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Isn't the velocity in an orbit always tangential, not radial and tangential?
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In this video the person resolves the momentum vector into two components, tangential and radial. But isn't the velocity at every point on the orbit tangential?
newtonian-mechanics kinematics orbital-motion vectors
edited 4 mins ago
knzhou
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In this video the person resolves the momentum vector into two components, tangential and radial. But isn't the velocity at every point on the orbit tangential?
newtonian-mechanics kinematics orbital-motion vectors
edited 4 mins ago
knzhou
37.2k9104178
asked 5 hours ago
Mike Victor
243
New contributor
Mike Victor is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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Does the statement "the velocity at every point on the orbit must be tangential" apply to elliptical orbits?
– Arturs C.
5 hours ago
1
Possible duplicate: physics.stackexchange.com/q/349811/2451
– Qmechanic♦
5 hours ago
@ArtursC. Yes,it does!
– ayc
4 hours ago
1
Please include the explanation you're asking about in your question.
– Dmitry Grigoryev
1 hour ago
add a comment |Â
up vote
2
down vote
favorite
up vote
2
down vote
favorite
In this video the person resolves the momentum vector into two components, tangential and radial. But isn't the velocity at every point on the orbit tangential?
newtonian-mechanics kinematics orbital-motion vectors
edited 4 mins ago
knzhou
37.2k9104178
asked 5 hours ago
Mike Victor
243
New contributor
Mike Victor is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
In this video the person resolves the momentum vector into two components, tangential and radial. But isn't the velocity at every point on the orbit tangential?
newtonian-mechanics kinematics orbital-motion vectors
newtonian-mechanics kinematics orbital-motion vectors
edited 4 mins ago
knzhou
37.2k9104178
asked 5 hours ago
Mike Victor
243
New contributor
Mike Victor is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 4 mins ago
knzhou
37.2k9104178
asked 5 hours ago
Mike Victor
243
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Mike Victor is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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edited 4 mins ago
knzhou
37.2k9104178
edited 4 mins ago
knzhou
37.2k9104178
edited 4 mins ago
knzhou
37.2k9104178
37.2k9104178
asked 5 hours ago
Mike Victor
243
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Mike Victor is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked 5 hours ago
Mike Victor
243
asked 5 hours ago
Mike Victor
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243
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Does the statement "the velocity at every point on the orbit must be tangential" apply to elliptical orbits?
– Arturs C.
5 hours ago
1
Possible duplicate: physics.stackexchange.com/q/349811/2451
– Qmechanic♦
5 hours ago
@ArtursC. Yes,it does!
– ayc
4 hours ago
1
Please include the explanation you're asking about in your question.
– Dmitry Grigoryev
1 hour ago
add a comment |Â
Does the statement "the velocity at every point on the orbit must be tangential" apply to elliptical orbits?
– Arturs C.
5 hours ago
1
Possible duplicate: physics.stackexchange.com/q/349811/2451
– Qmechanic♦
5 hours ago
@ArtursC. Yes,it does!
– ayc
4 hours ago
1
Please include the explanation you're asking about in your question.
– Dmitry Grigoryev
1 hour ago
Does the statement "the velocity at every point on the orbit must be tangential" apply to elliptical orbits?
– Arturs C.
5 hours ago
Does the statement "the velocity at every point on the orbit must be tangential" apply to elliptical orbits?
– Arturs C.
5 hours ago
1
1
Possible duplicate: physics.stackexchange.com/q/349811/2451
– Qmechanic♦
5 hours ago
Possible duplicate: physics.stackexchange.com/q/349811/2451
– Qmechanic♦
5 hours ago
@ArtursC. Yes,it does!
– ayc
4 hours ago
@ArtursC. Yes,it does!
– ayc
4 hours ago
1
1
Please include the explanation you're asking about in your question.
– Dmitry Grigoryev
1 hour ago
Please include the explanation you're asking about in your question.
– Dmitry Grigoryev
1 hour ago
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
5
down vote
accepted
I think it's just a misunderstanding!
But the velocity at every point on the orbit must be tangential right?
Yes,it is and that's why the actual momentum vector is tangential to the ellipse
this person resolves the momentum vector into two components , tangential and radial
And yes he did.But,you should notice that he called one radial and the other perpendicular i.e the resolution is done according to the line joining the object's(planet's) location and sun and the object has radial velocity because radial velocity is defined as the component of the object's velocity that points in the direction of the radius connecting the object and the point.
And if you look at what you are calling as tangential velocity you would notice that this component, i.e perpendicular to line joining planet and sun, isn't tangential to the ellipse.It's just perpendicular to the line joining the planet and the ellipse.
Conclusion: The planet always has velocity tangential to the ellipse and the velocity perpendicular to the line joining planet and object isn't tangential to the ellipse at all instants.
Note:
Although in your question you particularly ask about momentum I just used the term velocity rather than momentum because I think it is easier to understand this way.
If you need momentum at any instant just multiply total velocity with mass(p=mv)
References:
https://en.wikipedia.org/wiki/Radial_velocity
https://www.youtube.com/watch?v=Pa3Of_3vpRc
answered 4 hours ago
ayc
1266
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
5
down vote
accepted
I think it's just a misunderstanding!
But the velocity at every point on the orbit must be tangential right?
