What is the difference between a translation and a Galilean transformation?time invariance for “Translations” versus “Galilean transformations”Lorentz and Galilean transformationWhat does a Galilean transformation actually mean?What is the Galilean transformation of the EM field?Galilean TransformationVelocity of light in Galilean transformationWhy isn't scaling space and time considered the 11th dimension of the Galilean group?
Are professors obligated to accept supervisory role? If not, how does it work?
How strong is aircraft-grade spruce?
Is a MySQL database a viable alternative to LDAP?
RANK used in 'where' returns invalid column, but exists in results set
Contour plot of a sequence of spheres with increasing radius
What makes an ending "happy"?
What is the difference between tl_to_str:V and tl_to_str:N?
What is the difference between a translation and a Galilean transformation?
How to descend a few exposed scrambling moves with minimal equipment?
I multiply the source, you (probably) multiply the output!
UK citizen travelling to France at the end of November
How to handle fsck "Error while scanning inodes"?
Do you need to burn fuel between gravity assists?
Does the 2019 UA artificer need to prepare the Lesser Restoration spell to cast it with their Alchemical Mastery feature?
Why does low tire pressure decrease fuel economy?
What makes things real?
Isn't that (two voices leaping to C like this) a breaking of the rules of four-part harmony?
Change-due function
Contractor cut joist hangers to make them fit
How invisible hand adjusts stock prices if company is listed on multiple exchanges, under multiple currencies, and one of the currencies plunges?
Are programming languages necessary/useful for operations research practitioner?
Poor management handling of recent sickness and how to approach my return?
More than three domains hosted on the same IP address
How to calculate the proper layer height multiples?
What is the difference between a translation and a Galilean transformation?
time invariance for “Translations” versus “Galilean transformations”Lorentz and Galilean transformationWhat does a Galilean transformation actually mean?What is the Galilean transformation of the EM field?Galilean TransformationVelocity of light in Galilean transformationWhy isn't scaling space and time considered the 11th dimension of the Galilean group?
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
What is the difference between a translation and a Galilean transformation?
newtonian-mechanics inertial-frames definition galilean-relativity
edited 44 mins ago
knzhou
55.6k14 gold badges157 silver badges269 bronze badges
asked yesterday
user10796158user10796158
4652 silver badges9 bronze badges
$endgroup$
add a comment |
$begingroup$
What is the difference between a translation and a Galilean transformation?
newtonian-mechanics inertial-frames definition galilean-relativity
edited 44 mins ago
knzhou
55.6k14 gold badges157 silver badges269 bronze badges
asked yesterday
user10796158user10796158
4652 silver badges9 bronze badges
$endgroup$
add a comment |
$begingroup$
What is the difference between a translation and a Galilean transformation?
newtonian-mechanics inertial-frames definition galilean-relativity
edited 44 mins ago
knzhou
55.6k14 gold badges157 silver badges269 bronze badges
asked yesterday
user10796158user10796158
4652 silver badges9 bronze badges
$endgroup$
What is the difference between a translation and a Galilean transformation?
newtonian-mechanics inertial-frames definition galilean-relativity
newtonian-mechanics inertial-frames definition galilean-relativity
edited 44 mins ago
knzhou
55.6k14 gold badges157 silver badges269 bronze badges
asked yesterday
user10796158user10796158
4652 silver badges9 bronze badges
edited 44 mins ago
knzhou
55.6k14 gold badges157 silver badges269 bronze badges
asked yesterday
user10796158user10796158
4652 silver badges9 bronze badges
edited 44 mins ago
knzhou
55.6k14 gold badges157 silver badges269 bronze badges
edited 44 mins ago
knzhou
55.6k14 gold badges157 silver badges269 bronze badges
edited 44 mins ago
knzhou
55.6k14 gold badges157 silver badges269 bronze badges
55.6k14 gold badges157 silver badges269 bronze badges
asked yesterday
user10796158user10796158
4652 silver badges9 bronze badges
asked yesterday
user10796158user10796158
4652 silver badges9 bronze badges
asked yesterday
user10796158user10796158
4652 silver badges9 bronze badges
4652 silver badges9 bronze badges
add a comment |
add a comment |
4 Answers
4
active
oldest
votes
$begingroup$
In a Galilean transformation:
$$
x’=x-V_x t,qquad y’=y-V_yt, ,qquad z’=z-V_z t, ,qquad t’=t
$$
whereas in (spatial) translation
$$
x’=x-r_x, ,qquad y’=y-r_y, ,qquad z’=z-r_z, ,qquad t’=t, .
$$
The Galilean transformation depends explicitly on the relative velocity $vec V$ and the time $t$: for different $t$’s you add a different vector $vec V t$, whereas the simple translation adds a fixed time-independent vector $vec r$ to each coordinate.
