How hard is space travel, in principle?
michaelnielsen.org
michaelnielsen.org
The problem is moving people in space. Space is the ultimate desert. People need all kinds of supplies to stay alive and healthy (air, water, food, gravity, etc). They also need to be shielded from cosmic rays and solar events.
I've said it before and I'll say it again: I doubt large numbers of biological humans will ever participate in interplanetary travel. I bet brain-in-vat or uploading technology will show up before payload costs get low enough for average people to buy tickets to Mars. A brain in a vat doesn't need gravity or exercise or space to roam around in. It needs less food and water than a full human body, and it can be shielded easily.
Even at that, the Milky Way alone is 100k light years in diameter.
Travel costs for brains in vats are significantly reduced. Not only is travel cheaper monetarily, but the experience of travel can be completely hidden. Instead of sitting in a seat and looking out a window, you could spend your time in a VR world or interact via robots. The only reason you would want to stay in one place is to interact with the nearby environment at low latency.
In the end, uploads are the way to go. You can run them faster and travel cost is just data transfer cost.
So the next revolution in space exploration would have to tackle the data problem; optical or near-optical lasers for transmitters and standard photosensors (CCD) for receivers. It is technically possible to use off-the-shelf components, the remaining difficulty being the beam aiming system.
Essentially, your fuel mass requirements increase exponentially as you need more delta-v. It's very much harder to get into orbit than to stay sub-orbital. And you will need a significant amount of fuel left over if you wish to orbit or land at your destination. You can mitigate that with atmospheric aerobraking, but that's not possible on, say, the Moon.
I was actually expecting some analysis on interstellar space travel. But you can find an entertaining attempt at this by Charles Stross: http://www.antipope.org/charlie/blog-static/2007/06/the_high...
Of course, any real propulsion mechanism is going to require a lot more energy than that but that actually sounds reasonably achievable - at least if we allow Orion style ships.
For me space travel involves humans in space and that's really difficult. Think about being in a little bubble of air surrounded by hard vacuum that would kill you in seconds. Plus the cold/radiation/general plumbing problems. Space travel is really hard.
Which would mean the fuel needed is quadratic in the GPE needed, which would put Saturn right back up there at ~100 times harder to reach than the moon (ignoring constants).
Yes this is where theory != practice, and why in fact, it's incredibly difficult and expensive to get somewhere like Mars.
What about time, and provisions for life support during that time? What about launch windows, in terms of the amount of waiting time required before a return trip and the difficulties of a rescue mission?
Others have already mentioned that the amount of fuel/weight you need is worse than linearly proportional to the energy required.
http://www.amazon.com/Millennial-Project-Colonizing-Galaxy-E...
The book does a nice job of capturing all the hard engineering problems. His proposed solutions are interesting but a bit superficial.
-- Yogi Berra.