Originally Posted by
grahamlthompson:
“It's not Counter-intiuitive
A stable orbit balances the orbiting objects desire to follow a straight line (and vanish into space
) and the Earths gravitational field trying to pull the object straight down. The closer you get to the Earths centre the sronger the force of gravity the faster it needs to move to balance the gravity force.”
The confusion here is that there is a difference between the required velocity for a stable circular orbit, and what must happen to change between stable circular orbits.
Yes, a lower stable orbit requires more speed (is faster) than a higher stable orbit.
However to increase altitude you MUST increase velocity.
The reason this sounds like they are mutually exclusive is because orbits are elliptical. You don't just change between two stable (nearly) circular orbits with one velocity change.
To go from a lower to a higher you must increase velocity, this makes the orbit more eccentric, more elliptical. The closest part of the new elliptical orbit, is at the point where the velocity change happens, the furthest part is half an orbit later.
I.e., If the satellite completes an entire orbit the in the new eccentric orbit, it will be at the same altitude of the old (nearly) circular orbit from which it started. However it will be at a much higher altitude half an orbit later (as the earth is not at the center of an elliptical orbit, but is offset). As the satellite moves further away from the earth it will slow down (so here we see where the figures you linked to show that higher orbits are slower), and as it falls back closer to earth it speeds back up to the higher velocity that a lower orbit needs. Just like a child on a swing, faster at the bottom, slower at the top. See Keplers second law.
To change to a new stable, higher, (nearly) circular orbit, another velocity change is require when the satellite is at the required altitude. This causes the satellite to remain at the higher altitude and the orbit is no longer highly elliptical but once again nearly circular.
To put it another way, if the moon changed velocity suddenly to zero, i.e., it stopped moving along it's orbit, would it drift off into space or would it hit the Earth?
Obviously it would hit the Earth as it is in the gravity well of the Earth, but it would fall faster and faster as it did so. So if we instead slowed down the moon a bit (but not so much that it would hit the earth), it would instead be in a more elliptical orbit, it would accelerate and be moving faster as it got closer to the earth and would decelerate and be moving slower as it got back up to the original altitude again.
The child on the swing must put more effort in to go higher, not less. We must put energy in to climb out of the Earths gravity well.
So slowing down does not increase altitude, it changes the orbit, but it does not allow you go higher.
Have a read up on the Hohmann transfer orbit.
Also, if you're interested, "Fundamentals of Astrodynamics" (isbn 0-486-60061-0) is a very interesting, if somewhat maths intensive read. If you haven't studied maths/physics to at least A-Level I wouldn't recommend it, but if you have it's enlightening.
SgtWilko