Galilean transformations

E166671

Galilean transformations are the classical coordinate transformations that relate the space and time measurements between inertial reference frames moving at constant relative velocities in Newtonian mechanics.

All labels observed (1)

Label Occurrences
Galilean transformations canonical 2

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf classical spacetime transformation ⓘ
concept in Newtonian mechanics ⓘ
coordinate transformation ⓘ
appliesTo point particle trajectories in Newtonian spacetime ⓘ
assumes absolute time ⓘ
inertial frames move at constant relative velocity ⓘ
infinite speed of signal propagation limit ⓘ
low relative velocities compared to speed of light ⓘ
same time coordinate for all inertial observers ⓘ
universal simultaneity ⓘ
contrastsWith Lorentz transformations ⓘ
coordinateRelation t' = t ⓘ
x' = x − vt for motion along x-axis ⓘ
y' = y ⓘ
z' = z ⓘ
doesNotPreserve spacetime interval of special relativity ⓘ
domain three-dimensional Euclidean space plus absolute time ⓘ
expresses principle of relativity in Newtonian mechanics ⓘ
failsWhen relative velocities approach speed of light ⓘ
groupProperty forms a group under composition ⓘ
group is called the Galilean group ⓘ
hasSymmetry boosts (changes of inertial frame at constant velocity) ⓘ
spatial rotations ⓘ
spatial translations ⓘ
temporal translations ⓘ
historicalContext precede development of special relativity ⓘ
implies classical velocity addition law ⓘ
invariance of Newton’s laws in inertial frames ⓘ
invariance of acceleration between inertial frames ⓘ
no length contraction ⓘ
no time dilation ⓘ
mathematicalStructure affine transformation on space and time coordinates ⓘ
namedAfter Galileo Galilei ⓘ
preserves form of classical equations of motion in inertial frames ⓘ
spatial distances at a fixed time ⓘ
relatedConcept Galilean invariance ⓘ
Galilean relativity ⓘ
relatedTo principle of inertia ⓘ
relates inertial reference frames ⓘ
usedIn Newtonian gravity ⓘ
Newtonian mechanics ⓘ
classical continuum mechanics ⓘ
classical fluid dynamics ⓘ
classical mechanics ⓘ
usedToDerive classical kinetic energy expressions ⓘ
form of Newton’s second law in different inertial frames ⓘ
validIn non-relativistic limit ⓘ
velocityAdditionLaw u' = u − v for collinear velocities ⓘ

How these facts were elicited

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Galilean relativity → uses → Galilean transformations ⓘ
special relativity → replaces → Galilean transformations ⓘ