B What limits a rocket's max speed if in space drag is zero?

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A rocket's maximum speed in space is limited by the amount of fuel it can carry and the energy required for acceleration, rather than drag, which is negligible. While a rocket can continue to accelerate as long as it has fuel, relativistic effects become significant at high speeds, asymptotically approaching the speed of light. The rocket equation illustrates that the effective speed is constrained by the mass of the propellant relative to the rocket's total mass. Practical engineering challenges, such as fuel capacity and the need for radiation shielding, also impact achievable speeds. Ultimately, without infinite thrust or fuel, rockets cannot reach speeds close to light speed in realistic scenarios.
  • #61
I thought I saw the Space Ex mars trip had a new projected 64 k mph trip speed with using refilled space ex fuel tanks in space, reducing the trip time from 9 months to 3 months. If you have 3,6,9 refueled rocket tanks in space traveling at 17,000 miles per hour does that not increase the projected spacecraft speed. Using multiple launches to increase the potential fuel in space? Possibly, launching a small nuclear engine to send a cell phone sized probe on top to increase final speed and find and send back earth like planet information? To see if an earth like planet is worthy of more inspection. The question is what is the most efficient burn rate for maximum velocity for fuel mass.
Santa Susana Brat.
 
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  • #62
Santa Susana Brat said:
I thought I saw
This is a science forum. That "reference" is about as useful as "I heard some guy on a bus say that ... ".

We have no way of knowing whether
  • You remember something that is true
  • You "remember" something incorrectly
  • You were misinformed
  • etc
 
  • #63
Thought we were having a open and explorory conversation about science so, after reading 3 pages of old rocket formulas form the 50’s. But according to NASA the estimated speed on the Mars mission is 24,600 miles per hour or 39,600 kph. This is down from 9 months estimated trip time to 7 months. Yet Space Ex estimated Mars trip speed is 62,700 miles per hour or 3 months trip time. That’s three times your current thinking. What is the differance of the two Mars mission speed and time estimates does anyone know? Could it be outside of the box engineering, earth based launches vs. one spaced based refueled tanks with relaunchable rocket launches. After reading three pages on rocket formulas to find a max cheminical rocket volicity the answer was depends! But I did see it, did you?
Santa Sunansa Brat
 
  • #64
Santa Susana Brat said:
Yet Space Ex estimated Mars trip speed is 62,700 miles per hour or 3 months trip time.
Please cite the specific reference where SpaceX states this.
 
  • #65
Santa Susana Brat said:
Thought we were having a open and explorory conversation about science so, after reading 3 pages of old rocket formulas form the 50’s. But according to NASA the estimated speed on the Mars mission is 24,600 miles per hour or 39,600 kph. This is down from 9 months estimated trip time to 7 months. Yet Space Ex estimated Mars trip speed is 62,700 miles per hour or 3 months trip time. That’s three times your current thinking. What is the differance of the two Mars mission speed and time estimates does anyone know? Could it be outside of the box engineering, earth based launches vs. one spaced based refueled tanks with relaunchable rocket launches. After reading three pages on rocket formulas to find a max cheminical rocket volicity the answer was depends! But I did see it, did you?
Santa Sunansa Brat
As others have said, it's difficult to comment on numbers that may or may not be accurately remembered from a source that may or may not be authoritative. And there's also the question of speed relative to what - Earth, Mars or the Sun. All three references are reasonable and will all give different speeds, and if the sources are using different references they could be talking about similar trips in different terms. That's why we ask for references.

Extra fuel allows you to burn for longer which does let you get there faster, yes. That comes at a greater cost and a brutal law of diminishing returns - simply doubling your fuel comes nowhere near doubling your peak speed. Better propellant (one with a higher specific impulse) would help, but I've no idea what the mission planners are thinking on that.

You certainly could partially construct a vessel in orbit, at least in principle. That might give you more flexibility in design, but it likely comes at a cost in reliability because it's yet another new technology that you'd want to test thoroughly. I doubt it does anything revolutionary to your fuel efficiency.
 
  • #66
PeterDonis said:
And tiny accelerations are possible--just not easy with current technology and nobody seems to be investing much in making it better.

Ion drives, for example, are an obvious technology to pursue for putting out a small but consistent acceleration over an extended period of time in vacuum. There just doesn't seem to be any real investment in pursuing them. At some point that will likely change.
Plenty of real spacecraft use ion drives, including SpaceX's Starlink satellites which are a majority of spacecraft in Space right now. NASA's Psyche spacecraft is using them, as is the mission the UAE is designing to go to the asteroid belt.

An ion drive doesn't really change the fundamental problem; they manage to throw their fuel out the back faster, so less fuel gets you more delta-V, but at best you're really only increasing the specific impulse by an order of magnitude (often less)
 
  • #67
ketoenol said:
Plenty of real spacecraft use ion drives
Only for station keeping, though, correct? In other words, the ion drive will do an occasional short acceleration to correct orbital parameters. It won't be running continuously for a long period of time. The latter usage, for example to make interplanetary trips in significantly shorter times than by current free-fall orbit methods, is what I was talking about.

ketoenol said:
An ion drive doesn't really change the fundamental problem
It doesn't change the rocket equation, of course. But it does potentially offer a way of providing a small but constant acceleration over a long period of time, something which is not possible with chemical rockets.
 
  • #68
PeterDonis said:
Only for station keeping, though, correct? In other words, the ion drive will do an occasional short acceleration to correct orbital parameters. It won't be running continuously for a long period of time. The latter usage, for example to make interplanetary trips in significantly shorter times than by current free-fall orbit methods, is what I was talking about.
I would say using ion thrusters only for station keeping is actually the rarer use case. The Starlink ion thrusters are used to raise the orbits from the initial low insertion orbit to their final operational orbit, so they are firing continuously for weeks or months slowly gaining speed. The interplanetary spacecraft that have them are absolutely using them long-term, slowly gaining speed. The Wikipedia page for the Dawn spacecraft has a good image showing this; they're not operated absolutely continuously, but they are operated for large chunks of the time, very different than traditional spacecraft trajectory maneuvers.

1748757361792.webp
 
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  • #69
ketoenol said:
the Dawn spacecraft
Yes, you're right, that's a good example of a long term constant thrust use of ion drives, but it's very small--a dry mass of 747 kg according to the Wikipedia page you referred to [1].

The real breakthrough will be using such a drive for a craft large enough to carry humans. For example, the dry mass of the Apollo CSM was about 12,000 kg.

[1] https://en.wikipedia.org/wiki/Dawn_(spacecraft)
 

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