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Gravity satellite feels the force

Discussion in 'Fred's House of Pancakes' started by qbee42, Apr 7, 2009.

  1. qbee42

    qbee42 My other car is a boat

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    BBC NEWS | Science & Environment | Gravity satellite feels the force

    Edit: This satellite uses a cool little ion engine, which is mentioned in the BBC article.

    Tom
     
  2. Stev0

    Stev0 Honorary Hong Kong Cavalier

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    But Gravity is just a theory!
     
  3. amm0bob

    amm0bob Permanently Junior...

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    Ummmm NO...

    Gravity IS a LAW.

    The theory was proved to be correct for mass...

    Now what we're trying to do is tie gravity in with the other physical laws for a UNIFIED THEORY of everything...

    Gravity is the real problem with this so far, but I think once we get a better handle on the "missing particles" and why acceleration is occurring instead of the big crunch, we'll be closer to being able to tying everything together into one equation.
     
  4. qbee42

    qbee42 My other car is a boat

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    The obvious solution is to repeal the law of gravity. After that, unifying the fields should be easy.

    Tom
     
  5. eagle33199

    eagle33199 Platinum Member

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    I have a fraternity brother who worked on a similar Ion engine design, only much, much bigger - it was going to be outfitted onto a NASA probe to Jupiter's moons, but the mission got scrubbed before they could build it. stupid funding.
     
  6. hyo silver

    hyo silver Awaaaaay

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    Speaking of satellites, I'd be interested in hearing your thoughts on a geostationary satellite with a tether, also known as a 'space elevator'. Are we close to having a strong enough 'rope'?
     
  7. amm0bob

    amm0bob Permanently Junior...

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    The carbon nanotube stuff hasn't been cultured to any usable lengths yet as far as I had heard... but I remember reading somewhere they have increased the size by a factor of 50.

    The problem being currently discussed in some detail is the weight of the line, and the atmospheric/tidal currents moving the line.

    It's a great concept... but I don't really think it is doable in todays technological condition... there needs to be another breakthrough in manufacturing for the cable.
     
  8. eagle33199

    eagle33199 Platinum Member

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    I agree with Amm0bob here... it's a great idea, but in the end probably not all that doable with today's technology. Think about what they had to go through to keep this satellite up, and it's just skimming through the atmosphere. Now imagine miles and miles of rope being blown around attached to it. Not to mention that the satellite would need to provide enough upward force (a constantly firing engine) to counteract the weight of the rope AND of whatever was riding up it.
     
  9. qbee42

    qbee42 My other car is a boat

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    A space elevator is not "just skimming through the atmosphere". To be geostationary, the satellite's center of mass has to be around 26,000 miles above the center of the earth. No engine is needed to "provide enough upward force (a constantly firing engine) to counteract the weight of the rope AND of whatever was riding up it." The satellite stays in place for the same reason that all satellites stay in orbit, without the need for upward firing thrusters. The mass of the cable and the mass of the satellite collectively have a center of mass at the geostationary point. That's all there is too it.

    The weight of the load riding up the cable is offset by a counterweight above the satellite. As the load is raised, the counterweight is reeled in toward the satellite. This keeps the collective center of mass at the geostationary point, without requiring the use of thrusters.

    As with all geostationary satellites, some use of thrusters or gyros is required to keep the satellite in position. The earth's gravitational pull is not uniform, and geostationary satellites tend to librate around gravitational minimums. Thrusters and gyroscopes are needed to compensate for this and other orbital disturbances.

    Getting back to the original question, materials scientists are finally engineering fibers strong enough to make a space elevator cable. While close to being strong enough, at present the factor for safety is too low. In addition, there is presently no method for manufacturing the long continuous fibers necessary for this type of application. I think the day is coming, but it's still a ways off - decades, not years.

    Tom
     
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  10. eagle33199

    eagle33199 Platinum Member

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    Well, i certainly learned a thing or two there :) so if you pull in a weight to counteract the mass moving up the line, you have to use thrusters to send the weight back out when the mass moves down, right?
     
  11. jayman

    jayman Senior Member

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    The science fiction of Arthur C Clarke (Fountains of Paradise) specifically dealt with space "elevators." Like a lot of SF from Clarke, it will probably be a reality - eventually

    Jerry Pournelle and Larry Niven have had similar ideas. A short story by Hans Moravec (Cable Cars in the Sky) actually had the math worked out, for stable points, needed material strength, etc.

