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Everything about Two-body problem
Motion problem in classical mechanics
In classical mechanics, the two-body problem is used to calculate and predict the motion of two massive bodies that are orbiting each other in space. The problem assumes that the two bodies are perfect spheres that never collide with one another and that all external forces are negligible compared to the force of interaction between the two bodies. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Two-body problemA 5-minute orientation
- Skim a recent paper: The Perturbed Full Two-body Problem: Application to Post-DART DidymosInfluential work since 2022
- Pick up a classic book: Keplerian EllipsesThe most-reprinted book on the subject
- Read the landmark paper: Relativistic few-body problem. I. Two-body equationsCited 206 times
- Go sideways: Kepler orbitA closely related topic
- Go sideways: Specific angular momentumA closely related topic
📖 Definitions
Noun The problem of finding the motion, relative to one another, of two objects, where the position of each affects the motion of the other.
Noun The problem of obtaining employment for two people who wish to reside near one another.
🏆 Landmark papers (most cited)
Relativistic few-body problem. I. Two-body equations
Electromagnetic Two-Body Problem
The two-body problem in geometrodynamics
Stability in the Full Two-Body Problem
Two-body problem in graphene
Bootstrapping the relativistic two-body problem
Two-Body Problem in General Relativity Theory
Two-body problem in periodic potentials
🆕 Influential since 2022
The Perturbed Full Two-body Problem: Application to Post-DART Didymos
The two-body problem: Proprioception and motor control across the metamorphic divide
Effective two-body approach to the hierarchical three-body problem: Quadrupole to 1PN
Bootstrapping the spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
Landing Simulation in the Full Two-Body Problem of Binary Asteroids
📚 Books worth reading
- 📕Keplerian EllipsesBruce Cameron Reed · 2019
Particle physics and the Schrödinger equationHarald Grosse, Andri Martin · 1997- 📕Dynamics of variable masses ..Evan Johnson · 1934
The general problem of the motion of coupled rigid bodies about a fixed pointE. Leimanis · 1965
An Introduction to Close Binary Stars (Cambridge Astrophysics)R. W. Hilditch · 2001
Scattering theory by theEnss methodPeter A. Perry · 1983
Integrable systems in celestial mechanicsDiarmuid Ó Mathúna · 2008- 📕Integrability, Quantization, and GeometryI. M. Krichever · 2021
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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