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=== Multiple vehicles per day to a one sidereal day construction orbit === | |
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The | Vehicles can be launched from the launch loop into higher apogee orbits over a ±15 minute window around the prime orbit; they will arrive with a bit more tangential velocity, and far more radial velocity. Vehicles launched before the prime orbit time will arrive with downward radial velocity; vehicles launched after the prime orbit time will arrive after. |
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I presume the vehicles will be as cheap and as close to passive and uncomplicated as possible, and will arrive near the station to be captured by an active maneuvering tether. They will be perturbed somewhat by the turbulent passage out of the thin remaining atmosphere after a high precision launch by the launch loop, and some way of thrusting them into an exactly precise (to millimeters absolute position and micrometers per second relative velocity) is needed. My guess is that a reusable "thrust panel" consisting of a "black" laser-absorbent refractory metal sponge, saturated (somehow) with lots of hydrogen, can be designed to eject that hydrogen at very high velocity when it is smacked by a laser pulse from an orbiting station with very big optics. Wild handwaving, but a laser propulsion genius like Leik Myrabo or Jordin Kare might have some good ideas about how to do it (is Jordin's collaborator Tom Nugent still active?). Depleted panels will be returned to Earth for recharge and resuse, or used for bulk shielding. An ablative rubber panel might also work, but might scatter too much material into persistent retrograde orbits and pollute low-Earth orbital space with ram-surface-eroding material. A [[ NoGramLeftBehind | '''No Gram Left Behind''' ]] policy will be necessary for a permanent gigatonne/year spacefaring civilization. When vehicles arrive, they will be "lassoed" by a velocity and position-matched loop on a deployed cable. They will pull the cable against a drum and a generator, producing electricity to drive some form of propulsion attached to the station itself. We do not need high I__SP__, but propellant plumes with tightly constrained velocity profiles will be designed to launch all of the propellant into a retrograde orbit with a perigee below the top of the atmosphere. An inert material like argon might be best, so it does not upset upper atmosphere chemistry too much. Vehicles arriving at ± 900 seconds will have radial velocities around 660 m/s, or excess kinetic energies of 220 kJ/kg; if that was converted 50% efficiently to propellant kinetic energy, a 10% propellant fraction could be launched retrograde at ≈1500 m/s, an impulse of 150 kg-m/s per vehicle kg, more than enough to restore station momentum "lost" to a vehicle capture. A 670 m/s combined radial and tangential velocity capture is frightening - or perhaps "a mere engineering detail", as antimatter propulsion advocate Bob Forward was fond of saying. I don't know how to do it safely and reliably, but someone reading this may be inspired to learn how. If the expelled propellant fraction is 10%, we can guess that perhaps one in eight of the incoming vehicles are tankers delivering liquid (argon?) propellant. MoreLater |
Construction1
This will be merged with ConstructionOrbits real soon now.
The first table describes a series of increasingly higher altitude construction orbits, with periods that are multiples of sidereal days, synchronizing the orbit with the launch loop as it rotates below.
The first "one sidereal day" orbit will be convenient for the construction of space solar power satellites in synchronous orbits. There may be as many as 96 construction station orbits, spaced around the "sidereal clock", fed by separately synchronous vehicle streams. The quickest return to Earth (say, to return a stabilized accident victim to a hospital on earth) will be from the one day orbit, with a 116 m/s retrograde delta V to drop perigee to 50 km reentry altitude in the atmosphere.
If the launch is not captured by the construction station, the vehicle will be in a shorter period orbit and not synchronize with the station on it's next pass. A 2 m/s retrograde delta V from the launch orbit will also drop perigee to 50 km reentry altitude.
