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#101 Re: Interplanetary transportation » Aldrin's Cyclers » 2005-04-04 00:17:34

Hop

Since any "Cycler" would probably have to have a nuclear power source anyway I think an array of ion drives or a medium sized VASIMIR should be attached in order to maintain a reasonably high Delta-V during transit and also for any required trajectory shaping that might be required. When the cycle arrived in the vicinity of mars a landing module with an Aeroshell could be employed so that it could either aerobrake into orbit or into a direct decent trajectory. The same mathod could be used as the cycle approached earth and in that way the cycler never bleeds off all that much energy as it interacts between the gravity fields of either Earth or Mars.

Charles

Trajectory shaping will be required.

Aldrin (and Niehoff) cyclers exploit the fact that 15 earth years is very nearly 8 Mars years. But "very nearly" isn't the same as "exactly" so the cycler will drift from the rendesvous points as time goes on. This can be corrected by rotating the line of apsides. Which makes it necessary to change trajectory.

If a cycler can rotate its line of apsides with only planetary gravity assists, then it's known as a "ballistic cycler". But even ballistic cyclers need to shape their trajectory to pass within the correct distance of the planet to turn the line of apsides by the desired angle. So a cycler _will_ need some way to change velocity whether it's ballistic or not.

The Aldrin cyclers are not ballistic. They'll need heavy duty burns to rotate their line of apsides even with planetary gravity assists.

I believe the Niehoff cyclers (1.5 year and 1.25 year orbits) are ballistic. These orbits are much closer to the minimum energy Hohmann transfer orbit than is the 2+ year orbit of the Aldrin cycler. Consequently they pass by Mars and Earth much slower than Aldrin cyclers (this is much nicer for the cycler to planet taxis, also). With a lower Vinfinity, the hyperbola's turning angle can be greater (the turning angle can be controlled by how far the hyperbola's periapsis is from the planet).

BWhite mentions the use of tethers to impart momentum to taxis. I've played around with cycler mass-drivers to help send the taxis on their way. Either of these would change the cycler's momentum and make course correction necessary as White notes.

Ion engines may be a good way to do this. The continuous thrust trajectories are not the conics I've become accustomed to, so, sorry, I can't do the math on those.

#102 Re: Interplanetary transportation » Deimos and Mars synchronous satellites » 2005-04-03 22:15:05

Hop

I believe that Mars synchronous satellites will be very useful just as they are on earth. Communication, global positioning, and bean stalks are some possibilities.

A mining and manufacturing colony on Deimos would be in a very good position to make and launch Mars synchronous satellites.

Delta vee from Deimos to transfer: .0802 km/sec
Delta vee to circularize at end of transfer: .0491
For a total of only .1293 km/sec.

btw I've made some updates to my Hohmann spreadsheet.
It now includes apoapsis velocities of elliptical parking orbits as well as velocity of circular orbit at that altitude.

I got tired of looking up different altitudes and sometimes would mistakenly put in distance from planet center instead of altitude (they differ by planet's radius). So I put a table of often used altitudes near the cells were apo and periapsis are entered. The table includes altitudes of Phobos, Mars synchronous orbit, Deimos and others.  If you set your Mars parking orbit periapsis at Mars synchronous altitude and apoapsis at Deimos' altitude, Voila! you have a transfer orbit from Mars synchronous to Deimos.

Most of the sheet is protected so I won't inadvertently overwrite an important cell. But often would turn protection off to do calculations on the side. So I put in unprotected scratch pad areas. They're colored blue and to the right of the departure and destination planet info.

The new and hopefully improved sheet can be downloaded at
http://clowder.net/hop/railroad/Hohmann … ohmann.xls

#103 Re: Interplanetary transportation » Moon resonant orbits » 2005-04-03 21:03:27

Hop

It takes much less delta vee to capture incoming cargo to a long elliptical orbit than it takes to capture to a circular orbit. If the apogee is high enough, the perigee velocity is darn near escape velocity.

For capture the apogee needs to be within Earth's sphere of influence (SOI) which is about 922000 km altitude. But the apogee also needs to be low enough to avoid having the orbit destroyed by lunar perturbations. I've seen 1/2 lunar distance (LD) suggested for maximum apogee.

