[QUOTE=Frylock]
Then, strictly speaking, doesn’t this mean it’s impossible to leave orbit? For example, doesn’t the Earth exert a (very small but still) non-zero gravitational force on everything, no matter how far away? Within the solar system, isn’t this effect even measurable?
-FrL-
[/QUOTE]
Sorry, I missed this, earlier.
Yeah. You are currently orbiting the center of mass of the entire universe, and the resultant orbit might be closed, or hyperbolic. That’s a big deal point of contention in Astrophysics.
Now, lets talk about the measurable part.
You really can’t measure the effect of planetary sized objects upon stuff further away than say, one astronomical unit, without multiple years of observations, or extremely accurate equipment, or both. Once you measure them, you get authoritative answers that predict near earth objects that will fly by either in 2018, or perhaps 2040, within a million kilometers of the Earth. Or, maybe not.
It’s called the “n body problem” and it is very recent indeed that we have been able to tackle even fairly small values of n when doing the calculation on fairly large computers.
The practical effect is that we don’t pay much attention to the gravitational effects of Uranus, except when we are measuring things out beyond Jupiter, and even then, only when they are in the same general direction.
The convention is to say you orbit something when your motion is not a hyperbola with respect to the center of gravity between you, and the object. The closed ellipse is an orbit, a hyperbola is a fly by. Both are examples of gravitational interactions. From a layman’s point of vew, if it ain’t comin’ back, it ain’t orbiting.
Tris