Is there a name for views of orbital paths that ignore some motions versus those that don't?

Question

Orbital paths of satellites around the Earth are usually shown as conic sections, as are paths of planets around the Sun. In truth, of course, the Earth's satellites are also orbiting the Sun, and the Sun (and its planets, and their satellites) are additionally orbiting the Milky Way. This video thumbnail captures the path that I'm talking about quite well:

And for completeness, here is an example of the simplified view:

Is there a commonly accepted name for these different views?

The purpose is to use it as the label of a setting in a simulator that I'm building, so that the checkbox needn't have the above explanation as its label. One title I'm thinking of is 'true path', but there is probably a better term for it given how common such visualizations are.

Answer 1

I would like to post a comment, but as I do not have enough "reputation" score to do so, here is my complement to @asdflex's comment.

---

As you probably know, motion is always defined relative to a reference (the point you define as fix in YOUR convention, plus the 3 orthogonal Cartesian axis in 3D space of YOUR CHOOSING). By definition then, your description of motion would be meaningless if you leave ambiguous your conventions.

Now, to address your question specifically:

It looks like your video is made with the type of reference called Celestial Reference Frame. There is an internationally agreed one called the ICRF. As an introduction to this concept you can look at this paper: The Next Generation Celestial Reference Frame by M. Johnson et al. Below is an extract of the intro:

It is only by using this inertial reference frame that we are able to disentangle our observations of the motions of celestial objects from our own complex path around our star, and its path through the galaxy, [...]

Your next drawing seems to designate the Sun as the center of the reference frame. Note that you still have to specify the 3 axis to have a fully-defined reference and here you have the choice between many possibilities (cf this link).

Note that people also use ECI (Earth-Centered Inertial) and ECEF (Earth-Centered-Earth-Fixed) references. Let's use these to illustrate the difference that the selection of the reference can make to the description of motions. When we say that a satellite is in geostationary orbit, implicitly we refer to the ECEF. The said satellite appears at rest compared to an observer on Earth, who feels that he is at rest also, because he is moving together with the rotating reference. Now, if we use instead the direction of a star to tie the X-axis with (this is the only difference between ECI and ECEF), then the motion of our geostationary satellite is a closed circle, not a fix point.

The bottom line is that, people choose a reference frame to describe a motion, in the way that is most convenient to them. There is nothing absolute, there is nothing we "neglect" in a given selection. As long as two reference systems are fully defined, a trajectory in one can be mathematically translated into the other. In other words, we don't loose the power of prediction of a motion when choosing a reference frame.

Answer 2

You have to be careful because of the way gravity works. Everything attracts everything, there are no pure Keplerian orbits.

But if we ignore that and pretend say that the Sun is fixed, the Earth rotates around it, and the Moon rotates around the Sun, then if we draw the 2nd image we would call that perhaps a "top-down view of the inertial frame.

If we pin the Earth down so that they Sun-Earth line is fixed but the Moon keeps spinning around it, we can call that a "rotating frame" or a "synodic frame".

The first image could be from an inertial frame, but with the center of the Galaxy as the center.

So both can be inertial, but you have to explicitly say inertial with respect to what?

Here is a really beautiful video

One of my favorites, grab headphones too if you can. From What do the green lines represent in this Lagrange Point animation?

At about 00:35 you can see that the Moon's orbit around the Earth is a circle but appears like a flat spiral in this particular view at the same time

Don't let that fool you though, per this answer to Why is there no concavity in the orbit of the moon around the Sun? the Moon's motion is always concave with respect to the Sun. In this funky view with old fashioned vanishing-point perspective it's hard to get a clear understanding of the motion.

Also see this answer to Does the earth spiral around the sun's movement/motion path?

Lagrange points animation by 3D4U

Animation showing the Earth/Moon system and it's Lagrange points. It's not precise but it shows how these points revolve around Earth while staying fixed relative to The Moon and this was the overall goal here. Specifically, it clearly shows how the L2 point can never be seen from Earth even though it's constantly orbiting our planet - a source of confusion for many. From our perspective here on Earth the L2 point will always be behind The Moon and I hope this small animation illustrates that in a way that can be understood.

Georgia State University: http://hyperphysics.phy-astr.gsu.edu/hbase/Mechanics/lagpt.html

The "camera" always keeps the Earth in front of it, so it is rotating with the Earth. Thus it is in a "rotating frame" with respect to the Sun and and an "inertial frame" with respect to the Earth at the same time.

Answer 3

As your simulator has an absolute reference frame, I think you're looking for the words relative vs absolute path.
For a relative path you also need to indicate the reference point of course.