I don't like this limitation. Perhaps there are stable moon resonant orbits with higher apogees. The Hilda asteroids are in stable orbits resonant with Jupiter and Pluto is in a stable orbit resonant with Neptune. (Although some resonant orbits are decidedly unstable as evidenced by the Kirkwood gaps in the asteroid belt and also the gaps in Saturn's rings)

Here is a moon resonant orbit I like a lot but don't know if it's stable or unstable:
Period: 1/3 moon's period (about 9 days)
perigee: 300 km altitude
apogee: 356544 km altitude

The apogee would come close to the L3, L4 and L5 points, cycling through all three over a lunar period. So it could be a ferry between LEO and high orbital colonies. Fuel would be saved if radiation shielding, air, water, etc. don't need to be boosted each trip through the Van Allen belt.

But here's the best part: Capturing cargo and passengers incoming from Mars to this orbit at perigee would take only .49 km/sec delta vee. Ditto for sending stuff to Mars.

If near earth asteroids are mined for volatiles, metals, etc., these would be a good place to send these resources since they could be captured at perigee with relatively little delta vee.

If they served the L3, L4 and L5 points as I mentioned earlier, there could be three of them, spaced 120 degrees apart. So there are more launch windows.

But I don't known how stable this orbit it. If it's one of the decidedly unstable resonant orbits, then station keeping might well be too expensive. But I'm hoping it's a stable resonant orbit.

#104 Re: Interplanetary transportation » Mars Dogleg - Phobos refueling station » 2005-04-02 14:16:25

Hop

trans-Earth injection from Mars: Dec. 1, 2015
delta vee 12.134 km/sec
Earth arrival: 1 April 2016 (122 days in transit)
delta vee 27.295 km/sec
Here's a pic
http://clowder.net/hop/etc./RobS.jpg]ht … ./RobS.jpg

r1 is position vector of departure point and r2 is position vector of destination point. c is vector from r1 to r2. These 3 are sides of a Lambert Space Triangle.

Given a certain time between departure and destination, there are usually two elliptical paths that pass through departure and destination points.

My more elaborate model for Earth and Mars orbits is a 1000 sided polygon where each vertice has (x,y,z,t) coordinates. Each orbit must start at time of perihelion.

I was able to find departure and arrival points close to the dates you mentioned. This particular spreadsheet uses AU and years most of the time.

I pasted these coordinates in a lambtrans spreadsheet.
http://clowder.net/hop/etc./lambtrans.x … btrans.xls
The magnitude of the delta v vectors in kilometers/sec are over on the right hand side (column AG), ignor rows 14, 17, 20, 23.

Some of the delta vees are quite high.

This ugly spreadsheet is still a beta version, so don't take it as the gospel truth.

#105 Re: Interplanetary transportation » Mars Dogleg - Phobos refueling station » 2005-03-31 18:23:20

Hop

Well, when you do, let me know! If you'd like to experiment with some times and dates, I can offer some.

I'd like to take a shot at it (am not guaranteeing delivery though). Offer away.

#106 Re: Terraformation » Asteroids' Contributions » 2005-03-31 15:29:04

Hop

When you want to make a colony the best source of gases and ices is the outer solar system, the best source of metals is the asteroid belt. Colonys in the main belt mine metal and eport to the outer solar system and import ices and gasa form the outer planets. I think that would be a good model for a economy in outerspace.

There are a good batch of short period comets with approximately 5 AU aphelions. It's my opinion these were dislodged from Jupiter's Trojan points.

At this point we know very little about the make up of Trojan, Main Belt, or even Near Earth asteroids.

It's way too early to write off the main belt or Trojans as volatile sources.

Not only are gas giant icey moons far from Mars in Sol's gravity well, but they're on the slopes of gas giant gravity wells as well as being at the bottom of respectable moon gravity wells. The delta vee requirements are a lot higher.

Some have called 4 A.U. "The Edge of Sunlight". Past this point solar energy is less usable as an energy source. The main belt is within this edge. The Trojans not far past. Very low mass parabolic mirrors made of aluminum coated mylar can float near an asteroid to better exploit solar energy.

