A Self-Reproducing Interstellar Probe

Robert A. Freitas Jr.

100 Buckingham Drive, No. 253, Santa Clara, California 95051, USA.
Journal of the British Interplanetary Society, Vol. 33, pp. 251-264 1980.

Note: This web version is derived from an earlier draft of the paper and may possibly differ in some substantial aspects from the final published paper.


Bracewell [1, 2] and Freitas [3] have discussed the possible superiority of interstellar probes in missions of galactic exploration and recently Calder [4] and Boyce [5] have raised the issue of self-organizing machines in related contexts. In this paper a preliminary sketch of a self-reproducing starprobe is presented, with generation time ~103 years given a ~ 10-fold improvement in current human space/manufacturing technology.

 

1. INTRODUCTION

The first serious proposal to use material space probes for interstellar exploration is properly credited to Bracewell [1,6]. According to his calculations, if the Galaxy is heavily populated with extraterrestrial civilizations (~10 light-years average separation then it makes sense to communicate using radio waves. if the Galaxy is only very thinly populated (~1000 light-years separation) communication is virtually impossible because of time lag and acquisition difficulties. However, if the Milky Way is populated at some intermediate level (~100 light%ears separation) then the best way to explore and contact other races is by automated messenger probe.

In the classical "Bracewell probe" contact scenario [2, 7], the automated device enters our Solar System, detects radio emissions of an unnatural character emanating from Earth, and subsequently positions itself in some convenient parking orbit around our planet. Upon receiving some arbitrary human transmission, the intelligent probe beams an identical copy of the message back to the transmitter site in hopes of gaining our attention. Once accomplished, language lessons soon follow; hopefully, meaningful discourse and cultural exchange between humanity and the automated alien ambassador ultimately take place.

Project Daedalus, a preliminary design study of a flyby probe mission to Barnard's star recently completed by members of the British Interplanetary Society [8], has demonstrated the feasibility of this approach to interstellar exploration and communication using foreseeable human technology sometime in the next century. The automated probe strategy has received further support from Freitas [3], who shows that transmission of information across interstellar distances using energy-markers (photons) or matter-markers (probes) may be energetically and alternatives for highly developed technological civilizations Only such advanced societies realistically can afford either radio beacons or starprobes, and secondary distinguishability criteria suggest the possible superiority of intel ligent automata for contact and communication missions between extraterrestrial civilizations. The search for alien space artifacts in our own Solar System has already begun [9].

A major alternative to both the Daedalus flyby and "Bracewell probe" orbiter is the concept of the self -reproducing starprobe. Replicating spacefaring machines recently have received a cursory examination by Calder [4] and Boyce [5], I but the basic feasibility of this approach has never been seriously considered despite its tremendous potential. In theory, each self -reproducing device dispatched by the launching society would become an independent agent, slowly scouting the Galaxy for evidence of life, intelligence and civilization. While such machines might be costlier to design and construct, given sufficient time a relatively few replicating starprobes could search the entire Milky Way.

The present paper addresses the plausibility of self-reproducing starprobes and the basic parameters of feasibility. A subsequent paper [10] compares reproductive and nonreproductive probe search strategies for missions of interstellar and galactic exploration.

 

2. THEORY OF SELF-REPRODUCING AUTOMATA

There is little disagreement among cyberneticians that full machine self -reproduction is possible in principle. Quite a number of techniques have been explored by modern theoreticians; however, it was von Neumann [11]-[12] who first investigated several different models of automata replication.

The simplest of these schemes is usually called the "tessellation model." Space is divided into cubical cells, and each part of the machine and each piece of raw material from which it constructs itself occupies exactly one cell. All processes are quantized in time as well as space - activity occurs in step with regular clock cycles. In the tessellation model examined by von Neumann, space becomes two-dimensional for simplicity, with the machine occupying a connected set of squares. Each square is in one of a specified set of states. The machine is surrounded by inert squares which it must organize into an exact duplicate of itself.

Von Neumann's simplest example calls for a box consisting of 80x400 contiguous cells plus a long linear "tail" of coded instructions 150,000 squares in length. The box consists of a specific arrangement of three kinds of parts - neurons, transmission cells, and muscle cells - and performs two primary functions. First, it follows the instructions encoded in the tail, in sequence. Second, it copies the tail, which contains a coded description of a tailless box. Reproduction is complete when the box organizes the inert units around it into a copy of the tailless box, then copies its own tail and attaches this to the second box.

The second von Neumann scheme, commonly known as the "kinematic model," is somewhat more abstract and generalized. It involves the activity of a Universal Turing Machine, a device designed conceptually by Turing [13] which is able to process any specific algorithm. Since -its output is pure information, von Neumann conceived of a Universal Automaton capable of building material objects using any specific construction algorithm.

Imagine three Universal Automatons A, B, and C. If the description of A is fed into B, the output of B is the behaviour of A. If the behaviour of A is the construction of C then the output of B is the machine C. But if C is identical to B, then B is producing copies of itself - in essence, it is reproducing. Of course, for B to function properly it must have access to a stockroom well supplied with all component parts necessary to build each Universal Automaton.

It may be argued that the above is merely a design for a general purpose assembler robot, whose output happens to be copies of itself. This may be true, but still the process is properly termed "self -reproduction." Given access to the proper environment, B can indeed replicate itself. This is not cheating, for human beings also must have access to a very specialized environment in order to reproduce - a chemical "stockroom" full of air, water, and food containing assorted proteins, fats, carbohydrates, vitamins, minerals, and so forth. Lifeforms, like Universal 'Automatons, cannot produce order out of complete chaos. Rather, each can only transform more simply organized matter into more complexly organized matter.

An example of a modern approach is given by Laing [14] who has investigated two machine reproduction schemes involving complete self -inspection. In the first version the original machine is visualized as a one-dimensional string of components consisting of a constructor sequence (initially active) and a sequence containing the instructions to build an analyzer (initially passive). The constructor operates on the passive set and builds a working analyzer which, acting independently, produces a complete description of the original machine. Using this description, the original constructor builds an exact duplicate of the original machine, and reproduction is complete. In the second version the original machine consists of two parallel strings, each containing a working constructor and analyzer. The first string to be activated analyzes its passive partner and reconstructs a copy of it; the second string is next activated, resulting in a copy of the first. Thus the system has reproduced itself without recourse to an external self -description.

