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Physics problem related to laws of motion and gravity
specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses orbiting each other
Three-body_problem
2008 science fiction novel by Liu Cixin
The Three-Body Problem (Chinese: 三体; pinyin: Sān tǐ; lit. 'three body') is a 2008 novel by the Chinese hard science fiction author Liu Cixin. It is the
The Three-Body Problem (novel)
The_Three-Body_Problem_(novel)
American sci-fi television series
The Three-Body Problem in Minecraft (2014–2020) and the live-action Three-Body (2023), were entirely in the novels' original Mandarin, 3 Body Problem is
3_Body_Problem_(TV_series)
2023 Chinese science fiction television series
Three-Body (Chinese: 三体) is a Chinese science fiction television series adapted from the novel The Three-Body Problem by Liu Cixin, which was first published
Three-Body
Chinese animated series
The Three-Body Problem in Minecraft (Chinese: 我的三体; pinyin: Wǒdè Sāntǐ; lit. 'My Three-Body') is a Chinese network animated series based on the science
The Three-Body Problem in Minecraft
The_Three-Body_Problem_in_Minecraft
Unfinished Chinese sci-fi film (c. 2015)
The Three-Body Problem (Chinese: 三体) is an unreleased Chinese science fiction 3D film, adapted from the book of the same name by Liu Cixin, directed by
The_Three-Body_Problem_(film)
Topics referred to by the same term
three body problem in Wiktionary, the free dictionary. The three-body problem is a trajectory problem in physics. It may also refer to: Euler's three-body
Three-body problem (disambiguation)
Three-body_problem_(disambiguation)
Problem in physics and celestial mechanics
will the particles move? The two-body problem has been solved and is discussed below. For three or more bodies the problem can only be solved completely
N-body_problem
Motion problem 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
Two-body_problem
Science fiction book trilogy by Liu Cixin
referred to as Three-Body from part of the title of its first novel, The Three-Body Problem (Chinese: 三体; pinyin: Sān Tǐ; lit. 'Three-Body'). The series
Remembrance_of_Earth's_Past
Chinese science fiction writer (born 1963)
Award, and has also received the 2015 Hugo Award for his novel The Three-Body Problem, as well as the 2017 Locus Award for Death's End. He is also a winner
Liu_Cixin
Monograph in the history of mathematics
Poincaré and the Three-Body Problem is a monograph in the history of mathematics on the work of Henri Poincaré on the three-body problem in celestial mechanics
Poincaré and the Three-Body Problem
Poincaré_and_the_Three-Body_Problem
2022 Chinese TV series or program
The Three-Body Problem (Chinese: 三体 ANIMATION; pinyin: Sāntǐ Animation; lit. 'Three-Body Animation') is a Chinese science fiction animated series based
The Three-Body Problem (animated TV series)
The_Three-Body_Problem_(animated_TV_series)
Problem in physics and astronomy
In physics and astronomy, Euler's three-body problem is to solve for the motion of a particle that is acted upon by the gravitational field of two other
Euler's_three-body_problem
2008 Chinese science fiction novel
by Liu Cixin. It is the sequel to the Hugo Award-winning novel The Three-Body Problem in the Remembrance of Earth's Past. The English version, translated
The_Dark_Forest
Topics referred to by the same term
Nirmāṇakāya or "created body", Sambhogakāya or "body of bliss", and the Dharmakāya or "Truth body" Three-body problem, a problem in physics and classical
Three_body
Problem in physics and quantum mechanics
The quantum many-body problem is a general name for a vast category of physical problems pertaining to deriving the behavior of multi-particle systems
Many-body_problem
Surface a body of energy cannot cross
zero-velocity surface is a concept that relates to the N-body problem of gravity. It represents a surface a body of given energy cannot cross, since it would have
Zero-velocity_surface
French mathematician, physicist and engineer (1854–1912)
mathematical physics, and celestial mechanics. In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic
Henri_Poincaré
Branch of astronomy
predict apsidal precession. The problem becomes more complicated when another body is added, creating a three-body problem that cannot be solved exactly
Celestial_mechanics
Physical bodies that orbits the primary bodies
orbiting bodies is modeled by the Two-Body Problem and a system of three orbiting bodies is modeled by the Three-Body Problem. These problems can be generalized
Orbiting_body
Equilibrium points near two orbiting bodies
massive orbiting bodies. Mathematically, this involves the solution of the restricted three-body problem. Normally, the two massive bodies exert an unbalanced