Terraforming Mars could be a large part of the Main Belt economy. The colonies might set MADMEN on neighboring bodies to send them towards Mars space.
http://www.space.com/businesstechnology … ...19.html

Asteroids, especially Near Earth asteroids and Main Belt are extremely valuable resources if we're to colonize the solar system. We shouldn't let planetary chauvinism blind us to their potential.

#107 Re: Terraformation » Comet Crashing » 2005-03-31 13:45:57

Hop

There are several large comet like bodies orbiting between Uranus and Neptune. Timing one to collide with another comet, in a momentum nulling way could create an ocean of cleaning fluids.

Most of the Centaur orbits are prograde. Crashing two prograde orbits wouldn't shed much angular momentum. If you were able to shed 3 km/sec or so via collision, I don't think you'd have an ocean of cleaning fluid but a cloud. With much of the gas molecules/plasma atoms having velocity greater than the small cometary body's escape velocity.

If you can get a body from this region to Mars, it'll be moving about 10 km/sec on arrival.

Trip times would be 30 years or so.

High velocity impacts could well blast loose more Martian atmosphere than the impactor contributes.

Why do people keep suggesting KBOs, Centaurs or comets? There are likely icey bodies at Jupiter's L4 and L5 points as well as the outer Main Belt. Since these are closer to Mars in Sol's gravity well, the delta vees are smaller.

#108 Re: Interplanetary transportation » Mars Dogleg - Phobos refueling station » 2005-03-31 12:58:48

Hop

There is a section in Prussing and Conway's "Orbital Mechanics" (An excellent book!) on Lambert space triangles.

I am hoping it will enable me to find delta vees if I have space-time coordinates of departure and destination points from two orbits.

Sadly, I don't yet grok this chapter.

#109 Re: Interplanetary transportation » Mars Dogleg - Phobos refueling station » 2005-03-30 15:08:35

Hop

Rob,

The Delta-Vs come from my Hohmann Excel spreadsheet
http://www.clowder.net/hop/railroad/Hoh … ohmann.xls
The periapsis and apoapsis cells are treated as distance above planet's surface. So if you get Phobos or Deimos distance from Mars center (for example) be sure to subtract Mars' radius to get altitude.

This version doesn't include elliptical apoapsis velocity or circular orbit velocity at apoapsis. I hope to upload an updated, improved sheet soon.

The spreadsheet assumes coplanar, circular orbits which isn't too bad an approximation except for Pluto, which is why Pluto's excluded.

#110 Re: Interplanetary transportation » Mars Dogleg - Phobos refueling station » 2005-03-29 19:35:57

Hop

Deimos requires a smaller delta-v to enter a transfer orbit, but a larger circularization delta-v (0.7 km/sec).

Hmmm with a 300 km periapsis and a 20092 apoapsis, I get 1.02 km/sec to enter Deimos transfer and .65 km/sec to circuralize at apoapsis, for a total of 1.67 km/sec.

Entering circular orbit directly at periapsis takes 1.92 km/sec. For Deimos, an intermediate elliptical transfer saves delta-v even without aerobraking.

#111 Re: Interplanetary transportation » Mars Dogleg - Phobos refueling station » 2005-03-29 19:25:17

Hop

1. Enter a Phobos transfer orbit, which would require a delta-v of 1.4 km/sec if one approached Mars on a Hohmann trajectory or about 2 km/sec if approaching Mars on a six-month trajectory. If one used aerobraking, the entire delta-v could be done without fuel.

2. Circularize your orbit at apoapsis (the altitude of Phobos) which requires a delta-v of 0.5 km/sec.

Let's see, if periapsis is 300 km above Mars surface and apoapsis 5981 km, I get 1.42 km/sec to shed enough velocity for Phobos transfer and about .52 km/sec to circularize orbit at Phobos (pretty close to your figures). A total of 1.94 km/sec.

However if I set periapsis at 5981 km, a single burn to circularize takes about 1.88 km/sec.

I think the only advantage of entering an elliptical rather than a circular orbit in this case is delta vee savings from aerobraking.