Much has appeared in the literature affirming the possibility of automata replication and development [15-27]. Computer programs and numerical patterns that reproduce themselves have been created [28-29] and several simple but ingenious physical machines capable of self-reproduction in specialized favourable environments have already been designed, constructed, and successfully operated by Penrose [30-32], Jacobson [33] and Morowitz [34]. Other machines have been built over the years which demonstrate the ability to feed, metabolize, learn, respond to stimuli, recognize the self, and move about in physical space with goal-oriented behaviour [35-38]. Surprisingly, many of these devices are quite modest in complexity, sometimes requiring as few as 30 bits [39] for complete physical description.

A sophisticated self -reproducing starprobe must be able to function in highly generalized environments. It will not be able to pick up its parts (or bits of structural information) "free" from the environment, hence it must carry with it much more descriptive data than any replicating machine built to date. But there is little doubt that such a machine can, in theory, be designed.

 

3. MISSION PROFILE

The self -reproducing probe (REPRO) presented in this paper is intended primarily as a simple demonstration that such a thing is plausible. It is not a set of blueprints for the construction of a replicating starprobe. The basic design for REPRO closely follows the general plan of the Daedalus starship vehicle created by the BIS study group mentioned earlier.

REPRO is designed from the payload up. To contain the necessary reproductive equipment the payload of the original Daedalus probe was approximately doubled, causing the vehicle mass to increase from 5.45x107 kg to 1.07x108 kg. While Daedalus is a flyby mission, REPRO must slow to a halt in the target solar system so that reproductive activities may commence. The double-Daedalus configuration must be used to decelerate the 106 kg payload from interstellar cruise velocity down to parking orbit velocity. Hence, to accelerate double-Daedalus up to interstellar cruise velocity will require a "0th Stage" much larger than Daedalus itself. Using the same vehicle launch mass to payload ratio as the BIS starship, about 100:1 [40], the total fueled mass of REPRO must be 1.07x1010 kg.

Assuming humanity is the launching civilization, REPRO is constructed and fueled in Jovian orbit much like Daedalus. After inspection and certification for flight readiness the Oth Stage is ignited, propelling REPRO to about 12%c after a burn time of 4 years. Following a coast phase of 43 years to Barnard's star, the empty Oth Stage hulk is jettisoned and the remaining vehicle structure is rotated 180° so that it points backwards along the direction of flight. Stage I and Stage 2 are ignited in turn, dropping the payload down to interplanetary velocities (<10 km/sec) in about 4 years.

REPRO has a number of subprobes much like Daedalus but these are not constrained to perform simple flyby explorator~ missions since REPRO has fully decelerated. Orbiter, balloon/floater, rocket plane, and even surface lander missions on interesting planets or moons in the target solar system are possible. Detailed planetological data may be accumulated and processed, and a variety of xenobiological investigations under taken in the search for alien life and intelligence [41]. Sophisticated messenger probes of the kind envisioned by Bracewell could eventually be dispatched to parking orbits around selected planetary bodies in the target system.

Theory suggests that most single star systems should be accompanied by at least one jovian planet, possibly more [42]. In order to reproduce itself, REPRO needs 1.01x1010 kg of fusion fuel mined from a jovian atmosphere and 5.60x108 kg of nonfuel mass. Upon arrival in the target system, the vehicle uses its remaining 2nd Stage fuel to guide itself into orbit around a small moon of a jovian gas giant. About half the payload, 4.43x105 kg, is designated SEED. SEED is deorbited to the surface of the jovian moon where, over the next 500 years, it builds and launches a number of interplanetary probes. Its primary function, however, is to produce FACTORY, an automated manufacturing complex whose output (following rearrangement of its modular building-blocks [43]) is exactly one new REPRO every 500 years.

 

4. ESTIMATION OF REPRO ELEMENT INVENTORY

In order to plan the replication of REPRO the material requirements must be determined with some specificity. This requires a detailed knowledge of the structure of the vessel to an accuracy of definition at least as good as the Daedalus vehicle. Unfortunately, no such design study exists for a star ship the size of REPRO, so its ultimate feasibility remains unknown. However, since a fleet of ~200 Daedalus vehicles could place 106 kg of payload in orbit around Barnard's star or one of its planets, then assuming we accept as valid the techniques and conclusions of Project Daedalus the basic plausibility of REPRO cannot seriously be questioned. The technical details are not yet available, but apparently the mass/energy/time requirements are satisfied adequately by the gross physical parameters suggested above for the REPRO vehicle.

To determine an element inventory for REPRO the various Oth Stage component masses were calculated from the basic Daedalus starship model on the reasonable basis of comparative propellant mass ratio. This procedure was deemed acceptable in lieu of a sophisticated 10,000 man-hour design study since about 2/3 of the nonfuel Daedalus mass is directly related to the handling of fuel or the distribution of propulsive force. If M0, M1 and M2 are the REPRO propellant masses for the 0th, 1st and 2nd Stages and C0, C1 and C2 are specific component masses in the three Stages, respectively, then the scaling for C0 given C1 and C2 is:

{C<SUB>0</SUB>/M<SUB>0</SUB>} / {(C<SUB>1</SUB>+C<SUB>2</SUB>)/(M<SUB>1</SUB>+M<SUB>2</SUB>)} = (C<SUB>1</SUB>/M<SUB>1</SUB>) / (C<SUB>2</SUB>/M<SUB>2</SUB>)
(1)

Taking M0 = 1010 kg from the previous calculation involving mass ratios, and M1 = 9.20x107 kg and M2 = 8.16x106 kg as estimates from the figures given by White and Parfitt [44] the above expression reduces to:

 C0 = 8.86 (C1/C2) (C1 + C2)
(2)

The estimator given in Eqn. (2) was applied to every major component system in the Daedalus design. The results are in Table 1. No detailed analysis of the technical feasibility of these derived masses was attempted, although a quick check of two particular subsystems (engine reaction chamber, fuel tank mass and refrigeration hardware) indicated substantial agreement with the engineering constraints assumed for Daedalus.

The material requirements for a new REPRO are determined by breaking down the vehicle mass distribution into its elemental constituents. In many cases the precise alloys and materials to be used for a Daedalus component are specified in the summary report [44-48], and these values are adopted for REPRO. However, about 55% of nonfuel REPRO mass is unspecified in this fashion. Unspecified mass is treated in two categories: (1) Unidentified nonfuel "Vehicle Other" (labeled V.O. in Table 1), and (2) unidentified SEED or "FACTORY Other" (labeled F.O. in Table 1).