The larger long period orbits will be suitable for the launch of interplanetary missions. They will suffer from larger tidal effects from the moon. Still, if the 10 day orbit at the bottom can be made to work, then the capture delta V will be a mere 25.3 m/s. After an interplanetary vehicle is assembled in this long period construction orbit and the interplanetary trajectory window opens, the perigee is lowered to perhaps 222 km altitude (6600 km radius) with a 24 m/s burn at apogee, then the main interplanetary launch delta V rocket burn ( vinf = 5.5 km/s ) of 1.4 km/s will put the assembled vehicle into a Aldrin Mars cycler orbit. The referenced paper is for a spartan 75 metric tonne cycler; a vehicle constructed with five or six 5-tonne additions per day over a one year period could mass 10,000 tonnes; a vast, shielded wheel habitat suitable for multi-generation occupation.
construction orbit perigee radius = 8378 km launch orbit perigee radius = 6458 km |
||||||||
sid |
period sec |
apogee |
apogee velocity m/s |
perigee velocity m/s |
||||
day |
constr. |
launch |
radius km |
constr. |
launch |
diff. |
constr. |
loop |
1 |
86164 |
83238 |
75950.3 |
1021.18 |
906.95 |
114.23 |
9257.46 |
10665.8 |
2 |
172328 |
168634 |
125484.9 |
630.56 |
557.63 |
72.94 |
9444.51 |
10834.8 |
3 |
258492 |
254260 |
167032.0 |
477.45 |
421.50 |
55.95 |
9518.89 |
10901.3 |
4 |
344656 |
339996 |
204116.1 |
392.41 |
346.09 |
46.32 |
9560.46 |
10938.4 |
5 |
430820 |
425798 |
238199.6 |
337.21 |
297.22 |
39.99 |
9587.54 |
10962.5 |
6 |
516985 |
511647 |
270068.0 |
298.02 |
262.56 |
35.46 |
9606.82 |
10979.6 |
7 |
603149 |
597528 |
300205.2 |
268.51 |
236.48 |
32.03 |
9621.36 |
10992.5 |
8 |
689313 |
683436 |
328935.4 |
245.35 |
216.02 |
29.32 |
9632.79 |
11002.6 |
9 |
775477 |
769364 |
356489.5 |
226.60 |
199.47 |
27.13 |
9642.05 |
11010.8 |
10 |
861641 |
855309 |
383039.5 |
211.06 |
185.76 |
25.30 |
9649.73 |
11017.6 |
Multiple vehicles per day to a one sidereal day construction orbit
Vehicles can be launched from the launch loop into higher apogee orbits over a ±15 minute window around the prime orbit; they will arrive with a bit more tangential velocity, and far more radial velocity. Vehicles launched before the prime orbit time will arrive with downward radial velocity; vehicles launched after the prime orbit time will arrive after.
I presume the vehicles will be as cheap and as close to passive and uncomplicated as possible, and will arrive near the station to be captured by an active maneuvering tether. They will be perturbed somewhat by the turbulent passage out of the thin remaining atmosphere after a high precision launch by the launch loop, and some way of thrusting them into an exactly precise (to millimeters absolute position and micrometers per second relative velocity) is needed.
- My guess is that a reusable "thrust panel" consisting of a "black" laser-absorbent refractory metal sponge, saturated (somehow) with lots of hydrogen, can be designed to eject that hydrogen at very high velocity when it is smacked by a laser pulse from an orbiting station with very big optics. Wild handwaving, but a laser propulsion genius like Leik Myrabo or Jordin Kare might have some good ideas about how to do it (is Jordin's collaborator Tom Nugent still active?). Depleted panels will be returned to Earth for recharge and resuse, or used for bulk shielding.
An ablative rubber panel might also work, but might scatter too much material into persistent retrograde orbits and pollute low-Earth orbital space with ram-surface-eroding material. A '''No Gram Left Behind''' policy will be necessary for a permanent gigatonne/year spacefaring civilization.
When vehicles arrive, they will be "lassoed" by a velocity and position-matched loop on a deployed cable. They will pull the cable against a drum and a generator, producing electricity to drive some form of propulsion attached to the station itself. We do not need high ISP, but propellant plumes with tightly constrained velocity profiles will be designed to launch all of the propellant into a retrograde orbit with a perigee below the top of the atmosphere. An inert material like argon might be best, so it does not upset upper atmosphere chemistry too much.