#112 Re: Interplanetary transportation » Aldrin's Cyclers » 2005-03-28 18:04:10

Hop

One thing that worries me about Aldrin's Cyclers is the abort mode for the Taxi's if they miss their redevous.  Most designs I have seen call for dispisable high energy chemical stages to reach the necessary delta-V to catchup up to the cycler.  But what if for some reason they miss, it's not exactly an easy operation by any means.  The taxi may lack the means to return their crew to Earth or even Earth orbit.

It's even scarier for the Mars taxi trip. The Aldrin path is almost 90 degrees to the Martian path. The delta vee between Mars and castle is 12 km/sec. So if you don't make it to Mars, you're up the creek with no paddle. This is my major objection to the Aldrin cyclers. Other cyclers have much nicer delta vees.

#113 Re: Terraformation » Asteroids' Contributions » 2005-03-28 17:54:16

Hop

If I remember right, Kim Stanley Robinson terraforms his Mars with KBOs. To send bodies at 40 AU to Mars you'd need 3.4 km/sec. Velocity on reaching Low Mars Orbit is 10.5 km/sec sad. It would take about 47 years for a KBO to fall to Mars from a 40 A.U. orbit. Getting to KBOs would be very hard. We still haven't sent a Discovery mission to Pluto so far as I know.

#114 Re: Terraformation » Asteroids' Contributions » 2005-03-28 17:45:52

Hop

Another possibility is the outer Main belt. There is a healthy population at 3.15 AU and these also may be volatile rich.

Delta vee to send it to Mars is 3.23 km/sec. Velocity at arrival in Low Mars Orbit is 6.2 km/sec. The atmosphere would need to shed 1.4 km/sec or more to capture the asteroid to an elliptical orbit.

The synodic period is 2.83 years, but I don't think you'd need to wait that often to send asteroids Mars way since these asteroids are scattered in a ring about the sun. These take about 1.8 years to fall to Mars from their 3.15 AU orbit.

#115 Re: Terraformation » Asteroids' Contributions » 2005-03-28 17:26:43

Hop

I would use the asteroids at Jupiter-Sun L4 and L5 points (aka Trojans)

These are far enough from the sun to be ice rich.

Delta vee to send them on a Hohmann journey to Mars is 4.27 km/sec. Likely the asteroid's own resources can provide fuel and reaction mass.

When a Trojan arrives in Low Mars Orbit, it is traveling 7.6 km/sec. If Mars' atmosphere sheds 2.8 km/sec or more, the body is captured into  elliptical orbit. Then each periapsis the body would again graze the atmosphere, gradually losing angular momentum Until finally the Trojan penetrates the Martian atmosphere one last time at about 3.5 km/sec.

For one body of Trojans, Hohmann windows occur each 2.24 years. But Mars could receive Trojans twice as often since there are two populations (the leading and trailing or L4 and L5). It takes a Trojan about 3.1 years to fall to Mars from it's original 5.2 AU orbit.

#116 Re: Interplanetary transportation » Aldrin's Cyclers » 2005-03-28 16:50:34

Hop

If it's like the Aldrin cyclers I've seen, it's an ellipse, not a figure eight. Habs capable of keeping passengers healthy for seven months are large and expensive. It's hard to lift these out of earth's (or Mars') gravity well. With Aldrin's proposal these large habs (which Aldrin and Oberg call castles) fly by Earth or Mars each synodic period (about 2 1/7 years) and large habs don't need to be lifted from planetary gravity wells each trip.
Smaller crafter (Oberg and Aldrin call these taxis) ferry passengers from castles to planet. These Taxi could be much smaller since they only need sustain passengers for a few weeks instead of seven months.

There are other possible cyclers besides Aldrin's. If there's an interest I will talk about these.

#117 Re: Interplanetary transportation » Mass Drivers » 2004-12-23 13:39:55

Hop

Sunlight is available somewhere on the moon all the time and a simple circumfrential power grid will allow power to be deployed anywhere its required.

NEO asteroids are easier to get to than the Moon and Mars and it makes sense to get rid of these just so they no longer pose a threat to the Earth. The problem is though its these asteroids composition that makes them less valuable tending to be stony rather than the metal rich or carbaceous chondrites we really would prefer.

But pholtovoltaics will only power as long as they point to there power source the sun. This is not really a quarantee as they roll. Unlike the easy computations that tell us where lunar mass driver material will go to.