Lagrange_point
Phenomenon affecting the orbit of a binary system
away in computer arithmetic. The practical consequence is that, the three-body problem cannot be solved analytically for an indefinite amount of time, except
Kozai_mechanism
Objects sharing the orbit of a larger one
solutions (collinear and equilateral) of the general three-body problem. In the restricted three-body problem, with one mass negligible (which Lagrange did not
Trojan_(celestial_body)
American writer (born 1976)
Jingfang, Chen Qiufan, Gu Shi, and Xia Jia. His translation of The Three Body Problem by Liu Cixin became a best seller in English. He has also worked as
Ken_Liu
2010 science fiction novel by Liu Cixin
Remembrance of Earth's Past, following the Hugo Award-winning novel The Three-Body Problem and its sequel, The Dark Forest. The original Chinese version was
Death's_End
Italian mathematician (1880–1969)
Padua – 1969) was an Italian mathematician, known for his work on the three-body problem. Biscocini received his laurea in mathematics in 1901 at the University
Giulio_Bisconcini
2011 science fiction novel by Baoshu
the last universe, beginning with the title of the first book: The Three-Body Problem. Han Song thought that "The Redemption of Time reveals that everything
The_Redemption_of_Time
3rd episode of the 1st season of 3 Body Problem
the third episode of the American science fiction television series 3 Body Problem, based on the Chinese novel series Remembrance of Earth's Past by Liu
Destroyer of Worlds (3 Body Problem)
Destroyer_of_Worlds_(3_Body_Problem)
English actress (born 2011)
Body Problem Star is of Asian and British Descent". The Cinemaholic. Retrieved 24 March 2024. Hibberd, James (23 June 2022). "Netflix's 'Three Body Problem'
Eve_Ridley
Orbit parameter conserved in the three-body problem
the three-body problem, the quasi-conservation of Tisserand's invariant is derived as the limit of the Jacobi integral away from the main two bodies (usually
Tisserand's_parameter
Laws in physics about force and motion
express the three bodies' motions over time. Numerical methods can be applied to obtain useful, albeit approximate, results for the three-body problem. The positions
Newton's_laws_of_motion
2004 novel by Liu Cixin
novel by Chinese author Liu Cixin, also considered a precursor to The Three-Body Problem. The original Chinese language version was published in 2004. In 2018
Ball_Lightning_(novel)
Atom of two electrons and one positron
serving as a reference system for studying the quantum mechanical three-body problem. Additionally, the production of this ion is the initial step toward
Positronium_negative_ion
Taiwanese actress (born 1993/1994)
actress. She has starred as Ye Wenjie in the Netflix sci-fi series 3 Body Problem and as Princess Gulun Shou'an in the Amazon Prime Video series Young
Zine_Tseng
The Moon's circuit around Earth
oldest three-body problem of astronomy. More complex descriptions of its orbit account for the influences of Jupiter or any number (n) of bodies, such
Orbit_of_the_Moon
Low-energy trajectories in the Solar System
Interplanetary transfer orbits are solutions to the gravitational three-body problem, which, for the general case, does not have analytical solutions,
Interplanetary Transport Network
Interplanetary_Transport_Network
Open question in philosophy of how abstract minds interact with physical bodies
The mind–body problem is a philosophical problem concerning the relationship between thought and consciousness in the human mind and body. It addresses
Mind–body_problem
Topics referred to by the same term
Seattle Sophon, a fictional elementary particle in the novel The Three-Body Problem Sophon, a fictional character in the sequel novel Death's End Sophona
Sophon
Triangle with at least two sides congruent
the three-body problem has been studied in the special case that the three bodies form an isosceles triangle, because assuming that the bodies are arranged
Isosceles_triangle
American scientist and aerospace engineer
and her PhD dissertation was entitled "Three-dimensional, periodic halo orbits in the restricted three-body problem". Howell started as an assistant professor
Kathleen_Howell
Timescale of dynamical systems
Typical values are: Belousov–Zhabotinsky reaction Molecular chaos Three-body problem Bezruchko, Boris P.; Smirnov, Dmitry A. (5 September 2010). Extracting
Lyapunov_time
Concept in celestial mechanics
for the circular restricted three-body problem. Unlike in the two-body problem, the energy and momentum of each of the bodies comprising the system are
Jacobi_integral
Chinese actress
