Re:Japan starts space elevator experiments
by schiffern on Monday September 03, 2018 @12:59PM
(#17903621)
>the angular velocity of the Earth about the Sun doesn't change.
It does if your spaceship escapes from Earth in a prograde[1] direction (equivalent to Earth throwing a ball forward, causing a retrograde reaction upon the Earth). This type of escape trajectory is necessary to reach any destination farther from the Sun (Mars, asteroids, etc). It's a tiny change obviously, but it's non-zero.
Note that returning from Mars/asteroids and aerobraking should add angular momentum, speeding up the Earth and at least partly counteracting this effect.
[1] https://en.wikipedia.org/wiki/Retrograde_and_prograde_motion
Re:Japan starts space elevator experiments
by leereeves on Tuesday September 04, 2018 @11:48AM
(#17909852)
You're right, the portion of a rocket's exhaust that is recaptured by the Earth would raise or lower the angular velocity a bit, depending on direction, and gravity between the Earth and the spacecraft would have a tiny effect in the opposite direction.
Those are separate from the disconnect I was talking about; I meant a gentle disconnect after which the spacecraft remains in orbit.
When the payload detaches from the elevator, the angular momentum of the Earth about the sun does decrease (some of the AM goes with the payload) but the mass of the Earth also decreases, and the angular velocity of the Earth about the Sun doesn't change.