Table 1. Estimated Mass of Starprobe Components,
Comparison of Daedalus and REPRO
Starship Component  Daedalus REPRO
Component Mass (kg) Component Mass (kg)
PROPULSION SYSTEM
1.54x106
1.43x108
0th Stage
1.40x108
Reaction Chamber(s)
4.22x107
Excitation Field Coils
8.51x106
Titanium Coil Supports
1.56x107
Ignition Assembly
2.61x107
Charging Circuit Supports
1.70x106
Pellet Injector
Capacitors
2.04x107
Al Superconducting Coils
2.69x104
Uncommitted Mass (V.O.)
2.56x107
1st Stage
1.23x106
2.46x106
Reaction Chamber(s)
2.19x105
4.37x105
Excitation Field Coils
1.25x105
2.49x105
Titanium Coil Supports
2.41x105
4.82x105
Ignition Assembly
3.07x105
6.14x105
Charrging Circuit Supports
2.10x104
4.20x104
Pellet Injector
Capacitors
2.96x104
5.96x104
Al Superconducting Coils
3.66x101
7.32x101
Uncommitted Mass (V.O.)
2.87x105
5.74x105
2nd Stage
3.15x105
6.30x105
Reaction Chamber(s) 
2.21x104
4.42x104
Excitation Field Coils 
4.36x104
8.72x104
Titanium Coil Supports
9.06x104
1.81x105
Ignition Assembly 
8.10x104
1.62x105
Charging Circuit Supports
5.90x103
1.18x104
Pellet Injector
Capacitors
7.90x102
1.58x103
Al Superconducting Coils
9.05x10-1
1.81x100
Uncommitted Mass (V.O.)
7.08x104
1.42x105
THRUST STRUCTURE
7.50x104
2.81x106
0th Stage
2.66x106
1st Stage
5.00x104
1.00x105
2nd Stage
2.50x104
5.00x104
SERVICE BAY
8.91x105
1.10x108
0th Stage
1.08x108
Core
9.47x107
Thermal Shielding
Gold
1.19x105
Rhodium
5.89x105
Iconel Base
4.28x106
Power Supplies
Buffer Capacitors
5.85x106
Nuclear Reactors (V.O.)
2.74x106
1st Stage
7.59x105
1.52x106
Core
6.45x105
1.29x106
Thermal Shielding
Gold
5.78x102
1.16x103
Rhodium
2.89x103
5.78x103
Iconel Base
2.00x103
4.00x103
Power Supplies
Buffer Capacitors
3.00x104
6.00x104
Nuclear Reactors (V.O.)
6.00x104
1.20x105
2nd Stage
Core
1.32x105
2.64x105
Thermal Shielding
Gold
5.51x101
1.10x102
Rhodium
2.75x102
5.50x102
Iconel Base
2.00x103
4.00x103
Power Supplies
Buffer Capacitors
3.00x103
6.00x103
Nuclear Reactors (V.O.)
3.80x104
7.60x104
PROPELLANT SYSTEM
0th Stage
1.03x1010
Helium-3 Fuel
6.00x109
Duterium Fuel
4.00x109
Insulation
Fuel Tanks
1.46x106
LH2 Tanks
1.54x104
Fuel Tanks
2.12x107
Uncommitted Mass (V.O.)
2.75x108
1st Stage
4.74x107
9.49x107
Helium-3 Fuel
2.76x107
5.52x107
Duterium Fuel
1.84x107
3.68x107
Insulation
Fuel Tanks
3.15x104
6.30x104
LH2 Tanks
4.07x102
8.14x102
Fuel Tanks
9.85x104
1.97x105
Uncommitted Mass (V.O.)
1.30x106
2.60x106
2nd Stage
Helium-3 Fuel
2.45x106
4.90x106
Deuterium Fuel
1.63x106
3.26x106
Insulation
Fuel Tanks
1.95x104
3.91x104
Manoeuvre Tanks
4.60x102
9.20x102
LH2 Tanks
3.60x102
7.20x102
Fuel Tanks
8.87x103
1.77x104
Uncommitted Mass (V.O.)
1.19x105
2.38x105
PAYLOAD BAY
5.07x105
1.00x106
Committed Bay Structure
5.00x104
7.50x104
Sensing and Communications (V.O.)
1.10x105
1.0x105
Subprobes(V.O.)
2.45x105
1.00x105
Service Wardens (V.O.)
4.50x104
2.25x105
Shield Cloud (V.O.)
5.00x103
5.00x103
Dust Bugs (V.O.)
2.00x103
2.00x103
Beryllium Payload Shield
5.00x104
5.00x104
SEED (F.O.)
4.43x105
TOTAL MASS ESTIMATE
5.45x107
1.07x1010



To estimate the F.O. element distribution, the entire material consumption of the United States (the world's largest factory) per annum was averaged over the years 1972-1976 [49, 30] and reduced to an element-by-element distribution with fractional abundances by weight, normalized to 1. A few minor adjustments were made to the gross data to render them more appropriate in these circumstances. Carbon black was omitted, as this substance is produced in vast quantities in the U.S. primarily for making automobile tyres and various dyes. Feldspar, sand, gypsum, titanium slag and rutile, and several other large-volume substances also were eliminated because they pertain to the construction and dye industries and are of no conceivable relevance in the design of a starprobe intended to operate in low gravity airless environments. Coinage silver was deleted from the totals, but the figures for industrial and artistic usages were retained. Consumption data for the rare gases Kr, Ne, and Xe were not available, so these were estimated on the basis of relative abundance in the terrestrial atmosphere as compared to Ar, whose annual consumption was known. The final tabulation of F.O. abundances appears in Table 2.

The elemental distribution of V.O. is determined in a similar manner. Each element was carefully considered on the basis of its most common use and classified either as aerospace/electronics/optical Or as nonaerospace/electronics/optical. Elements in the latter category were arbitrarily demoted to 0.1% of their annual US consumption value. Elements in the former category retain their original consumption values, as these substances are more likely to comprise a larger relative fraction of the starprobe vehicle mass. The revised consumption figures were again reduced to fractional abundances by weight for each element.

The final element inventory estimate for REPRO appears in the last columns of Table 2. These totals were obtained by summing the following three quantities: (1) Mass of specific elements specified in the Daedalus report, plus (2) Mass of unspecified "Vehicle Other" (3.08x108kg) multiplied by each of the V.O. element abundances, plus (3) Mass of unspecified "FACTORY Other" (the 4.43x105 kg SEED) multiplied by each of the F.O. element abundances.