A simple circumfrential power grid would be a huge structure especially about the equator and lower latitudes. And, unless your lines are superconductors, you wouldn't be able to send power much past the terminator. Line loss is a pain in the butt for power providers.

The composition of most NEOs remains unknown. It is thought most are recent arrivals from the Main belt or the Kuiper Belt thrown down into the inner system by perturbations from Jupiter or Neptune. One asteroid, 1979 VA is an extinct comet. 1979 VA is actually a rediscovery of the Wilson-Harrington comet. As comets outgas, it's believed their surface becomes a thicker and thicker mantle of insulating dust. So the extinct comets are thought to have volatile ices beneath their insulating mantles.

An example of a carbonaceous NEO is 1998 KY26
http://antwrp.gsfc.nasa.gov/apod/ap0209 … 20919.html

Since their composition remains largely unknown, I advocate a series of Discovery missions to the most easily accessible NEOs. If the probes are mass produced and miniaturized (like SMART-1), the unit cost per asteroid prospector probe might be quite low. Gathering an inventory of available NEO resources would be well worth the investment, in my opinion.

Some NEOs tumble chaoticly (Toutatis for example) Putting Photovoltaics (or even landing) on such may be a problem. But many may spin about a single axis (like the earth or moon). In such cases it'd be possible to put a rotating photovoltaic array on ball bearings on the north and south poles of the asteroid. You could also put arrays in close orbit about the asteroid and send power to rectennas on the asteroid's surface.

#118 Re: Interplanetary transportation » Mass Drivers » 2004-12-18 02:35:05

Hop

The main asteroid belt is between Mars and Jupiter. At that distance the effectiveness of solar power is much reduced. This is not the case on the Moon where it is possible to make easily made solar cells which though only about 5% minimum effectiveness provide a lot of power.

This constant power is the lifeblood of Mass drivers and it makes them cheap, especially as the solar cells made on the Moon come from easily collectable silicon and are radiation hardened naturally and easy to make.

The main belt asteroids probably won't be exploited for a long time. Near Earth Asteroids are another story. Most of them enjoy much more sunlight than the main belt. Strategically place photovoltaics could provide an asteroid with power 24/7.

Sunlight is less available on the moon because of the 14 day night.

#119 Re: Interplanetary transportation » Earth to LEO - discuss » 2004-12-17 01:29:42

Hop

My hobbyhorse: The maglev tracked launch up the mountain to 20,,000 feet and Mach 0.9, is not at all trivial since it eliminates that huge first stage, entirely. Two stages to orbit, and by refueling, a vertical return at geostationary re-entry velocity.

Yeah! I'd like to see one on Mount Chimborazo, Ecuador. By the time you fire your rocket engines, you'd already be going mach .9 and be above much of the troposphere.

And at the equator you're already going .5 km/sec

#120 Re: Interplanetary transportation » Orbital mechanics » 2004-12-17 01:10:26

Hop

In the a few recent posts there has been some discussion (http://www.newmars.com/cgi-bin/ikonboar … 292;p=42]3) of the delta-v required to go to mars for various transit times. Until I work out the details my self, the numbers only mean so much to me. Thus, this thread is created to discuss the principles of http://www.braeunig.us/space/orbmech.htm#intro]orbital mechanics. I can only spend so much time learning this because I should be doing reading that is more relevant to my masters (My thesis will probably be a servo motor control system). My ultimate goal with this thread is to learn enough about orbital mechanics so that I can implement a model predictive control space flight system in http://www.mathworks.com/]MATLAB. If I construct such a control system I can then begin simulating various flight systems to see how quickly they can travel to mars and how robust they are to error. One step at a time.

John,

An excellent textbook is _Orbital Mechanics_ by John E. Prussing and Bruce A. Conway. Of particular interest is chapter 4 Lambert's Problem. In this chapter on page 62 is "Transfer Orbits Between Specified Points" and on page 75 "The Terminal Velocity Vectors"

I've made an excel spreadsheet that approximates Mars, Earth and an asteroid orbit of your choice. The elliptical orbits are approximated with 2000 sided polygons. The polygon approximations are rotated into place by a matrices made from orbital elements. Each vertice has time as well as spatial coordinates. Velocity vectors at each vertice are calculated.

