3 ms·
Ah, that is interesting. I figure Numerical ODE solvers might be faster. But there is philosophical value in a series that is proven to converge for any time t.
by rocqua 8y ago
Ah, that is interesting. I figure Numerical ODE solvers might be faster. But there is philosophical value in a series that is proven to converge for any time t. Do you happen to recall whether it is uniform convergence?
- privong 8y agoI don't have more than a cursory knowledge of the solution, but the Three-body problem wikipedia page should have enough info to get you set in the right direction: https://en.wikipedia.org/wiki/Three-body_problem#Sundman's_theorem https://en.wikipedia.org/wiki/Three-body_problem#Sundman's_t... It says that the series should converge for all t, except for systems which begin with zero angular momentum. It additionally states that: > in 1930, David Beloriszky calculated that if Sundman’s series were to be used for astronomical observations, then the computations would involve at least 10^8000000 terms