Table of Contents
123 relations: Alain Chenciner, Alexis Clairaut, Amerigo Vespucci, Angular momentum, Annals of Mathematics, Annals of Physics, Augustin-Louis Cauchy, Black hole, Cauchy–Kovalevskaya theorem, Celestial mechanics, Celestial Mechanics and Dynamical Astronomy, Center of mass, Central configuration, Chaos theory, Chinese Academy of Sciences, Classical mechanics, Closed-form expression, Coulomb's law, Cristopher Moore, Current Science, Differential equation, Dynamical system, Earth, Effective potential, Efimov state, Electron, Event horizon, Existence theorem, Few-body systems, Finland, Florin Diacu, Galaxy, Galaxy cluster, Galaxy formation and evolution, Galileo Galilei, General relativity, George William Hill, Gravitational constant, Gravity, Gravity assist, Hamiltonian mechanics, Harmonic oscillator, Helium, Helium atom, Henri Poincaré, Horseshoe orbit, Icarus (journal), Indiana University Mathematics Journal, Initial condition, Integrable system, ... Expand index (73 more) »
Alain Chenciner
Alain Chenciner (born 23 October 1943, in Villeneuve-sur-Lot) is a French mathematician, specializing in dynamical systems with applications to celestial mechanics.
See Three-body problem and Alain Chenciner
Alexis Clairaut
Alexis Claude Clairaut (13 May 1713 – 17 May 1765) was a French mathematician, astronomer, and geophysicist.
See Three-body problem and Alexis Clairaut
Amerigo Vespucci
Amerigo Vespucci (9 March 1451 – 22 February 1512) was an Italian explorer and navigator from the Republic of Florence, from whose name the term "America" is derived.
See Three-body problem and Amerigo Vespucci
Angular momentum
Angular momentum (sometimes called moment of momentum or rotational momentum) is the rotational analog of linear momentum.
See Three-body problem and Angular momentum
Annals of Mathematics
The Annals of Mathematics is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study.
See Three-body problem and Annals of Mathematics
Annals of Physics
Annals of Physics is a monthly peer-reviewed scientific journal covering all aspects of physics.
See Three-body problem and Annals of Physics
Augustin-Louis Cauchy
Baron Augustin-Louis Cauchy (France:, ; 21 August 1789 – 23 May 1857) was a French mathematician, engineer, and physicist.
See Three-body problem and Augustin-Louis Cauchy
Black hole
A black hole is a region of spacetime where gravity is so strong that nothing, not even light and other electromagnetic waves, is capable of possessing enough energy to escape it.
See Three-body problem and Black hole
Cauchy–Kovalevskaya theorem
In mathematics, the Cauchy–Kovalevskaya theorem (also written as the Cauchy–Kowalevski theorem) is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems.
See Three-body problem and Cauchy–Kovalevskaya theorem
Celestial mechanics
Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space. Three-body problem and Celestial mechanics are classical mechanics.
See Three-body problem and Celestial mechanics
Celestial Mechanics and Dynamical Astronomy
Celestial Mechanics and Dynamical Astronomy is a scientific journal covering the fields of astronomy and astrophysics.
See Three-body problem and Celestial Mechanics and Dynamical Astronomy
Center of mass
In physics, the center of mass of a distribution of mass in space (sometimes referred to as the barycenter or balance point) is the unique point at any given time where the weighted relative position of the distributed mass sums to zero. Three-body problem and center of mass are classical mechanics.
See Three-body problem and Center of mass
Central configuration
In celestial mechanics, a central configuration is a system of point masses with the property that each mass is pulled by the combined gravitational force of the system directly towards the center of mass, with acceleration proportional to its distance from the center. Three-body problem and central configuration are classical mechanics and orbits.
See Three-body problem and Central configuration
Chaos theory
Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. Three-body problem and Chaos theory are mathematical physics.
