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Explain notation on bottom of page 06-9 #205

Closed flighttestfact closed 4 years ago

flighttestfact commented 4 years ago

The left hand side of the bottom three equations has a fraction inside of brackets, and two numbers floating on the right side of the closing bracket.

What is meant by this notation?

cooknl commented 4 years ago

I'm unfamiliar with this notation.

On Sun, Mar 15, 2020, 18:06 flighttestfact notifications@github.com wrote:

The left hand side of the bottom three equations has a fraction inside of brackets, and two numbers floating on the right side of the closing bracket.

What is meant by this notation?

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cooknl commented 4 years ago

"H" isn't defined in the section, either.

On Sun, Mar 15, 2020, 19:35 Nathan Cook nathan.gs20@gmail.com wrote:

I'm unfamiliar with this notation.

On Sun, Mar 15, 2020, 18:06 flighttestfact notifications@github.com wrote:

The left hand side of the bottom three equations has a fraction inside of brackets, and two numbers floating on the right side of the closing bracket.

What is meant by this notation?

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cooknl commented 4 years ago

H is defined as angular momentum in 1.8 Mechanics Relations.

Specific angular momentum is a hard thing to track down on the interwebs.

I found a discussion of reference frame transformations here, though: http://www.stengel.mycpanel.princeton.edu/MAE331Lecture10.pdf slide 40

There is similar notation, that indicates the transform is FROM the frame of reference annotated by the lower symbol TO the frame of reference annotated by the upper symbol.

I still don't know what "a, n, l, y, and k" indicate in this context, though.

I think a better source is Al's Math and Physics for Flight Testers available here: https://www.ntps.edu/images/stories/documents/Vol._01_Math__Physics_for_Flight_Testers.zip

Section 7, pp. 7-19 and 7.20.

markjonesjr commented 4 years ago

Replying so you know I'm tracking these responses.

For now, we could remove those four lines. Thoughts?

On Mon, Mar 16, 2020 at 12:17 PM CAPN notifications@github.com wrote:

H is defined as angular momentum in 1.8 Mechanics Relations.

Specific angular momentum is a hard thing to track down on the interwebs.

I found a discussion of reference frame transformations here, though: http://www.stengel.mycpanel.princeton.edu/MAE331Lecture10.pdf slide 40

There is similar notation, that indicates the transform is FROM the frame of reference annotated by the lower symbol TO the frame of reference annotated by the upper symbol.

I still don't know what "a, n, l, y, and k" indicate in this context, though.

I think a better source is Al's Math and Physics for Flight Testers available here:

https://www.ntps.edu/images/stories/documents/Vol._01_Math__Physics_for_Flight_Testers.zip

Section 7, pp. 7-19 and 7.20.

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flighttestfact commented 4 years ago

I think they break it down into its three components, because a cross product in 3 space results in 3-vector.

On Mon, Mar 16, 2020 at 12:37 PM Mark Jones Jr. notifications@github.com wrote:

Replying so you know I'm tracking these responses.

For now, we could remove those four lines. Thoughts?

On Mon, Mar 16, 2020 at 12:17 PM CAPN notifications@github.com wrote:

H is defined as angular momentum in 1.8 Mechanics Relations.

Specific angular momentum is a hard thing to track down on the interwebs.

I found a discussion of reference frame transformations here, though: http://www.stengel.mycpanel.princeton.edu/MAE331Lecture10.pdf slide 40

There is similar notation, that indicates the transform is FROM the frame of reference annotated by the lower symbol TO the frame of reference annotated by the upper symbol.

I still don't know what "a, n, l, y, and k" indicate in this context, though.

I think a better source is Al's Math and Physics for Flight Testers available here:

https://www.ntps.edu/images/stories/documents/Vol._01_Math__Physics_for_Flight_Testers.zip

Section 7, pp. 7-19 and 7.20.

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cooknl commented 4 years ago

I suggest lifting the equations from Al's product, as it looks like the source material.

On Mon, Mar 16, 2020, 12:43 flighttestfact notifications@github.com wrote:

I think they break it down into its three components, because a cross product in 3 space results in 3-vector.

