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gptkbp:instanceOf
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physics problem
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gptkbp:application
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galactic dynamics
solar system dynamics
star cluster evolution
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gptkbp:computational_method
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gptkb:fast_multipole_method
gptkb:Barnes-Hut_algorithm
direct integration
symplectic integrators
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gptkbp:describes
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motion of N point masses under Newtonian gravity
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gptkbp:difficulty
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chaotic for N>2
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gptkbp:field
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gptkb:classical_mechanics
celestial mechanics
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gptkbp:first_studied
|
17th century
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gptkbp:formedBy
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gptkb:Isaac_Newton
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gptkbp:governing_equations
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gptkb:Newton's_law_of_universal_gravitation
gptkb:Newton's_second_law_of_motion
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gptkbp:hasSpecialCase
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two-body problem
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https://www.w3.org/2000/01/rdf-schema#label
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Newtonian N-body problem
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gptkbp:limitation
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no general closed-form solution for N>2
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gptkbp:notable_solution
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gptkb:Euler's_collinear_solution_(for_N=3)
gptkb:Lagrange_points_(for_N=3)
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gptkbp:relatedConcept
|
gptkb:restricted_three-body_problem
many-body problem
N-body simulation
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gptkbp:relatedTo
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astrophysics
computational physics
dynamical astronomy
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gptkbp:solution_type
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analytical solutions for N=2
numerical solutions for N>2
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gptkbp:bfsParent
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gptkb:Painlevé_conjecture
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gptkbp:bfsLayer
|
6
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