 

5. MATERIALS ACQUISITION STRATEGIES

The most demanding material requirement to be faced by REPRO is the acquisition of 1.01x1010 of He3/D fusion fuel. As Parkinson [51] has pointed out in connection with the propellant supply for Daedalus, jovian atmospheric mining with aerostat balloon factories is the preferred technique (see Section 6.2). Fusion breeding using the DD or Li7n reactions is not feasible due to the high temperature of the DD process, the low natural abundance of lithium, and the tremendous quantities of waste energy released. Solar wind collection likewise is not feasible for REPRO. To satisfy the mass flow requirements, a collector in Earth-orbit would need a scoop area of at least 1018 m2, a circle measuring 90 Earth-diameters. A physical collector only 10-4 in thick with the density of water would have a mass of 1017 kg, seven orders more massive than REPRO. Nonphysical magnetostatic or electrostatic scoops are conceptually possible, but it is not clear that the entire mechanism can be designed to operate within a mass budget of 107 - 108 kg.

An interesting alternative to jovian propellant acquisitionis the cometary capture technique. In this scheme, REPRO must seek out and rendezvous with a large long-period (> 100 years) cometary body in a low-eccentricity solar orbit. While cometary nuclei are believed to average 1-10 km in diameter, a few exceptionally large objects (P/Schwassmann-Wachmann I, Haley's Comet) are known to have diameters from 50 - 100 km and masses from 1017-1018 kg. The exact chemical composition is unknown but is thought to represent original. condensate from the protostellar nebula at roughly "cosmic" abundances, perhaps with a slight depletion of volatiles. The main body of the nucleus may consist of perhaps 74% ices (water, ammonia, methane, and solid clathrate hydrates) and 26% stony-iron dust, for a net density of about 1100 kg/m3 [52]. The cosmic abundance by mass of He3 may be computed from Cameron [53] as 2.67x10-5 and as 2.50x10-5 for deuterium. Even assuming the helium isotope is depleted by as much as three orders of magnitude, a large comet might still contain 1010 kg of He3 and 1013 kg of D, enough to permit reproduction of at least one REPRO vehicle. Further comparison of nonfuel materials requirements with cometary "cosmic" abundances indicates that all needs may be satisfied by completely cannibalizing one large body of the kind discussed above.

It seems likely that there are two main cometary belts, an Inner Cloud within 40 AU and the Oort Cloud out to about 100,000 AU. Recent estimates place the total population Of the Inner Cloud at about 3x106 bodies [54]. These remain in relatively circular orbits until deflected into the inner Solar System by planetary gravitational perturbations. Orbital inclinations of Inner Cloud members are random [55], so starprobes arriving along arbitrary trajectories should be able to find suitable candidates reasonably close to the plane of entry. Assuming one comet of every thousand is sufficiently large for utilization by a reproductive probe, then about 3000 suitable objects exist within a heliocentric search volume of radius 40 AU. If REPRO must locate at least one large comet within 5 years of target system entry, starprobe sensors must be capable of scanning 10-6 AU3 sec-1, necessitating a field diameter of at least 1 arcsec scanning to a depth of 40 AU with an integration time of 100 seconds. Within this range a 100-km-wide comet with albedo 0.1 has an apparent magnitude of +23 or brighter, observable using a 2-metre search telescope somewhat smaller than NASÁs 2.4-metre Space Telescope [56] or Daedalus's 5-metre optical telescopes [41].


Table 2. Estimated REPRO Element Inventory
Element
F.O. Abundances
V.O. Abundances
REPRO
Element Inventory (kg)
Element
F.O. Abundances
V.O. Abundances
REPRO
Inventory (kg)
He (~He3)
7.13x10-6
1.48x10-4
(6.06x109)
Y
2.49x10-7
5.17x10-6
1590
(~D)
4.87x10-4
1.01x10-2
(4.04x109)
Gd
2.49x10-7
3.13x10-6
964
AI
4.04x10-2
8.38x10-1
3.63x108
Pt 5.80x19-8
1.20x10-6
370
Mo
1.56x10-4
3.23x10-3
6.39x107
In
5.30x10-8
1.10x10-6
339
Ti
6.68x10-4
1.38x10-2
4.18x107
Ge
5.00x10-8
1.04x10-6
320
0
3.88x10-2
8.04x10-4
1.90x107
Sb
3.81x10-5
7.89x10-7
260
Cr
2.68x10-3
5.56x10-2
1.17x107
Sr
2.79x10-5
5.78x10-7
190
Be
6.23x10-7
1.29x10-5
1.04x107
Ga
2.01x10-8
4.16x10-7
128
Mg
1.45x10-3
3.00x10-2
9.53x106
As
1.73x10-5
3.60x10-7
199
Fe
7.32x10-1
1.52x10-2
5.89x106
Ce
1.36x10-5
2.82x10-7
92.9
Cu
1.38x10-2
2.85x10-4
5.87x106
Ag
1.34x10-5
2.77x10-7
91.2
C
3.48x10-4
7.22x10-3
3.50x106
Cd
1.28x10-5
2.65x10-7
87.3
Ni
4.00x10-4
8.30x10-3
2.59x106
Er
1.00x10-8
2.08x10-7
64.1
Sn
1.67x10-4
3.46x10-3
1.75x106
Dy
1.00x10-8
2.07x10-7
63.8
B
2.44x10-4
5.06x10-3
1.56x106
Tb
9.97x10-9
2.07x10-7
63.8
Zr
1.79x10-4
3.72x10-3
1.18x106
Eu
9.92x10-9
2.06x10-7
63.4
Rh
4.06x10-9
8.43x10-11
5.95x105
La
7.12x10-6
1.48x10-7
48.8
Na
5.09x10-2
1.05x10-3
3.46x105
Re
6.41x10-9
1.33x10-7
41.0
Nb
3.22x10-6
6.67x10-5
3.13x105
Nd
5.67x10-ô
1.17x10-7
38.5
Mn
3.53x10-3
7.32x10-5
2.65x105
I
5.55x10-6
1.15x10-7
37.9
N
2.96x10-2
6.14x10-4
2.56x105
Hg
4.91x10-6
1.02x10-7
33.6
W
3.68x10-5
7.62x10-4
2.35x105
Cs
4.04x10-9
8.37x10-8
25.8
si
1.04x10-3
2.16x10-5
2.00x105
Ru
3.79x10-9
7.86x10-8
24.2
S
2.68x10-2
5.55x10-4
1.83x105
Bi
2.59x10-6
5.37x10-8
17.7
ci
2.33x10-2
4.83x10-4
1.59x105
Xe
2.52x10-9
5.23x10-8
16.1
Hf
9.16x10-8
1.90x10-6
1.38x105
Rb
2.42x10-9
5.02x10-8
15.5
Au
4.29x10-7
8.89x10-9
1.20x105
Pr
1.73x10-6
3.58x10-8
11.8
Co
1.85x10-5
3.84x10-4
1.18x105
Ir
1.73x10-9
3.59x10-8
11.1
V
1.33x10-5
2.76x10-4
8.50x104
Sm
6.00x10-7
1.24x10-8
4.09
K
1.05x10-2
2.18x10-4
7.17x104
Te
3.91x10-7
8.11x10-9
2.67
P
8.52x10-3
1.77x10-4
5.83x104
Os
1.20x10-10
2.48x10-9
0.764
Li
6.30x10-6
1.31x10-4
4.03x104
Th
9.56x10-8
1.98x10-9
0.652
Ta
4.13x10-6
8.55x10-5
2.63x104
Pd
6.24x10-8
1.29x10-9
0.425
Zn
3.76x10-3
7.80x10-5
2.57x104
Kr
5.05x10-8
1.05x10-9
0.345
Pb
3.39x10-3
7.03x10-5
2.32x104
U
4.41x10-8
9.15x10-10
0.302
Ba
2.96x10-3
6.14x10-5
2.02x104
Se
3.43x10-11
7.11x10-10
0.219
F
1.53x10-3
3.16x10-5
1.04x104
Lu
1.01x10-8
2.09x10-10
6.89x10-2
Se
1.37x10-6
2.83x10-5
8720
Yb
1.01x10-8
2.09x10-10
6.89x10-2
Ne
1.01x10-6
2.09x10-5
6440
Tm
1.01x10-8
2.08x10-10
6.86x10-2
Ar
5.94x10-4
1.23x10-5
4050
Ho
1.00x10-8
2.08x10-10
6.45x10-2
Ca
5.14x10-4
1.07x10-5
3530
TI
2.06x10-9
4.27x10-11
1.41x10-2
Br
4.84x10-4
1.00x10-5
3290
Ra
2.27x10-12
4.71x10-14
1.55x105



