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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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