Responsive Launch of Small Spacecraft Using Reusable In-Space Tether and Air-Launch Technologies
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1 Responsive Launch of Small Spacecraft Using Reusable In-Space Tether and Air-Launch Technologies Robert P. Hoyt * Tethers Unlimited, Inc., Bothell, WA, Achieving dramatic reductions in launch costs below the current $10,000 per-kilogramto-leo levels will require transportation system designs that maximize reusability, minimize manpower requirements for operations and maintenance, and maximize flight frequency. In this paper, we investigate a transportation system architecture that combines the use of small air-launched rockets with an in-space tether system to provide a capability for responsively launching small satellites to altitudes above LEO. By utilizing a momentum-exchange/electrodynamic-reboost (MXER) tether system as an in-space upper stage, the system can enable small, responsively-deployed air-launch rocket systems to service traffic to MEO, GEO, and the Moon at costs 2 to 3 times lower than current launch systems. In this paper we detail the architectures of MXER Tether systems suitable for boosting small satellites from LEO to GTO and from LEO to elliptical Magic orbits. D I. Introduction eveloping systems for responsively deploying assets into orbit is critical to ensuring the capability to support the warfighter with timely intelligence, surveillance, and reconnaissance (ISR), signals intelligence, as well as mission-critical communications. Our capabilities for space situational awareness, space control, and spacecraft protection could also be greatly enhanced by the ability to deploy appropriate assets into orbit in a responsive manner. The capability to deploy satellites into orbit within days of a go order requires launch systems that can be loaded, prepared, and launched very rapidly. The DoD is currently sponsoring several efforts to develop small, lowcost launch systems capable of responsively delivering microsatellite-class payloads ( kg) into low Earth orbit (LEO), including the AirLaunch LLC QuickReach booster and the SpaceX Falcon rocket. Using an allchemical rocket system to responsively launch microsatellite-class payloads to higher orbits, such as geostationary orbit (GEO), however, will be significantly more challenging and expensive because the larger launch vehicles required to reach these higher altitudes are more difficult and costly to prepare and launch in a short period of time. In this paper, we propose the use of an in-space transportation system component, called the Momentum- Exchange/Electrodynamic-Reboost (MXER) Tether, to serve as a fully-reusable upper stage that would enable the small, responsive launch vehicles currently in development to deliver microsat-class payloads to orbits beyond LEO in a cost-effective manner. In particular, we will detail MXER Tether system concepts for LEO to geostationary transfer orbit (GTO) and LEO to Magic orbit transfers. A. Background: MXER Tether Transportation A MXER Tether system combines the principle of momentum exchange with the technique of propellantless electrodynamic propulsion. In a momentum exchange tether system, a long, high-strength tether is used to transfer orbital energy from a facility in orbit to a payload, boosting the orbit of the payload. In the technique of electrodynamic tether propulsion, currents driven along a conducting tether are used to generate Lorentz forces through interactions with the geomagnetic field so as to restore the orbital energy of the tether facility without consumption of propellant. 1,2,3 By combining these two techniques, a MXER Tether Facility can boost many payloads from low Earth orbit (LEO) to higher orbits without requiring refueling, enabling it to act as a fullyreusable in-space upper stage that can provide propulsion for a wide range of space missions. In a momentum-exchange tether system, a long high-strength tether is deployed from a facility in orbit and set into rotation around the facility, as illustrated in Figure 1. The tether system is placed in an elliptical orbit and its rotation is timed so that the tether is oriented vertically below the central facility and swinging backwards when the system reaches perigee. At that point, a grapple mechanism located at the tether tip can rendezvous with and capture * CEO, N. Creek Pkwy S., B102, Bothell, WA 98011, AIAA Member. 1