Although the cometary capture technique appears plausible, much more information on the size, abundance, distribution and composition of comets must be obtained before the feasibility of such an approach can be properly assessed. For the purposes of this paper we choose to parallel the Daedalus study and select the jovian mining scheme as the most promising alternative at the present time.

Once it has been decided that the bulk of the mass of REPRO must be drawn from a jovian planet in the target star system, efficiency dictates that the base site be located somewhere in jovian orbit. Heavy elements comprising the nonfuel mass can most easily be drawn from one of four sources - atmosphere, jovian moon, jovian trojan asteroids, or the asteroid belt [52, 57-58].

Element abundances for "average asteroidal" material were assumed to include 74.7% silicate, 19.6% nickel-iron, and 5.7% troilite after Mason [59], and appear in Table 3. Data for the rare gases AT, He, Kr, Ne, and Xe are estimated from Heymann [60], and the value for H is averaged from data in Heide [61] and Brown [62]. A recent study of four large Trojan asteroids of Jupiter and two of the outer Jovian moons Himalia (J6) and Elara (J7) indicates an abnormally low surface albedo a result which calls into question the validity of the current "ice model" for these bodies [63]. Although the blackening may be only a surface effect, the highly irregular shape of Hektor, the largest Trojan body, implies that it cannot be composed of solid ice because ice has insufficient structural strength to support the irregular shape against collapse. Hartmann [64] calculates that if Hektor is composed of chondritic material it should be stable against internal crushing. If this conclusion is applicable to Himalia and Elara, smaller bodies but similarly low in albedo, then asteroidal capture becomes a more likely explanation for the origin of the outer Jovian moons.

Jovian atmospheric heavy element abundances generally fall about two or three orders below "average asteroidal, " assuming "cosmic" abundances [53] for the gas giant. (See Table 3). There are only eight elements for which jovian abundance may be higher than the asteroidal; Ar, C, H, He, Kr, N, Ne Xe. Extraction of these elements thus should be delegated to the aerostat balloon factory system.

Transportation out to the asteroidal belt or to the trojan clusters from the target system jovian is far more expensive if time and fuel than transportation of an equal mass to an outer jovian moon. In our Solar System, there are four known such moons orbiting at a distance of about 1.1x107 km from Jupiter with diameters 170 km (J6), 80 km (J7), 40 km (J10), and 20 km (J13); another five moons orbit about 2.2x107 km from Jupiter, with diameters 50 km (J8, J11), 40 km (J9), 30 km (J12), and 20 km (J14).

In this paper it is assumed that a jovian moon about 100 km in diameter having "average asteroidal" composition can be located and colonized by REPRO.