See Three-body problem and Chaos theory
Chinese Academy of Sciences
The Chinese Academy of Sciences (CAS) is the national academy for natural sciences and the highest consultancy for science and technology of the People's Republic of China.
See Three-body problem and Chinese Academy of Sciences
Classical mechanics
Classical mechanics is a physical theory describing the motion of objects such as projectiles, parts of machinery, spacecraft, planets, stars, and galaxies.
See Three-body problem and Classical mechanics
Closed-form expression
In mathematics, an expression is in closed form if it is formed with constants, variables and a finite set of basic functions connected by arithmetic operations (and integer powers) and function composition.
See Three-body problem and Closed-form expression
Coulomb's law
Coulomb's inverse-square law, or simply Coulomb's law, is an experimental law of physics that calculates the amount of force between two electrically charged particles at rest.
See Three-body problem and Coulomb's law
Cristopher Moore
Cristopher David Moore, known as Cris Moore, (born March 12, 1968, in New Brunswick, New Jersey), retrieved 2023-05-31.
See Three-body problem and Cristopher Moore
Current Science
Current Science is an English-language peer-reviewed multidisciplinary scientific journal.
See Three-body problem and Current Science
Differential equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.
See Three-body problem and Differential equation
Dynamical system
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space, such as in a parametric curve. Three-body problem and dynamical system are dynamical systems.
See Three-body problem and Dynamical system
Earth
Earth is the third planet from the Sun and the only astronomical object known to harbor life.
See Three-body problem and Earth
Effective potential
The effective potential (also known as effective potential energy) combines multiple, perhaps opposing, effects into a single potential.
See Three-body problem and Effective potential
Efimov state
The Efimov effect is an effect in the quantum mechanics of few-body systems predicted by the Russian theoretical physicist V. N. Efimov in 1970.
See Three-body problem and Efimov state
Electron
The electron (or in nuclear reactions) is a subatomic particle with a negative one elementary electric charge.
See Three-body problem and Electron
Event horizon
In astrophysics, an event horizon is a boundary beyond which events cannot affect an observer.
See Three-body problem and Event horizon
Existence theorem
In mathematics, an existence theorem is a theorem which asserts the existence of a certain object.
See Three-body problem and Existence theorem
Few-body systems
In mechanics, a few-body system consists of a small number of well-defined structures or point particles. Three-body problem and few-body systems are classical mechanics.
See Three-body problem and Few-body systems
Finland
Finland, officially the Republic of Finland, is a Nordic country in Northern Europe.
See Three-body problem and Finland
Florin Diacu
Florin Nicolae Diacu (April 24, 1959 – February 13, 2018) was a Romanian Canadian mathematician and author.
See Three-body problem and Florin Diacu
Galaxy
A galaxy is a system of stars, stellar remnants, interstellar gas, dust, and dark matter bound together by gravity.
See Three-body problem and Galaxy
Galaxy cluster
A galaxy cluster, or a cluster of galaxies, is a structure that consists of anywhere from hundreds to thousands of galaxies that are bound together by gravity, with typical masses ranging from 1014 to 1015 solar masses.
See Three-body problem and Galaxy cluster
Galaxy formation and evolution
The study of galaxy formation and evolution is concerned with the processes that formed a heterogeneous universe from a homogeneous beginning, the formation of the first galaxies, the way galaxies change over time, and the processes that have generated the variety of structures observed in nearby galaxies.
See Three-body problem and Galaxy formation and evolution
Galileo Galilei
Galileo di Vincenzo Bonaiuti de' Galilei (15 February 1564 – 8 January 1642), commonly referred to as Galileo Galilei or simply Galileo, was an Italian astronomer, physicist and engineer, sometimes described as a polymath.
See Three-body problem and Galileo Galilei
General relativity
General relativity, also known as the general theory of relativity and Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics.
See Three-body problem and General relativity
George William Hill
George William Hill (March 3, 1838 – April 16, 1914) was an American astronomer and mathematician.
See Three-body problem and George William Hill
Gravitational constant
The gravitational constant is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.
