Sources
47 sources, one line each. Every fact on the site sits next to one of these; this page lists them once.
Wikipedia is used for the settled history, where its articles carry the primary citations. For results, the source is the paper. Where a figure was computed here rather than read from a source — the orbits, the Lyapunov time, the L1 distance, the ejection count — the page says so and names the file that computed it.
- Barrow-Green, Poincaré and the Three Body Problem (AMS, 1997) bookstore.ams.org
- Boekholt & Portegies Zwart (2015) arxiv.org
- Chenciner & Montgomery, Annals of Mathematics 152 (2000) arxiv.org
- Diacu, The solution of the n-body problem (1996) doi.org
- Hut & Bahcall, ApJ 268, 319 (1983) ui.adsabs.harvard.edu
- IAU Minor Planet Center, Jupiter Trojans www.minorplanetcenter.net
- Laskar & Gastineau, Existence of collisional trajectories of Mercury (Nature, 2009) www.nature.com
- Li & Liao (2017) arxiv.org
- Montgomery, The three-body problem and the shape sphere (American Mathematical Monthly, 2015) arxiv.org
- Moore, Physical Review Letters 70, 3675 (1993) doi.org
- NASA, Webb orbit webb.nasa.gov
- Newton, Principia (1687), Gutenberg www.gutenberg.org
- NIST, Newtonian constant of gravitation physics.nist.gov
- Stone & Leigh, Nature 576 (2019) www.nature.com
- Szebehely & Peters, Astronomical Journal 72, 876 (1967) ui.adsabs.harvard.edu
- Wang, The global solution of the n-body problem (Celestial Mechanics, 1991) doi.org
- Wikipedia, Alexis Clairaut en.wikipedia.org
- Wikipedia, Barycentre en.wikipedia.org
- Wikipedia, Central configuration en.wikipedia.org
- Wikipedia, Chaos theory en.wikipedia.org
- Wikipedia, Euler's three-body problem en.wikipedia.org
- Wikipedia, Gravity assist en.wikipedia.org
- Wikipedia, Henri Poincaré en.wikipedia.org
- Wikipedia, Hierarchical triple star system en.wikipedia.org
- Wikipedia, Hill sphere en.wikipedia.org
- Wikipedia, ISEE-3 / ICE en.wikipedia.org
- Wikipedia, Jacobi integral en.wikipedia.org
- Wikipedia, KAM theorem en.wikipedia.org
- Wikipedia, Kepler's laws of planetary motion en.wikipedia.org
- Wikipedia, Kozai mechanism en.wikipedia.org
- Wikipedia, KS transformation en.wikipedia.org
- Wikipedia, Lagrange point en.wikipedia.org
- Wikipedia, Lyapunov time en.wikipedia.org
- Wikipedia, n-body problem en.wikipedia.org
- Wikipedia, Newton's law of universal gravitation en.wikipedia.org
- Wikipedia, Painlevé conjecture en.wikipedia.org
- Wikipedia, Pythagorean three-body problem en.wikipedia.org
- Wikipedia, Sitnikov problem en.wikipedia.org
- Wikipedia, Smale's problems en.wikipedia.org
- Wikipedia, Stability of the Solar System en.wikipedia.org
- Wikipedia, Symplectic integrator en.wikipedia.org
- Wikipedia, Three-body problem en.wikipedia.org
- Wikipedia, Two-body problem en.wikipedia.org
- Wikipedia, Verlet integration en.wikipedia.org
- Wikipedia, Virial theorem and the Lagrange–Jacobi identity en.wikipedia.org
- Xia, Annals of Mathematics 135 (1992) doi.org
- Šuvakov & Dmitrašinović, PRL 110, 114301 (2013) arxiv.org
Further reading, for the next step up
- June Barrow-Green, Poincaré and the Three Body Problem (1997) — the history of the prize, the error and the correction, in detail.
- Florin Diacu, The solution of the n-body problem (1996) — nine pages on what 'solved' has meant to different centuries.
- Richard Montgomery, The three-body problem and the shape sphere (2015) — how the sphere works, with the mathematics kept gentle.
- Carl Murray and Stanley Dermott, Solar System Dynamics (1999) — the standard textbook for the restricted problem, Lagrange points and resonances.
- Douglas Heggie and Piet Hut, The Gravitational Million-Body Problem (2003) — where three-body scattering fits into star clusters.