Vehicles arriving at ± 900 seconds will have radial velocities around 660 m/s, or excess kinetic energies of 220 kJ/kg; if that was converted 50% efficiently to propellant kinetic energy, a 10% propellant fraction could be launched retrograde at ≈1500 m/s, an impulse of 150 kg-m/s per vehicle kg, more than enough to restore station momentum "lost" to a vehicle capture. A 670 m/s combined radial and tangential velocity capture is frightening - or perhaps "a mere engineering detail", as antimatter propulsion advocate Bob Forward was fond of saying. I don't know how to do it safely and reliably, but someone reading this may be inspired to learn how.
If the expelled propellant fraction is 10%, we can guess that perhaps one in eight of the incoming vehicles are tankers delivering liquid (argon?) propellant.
capture8 construction perigee = 8378 km launch perigee = 6458 km |
||||||
sidereal period 1 days 86164.091 seconds |
||||||
|
period |
arrival |
apogee |
velocity change m/s |
||
|
sec |
sec |
km |
tangent |
radial |
plane |
construction |
86164.091 |
0.000 |
75950.339 |
0.00 |
0.00 |
0.00 |
prime cargo |
83238.210 |
0.000 |
75950.339 |
114.23 |
0.00 |
0.00 |
|
||||||
-900s cargo |
84605.521 |
1954.218 |
76850.339 |
114.20 |
-652.63 |
-8.32 |
-870s cargo |
84559.824 |
1888.892 |
76820.339 |
114.58 |
-635.58 |
-8.04 |
-840s cargo |
84514.136 |
1823.650 |
76790.339 |
114.92 |
-618.17 |
-7.76 |
-810s cargo |
84468.456 |
1758.485 |
76760.339 |
115.24 |
-600.39 |
-7.47 |
-780s cargo |
84422.784 |
1693.397 |
76730.339 |
115.52 |
-582.27 |
-7.19 |
-750s cargo |
84377.120 |
1628.381 |
76700.339 |
115.78 |
-563.81 |
-6.91 |
-720s cargo |
84331.465 |
1563.434 |
76670.339 |
116.01 |
-545.01 |
-6.63 |
-690s cargo |
84285.818 |
1498.552 |
76640.339 |
116.21 |
-525.89 |
-6.35 |
-660s cargo |
84240.179 |
1433.733 |
76610.339 |
116.38 |
-506.46 |
-6.08 |
-630s cargo |
84194.548 |
1368.972 |
76580.339 |
116.53 |
-486.72 |
-5.80 |
-600s cargo |
84148.925 |
1304.267 |
76550.339 |
116.65 |
-466.69 |
-5.52 |
-570s cargo |
84103.311 |
1239.613 |
76520.339 |
116.75 |
-446.37 |
-5.24 |
-540s cargo |
84057.705 |
1175.006 |
76490.339 |
116.82 |
-425.77 |
-4.96 |
-510s cargo |
84012.108 |
1110.444 |
76460.339 |
116.87 |
-404.91 |
-4.69 |
-480s cargo |
83966.518 |
1045.920 |
76430.339 |
116.89 |
-383.78 |
-4.41 |
-450s cargo |
83920.937 |
981.432 |
76400.339 |
116.89 |
-362.41 |
-4.13 |
-420s cargo |
83875.364 |
916.973 |
76370.339 |
116.87 |
-340.80 |
-3.86 |
-390s cargo |
83829.799 |
852.539 |
76340.339 |
116.82 |
-318.96 |
-3.58 |
-360s cargo |
83784.243 |
788.123 |
76310.339 |
116.76 |
-296.90 |
-3.31 |
-330s cargo |
83738.695 |
723.717 |
76280.339 |
116.67 |
-274.62 |
-3.03 |
-300s cargo |
83693.155 |
659.313 |
76250.339 |
116.55 |
-252.13 |
-2.76 |
-270s cargo |
83647.623 |
594.901 |
76220.339 |
116.42 |