Since the bit you add in the Galilean transformation is time-dependent, it affects how velocities transform:
$$
vec v’=vec v-vec V
$$
whereas, for a simple translation, $vec v’=vec v$ since there is no time-dependence on the shift in position.
answered 23 hours ago
ZeroTheHeroZeroTheHero
22.8k5 gold badges35 silver badges71 bronze badges
$endgroup$
add a comment |
$begingroup$
A Galilean transformation is a translation per unit time: whereas a translation just displaces all space by some vector, a Galilean transformation displaces space by some vector that is different at different moments in time. More precisely, it depends linearly on time.
If you've encountered spacetime diagrams before: on an (x, t) spacetime diagram, a translation would just be shifting the whole of the diagram to the right or to the left, whereas a Galilean transformation involves skewing the diagram.
answered yesterday
MovpasdMovpasd
513 bronze badges
New contributor
Movpasd is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
A Galilean transformation (or “Galilean boost”) is a change to a second inertial reference frame that is moving with constant velocity relative to the first one, but where the origin and axes align, so there is no translation at $t=0$ and no rotation at any time.
Imagine a bicyclist passing by you. His frame is boosted from yours. Yours is boosted from his, in the opposite direction.
Galilean boosts are the Newtonian equivalent of Lorentz boosts in Special Relativity.
In a translation, the frames do not have any relative motion. They just have different origins (but aligned axes).
answered yesterday
G. SmithG. Smith
22k1 gold badge40 silver badges74 bronze badges
$endgroup$
add a comment |
$begingroup$
A galilean boost changes your reference frame. A translation only changes your position in the same reference frame.
answered 21 hours ago
my2ctsmy2cts
7,8152 gold badges7 silver badges23 bronze badges
$endgroup$
add a comment |
Your Answer
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "151"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/4.0/"u003ecc by-sa 4.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fphysics.stackexchange.com%2fquestions%2f500693%2fwhat-is-the-difference-between-a-translation-and-a-galilean-transformation%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
4 Answers
4
active
oldest
votes
4 Answers
4
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
In a Galilean transformation:
$$
x’=x-V_x t,qquad y’=y-V_yt, ,qquad z’=z-V_z t, ,qquad t’=t
$$
whereas in (spatial) translation
$$
x’=x-r_x, ,qquad y’=y-r_y, ,qquad z’=z-r_z, ,qquad t’=t, .
$$
The Galilean transformation depends explicitly on the relative velocity $vec V$ and the time $t$: for different $t$’s you add a different vector $vec V t$, whereas the simple translation adds a fixed time-independent vector $vec r$ to each coordinate.
Since the bit you add in the Galilean transformation is time-dependent, it affects how velocities transform:
$$
vec v’=vec v-vec V
$$
whereas, for a simple translation, $vec v’=vec v$ since there is no time-dependence on the shift in position.
answered 23 hours ago
ZeroTheHeroZeroTheHero
22.8k5 gold badges35 silver badges71 bronze badges
$endgroup$
add a comment |
$begingroup$
In a Galilean transformation:
$$
x’=x-V_x t,qquad y’=y-V_yt, ,qquad z’=z-V_z t, ,qquad t’=t
$$
whereas in (spatial) translation
$$
x’=x-r_x, ,qquad y’=y-r_y, ,qquad z’=z-r_z, ,qquad t’=t, .
$$
The Galilean transformation depends explicitly on the relative velocity $vec V$ and the time $t$: for different $t$’s you add a different vector $vec V t$, whereas the simple translation adds a fixed time-independent vector $vec r$ to each coordinate.
Since the bit you add in the Galilean transformation is time-dependent, it affects how velocities transform:
$$
vec v’=vec v-vec V
$$
whereas, for a simple translation, $vec v’=vec v$ since there is no time-dependence on the shift in position.
answered 23 hours ago
ZeroTheHeroZeroTheHero
22.8k5 gold badges35 silver badges71 bronze badges
$endgroup$
add a comment |
$begingroup$
In a Galilean transformation:
$$
x’=x-V_x t,qquad y’=y-V_yt, ,qquad z’=z-V_z t, ,qquad t’=t
$$
whereas in (spatial) translation
$$
x’=x-r_x, ,qquad y’=y-r_y, ,qquad z’=z-r_z, ,qquad t’=t, .
$$
The Galilean transformation depends explicitly on the relative velocity $vec V$ and the time $t$: for different $t$’s you add a different vector $vec V t$, whereas the simple translation adds a fixed time-independent vector $vec r$ to each coordinate.