2 a payload moving in either a lower orbit or a suborbital trajectory. Half a tether rotation later, the tether can release the payload, tossing it into a higher energy orbit. In order for the tether system to boost multiple payloads, it must have the capability to restore its orbital energy and momentum after each payload transfer operation. If the tether system has a solar power supply, and a portion of the tether contains conducting wire, then the power supply can drive current along the tether so as to generate thrust through electrodynamic interactions with the Earth's magnetic field. By properly modulating the tether current during an orbit, the tether system can reboost itself to its original orbit, as illustrated in Figure 2. 4 The MXER system requires energy input to restore the tether s orbital energy, but it does not require expenditure of propellant, because it utilizes the Earth s mass, coupled through its magnetic field, as the reaction mass for generating thrust. Thus as long as its tether retains its strength, and its solar panels and other critical systems continue functioning adequately, a MXER system can continue to boost payloads without requiring refueling or replacement. Current MXER technology efforts are targeted at achieving ten-year operational lifetimes to enable a MXER tether to boost Figure 1. Concept of operations of an air-launch/mxer tether system for responsive delivery of small satellites to high orbits. Figure 2. The Momentum-Exchange/Electrodynamic Reboost Tether Launch Assist Concept. 2
3 many dozens of payloads and thereby provide significant return on the investment required to develop and deploy the tether. B. Responsive Launch Systems One of the key focuses of the DoD s recent efforts in space system development has been creating a capability for launching satellites into space within a few days of the go command in order to provide timely communications, ISR, and other tactical support to the warfighter. In addition to timeliness, the other main challenge current efforts are seeking to address is minimizing the cost of launching such assets in a short period of time. To balance these two objectives, responsive launch systems such as the SpaceX Falcon-1 and the AirLaunch LLC QuickReach booster are targeted at launching microsatellite payloads with masses on the order of 500 kg into low-leo orbits. The costs for these systems are targeted in the range of $5-7M per launch. While LEO altitudes are optimal for many tactical missions such as visual and radar imaging, other applications, such as communications support and space control may be optimally served by higher orbits for which these small responsive launch vehicles are not directly able to access. For example, the Cobra and Magic orbits, both classes of elliptical orbits with perigees in LEO and apogees in MEO, are desirable for providing long-duration continuous access communications to support tactical operations and other missions. 5 Additionally, a capability for delivering microsatellites responsively to GEO may be desirable in order to provide timely space situational awareness, space asset servicing and protection, counterspace, and 24/7 communications services. Unfortunately, delivering microsatellite-class payloads directly to MEO or GEO orbits using conventional launch technologies requires a significantly larger and more expensive launch vehicle, such as a Taurus, which can deliver 448 kg to GTO at an estimated cost of $25M. Furthermore, the size and additional complexity of these larger launch vehicles make them less amenable to responsive preparation and launch. C. Airlaunch/MXER Tether Transport System A small MXER Tether, in cooperation with an air-launched rocket, could provide a system for delivering microsatellite payloads to GEO, Magic orbits, and other orbits in regimes above LEO in a cost-effective and responsive manner. The MXER Tether system would, of course, need to be launched into LEO in advance, and would utilize its propellantless electrodynamic propulsion capabilities to spin itself up and raise its orbit in preparation for a payload boost maneuver. When a command to deliver a satellite to GEO or other high orbit is received, an air-launched rocket would be used to deliver the microsatellite payload into a low-leo orbit. An airlaunched rocket would be preferable to a pad-launched system because the mobility of the air platform will enable it to adjust the launch longitude and latitude to enable rendezvous with the orbiting tether. Once the payload is in LEO, it and the tether will maneuver to achieve rendezvous between the payload and the rotating tether tip. The tether will then capture the payload, carry