If you like, I could send you this spreadsheet. But be forewarned it's 3 megabytes.

#121 Re: Interplanetary transportation » Any Asteroids in the asteroid belt made of rocket » 2004-12-17 00:38:36

Hop

I agree with you Euler. But accidents do happen. But In this case it should be pretty much ruled out. IMO.

It is tempting to bring asteroids close to Earth. The deeper into the gravity well you go, the more the Oberth effect can be exploited and the more delta vee is saved. Also aerobraking is a good source of delta vee.

My suggestion has been to set a ceiling on the size of imports to cislunar space. Some believe Tunguska was about 100 meters in diameter. Maybe a 50 meter diameter would be a good ceiling.

#122 Re: Interplanetary transportation » Any Asteroids in the asteroid belt made of rocket » 2004-12-17 00:31:34

Hop

Is it not a bit like the chicken and the egg? You need fuel to send a rocket to capture the asteroid, then fuel to return it to orbit [...]

Graeme

You could land nuclear or solar powered mass drivers on the asteroid. Since the mass drivers are hurling asteroidal material, the asteroid provides it's own reaction mass.
Here is one such proposal:
http://www.cnn.com/2004/TECH/space/05/1 … oid.eater/

#123 Re: Interplanetary transportation » Why not a cycler? » 2004-12-17 00:21:03

Hop

Let me make a slight correction here. For a 3/2 period you could use the same vehicle both ways. However, on the outgoing flight it would take you 1.5/2 years and the return flight would take you 4.5/2 years. That is quite a while to be on a space craft. However, perhaps this could be reasonable if a smaller crew went on the return flight. The would need less rations and could perform some maintenance.  So you would have two flight options the quick flight and the slow economy class. However is someone is going to be in orbit for 4.5/2 years the cycler will need artificial gravity and more shielding. On the plus side this will make the fast flights that much better. I think the people on the slow flight might be put to work processing asteroids for science and industry.

I have been fired up about the 1.5 year cyclers for some time (aka the Niehoff VISIT 2 cycler). You are reaching the same conclusions I have that it could visit both Earth and Mars repeatedly. As you note, the delta vee isn't much more than Hohmann transfer orbit.

If the cycler is an asteroid nudged into the cycler orbit, folks on this slow flight could indeed be put to work for science and industry. It's believed asteroids and comets are much less changed since the solar system's formation than planet surfaces. They are of great scientific interest. Also many have very pure metals and some have water and carbon compounds.

#124 Re: Interplanetary transportation » Mass Drivers » 2004-12-17 00:05:29

Hop

The Moon unlike most asteroids has an abundance of the most important ingredient that a Mass driver requires in this case, power. Of course we could use Mass drivers to redirect an asteroid into a better orbit for us to use its materials. But then we have the potential for serious political problems and a security nightmare.

What power source does the moon have that asteroids lack?

#125 Re: Unmanned probes » Carbon and Asteroid Prospectors - Economical Production in Space » 2004-11-27 01:33:32

Hop

More:

http://www.geocities.com/zlipanov/selec … ...26.html

Look at that map! Land on 1998 KY26 and hop off closer to Mars!

Cool!

There is a problem though: Not only does the asteroid have to be at the right place, it must at the right place at the right time.

There are cycler orbits that regularly fly both Earth and Mars. Buzz Aldrin has designed one that passes by both Earth and Mars each synodic period (about 2 & 1/7 years). The "castle" would be be well stocked with radiation shielding, food, air (maybe even self sustaining closed ecology life support systems). Then when the castle is in the neighborhood of either Earth or Mars a much less massive "taxi" can be sent to the planet (or from the planet to the castle). However Aldrin cyclers demand a lot of delta vee from their taxis since it passes Mars with a relative velocity of about 12 km a second.

Then there are two types of cyclers that pass by the planets somewhat less frequently but still regularly. Niehoff VISIT 3  passes by the earth every 3 years and Mars every 7.5 years. Niehoff VISIT 1 earth every 5 years and Mars 3.75 years.

I talk about nudging asteroids into Niehoff cycler orbits on this page:
http://www.clowder.net/hop/railroad/sch … sched.html

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