Einstein–Infeld–Hoffmann equations

E811620

approximation scheme in gravitational theory equations of motion in general relativity post-Newtonian equations of motion

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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Statements (47)

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 NERFINISHED ⓘ
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 NERFINISHED ⓘ Banesh Hoffmann NERFINISHED ⓘ Leopold Infeld NERFINISHED ⓘ
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 NERFINISHED ⓘ Banesh Hoffmann NERFINISHED ⓘ Leopold Infeld NERFINISHED ⓘ
order	first post-Newtonian order ⓘ
publicationYear	1938 ⓘ
publishedIn	Annals of Mathematics NERFINISHED ⓘ
relatedConcept	Einstein field equations in weak-field limit NERFINISHED ⓘ 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 ⓘ

Referenced by (1)

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Infeld → notableWork → Einstein–Infeld–Hoffmann equations ⓘ

subject surface form: Leopold Infeld