-229.43 |
-2.48 |
-240s cargo |
83602.099 |
530.467 |
76190.339 |
116.26 |
-206.53 |
-2.20 |
-210s cargo |
83556.584 |
465.991 |
76160.339 |
116.09 |
-183.41 |
-1.93 |
-180s cargo |
83511.077 |
401.450 |
76130.339 |
115.89 |
-160.06 |
-1.65 |
-150s cargo |
83465.579 |
336.806 |
76100.339 |
115.67 |
-136.45 |
-1.38 |
-120s cargo |
83420.088 |
271.998 |
76070.339 |
115.43 |
-112.53 |
-1.10 |
-90s cargo |
83374.606 |
206.920 |
76040.339 |
115.16 |
-88.17 |
-0.83 |
-60s cargo |
83329.132 |
141.354 |
76010.339 |
114.88 |
-63.12 |
-0.55 |
-30s cargo |
83283.667 |
74.699 |
75980.339 |
114.57 |
-36.64 |
-0.28 |
prime cargo |
83238.210 |
0.000 |
75950.339 |
114.23 |
0.00 |
0.00 |
30s cargo |
83320.865 |
38.227 |
76004.884 |
114.85 |
42.83 |
0.28 |
60s cargo |
83391.496 |
58.300 |
76051.481 |
115.35 |
70.36 |
0.55 |
90s cargo |
83460.787 |
76.359 |
76097.180 |
115.82 |
96.13 |
0.83 |
120s cargo |
83529.441 |
93.472 |
76142.446 |
116.25 |
121.03 |
1.10 |
150s cargo |
83597.718 |
110.036 |
76187.451 |
116.67 |
145.38 |
1.38 |
180s cargo |
83665.745 |
126.248 |
76232.280 |
117.05 |
169.32 |
1.65 |
210s cargo |
83733.595 |
142.218 |
76276.980 |
117.42 |
192.94 |
1.93 |
240s cargo |
83801.311 |
158.017 |
76321.580 |
117.76 |
216.28 |
2.20 |
270s cargo |
83868.922 |
173.693 |
76366.098 |
118.08 |
239.37 |
2.48 |
300s cargo |
83936.447 |
189.278 |
76410.548 |
118.38 |
262.21 |
2.75 |
330s cargo |
84003.901 |
204.798 |
76454.939 |
118.65 |
284.81 |
3.02 |
360s cargo |
84071.292 |
220.271 |
76499.278 |
118.91 |
307.17 |
3.30 |
390s cargo |
84138.630 |
235.712 |
76543.568 |
119.14 |
329.30 |
3.57 |
420s cargo |
84205.918 |
251.132 |
76587.815 |
119.35 |
351.18 |
3.85 |
450s cargo |
84273.161 |
266.542 |
76632.020 |
119.53 |
372.81 |
4.12 |
480s cargo |
84340.361 |
281.950 |
76676.185 |
119.69 |
394.19 |
4.40 |
510s cargo |
84407.520 |
297.362 |
76720.312 |
119.83 |
415.30 |
4.67 |
540s cargo |
84474.641 |
312.786 |
76764.401 |
119.95 |
436.14 |
4.95 |
570s cargo |
84541.722 |
328.226 |
76808.454 |
120.04 |
456.71 |
5.22 |
600s cargo |
84608.766 |
343.687 |
76852.469 |
120.11 |
476.98 |
5.50 |
630s cargo |
84675.771 |
359.174 |
76896.449 |
120.15 |
496.96 |
5.78 |
660s cargo |
84742.738 |
374.691 |
76940.391 |
120.17 |
516.63 |
6.05 |
690s cargo |
84809.667 |
390.241 |
76984.296 |
120.16 |
535.98 |
6.33 |
720s cargo |
84876.555 |
405.828 |
77028.164 |
120.12 |
555.01 |
6.61 |
750s cargo |
84943.403 |
421.455 |
77071.993 |
120.06 |
573.71 |
6.88 |
780s cargo |
85010.210 |
437.125 |
77115.784 |
119.97 |
592.08 |
7.16 |
810s cargo |
85076.973 |
452.842 |
77159.535 |
119.85 |
610.09 |
7.44 |
840s cargo |
85143.693 |
468.608 |
77203.246 |
119.71 |
627.75 |
7.72 |
870s cargo |
85210.366 |
484.425 |
77246.915 |
119.53 |
645.04 |
8.00 |
900s cargo |
85276.992 |
500.297 |
77290.542 |
119.33 |
661.97 |
8.28 |