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Von-Braunian space stations: what orbit?

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Steve Mazerski - 30 Aug 2003 17:22 GMT
I have grown up thinking some day there will be large
orbital space stations of the type suggested by von Braun
serving as staging points for journeys to the moon and points
beyond, similar to the moon trip in the first part of "2001".

Having recently acquired an interest in the physics of such things,
but without the benefit of deep theoretical knowledge in the
area, what would be the likely orbit of such a station?

(If I was asked this question in an exam, I would hazard
a guess at quite high up - certainly above the ISS, and at
quite a high orbital speed, say a little less than escape
velocity, which would save energy for the vehicles doing
the Moon leg of the trip; Earth-orbital shuttles would
require more energy to get up to the station though).

S.Mazerski
Jim McCauley - 01 Sep 2003 23:11 GMT
> (If I was asked this question in an exam, I would hazard
> a guess at quite high up - certainly above the ISS, and at
> quite a high orbital speed, say a little less than escape
> velocity, which would save energy for the vehicles doing
> the Moon leg of the trip; Earth-orbital shuttles would
> require more energy to get up to the station though).

I'm no celestial mechanics wizard either, but the higher the orbit, the
_lower_ the velocity.  Escape velocity from the Earth's surface is 11.3
km/sec; it's less from a satellite in high orbit.  But then, you've expended
the energy to get to the satellite, yes?

Basically, _any_ stop along the way from the surface of the Earth to the
Moon (or anywhere else) costs delta-vee.  The only reason to circularize an
orbit to match a satellite would be some indispensable logistics: somehow,
there was something needed at the station that was worth the expense of
rendezvous.  Von Braun et al saw space stations as something analogous to
cache-camps in mountain climbing.

While I understand the importance of the Apollo "two rendezvous" strategy
(one in Earth orbit and the other in lunar orbit; the idea was to stretch
launch-landing windows to practical scales), I'm not entirely sure that I
buy the idea of space stations as cache-camps unless the volume of travel is
large enough to pay back the capital and energy costs.

Jim McCauley
Henry Spencer - 04 Sep 2003 04:44 GMT
>Basically, _any_ stop along the way from the surface of the Earth to the
>Moon (or anywhere else) costs delta-vee.

Correct.  However, the added cost of stopping in LEO is quite small, and
the opportunity to switch to specialized in-space propulsion systems (e.g.
ion drives), plus the opportunity to do final payload assembly and
checkout *after* the noise and vibration of launch, are worth it.
Signature

MOST launched 1015 EDT 30 June, separated 1046,         | Henry Spencer
first ground-station pass 1651, all nominal!            | henry@spsystems.net

Joseph S. Powell, III - 04 Sep 2003 21:50 GMT
> > (If I was asked this question in an exam, I would hazard
> > a guess at quite high up - certainly above the ISS, and at
[quoted text clipped - 22 lines]
>
> Jim McCauley

Well, you could have Lunar shuttles that would shuttle from the Moon to the
space station, as in 2001: A Space Odyssey.
That way, the TSTO shuttle would only have to take you to and from the Earth
and the station.
An added benefit of a rotating station would be space tourism, not to
mention weather observation, as shown in those old issues of Collier's
magazine (that last part was a joke of course - I thought those parts of the
illustrations were pretty amusing, given the advent of weather sattelites
and the ability to monitor the weather via sattelite pictures over the
internet..)
Steen Eiler Jørgensen - 02 Sep 2003 12:10 GMT
> I have grown up thinking some day there will be large
> orbital space stations of the type suggested by von Braun
> serving as staging points for journeys to the moon and points
> beyond, similar to the moon trip in the first part of "2001".

So did I. But after reading some litterature and playing around with
some formulas, I would say that it's quite improbable that such stations
will ever come into existence.

> Having recently acquired an interest in the physics of such things,
> but without the benefit of deep theoretical knowledge in the
> area, what would be the likely orbit of such a station?

1. Not too high, since it should be possible for small
surface-to-LEO-ships to go there,
2. Not too low, since large structures have significant atmospheric
drag.

..maybe around 6-7-800 km.

> (If I was asked this question in an exam, I would hazard
> a guess at quite high up - certainly above the ISS, and at
> quite a high orbital speed, say a little less than escape
> velocity, which would save energy for the vehicles doing
> the Moon leg of the trip; Earth-orbital shuttles would
> require more energy to get up to the station though).

You don't want to place structures to be permanently manned higher than
about 1000-1500 km due to the van Allen belts.

Note that, in a circular orbit, the escape velocity is always sqrt(2)
times the orbital velocity. Since orbital velocity drops as the orbit
gets higher, so does the delta-v required to leave Earth orbit.

Since the Moon is in Earth orbit, technically, you don't need to leave
Earth orbit to go there.

But, basically, you don't need to change spaceships halfway. It will
only make space travel more complicated and expensive. So interplanetary
transit space stations will probably never be a reality.