    Just as supersonic flight was considered "impossible" until proper materials and engineering could be applied, I have no doubt a synchronous skyhook will eventually be developed
     
  12. jayman

    jayman Senior Member

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    No, you don't. Hans Moravec figured out most of the math, actually a Soviet era guy by the name of Y.N. Artsutanov had it figured out, Moravec had the good common sense to actually *read* the original Russian and properly translate it

    A lot of good engineering was wrapped up in early science fiction. The classic "20,000 leagues under the Sea" was laughed at when first translated into English. Many errors were made translating French, and also between the metric system and the Imperial system of measurement.

    Correctly translated, "20,000 Leagues" is very much good engineering with the math correct

    Anyway, a space elevator

    The ballast would have to be about 150,000 km from the center of the earth. That is a LONG cable!. Assuming such a cable could be made that is many, many times stronger than carbon fiber, orbital centrifugal force would keep constant tension on the cable through the ballast

    It's assumed some sort of solar power system is in use to power the "cab" upwards until it reaches the synchronous point. Beyond the synchronous point, some sort of braking system (Eg, magnetic with feedback to the cable, like recovering energy during Prius braking) is also assumed to be employed.

    By playing around with ballasts at the opposite end, it's assumed the entire cab trip could be powered by earth's angular momentum, with only small applications of power to start and then eventually stop the cab.

    As the ballast is beyond the synchronous point, just releasing it the ballast will run back out along the cable. Again, with some sort of regenerative braking system (Oddly enough, only briefly covered in the original works), most of this energy is captured for later use

    The actual math is a bit scary to those who aren't very good in calculus. To summarize: if the cable had to be made from present high strength steel, it would have to be 10 to the 50th bigger in the middle than at the taper, and it would weigh 10 to the 52nd what it could support

    At that point, the original author made a comment about claims from other scientists who claimed the "impossibility" of such a system, using just steel cable. The author pointed out that rocket flight into orbit would likewise be impossible if we depended on coal fired, steam powered rockets, as it would weigh 100 billion times as much as its payload in order to achieve escape velocity

    If the cable system were made from kevlar, it would be 10 to the 10th bigger in the middle, and would weigh 10 to the 13th what it could safely carry. Much better than steel, but still clearly impractical

    There is much technical discussion of single crystal graphite whiskers, with a taper of only 10:1, and a mass ratio of only 400:1. That already is well within the realm of being doable

    One neat thing about the synchronous cab system - if it ever becomes a reality - is that it solves many problems with launching vehicles and payloads out of earth's gravity well. At the very end of the ballast, the orbital velocity is about 10 km/sec, so a payload released from there would easily achieve a Hohmann minimum energy trajectory to reach most points within our own system
     
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  13. qbee42

    qbee42 My other car is a boat

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    You don't need thrusters, just a winch. Here is how it works:

    The whole cable/elevator system rotates with the same angular velocity. If it didn't, the cable would wind itself up onto the earth like a power cord from a vacuum sweeper. The angular velocity of the system is the same as the earth's rotation, which is why it stays in one place. The key to keeping the system up is to have its center of mass at or above the level necessary for geostationary orbits.

    Let's back up a minute and look at orbital mechanics. When a satellite orbits the earth, the satellite is in free fall. It is dropping like a stone. The only thing that keeps it in orbit is that as it falls, it is also moving forward, and the earth curves away underneath. It is much like ski jumping, where a jumper falls from the top of a hill, but the ground drops away as he falls. In the case of the satellite, the satellite keeps falling, but the earth keeps curving away. At orbital speed the earth curves away at exactly the same rate that the satellite falls. The satellite falls but ends up at the same height, it falls some more but is still at the same height, and on and on.

    So what happens when a satellite flies a little slower? It falls and the earth curves away, but not enough. The satellite ends up lower. Here is where it gets interesting: when the satellite gets lower, it goes around the earth faster. This is because a lower orbit has a smaller circle around the earth. It's just like the inside lane on a race track. So now we have two things working against each other: 1) When a satellite slows down, its orbit drops; and 2) When a satellite's orbit drops, it goes around the earth faster. The faster it goes around the earth, the faster the earth falls away.

