Is this relative? HELP!

I have a question? I don't know if anyone can help me with it.

Now I know when I jump up not only am I moving away from earth, but earth is moving away from me as well. I was wondering if when I land is the earth on a new orbit slightly differing from the last (even unnoticeable different), before my initial jump, or dose the center of gravity between the two of use (meaning me and the earth) keep us on the same course when we come together.

When you jump you are going the same speed as the earth. If you weren't you would bust your ass everytime you did jump.

There are very tiny deviations.

If you neglect the presence of the Sun, there is no change since the center of mass never moved. If you include the Sun however, the center of mass of the solar system doesn't move, but you can swap tiny amounts of energy with the Sun. This is because the force of gravity is proportional to 1/r^2. If stand on the point on Earth that is furthest from the Sun, if you jump up you jump away from the Earth AND the Sun. The Earth will move slightly closer to the Sun, and pick up more gravitational pull than you lost by jumping away. This is easier to see when you look at 2 objects of the same mass, but the same thing holds for you and the Earth. Point is the Sun will move a tiny bit closer to the Earth and you, therefore the Earth and you will move closer to where the Sun use to be. This effect is extremely small though, since your mass is about 30 orders of magnitude smaller than the Sun. That, and the gravity difference effect will be proportional to 1/distance from the sun ^4, which is another 44 orders of magnitude. So in total, the change will be less than 1/10^70 of the overall motion of the Earth. A tiny amount indeed.

whoa. you lost me at "deviations." o_o

An eaasy answer?
A tree falls in the forest, does it make any (noice) sound if none (no one nor anything) to hear?
First, relative to your perception of sound, by your definition, does sound result from an interpetive medium (no one nor anything)?
Assuming that the tree impacts the forest floor: as the tree falls, air is displaced by it's motion; as it strikes the ground, brush, leaves and twigs are broken and crushed by the impact; the soft ground composed of decaying vegetation is compacted forming a depression in which the tree rests.
A earthworm in the soil feels the vibrations of the impact as the air rushes along the ground ripping the delicate spider's web. The underbrush thrive on the additional sunlight and nutrients of the decaying tree!
Relativity speaking: For every action there is an equal and opposite reaction, theoritically yes the earth reacts to your action but even though the force is the same there is a huge difference in mass. Of course if the earth beneigh your feet was soft then compression would become part of the equation.

Honestly I don't believe any of the answers given explain the true meaning of the very question asked.

shadowcult: I was wondering if when I land, is the earth on a new orbit slightly differing from the last (even unnoticeable different), before my initial jump, or dose the center of gravity between the two of use (meaning me and the earth) keep us on the same course when we come together.
Pugsl3yB0y: Honestly I don't believe any of the answers given explain the true meaning of the very question asked.

Well . . . actually I believe the action -reaction principle does define the principle as his jumping up & coming down does not extend beyond the atmosphere which is still part of the earth's inertial reference system. So I would answer, yes.

ya whoa - what's this magnitude thing.

Guessing however I would have to say there is a very slight deviation unnoticeable even except by maybe a micron microscope.

Just Guessing

I'd agree with cturtle, and OK. Your speed is way too slow to show a difference, except for maybe a microscope, or some other precision intsrument.

What if you were able to jump higher and longer though? Would this change the answer?

i know little to nothing about this, but i consulted some people and they all agree that the earth does move, but it is basically unnoticable. my father said that he liked his physics class in college because he learned that this was true.

WWelll, ya ask so may be should seek the answer?
reference#1 the earth plane: action, you push against the earth. The reaction the earth's inertia resist this change, therefore you push away form the center.
The earth's inertia is the action your motion is the reaction, you accelerate against the atmosphere which combined with gravitational attraction decreases your acceleration at an apex where your velocity equals 0; At this point change of mass (your) has changed the overall mass of the earth because when you stool upon the earth, your mass had value X. now your mass has the value of X plus the ht. of your jump but the overall mass of the earth is so much greater than your mass and because the overall change is neglishable then the effect is even less. Yes it in theory does change but the change is so minute as to be unmeasureable.
reference#2 the earth / moon reference because this system is part of the equation of the earth's orbit then the effect would also minutely effected by the inertia which would futher reduce the effect.
reference#3 the earth rotation with the sun, the mass of the earth is small compared to that of the sun while the distance is a rather large value, therefore such large masses over such great distance would have exetremely small impact by such a minute change in values.

Cturtle, are you by chance my Astronomy Professor?
Probably unlikely, but I feel a similar degree of confusion.

One other 'what if' that I thought I would add is: your location (specifically elevation) is a deciding factor in your location when you land. Because the higher you get in elevation, the less force required to jump, so you theoretically jump higher and leave ground for a longer period of time. So when you land, the change might be significant.

Perhaps I didn't make it clear but I separated the events to try to clarify them by separating them. No, I am not a profeeor or anything, I never finished college (couldn't get past the English requirements). But I like science and physics so I stuied them.
In theory it doesn't matter if you are talking about jumping up & down or walking up a flight of stair or mountain. The principle remians constant, although the relative values may change.
The principle changes when you move into the area of earth orbit. Then in theory our exploration of space does tend to change the earth's orbit but because the relative mass removed from the earth is not significant, we presume that the effect isn't. In that reguard the addditional hydrocarbons and other pollutents addded to the atmosphere by our actions have more significant impact.

Wouldn't the force just be absorbed by compressing the soil beneath your feet at some point between you and the centre?

Or bond breaking spread out across a huge space?

Unless you were on a planet made out of some kind of invincible super-material.

Absolutely compression is a factor, just as the bending knees and compreesion of spinal cord would absorb energy.
If you think jumping has an effect? Wonder what happens everytime we rain bombs on our enemies?
Let alone atomic & nuclear test we've done, no wonder the earth's weathers changed, we changed our orbit?
Not as a down but man has a knack for ignoring the obvious Ignorance of His Own Actions, then cries about having to suffer the Consequences of them.