Since the bit you add in the Galilean transformation is time-dependent, it affects how velocities transform:
$$
vec v’=vec v-vec V
$$
whereas, for a simple translation, $vec v’=vec v$ since there is no time-dependence on the shift in position.
answered 23 hours ago
ZeroTheHeroZeroTheHero
22.8k5 gold badges35 silver badges71 bronze badges
$endgroup$
In a Galilean transformation:
$$
x’=x-V_x t,qquad y’=y-V_yt, ,qquad z’=z-V_z t, ,qquad t’=t
$$
whereas in (spatial) translation
$$
x’=x-r_x, ,qquad y’=y-r_y, ,qquad z’=z-r_z, ,qquad t’=t, .
$$
The Galilean transformation depends explicitly on the relative velocity $vec V$ and the time $t$: for different $t$’s you add a different vector $vec V t$, whereas the simple translation adds a fixed time-independent vector $vec r$ to each coordinate.
Since the bit you add in the Galilean transformation is time-dependent, it affects how velocities transform:
$$
vec v’=vec v-vec V
$$
whereas, for a simple translation, $vec v’=vec v$ since there is no time-dependence on the shift in position.
answered 23 hours ago
ZeroTheHeroZeroTheHero
22.8k5 gold badges35 silver badges71 bronze badges
edited 20 hours ago
answered 23 hours ago
ZeroTheHeroZeroTheHero
22.8k5 gold badges35 silver badges71 bronze badges
answered 23 hours ago
ZeroTheHeroZeroTheHero
22.8k5 gold badges35 silver badges71 bronze badges
answered 23 hours ago
ZeroTheHeroZeroTheHero
22.8k5 gold badges35 silver badges71 bronze badges
22.8k5 gold badges35 silver badges71 bronze badges
add a comment |
add a comment |
$begingroup$
A Galilean transformation is a translation per unit time: whereas a translation just displaces all space by some vector, a Galilean transformation displaces space by some vector that is different at different moments in time. More precisely, it depends linearly on time.
If you've encountered spacetime diagrams before: on an (x, t) spacetime diagram, a translation would just be shifting the whole of the diagram to the right or to the left, whereas a Galilean transformation involves skewing the diagram.
answered yesterday
MovpasdMovpasd
513 bronze badges
New contributor
Movpasd is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
A Galilean transformation is a translation per unit time: whereas a translation just displaces all space by some vector, a Galilean transformation displaces space by some vector that is different at different moments in time. More precisely, it depends linearly on time.
If you've encountered spacetime diagrams before: on an (x, t) spacetime diagram, a translation would just be shifting the whole of the diagram to the right or to the left, whereas a Galilean transformation involves skewing the diagram.
answered yesterday
MovpasdMovpasd
513 bronze badges
New contributor
Movpasd is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
A Galilean transformation is a translation per unit time: whereas a translation just displaces all space by some vector, a Galilean transformation displaces space by some vector that is different at different moments in time. More precisely, it depends linearly on time.
If you've encountered spacetime diagrams before: on an (x, t) spacetime diagram, a translation would just be shifting the whole of the diagram to the right or to the left, whereas a Galilean transformation involves skewing the diagram.
answered yesterday
MovpasdMovpasd
513 bronze badges
New contributor
Movpasd is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
A Galilean transformation is a translation per unit time: whereas a translation just displaces all space by some vector, a Galilean transformation displaces space by some vector that is different at different moments in time. More precisely, it depends linearly on time.
If you've encountered spacetime diagrams before: on an (x, t) spacetime diagram, a translation would just be shifting the whole of the diagram to the right or to the left, whereas a Galilean transformation involves skewing the diagram.
answered yesterday
MovpasdMovpasd
513 bronze badges
New contributor
Movpasd is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered yesterday
MovpasdMovpasd
513 bronze badges
New contributor
Movpasd is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered yesterday
MovpasdMovpasd
513 bronze badges
answered yesterday
MovpasdMovpasd
513 bronze badges
513 bronze badges
New contributor
Movpasd is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Movpasd is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
$begingroup$
A Galilean transformation (or “Galilean boost”) is a change to a second inertial reference frame that is moving with constant velocity relative to the first one, but where the origin and axes align, so there is no translation at $t=0$ and no rotation at any time.
