I read a previous thread on plane change for orbits.

I wanted to take this question a step further and I don't have the vocabulary to ask the questions well but I'll try:

For the given plane that you are on, there is an apogee and perigee and I will call their position on this orbital plane "progression". I think progression is defined 0deg - 360deg as your progress along your orbit?

For the other directions I'll give it the X,Y, Z coordinate definitions.

So if you imagine looking at the X,Y plane with Z going straight in front of you...

For the purposes of the questions, the initial orbital plane's Prograde and Retrograde are +/- Y-axis/Z-axis. Basically you're looking at the orbital plane such that it is the Y-Axis orbiting around the X-axis.

Hopefully now you can imagine a circle (the orbital plane) centered on Y, with yaw rotating around the Z axis, roll rotating around the Y axis, and pitch rotating around the X axis.

Conceptualizing the orbital plane in this way, how do I approximate what the changes will be to the plane's position over the orbited body....

X,Y,Z coord.

If 0,0,+Z = Perihelion and 0,0,-Z = Aphelion....

Then to change the orbital plane around the X, Y, Z axes is dependent upon a 90deg yaw burn but is [PROGRESS] dependent, correct?

That is to say I can ONLY turn around the:

Y-axis when at 0deg or 180deg [PROGRESS]. (At Perihelion or at Aphelion).

Z=axis when at 90deg or 270deg [PROGRESS].

NOTE 1) Now I don't know how progress between those periods of orbit affects the angle but I can tell that somehow it's going to be affected and there will never be a solution where Y-axis is modified at 90deg or Z-axis modified at 0deg.

Correct so far?

What I mean by NOTE 1) is I'm not sure if it is a sin or cos or tan but it's some thing like this:

As I progress from 270deg to 360deg (0deg), assuming a 90deg yaw, my orbital plane will change 100% around the Z axis. But then determined by sin/cos/tan, it will diminish to 50% at 315deg [PROGRESSION], and change on Y-axis will increase from 0% to 50%.

By 360deg (0deg) [PROGRESSION] the Z-axis change will diminish to 0% and the Y-axis change will now be 100%.

NOTE 2)

Because I believe NOTE 1) to be intuitively true, I come to my first question.

QUESTION 1) does changing the YAW angle, relative to your orbital plane at a given DEGREE of [PROGRESSION], determine how effectively you rotate on a given axis of the coordinate system as above defined?

Such that if I angle correctly, can I rotate my orbital plane along the Y-axis, regardless where I am in the [PROGRESSION] of the orbit?

My intuition says no, there is never a case where that is true without substantially altering other parameters of the orbit.

So:

QUESTION 2) is all orbital plane maneuvers [PROGRESS] dependent?

Lastly:

QUESTION 3) how does one change the X-axis.

As above defined, rolling the orbit along the X-axis intuitively requires a 90deg orientation to that plane. Just as the others YAW 90deg at some [PROGRESS]

Then does 90deg Pitches (toward center of orbit or away from center of orbit) rotate the position of 0deg and 180deg [PROGRESSION] relative to the orbited body acting as the fixed coordinate?

If this is true, what's the mechanics of that?

I have noticed prograde/retrograde burns ALSO rotate the orbital plane over the X-axis, but this is at the expense of increased/decreased altitude. And to keep the same altitude but roll the orbital plane around the X-axis doesn't make sense to me.

Because to subtract the same amount of ENERGY from the system....would reverse the rotation around the X-axis of the orbital plane as well.

---------------------------------------------------------

Thanks for reading this far, sorry that it is probably confusing, but writing these questions without drawings or good vocabulary in orbital mechanics is difficult. So I hope this isn't that confusing.

I wanted to take this question a step further and I don't have the vocabulary to ask the questions well but I'll try:

For the given plane that you are on, there is an apogee and perigee and I will call their position on this orbital plane "progression". I think progression is defined 0deg - 360deg as your progress along your orbit?

For the other directions I'll give it the X,Y, Z coordinate definitions.

So if you imagine looking at the X,Y plane with Z going straight in front of you...

For the purposes of the questions, the initial orbital plane's Prograde and Retrograde are +/- Y-axis/Z-axis. Basically you're looking at the orbital plane such that it is the Y-Axis orbiting around the X-axis.

Hopefully now you can imagine a circle (the orbital plane) centered on Y, with yaw rotating around the Z axis, roll rotating around the Y axis, and pitch rotating around the X axis.

Conceptualizing the orbital plane in this way, how do I approximate what the changes will be to the plane's position over the orbited body....

X,Y,Z coord.

If 0,0,+Z = Perihelion and 0,0,-Z = Aphelion....

Then to change the orbital plane around the X, Y, Z axes is dependent upon a 90deg yaw burn but is [PROGRESS] dependent, correct?

That is to say I can ONLY turn around the:

Y-axis when at 0deg or 180deg [PROGRESS]. (At Perihelion or at Aphelion).

Z=axis when at 90deg or 270deg [PROGRESS].

NOTE 1) Now I don't know how progress between those periods of orbit affects the angle but I can tell that somehow it's going to be affected and there will never be a solution where Y-axis is modified at 90deg or Z-axis modified at 0deg.

Correct so far?

What I mean by NOTE 1) is I'm not sure if it is a sin or cos or tan but it's some thing like this:

As I progress from 270deg to 360deg (0deg), assuming a 90deg yaw, my orbital plane will change 100% around the Z axis. But then determined by sin/cos/tan, it will diminish to 50% at 315deg [PROGRESSION], and change on Y-axis will increase from 0% to 50%.

By 360deg (0deg) [PROGRESSION] the Z-axis change will diminish to 0% and the Y-axis change will now be 100%.

NOTE 2)

Because I believe NOTE 1) to be intuitively true, I come to my first question.

QUESTION 1) does changing the YAW angle, relative to your orbital plane at a given DEGREE of [PROGRESSION], determine how effectively you rotate on a given axis of the coordinate system as above defined?

Such that if I angle correctly, can I rotate my orbital plane along the Y-axis, regardless where I am in the [PROGRESSION] of the orbit?

My intuition says no, there is never a case where that is true without substantially altering other parameters of the orbit.

So:

QUESTION 2) is all orbital plane maneuvers [PROGRESS] dependent?

Lastly:

QUESTION 3) how does one change the X-axis.

As above defined, rolling the orbit along the X-axis intuitively requires a 90deg orientation to that plane. Just as the others YAW 90deg at some [PROGRESS]

Then does 90deg Pitches (toward center of orbit or away from center of orbit) rotate the position of 0deg and 180deg [PROGRESSION] relative to the orbited body acting as the fixed coordinate?

If this is true, what's the mechanics of that?

I have noticed prograde/retrograde burns ALSO rotate the orbital plane over the X-axis, but this is at the expense of increased/decreased altitude. And to keep the same altitude but roll the orbital plane around the X-axis doesn't make sense to me.

Because to subtract the same amount of ENERGY from the system....would reverse the rotation around the X-axis of the orbital plane as well.

---------------------------------------------------------

Thanks for reading this far, sorry that it is probably confusing, but writing these questions without drawings or good vocabulary in orbital mechanics is difficult. So I hope this isn't that confusing.

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