simonshack wrote:Caption: "Astrounaut James Van Hoften repairing the
LEASAT F3" :
http://www.astronautix.com/craft/syncom.htmNow, the SYNCOM Wiki page tells us that these LEASAT barrels weighed
"1.3 tonnes each (over 7 tonnes with launch fuel)." So...we are actually asked to believe that : NASA dropped that thing off at about 400km altitude. It failed to ignite. They later docked with it again with another Space Shuttle, got it fixed, than got it fired up in mid-air - and remotely steered/navigated/and braked it - all the way up into a 35,678km orbit. How do they do it? My head hurts!
I warmly welcome any (
possibly sensible) clarifications from any rocket scientist on board - thank you very much!
Simon,
I am not really rocket scientist, but will do my best. Well, what do hurt your head?
1) That a barrel was dropped at 400 km above the Earth surface and didn't fall during some years? But the Earth itself didn't fall to the Sun. By the same reason: its velocity is too high to let it fall (
http://en.wikipedia.org/wiki/Orbital_speed).
2) It failed to start (not completely ignite). It happens, I believe.
3) Later, another shuttle came, James Van Hoften stepped out and fixed the satellite. The credibility depends on the problem fixed. Repairing an engine in such conditions seems pure fantastic. But to hook up a cable (accessible from exterior) or to lift away some forgotten cap -- why not?
4) ...got it fired up in mid-air... There is no air there. The barrel rotated around the Earth at the orbital speed. The engine was started. The barrel started lifting up. No non-sense.
5) remotely steered/navigated/and braked it - all the way up into a 35,678km orbit. AFAIK, no one claim to having remotely navigated this craft in manual mode in real time. This might be done by an automatic control system.
6) Or the number of (35,678 - 400) = 35 278 km seems too big? But at such altitude, the drag force is near zero. At the orbital velocity, you can apply tiniest force and go very far: nothing stops you. This is very unlike our everyday experience where there are always a lot of dissipative forces (friction, drag etc.)
7) Maybe you agree that 35,678 km is accessible, but suspect that the ascension must take millenniums? Let's recall that the barrel had (7-1.3) = 5.7 tonnes of fuel that was completely ejected -- right to speed up first and then brake down 1.3 tonnes of material. By the law of conservation of linear of momentum, roughly speaking, having ejected 3.5 tonnes with the velocity v and weighting yourself 3.5 tonnes, you fly with v the in opposite direction. Then, you can slow down the same way.
In fact, the mass varies as the fuel goes away and this happens not instantly. So we face the differential equation (by I. Meshchersky,
http://www.encyclopedia.com/doc/1G2-2830902925.html). Solved by Tsiolkovsky (
http://en.wikipedia.org/wiki/Tsiolkovsk ... t_equation) more than a century ago. I don't know in what exact time the satellite is said to be lifted to the geostationary orbit and what are the official performances of its propulsion system (first of all -- the speed of ejected gas). But if you find some sources -- you can explicitly check it with well known physics formulas.