    As a satellite, when you reduce speed, your orbit drops, but only to the point where the increased angular velocity compensates for it. The converse is also true: when you increase speed your orbit raises to the point where decreased angular velocity compensates. Stating this as a list of simple orbital rules:

    1) If you increase your speed, your orbit raises, but you go around the earth more slowly (even though you are going faster, the circle around the earth is larger to the extent that it wins over the increased speed).

    2) If you decrease your speed, your orbit drops, but you go around the earth faster.

    This brings up one of the funny things about orbital mechanics: if you are chasing another object in orbit and you want to catch it, you slow down, not speed up. But I digress.

    Getting back to keeping our elevator in space, we need to have the center of mass at or above the level required for geostationary orbits. Normally you want the center of mass a tiny bit above that orbit level. With the center of mass above the orbit level, the elevator system is orbiting faster than necessary to stay at that level. This means it will exert tension on the cable, trying to pull itself up to a higher level. Usually we want a little tension, just to keep the cable tight.

    Now for the counterweight. The counterweight is orbiting above the center of mass. Since it is moving with the same angular velocity as the rest of the system, its speed is larger than necessary to maintain orbit. It wants to go higher, and pulls on the cable. To let it go out, all one has to do is let it pull out some cable. To get it back, you winch it in.

    It's really pretty simple.

    Tom
     
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  14. qbee42

    qbee42 My other car is a boat

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    Think of it as an old fashioned slingshot of the David and Goliath variety.

    Tom
     
  15. hyo silver

    hyo silver Awaaaaay

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    This is fascinating. Is it too late to be an engineer? :)

    I remember being introduced to the wonderful worlds of Arthur C Clarke as a little kid when my parents took me to see 2001. I had to explain the ending to my Mom, who just didn't get where the floating baby came from. That one afternoon matinee sparked a lifelong interest in science fiction, and I devoured everything I could find. The librarian thought I was such a good kid for bringing home all those books for my Dad, and wondered how he had time to read them all. :rolleyes:

    The space elevator idea came many books later, but I loved it instantly. The math was beyond me, I'm sure, and it took awhile to realise how something could stay so far up there without moving. And all these decades later, it's still not built! Bucky Fuller was another childhood hero, so it seems highly appropriate to me for his new form of carbon to be the tether. He invented a damn fine map, too, which is inexplicably little-known, but should be the only one used.

    Well, enough babbling. Here's another question from a still-boyish imagination that should probably know better, but doesn't. How about using a bicycle to get up and down the cable? They're light weight, very efficient, and the 'passenger' comes with its own energy storage. Sure, the oxygen tanks will be heavy, and the gearing range will be kinda funky to accommodate the varying payload, but....OK, be nice. Once you've stopped laughing at the image of astronauts in tights, you can tell me why it won't work.
     
  16. qbee42

    qbee42 My other car is a boat

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    Oh no! Darrelldd in space spandex. Oh the horror. :D

    It would work if you have a lot of oxygen and a lot of time. It's a fairly long climb. When was the last time you went for a 20,000 mile bike ride. That distance straight up is even harder, although it would get easier as you got higher.

    Tom
     
  17. hyo silver

    hyo silver Awaaaaay

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    Well, yeah, it would take a month or two. But other than that, the mechanics might be feasible? Far out. A wing suit could make the trip home a little faster. ;)
     
  18. Trollbait

    Trollbait It's a D&D thing

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    I think the only issue with bike idea is the distance involved. Plus, at the bottom, where you are still under the sway of earth's gravity, you would be peddling up a verticle hill.
     
  19. hyo silver

    hyo silver Awaaaaay

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    The first leg, in the thickness of the atmosphere and the greatest gravity, would be the most difficult. But for most of the way, there'd be zero air friction, which takes about 90% of a cyclist's energy at higher speeds on Earth. The velocities attained could be considerable, even pedalling, and strong braking could well test the limits of the cable. An unintentional 'launch' due to a snapped cable could ruin your whole day. :rolleyes:

    What power systems and energy sources are being considered now?
     
  20. jayman

    jayman Senior Member

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    No, you need a wench

    Oh, wait a minute ... wrong thread. Never mind. Oh great, I spilled my stirrers all over the floor ... grumble grumble