Perigee in a sentence as a noun

Then at perigee you burn to raise your apogee out to the altitude you want.

Rather, they kept burning at perigee until they escaped earth.

Ok, I think it is more like ... Mar 1993, Dec 2008, Nov 2016 ... mark the "local minima" if you plot month over month distance of the moon at perigee.

Only if you want to circularize at perigee would you need to slow down, which would indeed be extremely wasteful.

So perigee burns can only raise apogee and apogee burns can only raise perigee.

To raise perigee in the most efficient manner, you accelerate prograde at apogee.

Because their thrust was relatively limited, they made several short burns at perigee to raise their apogee in successive stages.

My orbital mechanics are rusty, but it seems to me that since you need to lift the perigee from Earth's surface to Mars orbit, you'll pass the circular orbit on the way.

Minor correction, the apogee and perigee are not equal to the semimajor and minor axes because the Earth is in a focus of the ellipse.

Perhaps only in specific timed cases, sort of during an orbit apogee or perigee or whatever, just to make them a bit less effective or durable?

Standard orbital astromechanics apply: to circularize, thrust at apogee to raise your perigee.

As the pilot approach the perigee of the orbit, the cinematographic tense scene panes to the pilot's face as the ship slows to the escape velocity in the upper atmosphere.

It does not really help to go to an orbit with a low apogee, with the ultimate goal of raising apogee!You might use a sun slingshot by lowering your perigee but your apogee would still be at earth orbit.

For example, a good way to circularise an orbit from an elliptical, a small tangential thrust at apogee during each orbit would eventually place the spacecraft in a circular orbit with a radius roughly equal to the apogee distance of the elliptical orbit... or to say it another way, perigee would increase until it equalled apogee...Anyway, the point being that I never would have understood any of this no matter how many times I read 2010, until I wrote that little game.

Perigee definitions

noun

periapsis in Earth orbit; the point in its orbit where a satellite is nearest to the Earth