Table 3. Jovian and Jovian Lunar Element Abundances, and Mass Flow Rates for REPRO
Element Jovian Moon Abundances "Cosmic" Abundances" Mass Flow (kg/s) Element Jovian Moon Abundances "Cosmic" Abundances Mass Flow (kg/s)
(Avg Asteroidal)
(Avg Jovian)
Jovian Moon Ore or (Jovian Atm)
(Avg Asteroidal)
(Avg Jovian)
Jovian Moon Ore or (Jovian Atm)
He3
5.04x10-13
2.67x10-5
(14,500)
N
5.90x10-7
1.26x10-3
1.29x10-2
D
1.41x10-8
2.50x10-5
(10,300)
Ce
5.10x10-7
3.97x10-9
1.16x10-2
Mo
1.60x10-6
9.22x10-9
2540
Cd
5.00x10-7
4.00x10-9
1.11x10-2
Bc
1.00x10-6
1.75x10-10
 662
Dy
3.70x10-7
1.40x10-9
1.10x10-2
Rh
2.00x10-7
9.89x10-10
 189
Ni
1.68x10-2
6.77x10-5
9.82x10-3
Sn
1.00x10-6
1.03x10-8
 111
La
3.30x10-7
1.48x10-9
9.41x10-3
W
1.40x10-7
7.06x10-10
 107
Mn
2.00x10-3
1.23x10-5
8.44x10-3
Ta
2.00x10-8
9.13x10-11
    83.8
Co
1.00x10-3
3.13x10-6
7.52x10-3
B
2.00x10-6
9.09x10-8
    49.7
Pr
1.20x10-7
5.04x10-10
6.26x10-3
Nb
5.00x10-7
3.12x10-9
    39.9
Pt
5.00x10-6
6.56x10-9
4.71x10-3
Au
3.00x10-7
9.56x10-10
    25.5
Mg
1.39x10-1
6.20x10-4
4.37x10-3
In
1.00x10-9
5.21x10-10
    21.6
Nd
6.30x10-7
2.70x10-9
3.89x10-3
Pb
1.50x10-7
1.99x10-8
        9.85
O
3.30x10-1
8.26x10-3
3.67x10-3
Hf
1.40x10-6
9.00x10-10
       6.28
Na
6.80x10-3
3.31x10-5
3.24x10-3
Cu
1.00x10-4
8.24x10-7
       3.74
P
1.30x10-3
7.14x10-6
2.86x10-3
Ti
8.00x10-4
3.19x10-00
       3.33
As
2.00x10-6
1.19x10-8
2.79x10-3
Zr
3.30x10-5
6.13x10-8
      2.28
Ar
2.00x10-8
1.12x10-4
2.30x10-3)
Al
1.10x10-2
5.51x10-5
      2.10
Tl
4.00x10-10
9.42x10-10
2.25x10-3
Li
2.00x10-6
8.25x10-9
      1.28
Ge
1.00x10-5
2.00x10-7
2.04x10-3
Ba
3.40x10l-6
1.58x10-8
3.78x10-1
Te
1.00x10-7
1.97x10-8
.70x10-3
Bi
3.00x10-9
7.18x10-10
3.76x10-1
Ga
5.00x10-6
9.04x10-8
1.63x10-3
Cr
3.00x10-3
1.59x10-5
3.63x10-1
Ru
1.00x10-6
4.61x10-9
1.54x10-3
Gd
3.40x10-7
1.12x10-9
1.81x10-1
Ir
5.00x10-7
3.31x10-9
1.41x10-3
Sb
1.00x10-7
9.24x10-10
1.66x10-1
U
1.40x10-8
1.50x10-10
1.37x10-3
Cl
1.00x10-4
4.85x10-6
1.01x10-1
Fe
2.86x10-1
.11x10-3
1.31x10-3
V
6.50x10-5
3.21x10-7
8.33x10-2
Sm
2.20x10-7
8.16x10-10
1.18x10-3
Tb
5.10x10-8
2.10x10-10
7.97x10-2
Sr
1.10x10-5
5.66x10-8
1.10x10-3
C
4.20x10-4
3.40x10-3
6.56x10-2)
Th
4.00x10-8
3.23x10-10
1.04x10-3
Se
9.00x10-6
1.27x10-7
6.17x10-2
S
2.07x10-2
3.85x10-4
5.63x10-4
I
4.00x10-8
3.32x10-9
6.04x10-2
Rb
3.00x10-6
1.21x10-8
3.29x10-4
Xe
6.00x10-12
1.70x10-8
(6.03x10-2)
Ne
3.00x10-10
1.67x10-3
(2.46x10-4)
Ag
1.00x10-7
1.17x10-9
5.81x10-2
Kr
4.00x10-12
9.42x10-8
(2.33x10-4)
Eu
8.30x10-8
3.10x10-10
4.87x10-2
Lu
3.60x10-8
1.51x10-10
1.22x10-4
K
1.00x10-4
3.94x10-6
4.57x10-2
Tm
3.80x10-8
1.38x10-10
1.15x10-4
Zn
5.00x10-5
1.95x10-6
3.27x10-2
Si
1.70x10-1
6.75x10-4
7.49x10-3
Re
8.00x10-8
2.37x10-10
3.26x10-2
Ho
7.50x10-8
3.13x10-10
5.48x10-5
Y
4.00x10-6
1.02x10-8
2.53x10-2
Os
1.00x10-6
3.43x10-9
4.87x10-5
F
3.00x10-5
1.12x10-6
2.21x10-2
Pd
1.00x10-6
3.32x10-9
2.71x10-5
Hg
1.00x10-7
1.93x10-9
2.14x10-2
Yb
1.90x10-7
8.98x10-10
2.31x10-5
Br
1.00x10-5
2.59x10-8
2.10x10-2
Ra
5.00x10-11
????
1.97x10-5
Er
2.10x10-7
9.04x10-1
1.94x10-2
Ca
1.39x10-2
6.94x10-5
1.62x10-5
Cs
1.00x10-7
1.24x10-9
1.64x10-2
Sc
9.00x10-6
3.78x10-8
1.55x10-6


 

6. FACTORY AND SEED

Upon arrival in jovian lunar orbit, the first step in the reproductive process is to deorbit SEED, all remaining functioning wardens, most of the 412 MW Stage 2 power supply, and other miscellaneous equipment totalling ~5x105 kg to the surface of the jovian moon. In the weak 7 milligee gravity field this manoeuvre should require 290 MJ from an orbit 100 km above the surface. an eight hour trip using a 10 kW propulsion system. This is a deceleration of 4 milligees, well below the 13-113 milligee design limit [44] for all powered flight phases of the Daedalus mission.

Following moonfall, SEED and its wardens unpack and proceed slowly to erect FACTORY during the next 500 years. SEED operates under the direction of its own autonomous computer system which is activated upon landing, in coordination with the flight computer which remains in orbit aboard the 2nd Stage hulk. The 4.43x105 kg SEED grows into a 3.46x108 kg FACTORY, which is reorganized, then produces a 1.07x1010 kg REPRO starprobe during the second 500-year period. The mass growth rates are 1.3%, and 0.690%, respectively, fairly modest for modern automated industrial systems and an order lower than typical rates for biological organisms.

The actual reproductive apparatus consists of 13 distinct robot species, including Chemists, Aerostats, Miners, Metallurgists, Computers, Fabricators, Assemblers, Warehousers, Crawlers, Tankers, Wardens, Verifiers and Power Plants. These collectively perform all of the functions of a living system [65]. SEED carries representatives of only the first nine species mentioned. Several aging wardens are provided "free" from the derelict Stage 2, together with its 412 MW power supply. All Tankers and Verifiers must be constructed in situ from scratch.