See Three-body problem and Gravitational constant
Gravity
In physics, gravity is a fundamental interaction which causes mutual attraction between all things that have mass.
See Three-body problem and Gravity
Gravity assist
A gravity assist, gravity assist maneuver, swing-by, or generally a gravitational slingshot in orbital mechanics, is a type of spaceflight flyby which makes use of the relative movement (e.g. orbit around the Sun) and gravity of a planet or other astronomical object to alter the path and speed of a spacecraft, typically to save propellant and reduce expense.
See Three-body problem and Gravity assist
Hamiltonian mechanics
In physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. Three-body problem and Hamiltonian mechanics are classical mechanics, dynamical systems and mathematical physics.
See Three-body problem and Hamiltonian mechanics
Harmonic oscillator
In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x: \vec F.
See Three-body problem and Harmonic oscillator
Helium
Helium (from lit) is a chemical element; it has symbol He and atomic number 2.
See Three-body problem and Helium
Helium atom
A helium atom is an atom of the chemical element helium.
See Three-body problem and Helium atom
Henri Poincaré
Jules Henri Poincaré (29 April 185417 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.
See Three-body problem and Henri Poincaré
Horseshoe orbit
In celestial mechanics, a horseshoe orbit is a type of co-orbital motion of a small orbiting body relative to a larger orbiting body.
See Three-body problem and Horseshoe orbit
Icarus (journal)
ICARUS is a scientific journal dedicated to the field of planetary science.
See Three-body problem and Icarus (journal)
Indiana University Mathematics Journal
The Indiana University Mathematics Journal is a journal of mathematics published by Indiana University.
See Three-body problem and Indiana University Mathematics Journal
Initial condition
In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t.
See Three-body problem and Initial condition
Integrable system
In mathematics, integrability is a property of certain dynamical systems. Three-body problem and Integrable system are dynamical systems.
See Three-body problem and Integrable system
Inverse-square law
In science, an inverse-square law is any scientific law stating that the observed "intensity" of a specified physical quantity is inversely proportional to the square of the distance from the source of that physical quantity.
See Three-body problem and Inverse-square law
Isaac Newton
Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English polymath active as a mathematician, physicist, astronomer, alchemist, theologian, and author who was described in his time as a natural philosopher.
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Jean le Rond d'Alembert
Jean-Baptiste le Rond d'Alembert (16 November 1717 – 29 October 1783) was a French mathematician, mechanician, physicist, philosopher, and music theorist.
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Johannes Kepler
Johannes Kepler (27 December 1571 – 15 November 1630) was a German astronomer, mathematician, astrologer, natural philosopher and writer on music.
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John Harrison
John Harrison (– 24 March 1776) was an English carpenter and clockmaker who invented the marine chronometer, a long-sought-after device for solving the problem of calculating longitude while at sea.
See Three-body problem and John Harrison
Joseph-Louis Lagrange
Joseph-Louis Lagrange (born Giuseppe Luigi Lagrangia, Encyclopædia Britannica or Giuseppe Ludovico De la Grange Tournier; 25 January 1736 – 10 April 1813), also reported as Giuseppe Luigi Lagrange or Lagrangia, was an Italian mathematician, physicist and astronomer, later naturalized French.
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Karl F. Sundman
Karl Frithiof Sundman (28 October 1873, in Kaskinen – 28 September 1949, in Helsinki) was a Finnish mathematician who used analytic methods to prove the existence of a convergent infinite series solution to the three-body problem in two papers published in 1907 and 1909.
See Three-body problem and Karl F. Sundman
Kepler orbit
In celestial mechanics, a Kepler orbit (or Keplerian orbit, named after the German astronomer Johannes Kepler) is the motion of one body relative to another, as an ellipse, parabola, or hyperbola, which forms a two-dimensional orbital plane in three-dimensional space. Three-body problem and Kepler orbit are orbits.
