I don't know how to figure out the new elliptical orbit;
the reason why it develops is that if you just slow down the capsule,
it no longer has enough centrifugal force to balance the gravitational force,
so it must fall ... but it doesn't just fall straight down, it falls while moving forward.
I think if the delta-V happened VERY VERY slowly, the orbit would remain
nearly circular. So the eccentricity of the new orbit must in some way
involve the short time that the thrusters were slowing it down.
My only real contribution is: the "perigee" is the point where the
capsule is nearest the earth. Probably at one end of the ellipse, since
it's likely that the center of the earth is at one focus of the ellipse.
mostly a holdover from the days when we used to trust NASA. it was inconceivable that a private company could launch a 'Vulture 1' and compete with the US government.
now, its not so certain. both the dragon and k-1 look viable, and the current space program needs them... but i want to withhold judgement until i see either docking at the ISS.
Bigelow is working on inflatable structures to build a private space station. But he is contracting with others, including Space-X, to launch his modules.
Armadillo Aerospace is still working on their vehicles but they are not even ready for suborbital flights yet, and don't seem like they will be any time soon. They would not be SSTO anyway.
When is the first flight of the "SpaceX Dragon SpaceCraft" going to be?
You missed the first launch which happened December 8th, 2010. http://en.wikipedia.org/wiki/COTS_Demo_Flight_1
Although I think you mean the next one that is scheduled to go to the ISS. That's scheduled for May 19th, 2012 (with a backup date of May 22nd). http://en.wikipedia.org/wiki/COTS_Demo_Flight_2