 

6.1 Chemists

Chemist robots are responsible for the processing of jovian moon ore and the extraction of most nonfuel heavy elements required for the construction of FACTORY and REPRO. Most of this processing can be done chemically, using highly efficient automated refineries of compact design constructed with "universal" modular components [43] of several different basic types. A scheme involving high-performance electromagnetic isotope separators [66-67] - 1 ampere ion current [68], 104 kg units - has been considered for especially difficult extractions such as the separation of Zr/Hf mixtures, rare earth elements, and so forth. Expected mass flow requirements indicate that such devices will represent no more than a few per cent of the total FACTORY Chemist mass.

A subsidiary function of Chemists is to combine various elements and simple molecules into perhaps 100 basic reagents needed for SEED and FACTORY extraction, manufacturing and testing processes. Johnson and Holbrow [69] describe an aluminum processing plant for which 13% of the total refinery mass consists of five nonelemental process chemicals (H2O, H2SO4, Na2SO4, NaCl, and LiCl. Preparation of industrial process chemicals generally is quite easy in comparison with element extractions from ores. Most of these substances, both inorganic and organic, are one or two step preparations, so the additional mass of SEED and FACTORY Chemists to perform this function should again represent only a few per cent of the total Chemist mass.

FACTORY must produce essentially all nonfuel REPRO mass in 500 years. The mass flow requirements for each element, based on the REPRO inventory in Table 2, are divided by the jovian moon elemental abundances in Table 3 and the total production time of 500 years to obtain the lunar ore throughput rates tabulated in Table 3. The total mass flow rate is 3860 kg/sec, so in 500 years FACTORY Chemists must process 6.06x1013 kg of jovian moon ore.

Fusion breeding [70-71] of the most troublesome elements from more abundant precursors was considered in an attempt to reduce Chemist mass. flow rates. Plausible breeding pathways were found for the production of Mo from Zr (4.24x10-2 mole/sec), Rh from Ru (3.68x10-4 mole/sec), W from Hf (8.14x10-5 mole/sec), Au from Pt (3.88x10-5 mole/sec), Ta from Hf (9.26x10-6 mole/sec), In from Cd (1.88x10-7 mole/sec), Cu from Fe (5.88x10-3 mole/sec), Ti from Ca (5.56x10-2 mole/sec), and Al from Mg (8.57x10-1 mole/sec), for a total of 9.61x10-1 mole/sec breeder throughput. Utilization of all nine processes reduces the mass flow rate from 3860 kg/sec to 1110 kg/sec of jovian moon ore.

Setting aside technological difficulty, the main problem appears to be energy. Each of the proposed breeding pathways requires each precursor atom to absorb 2-7 neutrons to achieve majority conversion, coupled with continuous extraction of desired isotopic species to prevent degradation. If on average 100 2.45-MeV neutrons must be liberated by a DD fusion reactor to transmute one precursor atom into one rare atom (2-7% transmutation efficiency), then to breed all nine elements requires a power supply of 2.27x1013 watts. Even assuming 10,000 watts/kg for the higher temperature DD reactor the mass of this supply is 2.27x109 kg, nearly seven times the mass of FACTORY. It is concluded that fusion breeding is not feasible within REPRO mission constraints.

Current ore processing technology for aluminum, REPRO's most-needed element, permits a 4750-ton refinery to produce 1.74 kg/sec Al metal using soil from Earth's Moon [69]. This material is only 5.6%, A] by weight so the factory must process 31 kg/sec soil to achieve the stated output. This is a net processing rate of 6.53x10-6 (kg ore/sec)/kg refinery. Assuming one order improvement from technological advances, then if the values given for the aluminum plant are typical for element extractions FACTORY may be able to process jovian moon ore at the rate of 6.53x10-5 (kg/sec)/kg. This gives a total FACTORY Chemist mass of (3860)/(6.53x10-5) = 5.91x107 kg, equivalent to about 124 individual 475-ton refineries. The power requirement for the original aluminum plant is 40 watts/kg; adopting this value, the total for FACTORY Chemists is 2360 MW.

SEED Chemists must process enough jovian moon ore to produce the entire FACTORY mass of 3.46x108 kg. However, replacement mass must be added to take account of break downs and repairs. Daedalus carries 20 tons of repair shops and spare parts to service a 450-ton payload for 50 years, or 8.9x10-4 (kg spares/kg serviced)/year. The REPRO-building phase lasts 500 years, so the extra mass of shops and spares needed to maintain FACTORY is estimated as (8.9x10-4)(500)(3.46x108)=1.54x108 kg. The FACTORY-building phase also lasts 500 years; the logarithmic average mass of the growing SEED during this time is 1.24x107 kg, so the extra mass of shops and spares needed to maintain SEED is estimated as 5.52x106 kg by the same method as above. Including main tenance support, SEED Chemists must produce a total FACTORY mass MF = 5.06x108.

It will be noted that the function of FACTORY is to produce REPRO, hence production of REPRO must be linear; on the other hand, since the function of SEED is to produce FACTORY, and since FACTORY consists of "universal" modular components of the same types used in SEED, then in effect SEED is building more SEED, hence production of FACTORY must be exponential. If M(t) is the mass of the growing SEED at time t, then the rate of growth dM(t)/dt = XM(t), where X is the mass of new SEED generated per unit time interval, per unit mass of existing SEED at time t. The equation of growth may be written as:

M(t) = Ms· exp (Xt),
(3)

where Ms is the mass of the Original SEED at t = 0.

The value of X and the FACTORY mass Mf are determined as follows. From Eqn. (3) we have M(t) =Ms · exp(Xt) = Mt, where t is the 500-year production time of FACTORY. Also, X may be fixed by assuming that the SEED mass at t = t, it is not reorganized into FACTORY hardware capable of pro ducing REPRO, but rather retains its structure as fully mature SEED. This non-reconfigured SEED can produce more SEED components instead of new REPRO mass at a rate of Mt/t kg/sec, where Mt is nonfuel REPRO mass. However, this fraction must be corrected for the difference in element abun dances between the output of FACTORY (new REPRO, with REPRO abundances) and the output of the mature SEED (more SEED, with F.O. abundances). To obtain a relation for X, the above production rate must be multiplied by the ratio of the appropriate output abundances relative to pvian moon soil, and divided by the mass of existing SEED at t = t. Hence, X = (Mt/t)(Rt/Rf)/Mf, where Rt = S{(REPRO abundances)/(jovian moon abundances)} and Rf = S {((SEED or F.O. abundances)/(jovian moon abundances)}. Since Mt (5.60x108 kg), Ms (4.43x105 kg), and t (1.57x1010 sec) are flyby mission parameters, and Rg (Rg(1.10x105) an Rf(2.68x104)2.68x104) are readily calculated from the data in Tables 1, 2, and 3, this leaves two equations and two unknowns.  Solving simultaneously, Mf = 3.46x108 kg and X = 6.66/t.

