Einstein–Infeld–Hoffmann equations

E811620

The Einstein–Infeld–Hoffmann equations are post-Newtonian equations of motion in general relativity that describe the dynamics of gravitating bodies with relativistic corrections beyond Newtonian gravity.

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Einstein–Infeld–Hoffmann equations canonical 1

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Predicate Object
instanceOf approximation scheme in gravitational theory ⓘ
equations of motion in general relativity ⓘ
post-Newtonian equations of motion ⓘ
appliesTo slowly moving bodies compared to speed of light ⓘ
weak gravitational fields ⓘ
approximates geodesic motion in curved spacetime ⓘ
assumes point-mass approximation for bodies ⓘ
slow-motion approximation v much less than c ⓘ
basedOn Einstein field equations ⓘ
describes dynamics of gravitating bodies with relativistic corrections ⓘ
motion of point-like masses in general relativity ⓘ
post-Newtonian corrections to Newtonian gravity ⓘ
developedBy Albert Einstein ⓘ
Banesh Hoffmann ⓘ
Leopold Infeld ⓘ
excludesEffect gravitational radiation reaction at leading order ⓘ
field celestial mechanics ⓘ
general relativity ⓘ
gravitational physics ⓘ
generalizationOf Newtonian N-body equations of motion ⓘ
improvesUpon Newtonian equations of motion ⓘ
includesEffect finite propagation speed of gravity ⓘ
gravitational time dilation effects in motion ⓘ
periastron precession ⓘ
relativistic corrections to orbital motion ⓘ
velocity-dependent gravitational interactions ⓘ
involves expansion in powers of v over c ⓘ
mass monopole contributions of bodies ⓘ
mathematicalForm coupled ordinary differential equations for particle trajectories ⓘ
namedAfter Albert Einstein ⓘ
Banesh Hoffmann ⓘ
Leopold Infeld ⓘ
order first post-Newtonian order ⓘ
publicationYear 1938 ⓘ
publishedIn Annals of Mathematics ⓘ
relatedConcept Einstein field equations in weak-field limit ⓘ
parameterized post-Newtonian formalism ⓘ
post-Newtonian formalism ⓘ
two-body problem in general relativity ⓘ
usedFor high-precision ephemerides of planets ⓘ
spacecraft navigation in relativistic models ⓘ
usedIn binary star orbital calculations ⓘ
solar system dynamics modeling ⓘ
tests of general relativity in weak-field regime ⓘ
usesApproximation post-Newtonian expansion ⓘ
validWhen gravitational potentials are small compared to c squared ⓘ
orbital velocities are small compared to speed of light ⓘ

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Leopold Infeld → notableWork → Einstein–Infeld–Hoffmann equations ⓘ
subject linked to: Infeld