Signature

Steen Eiler Jørgensen
"No, I don't think I'll ever get over Macho Grande.
Those wounds run...pretty deep."

Vincent Cate - 02 Sep 2003 18:18 GMT
Von Braun had his orbiting at 1075 miles.  This seems to have been
chosen because it gives a 2 hour orbit.  See "Across the Space
Frontier", 1952.  However, he picked this before the discovery of the
Van Allen Belts
in Jan of 1958.  We now know this is not a good place to stay.

I like the idea of a hotel/space-station at GEO.  With this a rotating
space tether in LEO could pickup a payload from a suborbital rocket
and toss it on a GTO every 90 minutes.  At the GEO station another
tether would catch the payload.  The GEO station could collect
things for about 2 weeks and then do a few big tosses to the Moon
so they would get there when the Moon was crossing the orbital plane
of the GEO station.  Another tether around the Moon lowers payloads
and lifts rocks to balance the traffic.

The mass of the hotel/station at GEO gives you a big ballast to work
with for your GEO station tether tosses.

  -- Vince

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Vincent Cate                           Space Tether Enthusiast
vince@offshore.ai                      http://spacetethers.com/
Anguilla, East Caribbean               http://offshore.ai/vince
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

You have to take life as it happens, but you should try to make it
happen the way you want to take it.    - German Proverb
Henry Spencer - 02 Sep 2003 23:32 GMT
>I have grown up thinking some day there will be large
>orbital space stations of the type suggested by von Braun
>serving as staging points...
>...what would be the likely orbit of such a station?

There are about two good places to put such a station:  in a low Earth
orbit, and at some very high location in the Earth-Moon system.

The low station is the clear first priority.  It's the changeover point
between launch vehicles optimized for coping with Earth's gravity and
atmosphere, and orbital-transfer vehicles optimized for operation in orbit
only.

The right place to put it is an equatorial orbit as low above the
atmosphere as reasonably feasible.  The equatorial orbit requires an
equatorial launch base, but gives you one launch window per orbit instead
of only one or two per day, and reduces radiation dose.  The low altitude
is so the launch vehicles don't have to waste fuel and other resources
doubling as orbital-transfer vehicles (although tugs based at the station
could go down to meet them instead).

Just what "reasonably feasible" is, depends on how you do the tradeoffs.
Arguably ISS is too high, incurring unnecessarily high radiation dose and
fuel costs.  Arguably it is too low, requiring too much reboosting against
air drag.  The choice may be influenced by what reboost technology you
use, and whether you are interested in an option of operating unmanned at
times (as opposed to always having a maintenance crew on hand, to fix
things promptly when they break).  Certainly the number is hundreds of
kilometers, not thousands.

The high station is the assembly point for deep-space operations, and a
halo orbit around the Earth-Sun L1 point is a possible location for it.

It's just possible that it might be worth having a third "transfer"
station in an equatorial elliptical orbit.  Its perigee is at the orbit of
the low station, and its apogee is above most or all of the Van Allen
belts; the orbital period would be chosen to be a multiple of the low
station's, so at perigee it encounters the low station.  The transfer
station has modest "hotel" facilities, but is mostly a great big hangar
with thick shielded walls.  Its purpose is to carry payloads -- notably
people and electronics -- through the belts.  This lets you put that heavy
shielding into that belt-crossing orbit *once*, instead of requiring every
payload to carry its own.
Signature

MOST launched 1015 EDT 30 June, separated 1046,         | Henry Spencer
first ground-station pass 1651, all nominal!            | henry@spsystems.net

Martha H Adams - 17 Sep 2003 16:39 GMT
I wonder if the orbital inclination of the current space station was
meant to make the station useless for space exploration and
settlement?  There has to be some reason why real exploration was
killed and we are seeing this make-work imitation going on rather than
the progressive accomplishment we really need.  But that's another
topic.

If the station were placed for practical purposes, its orbital plane
would want to be very near the solar system ecliptic.  And it's
obviously not.  So I really don't see how you would launch from the
space station into transit to Mars or even to Luna, without having to
spend serious extra delta v just to get your orbit pointed in the
right direction.

For which reason, I favor low earth orbit (we can do that right away
and radiation problems are less) with an orbital plane near the solar
system  ecliptic.

Cheers -- Martha Adams
Geoffrey A. Landis - 18 Sep 2003 15:25 GMT
> I wonder if the orbital inclination of the current space station was
> meant to make the station useless for space exploration and
> settlement?  

No.  It was put in the orbit its in to make it possible for the Russians
to reach it launching from Kazakhstan.  The orbit has disadvantages in
launch payload from low-latitude sites; it has some nice advantages in
terms of Earth surface visibility, however.  For the stated purposes of
the space station, biological and microgravity science, it's not a major
issue either way

> There has to be some reason why real exploration was
> killed and we are seeing this make-work imitation going on rather than
> the progressive accomplishment we really need.  But that's another
> topic.

It's probably a topic for sci.space.politics, not .tech, but the short
answer is, no directive from Congress.  

