39
votes
Accepted
Euler's Master's Thesis
Martin Mattmüller, in his article Leonhard Euler, seine Heimatstadt und ihre
Universität on Euler's hometown Basel, writes that this public talk (not a dissertation or written thesis), which Euler ...
- 32.6k
17
votes
Decidability of 3 body problem
In Church's thesis meets the N-body problem Warren Smith argues that unsimulable physical systems exist in Newton’s laws of gravity and motion for point masses, because an uncountably infinite number ...
- 188k
14
votes
Accepted
Decidability of 3 body problem
The paper Undecidability in $\mathbb{R}^n$: Riddled Basins,
the KAM Tori, and the Stability of the Solar System by Matthew W. Parker (Philosophy of Science 70 (April 2003), 359–382) comes close to ...
- 82.7k
9
votes
Status of the three-body problem
Although there is no solution for the general three body problem there are many related results, especially for the restricted case. Here is a study of LE's in restricted 3BP. And here is a ...
- 321
8
votes
Euler's Master's Thesis
As Franz says, it is impossible to know for definite which view the young Euler supported.
However, Newton had already disposed of the Cartesian vortex theory in the Principia which was published ...
- 5,146
1
vote
restricted three body problem equations of motion using particle distances and one angle variable
The equations of motion cannot be written as
$$ \ddot{r}_{ij} = f_{ij}(r_{12},\ldots, r_{n-1,n}, \dot{r}_{12},\ldots, \dot{r}_{n-1,n}) $$
Consider $n$ equally massive particles arranged equidistantly ...
- 54.2k
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