she was cast in the film adaptation of the best-selling novel, The Three-Body Problem. In 2017, Zhang was cast in the thriller film Once Upon a Time in
Zhang_Jingchu
The Sitnikov problem is a restricted version of the three-body problem named after Russian mathematician Kirill Alexandrovitch Sitnikov that attempts
Sitnikov_problem
Mexican actress and singer (born 1990)
Ambulance (2022). In 2024, she starred in the science fiction series 3 Body Problem and the action-comedy film The Ministry of Ungentlemanly Warfare. In
Eiza_González
Shape with three equal sides
solution of the Thomson problem and of the celestial mechanics's three-body problem, the Laser Interferometer Space Antenna's three identical observatory
Equilateral_triangle
Physics algorithm
defined for the three-body problem. This problem considers the motion of a particle P of negligible mass moving with respect to two larger bodies, P1, P2, modeled
Weak_stability_boundary
French mathematician, astronomer, and geophysicist (1713–1765)
now known as Clairaut's theorem. He also tackled the gravitational three-body problem, being the first to obtain a satisfactory result for the apsidal precession
Alexis_Clairaut
Result in dynamical systems
of the n-body problem, but it turned out to work only for the three-body problem because of a degeneracy in his formulation of the problem for larger
Kolmogorov–Arnold–Moser theorem
Kolmogorov–Arnold–Moser_theorem
American mathematician and novelist
The Three Body Problem, a Cambridge Mystery, a murder mystery novel involving mathematicians in Cambridge in the late 1800s, working on the three-body problem
Leila_Schneps
Annual award for science fiction or fantasy
replaced on the ballot by The Three-Body Problem by Cixin Liu, the eventual winner. Cixin Liu's 2015 winner The Three-Body Problem and 2017 nominee Death's
Hugo_Award_for_Best_Novel
Form of public humiliation and torture
adaptation of the award-winning Chinese science fiction novel The Three-Body Problem by Liu Cixin sparked significant controversy in China by opening with
Struggle_session
British actor (born 1971)
cast of the Netflix live action adaptation of the Chinese novel The Three Body Problem by Liu Cixin, which began shooting later that year. In 2022, through
Benedict_Wong
Finnish mathematician (1873–1949)
prove the existence of a convergent infinite series solution to the three-body problem in two papers published in 1907 and 1909. His results gained fame
Karl_F._Sundman
English polymath (1642–1727)
solved the two-body problem and introduced the three-body problem. He demonstrated that the motion of objects on Earth and celestial bodies could be accounted
Isaac_Newton
Technology with features near one picometer
Waals forces at long ranges). The Chinese science fiction novel The Three-Body Problem features a plot-point in which an advanced alien civilization imbues
Picotechnology
Helium-like quantum systems that have a nucleus and two electrons
Pauli exclusion principle plays a central role. It is an example of a three-body problem. The first few two-electron atoms are: The Schrödinger equation for
Two-electron_atom
Region in space where a satellite orbit is stable
orbital mechanics, the Laplace sphere concerns a specific kind of Three-body problem with orbits. The prototype idea is to study the Sun-Earth-Moon system
Laplace_sphere
Region in which an astronomical body dominates the attraction of satellites
of one of the three bodies allows approximation of the system as a two-body problem, known formally as a "restricted three-body problem". For such two-
Hill_sphere
French mathematician and astronomer (1931–2013)
chaotic behavior. He published a two-volume work on the restricted three-body problem. In 1978 he was awarded the Prix Jean Ricard. The European Space Agency's
Michel_Hénon
quantum-mechanical three-body problem. Unlike the three body problem in classical mechanics, the quantum three body problem is uniformly soluble. In nuclear
Faddeev_equations
Periodic, three-dimensional orbit
orbit associated with one of the L1, L2 or L3 Lagrange points in the three-body problem of orbital mechanics. Although a Lagrange point is just a point in
Halo_orbit
Method in mathematics and numerical analysis
spacecraft taking into account both the Earth and the Moon as in the Three-body problem. There, scenarios emerge where one can take large time steps when
Adaptive_step_size
Branch of philosophy
with the nature of the mind and its relation to the body and the external world. The mind–body problem is a paradigmatic issue in philosophy of mind, although
Philosophy_of_mind
American mathematician
