Data · dataset · 2026
The Three-Body and n-Body Problems
Listed in Borealis
This project examines the n-body problem involving three or more masses in two dimensions.
Description
It begins with deriving and numerically solving the differential equations governing the motion of the three-body problem. Following this, the chaotic nature of the system is analyzed through various demonstrations, plots, animations, and Explore windows.
A selection of special periodic solutions to the three-body problem is then presented. Next, the project applies this system to astronomy, exploring several gravitational orbits within our solar system. Finally, it generalizes to higher-order n-body systems with an example of five bodies.
Links
Where it is published
- Dataverse dataset page borealisdata.ca/dataset.xhtml?persistentId=doi%3A10.5683%2FSP4%2FDPYJXK ↗
landing page · from borealisdata ca
- DOI doi.org/10.5683/sp4/dpyjxk ↗
DOI / persistent id · from borealisdata ca
Catalogue records · 1
- Dataverse API borealisdata.ca/api/datasets/:persistentId/?persistentId=doi%3A10.5683%2FSP4%2… ↗
metadata API · from borealisdata ca
Topics
- Stated by source
- Mathematical Sciences
- From keywords
- Mathematics & Statistics
- Inferred from text
- Pure mathematics 70%
Provenance · 1 source records, 9 field assertions
| Source | Key | Last seen | Raw |
|---|---|---|---|
| Borealis | doi:10.5683/SP4/DPYJXK | 12 d ago | JSON v1 |
| Field | Assertion | Extractor | Evidence |
|---|---|---|---|
| concepts[field].anzsrc:group:4904 | enrichment · borealisdata ca | taxonomy-embedding@1.1.0 | title+keywords+description (70%) |
| concepts[field].dataverse_subject:mathematical-sciences | source · borealisdata ca | connector:borealisdata_ca@1.0.0 | /subjects |
| concepts[field].local:field:mathematics-statistics | mapping · borealisdata ca | connector:borealisdata_ca@1.0.0 | /subjects |
| created_date | source · borealisdata ca | connector:borealisdata_ca@1.0.0 | |
| description | source · borealisdata ca | connector:borealisdata_ca@1.0.0 | /description |
| publication_date | source · borealisdata ca | connector:borealisdata_ca@1.0.0 | |
| title | source · borealisdata ca | connector:borealisdata_ca@1.0.0 | /name |
| updated_date | source · borealisdata ca | connector:borealisdata_ca@1.0.0 | |
| version_label | source · borealisdata ca | connector:borealisdata_ca@1.0.0 |