See Three-body problem and Kepler orbit
Lagrange point
In celestial mechanics, the Lagrange points (also Lagrangian points or libration points) are points of equilibrium for small-mass objects under the gravitational influence of two massive orbiting bodies.
See Three-body problem and Lagrange point
Lebesgue measure
In measure theory, a branch of mathematics, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of higher dimensional Euclidean ''n''-spaces.
See Three-body problem and Lebesgue measure
Leonhard Euler
Leonhard Euler (15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician, and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus.
See Three-body problem and Leonhard Euler
Liao Shijun
Liao Shijun (born September 15, 1963) is a fluid mechanics and applied mathematics expert working in homotopy analysis method (HAM), nonlinear waves, nonlinear dynamics, and applied mathematics.
See Three-body problem and Liao Shijun
Limit cycle
In mathematics, in the study of dynamical systems with two-dimensional phase space, a limit cycle is a closed trajectory in phase space having the property that at least one other trajectory spirals into it either as time approaches infinity or as time approaches negative infinity. Three-body problem and limit cycle are dynamical systems.
See Three-body problem and Limit cycle
Low-energy transfer
A low-energy transfer, or low-energy trajectory, is a route in space that allows spacecraft to change orbits using significantly less fuel than traditional transfers.
See Three-body problem and Low-energy transfer
Lunar theory
Lunar theory attempts to account for the motions of the Moon.
See Three-body problem and Lunar theory
Marine chronometer
A marine chronometer is a precision timepiece that is carried on a ship and employed in the determination of the ship's position by celestial navigation.
See Three-body problem and Marine chronometer
Mercury (planet)
Mercury is the first planet from the Sun and the smallest in the Solar System.
See Three-body problem and Mercury (planet)
Michael Minovitch
Michael Andrew Minovitch (1936 - 16 September 2022) was an American mathematician who developed gravity assist technique when he was a UCLA graduate student and working summers at NASA's Jet Propulsion Laboratory.
See Three-body problem and Michael Minovitch
Michel Hénon
Michel Hénon (23 July 1931, Paris – 7 April 2013, Nice) was a French mathematician and astronomer.
See Three-body problem and Michel Hénon
Momentum
In Newtonian mechanics, momentum (momenta or momentums; more specifically linear momentum or translational momentum) is the product of the mass and velocity of an object.
See Three-body problem and Momentum
Moon
The Moon is Earth's only natural satellite.
See Three-body problem and Moon
N-body problem
In physics, the -body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally. Three-body problem and n-body problem are classical mechanics and orbits.
See Three-body problem and N-body problem
N-body simulation
In physics and astronomy, an N-body simulation is a simulation of a dynamical system of particles, usually under the influence of physical forces, such as gravity (see ''n''-body problem for other applications).
See Three-body problem and N-body simulation
Neural network
A neural network is a group of interconnected units called neurons that send signals to one another.
See Three-body problem and Neural network
Newton's law of universal gravitation
Newton's law of universal gravitation says that every particle attracts every other particle in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
See Three-body problem and Newton's law of universal gravitation
Newton's laws of motion
Newton's laws of motion are three physical laws that describe the relationship between the motion of an object and the forces acting on it. Three-body problem and Newton's laws of motion are classical mechanics.
See Three-body problem and Newton's laws of motion
Nicolaus Copernicus
Nicolaus Copernicus (19 February 1473 – 24 May 1543) was a Renaissance polymath, active as a mathematician, astronomer, and Catholic canon, who formulated a model of the universe that placed the Sun rather than Earth at its center.
See Three-body problem and Nicolaus Copernicus
Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). Three-body problem and numerical analysis are mathematical physics.
See Three-body problem and Numerical analysis
Numerical integration
In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral.
See Three-body problem and Numerical integration
Numerical method
In numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems.
See Three-body problem and Numerical method
Numerical relativity
Numerical relativity is one of the branches of general relativity that uses numerical methods and algorithms to solve and analyze problems.