arising in the Newtonian three-body problem. In 1975, he, with John N. Mather, proved that for the Newtonian collinear four-body problem there exist solutions
Richard_McGehee
American scientist (1921 – 1997)
in orbital mechanics, being the definitive text on the restricted three-body problem as applicable to an Earth-Moon spacecraft system such as Apollo. He
Victor_Szebehely
American mathematician
available computer at the time, the IBM 7090, to find solutions of the three-body problem. He ran simulations and developed his own solution by 1962. The first
Michael_Minovitch
American mathematician (1884–1944)
differential equations, dynamical systems, the four-color problem, the three-body problem, and general relativity. Today, Birkhoff is best remembered
George_David_Birkhoff
Italian mathematician (1873–1941)
pure and applied mathematics, celestial mechanics (notably on the three-body problem), analytic mechanics (the Levi-Civita separability conditions in the
Tullio_Levi-Civita
American theoretical physicist (1923-2016)
the SLAC Theory Group, and his research included the relativistic few-body problem, nuclear and particle physics, and later work outside mainstream theoretical
H._Pierre_Noyes
German astronomer and mathematician
Węgorzewo in Poland), and after studying in Königsberg and working on the Three-body problem, he moved to Paris to collaborate with other scientists. In 1871 he
Rodolphe_Radau
1951 science fiction film by Robert Wise
Barnhardt’s blackboard is covered with equations (an attempt to solve the three-body problem). To "leave a calling card", Klaatu enters and writes the solution
The_Day_the_Earth_Stood_Still
Prime astronomical designated entity within a gravitational system
planet moon § Terminology Natural satellite n-body problem Two-body problem Three-body problem Orbiting body "What's a Barycenter?". Space Place. NASA. 23
Primary_body
Phenomenon of instability of integrable Hamiltonian systems
and in the a priori stable case. In the context of the restricted three-body problem, Arnold diffusion can be interpreted in the sense that, for all sufficiently
Arnold_diffusion
American mathematician (b. 1954)
his Ph.D. in 1982 from the ETH Zurich, with a dissertation on the three-body problem jointly supervised by Walter Hunziker and Israel Michael Sigal. He
Michael_Loss
British actress and producer (born 1979)
an executive producer on the Netflix series 3 Body Problem, based on the novel The Three-Body Problem. In November 2023, Pike began filming on Hallow
Rosamund_Pike
American screenwriter
television. He is a co-creater, co-writer, and executive producer on 3 Body Problem (2024-present). His work includes being a co-writer and executive producer
Alexander_Woo
British mathematician and historian of mathematics
University, under supervision of Jeremy Gray, on Poincaré and the Three Body Problem. From 1993 to the present Barrow-Green has worked at the Open University
June_Barrow-Green
Software for a class of mathematical problems
problems Shortest path problems Minimum spanning tree problems Combinatorial optimization Game solvers for problems in game theory Three-body problem
Solver
Periodic solution to the n-body problem
An n-body choreography is a periodic solution to the n-body problem in which all the bodies are equally spread out along a single orbit. The term was originated
N-body_choreography
American computer scientist
found a novel solution to the three-body problem, showing that it is possible in Newtonian mechanics for three equal-mass bodies to follow each other around
Cristopher_Moore
Moon of Saturn
understood in terms of the circular restricted three-body problem, as a case in which the two moons (the third body being Saturn) are similar in size to each
Janus_(moon)
Method to calculate trajectory calculations for spacecraft
body is considered, otherwise the gravitational force between the spacecraft and the larger body is used. This reduces a complicated n-body problem to
Patched_conic_approximation
Dynamical system governed by Hamilton's equations
dynamics, even if the initial value problem cannot be solved analytically. One example is the planetary movement of three bodies: while there is no closed-form
Hamiltonian_system
1996 Book by Iain M. Banks
deals with an Outside Context Problem (OCP), the concept introduced by Banks for the purpose of the novel. This is a problem that is "outside the context"
Excession
Peer-reviewed open-access journal
System by purporting to prove the stability of a special case of the three-body problem. This episode was rediscovered in the 1990s by Daniel Goroff, in his
Acta_Mathematica
Science fiction novel by Kim Stanley Robinson
published in 2020. Set in the near future, the novel follows a subsidiary body, established under the Paris Agreement, whose mission is to act as an advocate
