enceladus_ said:
I guess my question is really silly. I am wondering why since the Sun bobbles, why aren't the Earth and the other planets in bobbles of their own simultaneously?
In other words, I see the orbit of the planets as an ellipse, and the orbit of the sun like a sine wave, slowly oscillating back and forth over 60 million years. Why are these orbits not the same in behavior? I understand that the planets bob back and forth with the sun but it just seems really odd to me that orbits would differ in behavior. Are the orbits of the planets not as simple as the 2D figures I make them out to be?
Indeed they are not as simple.
For a simple comparison, look at the orbit of Moon.
It is like an ellipse. And it resembles an ellipse in a plane inclined to ecliptic at about 5 degrees, so intersecting ecliptic twice.
But this is merely a resemblance. If Moon followed a planar orbit then eclipses could only happen twice a year at fixed dates. This is not the case - eclipses of Sun and Moon occur at all seasons, over extended period of time.
Why?
Because Moon does NOT follow a planar orbit. Moon does cross ecliptic about twice a month. But actually, a bit more often! The nodes of Moon make a full circle around ecliptic in 18,6 years - which means that in about 240 orbits of Moon, Moon will bobble one extra cycle.
Likewise, Moon does not follow an elliptical orbit. Moon experiences perigees and apogees - but each successive apogee is in a different direction. The apside line makes a full circle in 8,85 years - about 120 orbits of Moon.
Why?
Moon would follow a planar, elliptic closed orbit if Earth and Moon were alone as a two body system, with Sun very, very far away.
But this is not the case.
The gravity of Sun perturbs the movement of the Moon. Even though the semimajor axis, eccentricity and inclination of Moon stay relatively constant, the direction of apsides and nodes change rapidly.
How about planets?
Remember that the planets are very small relative to Sun. Jupiter is 1050 times lighter than Sun.
The orbit of Earth is also not planar, nor a closed ellipse. But it is very much closer to these than the orbit of Moon is.
For example, the apsides of Earth make a full rotation in 112 000 years, which is 112 000 orbits - compare the apsides of Moon making a full rotation in 120 orbits. This is caused mostly by Jupiter and Venus, and the rest from other planets and general relativity.
So the open orbits happen because there is mass elsewhere than in Sun, but they are near to closed ellipses because there is not much mass there.
Now look at the orbit of Sun, and all other stars in Milky Way.
If the mass of Milky Way were concentrated in the central black hole and the rest of Milky Way were of comparatively negligible mass then Sun and other stars should follow closed, plane elliptical orbits.
If the bulk of the Milky Way mass were in spherically symmetric crown, whether of dark matter or of dim old stars and globular clusters, with Milky Way disc being shiny but lightweight gas and young stars, then Sun would have a changing direction of apsides - but there would be no reason to change the plane of orbit.
Instead, the Sun bobs up and down relative to Milky Way plane - not 1 crossing each way per orbit, as would happen if Sun followed a planar orbit ignoring the Milky Way plane, but I have heard the number of 2,7 crossings each way.
So 1,7 extra crossing pairs each orbit - compared to Moon which has just 0,004 extra crossing pairs each orbit.
The reason is that Milky Way disc does have a lot of mass attracting the Sun - its influence is strong compared to black hole, masses of stars and dark matter in the centre. Again compare Moon - it crosses the ecliptic 13 times per year each way, simply because it is orbiting Earth, and only then, along with Earth, is orbiting the Sun. Sun, likewise, is mostly attracted by the nearby parts of Milky Way disc, and only more weakly by the various stuff defining the middle of Milky Way.
What I could not find in a hurry is the actual speed of the precession of Earth´s ecliptic plane. Does anyone know?