> If the station were placed for practical purposes,

[read: practical for use as a waypoint for solar-system exploration]

> its orbital plane would want to be very near the solar system ecliptic.  

You can't put a space station into solar ecliptic low-earth orbit-- or,
you could, but it wouldn't stay in that plane.  

The Earth's spin axis is inclined 23.45 degrees from the ecliptic.  Due
to oblateness, orbits precess about 7 degrees per day, and they precess
ABOUT THE EARTH's SPIN AXIS.  So an initially-ecliptic orbit must be 23.
45 degrees inclination relative to the equator, and the equator is 23.45
degrees inclined to the ecliptic.  So the orbit will vary from +46.9
degrees tilt from the ecliptic, to zero tilt, with a complex motion with
one period around seven weeks and the second period around one year (
that is, combining the Earth's tilt with the orbital inclination motion).  
http://www.ae.utexas.edu/design/mission_planning/mission_resources/
mission_planning/Intro_to_Mission_Planning.pdf

(Even if you could get into a 23.45 inclination orbit from the Cape,
which is difficult to start with.)

> And it's
> obviously not.  So I really don't see how you would launch from the
> space station into transit to Mars or even to Luna, without having to
> spend serious extra delta v just to get your orbit pointed in the
> right direction.

There are some tricks.

> For which reason, I favor low earth orbit (we can do that right away
> and radiation problems are less) with an orbital plane near the solar
> system  ecliptic.

As mentioned, such orbit does not exist.

Signature

Geoffrey A. Landis
http://www.sff.net/people/geoffrey.landis

Martha H Adams - 19 Sep 2003 17:53 GMT
Hi, Geoffrey.  *Thanks* for useful numbers and logic input needed
here.  Cheers -- Martha Adams
Penguinista - 18 Sep 2003 17:35 GMT
> I wonder if the orbital inclination of the current space station was
> meant to make the station useless for space exploration and
[quoted text clipped - 15 lines]
>
> Cheers -- Martha Adams

The given reason for ISS's orbital inclination is so russian launches
can better reach it.  The station is not designed to facilitate EOR for
outbound flights, but as a manned workshop in orbit.
Heinrich Zinndorf-Linker - 23 Sep 2003 07:32 GMT
Am Wed, 17 Sep 2003 15:39:19 +0000 (UTC) schrieb "Martha H Adams":

>If the station were placed for practical purposes, its orbital plane
>would want to be very near the solar system ecliptic.  And it's
>obviously not.  So I really don't see how you would launch from the
>space station into transit to Mars or even to Luna, without having to
>spend serious extra delta v just to get your orbit pointed in the
>right direction.

Please try to think three-dimensional.

You do NOT need to fly through the solar system's 'flat' plane. It
would make sense, if you wanted to reach some special spot in our
solar system, and want to fly-by some other objects, that are in the
same general direction without the necessity of spending much extra
fuel for changing direction in-flight.

In practise you have only to reach your first target, and then [if
it's large enough] use gravitational effects for accelerating, slowing
down, changing track direction and more - simply by _using_ the
gravitational pull 'for free'. Any planet (and many moons) in our
solar system should be large enough for this - or have already proved
to be appropriate...

cu, ZiLi aka HKZL (Heinrich Zinndorf-Linker)
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Steen Eiler Jørgensen - 03 Sep 2003 21:06 GMT
> I have grown up thinking some day there will be large
> orbital space stations of the type suggested by von Braun
> serving as staging points for journeys to the moon and points
> beyond, similar to the moon trip in the first part of "2001".

So did I. But after reading some litterature and playing around with some
formulas, I would say that it's quite improbable that such stations will
ever come into existence.

> Having recently acquired an interest in the physics of such things,
> but without the benefit of deep theoretical knowledge in the
> area, what would be the likely orbit of such a station?

1. Not too high, since it should be possible for small surface-to-LEO-ships
to go there,

2. Not too low, since large structures have significant atmospheric drag.

..maybe around 6-7-800 km.

> (If I was asked this question in an exam, I would hazard
> a guess at quite high up - certainly above the ISS, and at
> quite a high orbital speed, say a little less than escape
> velocity, which would save energy for the vehicles doing
> the Moon leg of the trip; Earth-orbital shuttles would
> require more energy to get up to the station though).

You don't want to place structures to be permanently manned higher than
about 1000-1500 km due to the van Allen belts.

Note that, in a circular orbit, the escape velocity is always sqrt(2) times
the orbital velocity. Since orbital velocity drops as the orbit gets higher,
so does the delta-v required to leave Earth orbit.

Since the Moon is in Earth orbit, technically, you don't need to leave Earth
orbit to go there.

But, basically, you don't need to change spaceships halfway. It will only
make space travel more complicated and expensive. So interplanetary transit
space stations will probably never be a reality.

--
Steen Eiler Jørgensen
"No, I don't think I'll ever get over Macho Grande.
Those wounds run...pretty deep."
 
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