The_Ministry_for_the_Future
American writer and producer (born 1970)
series 3 Body Problem. On September 30, 2006, Benioff married actress Amanda Peet in a traditional Jewish ceremony in New York City. They have three children
David_Benioff
Chinese science fiction and fantasy
compose his own stories. When the third volume of Liu Cixin's The Three-Body Problem trilogy was published in China at the end of 2010, Baoshu was still
Baoshu
Methods of mathematical approximation
the Sun is affected by other planets. This was the origin of the three-body problem; thus, in studying the system Moon-Earth-Sun, the mass ratio between
Perturbation_theory
American writer and producer (born 1971)
Retrieved December 19, 2019. Otterson, Joe (September 1, 2020). "'Three-Body Problem' Series From David Benioff, D.B. Weiss, Alexander Woo Set at Netflix"
D._B._Weiss
Moon of Saturn
understood in terms of the circular restricted three-body problem, as a case in which the two moons (the third body being Saturn) are similar in size to each
Epimetheus_(moon)
Topics referred to by the same term
II Earth-Trisolaris Organization, an organization in the novel The Three-Body Problem Search for "eto" , "e-to", "et-o", or "e-t-o" on Wikipedia. Eto, a
ETO
Bibliography
Earth's Past Series Book 1: The Three-Body Problem, Tor Books, November 2014 (originally the Chinese language novel Three Body, 三体, 2008, by Liu Cixin) Book
Ken_Liu_bibliography
Molecular ion
Lambert W function Molecular astrophysics Holstein–Herring method Three-body problem List of quantum-mechanical systems with analytical solutions Burrau
Dihydrogen_cation
Swedish mathematician and astronomer (1854–1939)
especially an interest in the three-body problem This work was to influence Poincaré whose work on the three-body problem led to the discovery that there
Anders_Lindstedt
Curved path of an object around a point
mechanics emphasizing energy more than force, and made progress on the three-body problem, discovering the Lagrangian points with Euler. In a dramatic vindication
Orbit
French mathematician and astronomer
celestial mechanics and especially on the three-body problem and the perihelion precession of Mercury's orbit. The problem of explaining Mercury's orbit was solved
Jean_Chazy
Feature of systems that defy description
correlated, relationships, or interactions. Weaver perceived and addressed this problem, in at least a preliminary way, in drawing a distinction between "disorganized
Complexity
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THREE BODY-PROBLEM
THREE BODY-PROBLEM
Boy/Male
French
Bow strength. Famous Bearer: late U.S. film star Humphrey Bogart.
Surname or Lastname
English
English : variant spelling of Body.Possibly also an altered spelling of Hungarian Bódi (see Bodi).
Boy/Male
English
Boy.
Surname or Lastname
English
English : nickname from Middle English body, Old English bodig ‘body’, ‘trunk’, presumably denoting a corpulent person. In Middle English the word was also used in the sense ‘individual’, ‘person’.English : occupational name for a messenger, Middle English bode (Old English boda; compare Bothe), with the spelling altered to preserve a disyllabic pronunciation. This development can be clearly traced in Sussex.French : variant of Bodin.Hungarian (Bódy) : variant of Bódi (see Bodi).
Male
English
Pet form of English Joseph, JODY means "(God) shall add (another son)." Compare with feminine Jody.
Boy/Male
English American
Nickname for Joseph and Jude.
Male
Scottish
Scottish surname transferred to forename use, BOYD means "yellow," as in yellow-haired.
Boy/Male
English American
Cushion; helpful.
Male
English
Variant spelling of English unisex Cody, KODY means "helper."
Girl/Female
Indian, Telugu
Veda means Vedham and Shree means Sriman Narayana
Boy/Male
Hungarian
God bless the King.
Boy/Male
Celtic American Gaelic Scottish
Blond.
Female
English
Pet form of English Judith, JODY means "Jewess" or "praised." Compare with masculine Jody.Â
Male
Irish
Irish surname transferred to forename use, BRODY means "ditch."Â
Boy/Male
Scottish American Irish Russian
Second son.
Boy/Male
Irish American English
Helpful.
Boy/Male
Hindu
Awakening, Perception
Surname or Lastname
English
English : variant of Body.
Surname or Lastname
English (mainly southeastern)
English (mainly southeastern) : topographic name for someone who lived near a conspicuous tree, Middle English tre(w).
Boy/Male
Celtic
Blond.
THREE BODY-PROBLEM
THREE BODY-PROBLEM
THREE BODY-PROBLEM
THREE BODY-PROBLEM
THREE BODY-PROBLEM
THREE BODY-PROBLEM
THREE BODY-PROBLEM
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