See Three-body problem and Numerical relativity
Perturbation (astronomy)
In astronomy, perturbation is the complex motion of a massive body subjected to forces other than the gravitational attraction of a single other massive body. Three-body problem and perturbation (astronomy) are dynamical systems.
See Three-body problem and Perturbation (astronomy)
Philosophiæ Naturalis Principia Mathematica
Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy) often referred to as simply the Principia, is a book by Isaac Newton that expounds Newton's laws of motion and his law of universal gravitation.
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Physical Review
Physical Review is a peer-reviewed scientific journal established in 1893 by Edward Nichols.
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Physical Review Letters
Physical Review Letters (PRL), established in 1958, is a peer-reviewed, scientific journal that is published 52 times per year by the American Physical Society.
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Physics
Physics is the natural science of matter, involving the study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force.
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Point particle
A point particle, ideal particle or point-like particle (often spelled pointlike particle) is an idealization of particles heavily used in physics. Three-body problem and point particle are classical mechanics.
See Three-body problem and Point particle
Power series
In mathematics, a power series (in one variable) is an infinite series of the form \sum_^\infty a_n \left(x - c\right)^n.
See Three-body problem and Power series
Puiseux series
In mathematics, Puiseux series are a generalization of power series that allow for negative and fractional exponents of the indeterminate.
See Three-body problem and Puiseux series
Qiudong Wang
Qiudong Wang is a professor at the Department of Mathematics, the University of Arizona.
See Three-body problem and Qiudong Wang
Quantum mechanics
Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms.
See Three-body problem and Quantum mechanics
Random walk
In mathematics, a random walk, sometimes known as a drunkard's walk, is a stochastic process that describes a path that consists of a succession of random steps on some mathematical space.
See Three-body problem and Random walk
Regularization (physics)
In physics, especially quantum field theory, regularization is a method of modifying observables which have singularities in order to make them finite by the introduction of a suitable parameter called the regulator.
See Three-body problem and Regularization (physics)
Renaissance
The Renaissance is a period of history and a European cultural movement covering the 15th and 16th centuries.
See Three-body problem and Renaissance
Renormalization group
In theoretical physics, the term renormalization group (RG) refers to a formal apparatus that allows systematic investigation of the changes of a physical system as viewed at different scales. Three-body problem and renormalization group are mathematical physics.
See Three-body problem and Renormalization group
Roger A. Broucke
Roger A. Broucke (March 25, 1932 – June 21, 2005) was an aerospace engineer known for his solutions to the three-body problem.
See Three-body problem and Roger A. Broucke
Rotating reference frame
A rotating frame of reference is a special case of a non-inertial reference frame that is rotating relative to an inertial reference frame. Three-body problem and rotating reference frame are classical mechanics.
See Three-body problem and Rotating reference frame
Santa Fe Institute
The Santa Fe Institute (SFI) is an independent, nonprofit theoretical research institute located in Santa Fe, New Mexico, United States and dedicated to the multidisciplinary study of the fundamental principles of complex adaptive systems, including physical, computational, biological, and social systems.
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Scattering
In physics, scattering is a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities (including particles and radiation) in the medium through which they pass.
See Three-body problem and Scattering
Scholarpedia
Scholarpedia is an English-language wiki-based online encyclopedia with features commonly associated with open-access online academic journals, which aims to have quality content in science and medicine.
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ScienceAlert
ScienceAlert is an independently run online publication and news source that publishes articles featuring scientific research, discoveries, and outcomes.
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Scientific American
Scientific American, informally abbreviated SciAm or sometimes SA, is an American popular science magazine.
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SciTech (magazine)
SciTechDaily is a popular science website, containing sections on space, physics, biology, technology and chemistry.
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Simon Stevin
Simon Stevin (1548–1620), sometimes called Stevinus, was a Flemish mathematician, scientist and music theorist.