Yes,it is and that's why the actual momentum vector is tangential to the ellipse
this person resolves the momentum vector into two components , tangential and radial
And yes he did.But,you should notice that he called one radial and the other perpendicular i.e the resolution is done according to the line joining the object's(planet's) location and sun and the object has radial velocity because radial velocity is defined as the component of the object's velocity that points in the direction of the radius connecting the object and the point.
And if you look at what you are calling as tangential velocity you would notice that this component, i.e perpendicular to line joining planet and sun, isn't tangential to the ellipse.It's just perpendicular to the line joining the planet and the ellipse.
Conclusion: The planet always has velocity tangential to the ellipse and the velocity perpendicular to the line joining planet and object isn't tangential to the ellipse at all instants.
Note:
Although in your question you particularly ask about momentum I just used the term velocity rather than momentum because I think it is easier to understand this way.
If you need momentum at any instant just multiply total velocity with mass(p=mv)
References:
https://en.wikipedia.org/wiki/Radial_velocity
https://www.youtube.com/watch?v=Pa3Of_3vpRc
answered 4 hours ago
ayc
1266
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ayc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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up vote
5
down vote
accepted
I think it's just a misunderstanding!
But the velocity at every point on the orbit must be tangential right?
Yes,it is and that's why the actual momentum vector is tangential to the ellipse
this person resolves the momentum vector into two components , tangential and radial
And yes he did.But,you should notice that he called one radial and the other perpendicular i.e the resolution is done according to the line joining the object's(planet's) location and sun and the object has radial velocity because radial velocity is defined as the component of the object's velocity that points in the direction of the radius connecting the object and the point.
And if you look at what you are calling as tangential velocity you would notice that this component, i.e perpendicular to line joining planet and sun, isn't tangential to the ellipse.It's just perpendicular to the line joining the planet and the ellipse.
Conclusion: The planet always has velocity tangential to the ellipse and the velocity perpendicular to the line joining planet and object isn't tangential to the ellipse at all instants.
Note:
Although in your question you particularly ask about momentum I just used the term velocity rather than momentum because I think it is easier to understand this way.
If you need momentum at any instant just multiply total velocity with mass(p=mv)
References:
https://en.wikipedia.org/wiki/Radial_velocity
https://www.youtube.com/watch?v=Pa3Of_3vpRc
answered 4 hours ago
ayc
1266
New contributor
ayc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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up vote
5
down vote
accepted
up vote
5
down vote
accepted
I think it's just a misunderstanding!
But the velocity at every point on the orbit must be tangential right?
Yes,it is and that's why the actual momentum vector is tangential to the ellipse
this person resolves the momentum vector into two components , tangential and radial
And yes he did.But,you should notice that he called one radial and the other perpendicular i.e the resolution is done according to the line joining the object's(planet's) location and sun and the object has radial velocity because radial velocity is defined as the component of the object's velocity that points in the direction of the radius connecting the object and the point.
And if you look at what you are calling as tangential velocity you would notice that this component, i.e perpendicular to line joining planet and sun, isn't tangential to the ellipse.It's just perpendicular to the line joining the planet and the ellipse.
Conclusion: The planet always has velocity tangential to the ellipse and the velocity perpendicular to the line joining planet and object isn't tangential to the ellipse at all instants.
Note:
Although in your question you particularly ask about momentum I just used the term velocity rather than momentum because I think it is easier to understand this way.
If you need momentum at any instant just multiply total velocity with mass(p=mv)
References:
https://en.wikipedia.org/wiki/Radial_velocity
https://www.youtube.com/watch?v=Pa3Of_3vpRc
answered 4 hours ago
ayc
1266
New contributor
ayc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I think it's just a misunderstanding!
But the velocity at every point on the orbit must be tangential right?
Yes,it is and that's why the actual momentum vector is tangential to the ellipse
this person resolves the momentum vector into two components , tangential and radial
And yes he did.But,you should notice that he called one radial and the other perpendicular i.e the resolution is done according to the line joining the object's(planet's) location and sun and the object has radial velocity because radial velocity is defined as the component of the object's velocity that points in the direction of the radius connecting the object and the point.
And if you look at what you are calling as tangential velocity you would notice that this component, i.e perpendicular to line joining planet and sun, isn't tangential to the ellipse.It's just perpendicular to the line joining the planet and the ellipse.
Conclusion: The planet always has velocity tangential to the ellipse and the velocity perpendicular to the line joining planet and object isn't tangential to the ellipse at all instants.
Note:
Although in your question you particularly ask about momentum I just used the term velocity rather than momentum because I think it is easier to understand this way.
If you need momentum at any instant just multiply total velocity with mass(p=mv)
References:
https://en.wikipedia.org/wiki/Radial_velocity
https://www.youtube.com/watch?v=Pa3Of_3vpRc
answered 4 hours ago
ayc
1266
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ayc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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edited 4 hours ago
answered 4 hours ago
ayc
1266
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answered 4 hours ago
ayc
1266
answered 4 hours ago
ayc
1266
1266
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ayc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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Mike Victor is a new contributor. Be nice, and check out our Code of Conduct.
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Does the statement "the velocity at every point on the orbit must be tangential" apply to elliptical orbits?
– Arturs C.
5 hours ago
1
Possible duplicate: physics.stackexchange.com/q/349811/2451
– Qmechanic♦
5 hours ago
@ArtursC. Yes,it does!
– ayc
4 hours ago
1
Please include the explanation you're asking about in your question.
– Dmitry Grigoryev
1 hour ago