On Mon, Mar 16, 2020 at 12:37 PM Mark Jones Jr. notifications@github.com wrote:

Replying so you know I'm tracking these responses.

For now, we could remove those four lines. Thoughts?

On Mon, Mar 16, 2020 at 12:17 PM CAPN notifications@github.com wrote:

H is defined as angular momentum in 1.8 Mechanics Relations.

Specific angular momentum is a hard thing to track down on the interwebs.

I found a discussion of reference frame transformations here, though: http://www.stengel.mycpanel.princeton.edu/MAE331Lecture10.pdf slide 40

There is similar notation, that indicates the transform is FROM the frame of reference annotated by the lower symbol TO the frame of reference annotated by the upper symbol.

I still don't know what "a, n, l, y, and k" indicate in this context, though.

I think a better source is Al's Math and Physics for Flight Testers available here:

https://www.ntps.edu/images/stories/documents/Vol._01_Math__Physics_for_Flight_Testers.zip

Section 7, pp. 7-19 and 7.20.

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flighttestfact commented 4 years ago

I see that Al's product doesn't use the wacky notation.

On Mon, Mar 16, 2020 at 1:26 PM CAPN notifications@github.com wrote:

I suggest lifting the equations from Al's product, as it looks like the source material.

On Mon, Mar 16, 2020, 12:43 flighttestfact notifications@github.com wrote:

I think they break it down into its three components, because a cross product in 3 space results in 3-vector.

On Mon, Mar 16, 2020 at 12:37 PM Mark Jones Jr. < notifications@github.com> wrote:

Replying so you know I'm tracking these responses.

For now, we could remove those four lines. Thoughts?

On Mon, Mar 16, 2020 at 12:17 PM CAPN notifications@github.com wrote:

H is defined as angular momentum in 1.8 Mechanics Relations.

Specific angular momentum is a hard thing to track down on the interwebs.

I found a discussion of reference frame transformations here, though: http://www.stengel.mycpanel.princeton.edu/MAE331Lecture10.pdf slide 40

There is similar notation, that indicates the transform is FROM the frame of reference annotated by the lower symbol TO the frame of reference annotated by the upper symbol.

I still don't know what "a, n, l, y, and k" indicate in this context, though.

I think a better source is Al's Math and Physics for Flight Testers available here:

https://www.ntps.edu/images/stories/documents/Vol._01_Math__Physics_for_Flight_Testers.zip

Section 7, pp. 7-19 and 7.20.

— You are receiving this because you are subscribed to this thread. Reply to this email directly, view it on GitHub <

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cooknl commented 4 years ago

Yeah, it makes a lot more sense to me.

On Mon, Mar 16, 2020, 14:30 flighttestfact notifications@github.com wrote:

I see that Al's product doesn't use the wacky notation.

On Mon, Mar 16, 2020 at 1:26 PM CAPN notifications@github.com wrote:

I suggest lifting the equations from Al's product, as it looks like the source material.

On Mon, Mar 16, 2020, 12:43 flighttestfact notifications@github.com wrote:

I think they break it down into its three components, because a cross product in 3 space results in 3-vector.

On Mon, Mar 16, 2020 at 12:37 PM Mark Jones Jr. < notifications@github.com> wrote:

Replying so you know I'm tracking these responses.

For now, we could remove those four lines. Thoughts?

On Mon, Mar 16, 2020 at 12:17 PM CAPN notifications@github.com wrote:

H is defined as angular momentum in 1.8 Mechanics Relations.

Specific angular momentum is a hard thing to track down on the interwebs.

I found a discussion of reference frame transformations here, though: http://www.stengel.mycpanel.princeton.edu/MAE331Lecture10.pdf slide 40

There is similar notation, that indicates the transform is FROM the frame of reference annotated by the lower symbol TO the frame of reference annotated by the upper symbol.

I still don't know what "a, n, l, y, and k" indicate in this context, though.

I think a better source is Al's Math and Physics for Flight Testers available here:

https://www.ntps.edu/images/stories/documents/Vol._01_Math__Physics_for_Flight_Testers.zip

Section 7, pp. 7-19 and 7.20.

— You are receiving this because you are subscribed to this thread. Reply to this email directly, view it on GitHub <

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