See Three-body problem and Simon Stevin
Sitnikov problem
The Sitnikov problem is a restricted version of the three-body problem named after Russian mathematician Kirill Alexandrovitch Sitnikov that attempts to describe the movement of three celestial bodies due to their mutual gravitational attraction. Three-body problem and Sitnikov problem are classical mechanics and orbits.
See Three-body problem and Sitnikov problem
Special right triangle
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.
See Three-body problem and Special right triangle
Star system
A star system or stellar system is a small number of stars that orbit each other, bound by gravitational attraction.
See Three-body problem and Star system
Sun
The Sun is the star at the center of the Solar System.
See Three-body problem and Sun
Symplectic integrator
In mathematics, a symplectic integrator (SI) is a numerical integration scheme for Hamiltonian systems.
See Three-body problem and Symplectic integrator
The Astrophysical Journal
The Astrophysical Journal (ApJ) is a peer-reviewed scientific journal of astrophysics and astronomy, established in 1895 by American astronomers George Ellery Hale and James Edward Keeler.
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The Mathematical Intelligencer
The Mathematical Intelligencer is a mathematical journal published by Springer Science+Business Media that aims at a conversational and scholarly tone, rather than the technical and specialist tone more common among academic journals.
See Three-body problem and The Mathematical Intelligencer
The Three-Body Problem (novel)
The Three-Body Problem is a 2008 novel by the Chinese science fiction author Liu Cixin.
See Three-body problem and The Three-Body Problem (novel)
Three-body problem
In physics, specifically classical mechanics, the three-body problem involves taking the initial positions and velocities (or momenta) of three point masses that orbit each other in space and calculating their subsequent trajectories using Newton's laws of motion and Newton's law of universal gravitation. Three-body problem and three-body problem are Chaotic maps, classical mechanics, dynamical systems, equations of astronomy, mathematical physics and orbits.
See Three-body problem and Three-body problem
Trigonometric series
In mathematics, a trigonometric series is an infinite series of the form where x is the variable and \ and \ are coefficients.
See Three-body problem and Trigonometric series
Two-body problem
In classical mechanics, the two-body problem is to predict the motion of two massive objects which are abstractly viewed as point particles. Three-body problem and two-body problem are dynamical systems and orbits.
See Three-body problem and Two-body problem
Two-body problem in general relativity
The two-body problem in general relativity (or relativistic two-body problem) is the determination of the motion and gravitational field of two bodies as described by the field equations of general relativity.
See Three-body problem and Two-body problem in general relativity
Two-dimensional point vortex gas
The two-dimensional point vortex gas is a discrete particle model used to study turbulence in two-dimensional ideal fluids.
See Three-body problem and Two-dimensional point vortex gas
Tycho Brahe
Tycho Brahe (born Tyge Ottesen Brahe,; 14 December 154624 October 1601), generally called Tycho for short, was a Danish astronomer of the Renaissance, known for his comprehensive and unprecedentedly accurate astronomical observations.
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Venus
Venus is the second planet from the Sun.
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Victor Szebehely
Victor G. Szebehely (August 21, 1921 – September 13, 1997) was a key figure in the development and success of the Apollo program.
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Vitaly Efimov
Vitaly N. Efimov (Russian: Вита́лий Никола́евич Ефи́мов) is a Russian theoretical physicist.
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Vortex
In fluid dynamics, a vortex (vortices or vortexes) is a region in a fluid in which the flow revolves around an axis line, which may be straight or curved.
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3 Body Problem (TV series)
3 Body Problem is an American science fiction television series created by David Benioff, D. B. Weiss and Alexander Woo.
See Three-body problem and 3 Body Problem (TV series)
References
Also known as 3 body problem, 3-body problem, CR3BP, Circular restricted three-body problem, Constant-pattern solution, Earth-Moon-Sun system, Problem of Three Bodies, Restricted 3 body problem, Restricted three body problem, Restricted three-body problem, Shape sphere, Sundman's theorem for the 3-body problem, Three Body Problem.