The same value of the rate constant X may be used to calculate the individual SEED mass of each exponentially growing component robot species. The most general definitionof the component rate constant X. is mass flow output 01 component per unit mass of existing, component, so Xc = (Mtt) (Rt/Rf)(Mfc/Mf)/Mfc where Mfc is the mass of the particular component in FACTORY. The dependence on Mfc drops out so Xc = for all components. Since SEED components must produce MFrather than Mf, SEED component mass Ms is given by:

Msc = MFMf-1Mfc· exp(-Xt)
(4)

Plugging in Mfc = 5.91x107 kg, from Eqn. 4, Msc =1.11x105 kg for SEED Chemists. The initial power requirement is 4.4 MW.

 

6.2 Aerostats

The aerostat concept, developed for Project Daedalus by Parkinson [51], permits jovian atmospheric mining. An Aerostat robot floats like a hot air balloon in the jovian air, using heat from a small onboard reactor to generate lift. This provides a relatively stationary collection plant able to separate and store REPRO propellants and other necessary isotopes. About once a week an Aerostat ascent ferry unloads the accumulated store of fusion fuel and carries it into low jovian orbit to rendezvous with a waiting Tanker; after disgorging its contents, the ferry returns to the Aerostat, secures itself to the factory by means of a docking trapeze, and awaits the end of the next processing cycle.

Aerostats designed for operation on Jupiter for Project Daedalus have an empty mass of 180.2 tons, including ascent ferry mass, and consume 10 MW of power, all of it generated by the onboard reactor. Each factory can process 680 kg/sec of gas giant atmosphere, and is designed for fully automatic operation in the high-radiation, turbulent jovian environment.

From the jovian throughput rates in Table 3 it is clear that the mass flow for He3 is controlling. A total Aerostat fleet of (14,500)/(680) = 21.3 units must on average operate continuously for 500 years to provide all the He3 and D propellants for a single REPRO starprobe. Although Parkinson suggests a lifespan minimum of 8 years, industrial factories generally are assigned a maximum working life of 30 years. If the average of these is taken as typical for Aerostats, 19 years, then in 500 years of FACTORY operation the entire Aerostat fleet must be replaced 26.3 times. A total mission fleet of 560 units must therefore be constructed in order to maintain an average working fleet of 21.3 units in continuous operational status. The total mass of FACTORY Aerostats is 1.01x108 kg.

Parkinson has suggested that workable devices might be designed on a somewhat smaller scale. If SEED carries two small Aerostats (each one 15% normal mass) to gather -fuel and other isotopes during the FACTORY -building phase, then the total mass of SEED Aerostats is 54.1 tons.

One minor difference between Daedalus and REPRO Aerostats is the incorporation in the latter of additional facilities for the extraction of the elements Ar, C, Kr, NN, Ne, and Xe because of their expected greater abundance in the jovian atmosphere than on the jovian moon. The extra production requires the continuous service of only about 10-4 Aerostat, a negligible additional production load for the FACTORY fleet. All six elements are readily obtained using simple cold traps, since the extraction processes for recovering them need an efficiency of only ~10-6 compared to He3 and D processors. Each full load of fusion fuel, 16.8 tons, thus is accompanied by ~260 gm of the six specified elements.

 

6.3 Miners

The Miners are semi-intelligent general purpose excavation robots, charged with the responsibility of locating and digging up jovian moon material for processing by Chemists. Physical functions include drilling, blasting, dozing, shoveling, stripping, and lifting large quantities of ore. Search functions are highly specialized, confined to locating surface ore veins and local pockets of mineralogical enrichment (survey satellites do most of the finding - see Section 6.5).

FACTORY Chemists must process 3860 kg/sec of jovian moon ore, so the Miners must dig it up. Typical performance figures for power shovels, bulldozers and shovel dozers are (3x10-3 (kg excavated/sec)/kg machine and 4 watts/kg machine during continuous operation [72]. These values, derived from experience working in the 1 -gee terrestrial environment. may be somewhat pessimistic when directly applied to the 7 milligee jovian moon environment, but hopefully not unduly so. If they are taken as appropriate, with a duty cycle of 50% to account for delays due to the finding function, then the total mass of FACTORY Miners is 2.57x106 kg with a power consumption of 10 MW.

SEED Miners must locate and excavate enough jovian lunar ore to provide the entire mass of FACTORY plus shops and spares. Using Eqn. (4), for Mfc = 2.57x106 kg Msc = 4820 kg with an initial power requirement of 19.3 kW.

 

6.4 Metallurgists

Metallurgist robots accept purified metal, semiconductor, and non-metallic substances from the Chemists to prepare alloys, amalgams, cermets, plastics, and many other material compositions required in the construction of FACTORY and REPRO. These robots also perform simple cutting, extruding. rolling, annealing, molding, milling, and shaping functions. The operation of Metallurgists is roughly analogous to that of the glass processing refinery described by Johnson and Holbrow (69) for use in a proposed lunar manufacturing facility. The factory, designed. within the limits of present-day technology, has a mass of 400 tons and an output of 40 tons/day of annealed, trimmed, and pressed plate silica glass, a production rate of 1.2x10-6 (kg/sec)/kg plant. The refinery uses 890 kW of power, or 2.2 watts/kg which compares favourably with the projection of 4.2 watts/kg obtained from [73] for an automated materials processing package suggested as a possible future Space Shuttle payload.

FACTORY Metallurgists must produce Mt/t = 3.57x10--2 kg/sec in order to complete REPRO on schedule. Taking the glass refinery figures as typical, the total mass of FACTORY Metallurgists would be 29.7 tons. However, a subspecies of Metallurgist robots handles electronic-gade materials of the highest purity, performing specialized functions such as ultrapure crystal growth, bulk wafer fabrication, and selected doping and drifting prelithographic operations. Although the mass flow is low, machine complexity is high because of the extreme standards of purity. If electronics Metallurgists also have a mass of 29.7 tons, then the total mass of FACTORY Metallurgists is 59.4 tons with a power consumption ~130 kW.

SEED Metallurgists must process the entire mass of FACTORY plus shops and spares. From Eqn. (4), M.= I I I kg; this is pro