All Questions
Tagged with n-body-simulations mathematics
4 questions
6
votes
3
answers
2k
views
N-body simulation still losing precision despite using arbitrary-precision arithmetic and symplectic integrator
A while ago I asked 2-body orbits expanding in nbody simulation?. One thing that I noticed was that JavaScript does not have arbitrary precision, and that I used RK4 as my integrator, while it is ...
- 6,733
3
votes
1
answer
337
views
What is a thermal distribution of eccentricities?
The abstract of the new (open access) paper in Nature A statistical solution to the chaotic, non-hierarchical three-body problem says:
The three-body problem is arguably the oldest open question in ...
- 30.7k
2
votes
1
answer
278
views
What kind of triangle is formed by three unequal masses in a circular restricted three body orbit?
This answer to Are the orbits of all triple star systems at least technically unstable? mentions:
There are known solutions to the gravitational three body problem that can be shown to be stable. ...
- 30.7k
1
vote
1
answer
205
views
Is it true that the 3 body problem can't be solved using the four basic functions, radicals, and integrals?
The two-body problem can be completely solved via two one-body problems, which only uses the four basic binary functions. However, the three-body problem cannot be solved with these functions and ...
- 6,733