far into the past and future.
However, "throwing in a third body that's close enough to interact leads to chaos," Shane Ross, an aerospace and ocean engineering professor at Virginia Tech, told Business Insider. In fact, it's nearly impossible to precisely predict the orbital paths of any system with three bodies or more.
While two orbiting planets might look like a ven diagram with ovular paths overlapping, the paths of three bodies interacting often resemble tangled spaghetti. Their trajectories usually aren't as stable as systems with only two bodies.
All that uncertainty makes what's known as the three-body problem largely unsolvable, Ross said. But there are certain exceptions.
The three-body problem is over 300 years old
The three-body problem dates back to Isaac Newton, who published his "Principia" in 1687.
In the book, the mathematician noted that the planets move in elliptical orbits around the sun. Yet the gravitational pull from Jupiter seemed to affect Saturn's orbital path.
Even if it's possible to conceive, no answer can make sense. Makes a great koan, though.
