Day 1 Three Body Problem

 it seems to me that it is impossible to solve the three body problem....

i thus can do it...

We will look whether come to a solution.

The Runge-kutta method is the one method 

it seems to me that there is not much info on the internet regarding

Runge-kutta method

The reason why i believe the the solution is possible because 

there exist planets which are three body systems and are doing perfectly fine.

also i believe that in the solar system planets shouldn't have elliptic orbit because planets might affect each other.

Thus leading us to an absurd path. A different path....

I might post soon post the resource i am going to use...                                                                     00.11

I Think I must study about solar systems 

I wonder how is my assumptions rigtht? 00.24

I wonder isn't there a way to study about the solar system... 00.27

I think I should Chatgpt....

Do all planets in the solar system orbit in elliptical path

ChatGPT

Yes, all planets in the solar system orbit the Sun in elliptical paths. This was first described by Johannes Kepler in his laws of planetary motion. According to Kepler's First Law, known as the Law of Ellipses, the orbit of each planet around the Sun is an ellipse with the Sun at one of the two foci.

I mean according to mordern discovery?

ChatGPT

Yes, according to modern discoveries and observations, all planets in the solar system still orbit the Sun in elliptical paths. Kepler's laws of planetary motion, which describe these elliptical orbits, are consistent with modern astronomical data and have been confirmed by centuries of observations and space missions. The elliptical nature of planetary orbits is a fundamental aspect of orbital mechanics and celestial dynamics.

Is then three body problem wrong

ChatGPT

The three-body problem is not "wrong," but it is inherently more complex than the two-body problem that Kepler's laws describe.

Kepler's laws apply to the simplified situation of a single planet orbiting the Sun, essentially a two-body problem. The three-body problem involves three celestial bodies, and it does not have a general closed-form solution. This means that while Kepler's laws describe the idealized elliptical orbits of planets around the Sun, the gravitational influence of other bodies (like other planets, moons, and the Sun itself) causes perturbations that make the actual orbits more complex.

Despite these perturbations, the overall shape of planetary orbits remains approximately elliptical. Modern numerical methods and simulations are used to model and predict the motions of celestial bodies in such multi-body systems with high precision, taking into account the gravitational influences of multiple bodies.

Recommended me a book

ChatGPT

For an in-depth understanding of orbital mechanics, celestial dynamics, and the three-body problem, I recommend:

"Orbital Mechanics for Engineering Students" by Howard D. Curtis

This book provides a comprehensive introduction to the subject, covering the fundamental concepts, Kepler's laws, the two-body and three-body problems, and practical applications. It's well-suited for both students and enthusiasts interested in space science and engineering.

ChatGPT can make mistakes. Check important.                                                 00.37