Imagine a bicyclist passing by you. His frame is boosted from yours. Yours is boosted from his, in the opposite direction.
Galilean boosts are the Newtonian equivalent of Lorentz boosts in Special Relativity.
In a translation, the frames do not have any relative motion. They just have different origins (but aligned axes).
answered yesterday
G. SmithG. Smith
22k1 gold badge40 silver badges74 bronze badges
$endgroup$
add a comment |
$begingroup$
A Galilean transformation (or “Galilean boost”) is a change to a second inertial reference frame that is moving with constant velocity relative to the first one, but where the origin and axes align, so there is no translation at $t=0$ and no rotation at any time.
Imagine a bicyclist passing by you. His frame is boosted from yours. Yours is boosted from his, in the opposite direction.
Galilean boosts are the Newtonian equivalent of Lorentz boosts in Special Relativity.
In a translation, the frames do not have any relative motion. They just have different origins (but aligned axes).
answered yesterday
G. SmithG. Smith
22k1 gold badge40 silver badges74 bronze badges
$endgroup$
add a comment |
$begingroup$
A Galilean transformation (or “Galilean boost”) is a change to a second inertial reference frame that is moving with constant velocity relative to the first one, but where the origin and axes align, so there is no translation at $t=0$ and no rotation at any time.
Imagine a bicyclist passing by you. His frame is boosted from yours. Yours is boosted from his, in the opposite direction.
Galilean boosts are the Newtonian equivalent of Lorentz boosts in Special Relativity.
In a translation, the frames do not have any relative motion. They just have different origins (but aligned axes).
answered yesterday
G. SmithG. Smith
22k1 gold badge40 silver badges74 bronze badges
$endgroup$
A Galilean transformation (or “Galilean boost”) is a change to a second inertial reference frame that is moving with constant velocity relative to the first one, but where the origin and axes align, so there is no translation at $t=0$ and no rotation at any time.
Imagine a bicyclist passing by you. His frame is boosted from yours. Yours is boosted from his, in the opposite direction.
Galilean boosts are the Newtonian equivalent of Lorentz boosts in Special Relativity.
In a translation, the frames do not have any relative motion. They just have different origins (but aligned axes).
answered yesterday
G. SmithG. Smith
22k1 gold badge40 silver badges74 bronze badges
edited 22 hours ago
answered yesterday
G. SmithG. Smith
22k1 gold badge40 silver badges74 bronze badges
answered yesterday
G. SmithG. Smith
22k1 gold badge40 silver badges74 bronze badges
answered yesterday
G. SmithG. Smith
22k1 gold badge40 silver badges74 bronze badges
22k1 gold badge40 silver badges74 bronze badges
add a comment |
add a comment |
$begingroup$
A galilean boost changes your reference frame. A translation only changes your position in the same reference frame.
answered 21 hours ago
my2ctsmy2cts
7,8152 gold badges7 silver badges23 bronze badges
$endgroup$
add a comment |
$begingroup$
A galilean boost changes your reference frame. A translation only changes your position in the same reference frame.
answered 21 hours ago
my2ctsmy2cts
7,8152 gold badges7 silver badges23 bronze badges
$endgroup$
add a comment |
$begingroup$
A galilean boost changes your reference frame. A translation only changes your position in the same reference frame.
answered 21 hours ago
my2ctsmy2cts
7,8152 gold badges7 silver badges23 bronze badges
$endgroup$
A galilean boost changes your reference frame. A translation only changes your position in the same reference frame.
answered 21 hours ago
my2ctsmy2cts
7,8152 gold badges7 silver badges23 bronze badges
answered 21 hours ago
my2ctsmy2cts
7,8152 gold badges7 silver badges23 bronze badges
answered 21 hours ago
my2ctsmy2cts
7,8152 gold badges7 silver badges23 bronze badges
answered 21 hours ago
my2ctsmy2cts
7,8152 gold badges7 silver badges23 bronze badges
7,8152 gold badges7 silver badges23 bronze badges
add a comment |
add a comment |
Thanks for contributing an answer to Physics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fphysics.stackexchange.com%2fquestions%2f500693%2fwhat-is-the-difference-between-a-translation-and-a-galilean-transformation%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