it for half a rotation, and toss it into a transfer trajectory to its target orbit. Subsequently, the MXER Tether will perform electrodynamic thrusting to restore its orbital energy so as to enable it to boost additional payloads. In the following sections, we will detail the conceptual design of small MXER Tether systems sized for boosting 400 kg microsatellites from a suborbital trajectory to a 3 hour Magic orbit and from LEO to GTO. We will then discuss the potential merits and challenges of the MXER Tether concept for responsive launch applications. LEO to Magic Orbit Microsat Launch MXER Tether Magic orbits are a class of elliptical orbits designed to provide persistent coverage of regions of interest with small spacecraft. They are designed with either a critical (63.4 ) or sun-synchronous (116.6 ) inclination so as to maintain their apogee at constant latitude, and their perigee and apogee are chosen so that they have a repeating ground track. The most commonly discussed Magic orbit has a perigee near 500 km and an apogee near 8,000 km, resulting in a 3-hour orbit period with 8 orbits per day. 6 A satellite in this orbit can provide approximately 1 hour of continuous coverage over 8 regions of the world, 45 degrees apart in longitude, 5 and continuous coverage of a particular region on Earth can be provided by just 5-6 satellites, and the lower altitudes of Magic orbits relative to GEO enable optical and RF systems in these orbits to provide comparable capabilities with much smaller, less massive, and less expensive hardware. Magic orbits may be highly advantageous for applications such as blue force tracking because they can enable several small, low-cost satellites to provide the same capabilities as a single much larger and much more expensive GEO satellite. Unfortunately, because Magic orbits have apogees well above LEO, the small, responsive launch vehicles currently in use or development, such as the Pegasus, SpaceX Falcon-1, and AirLaunch QuickReach booster are able to deliver payloads only on the order of kg to this orbit. Deploying a 400-kg class microsatellite to a 3
4 Magic orbit currently requires a launch vehicle on the order of a Taurus XL, at a cost of approximately $40M, and although the Taurus rocket was designed for responsive launch, a 1-week-to-orbit responsive launch capability in this class has not yet been demonstrated in practice. D. System Concept A responsive capability for launching 400-kg class microsatellites to 3-hour Magic orbits could be provided by a combination of a small rocket, such as an AirLaunch QuickReach booster or SpaceX Falcon-1, with a small MXER tether system deployed into a 2-hour Magic orbit. With the MXER tether in a 2- hour Magic orbit, there would be 12 opportunities per day to deliver a payload to the tether, one each from launch regions spaced 30 in longitude around the globe. The launch vehicle would inject the payload into a suborbital trajectory with an apogee altitude of approximately 475 km and an apogee velocity approximately 270 m/s short of circular orbit velocity. The MXER tether system, with a 50-km long tether rotating at a tip velocity of approximately 770 m/s, would pick the payload up from its suborbital apogee and half a rotation later toss it, providing a total!v boost to the payload of 1,486 m/s. This boost would be sufficient to inject the payload directly into a 3-hour Magic orbit. The payload suborbital trajectory, MXER tether orbit, and final payload Magic orbit are illustrated in Figure 3. Figure 3. Arrangement of the tether and payload orbits for a suborbital-to-magic MXER tether system. E. System Sizing Using the MXER Tether design tool created under a previous NASA SBIR effort, we developed a point design for a MXER tether system sized to boost 400 kg-class microsatellites from the apogee of a suborbital trajectory to a 3-hour Magic orbit, as shown in Table 1. The MXER system is sized such that it could be launched on a Delta-II Table 1. Suborbital-to-Magic Boost MXER Tether System Parameters Tether Payload Capability 415 kg Tether Characteristics Grapnel Mass 15 kg Tether mass, High-Tenacity 1,216 kg Useful Payload Capability 400 kg Tether mass, Conductor 250 kg Tether Length 50,000 m Tether System Masses Tether mass ratio 3.53 Total Tether Mass 1,466 kg Tether tip velocity at catch 771 m/s Total Module Mass 741 kg Tether tip velocity at toss 715 m/s Control/Power Active Mass 2,102 kg Total!V 1,486 m/s Grapple mass 35 kg Tether angular rate, inertial frame rad/s Total MXER System Mass 4,344 kg Gravity at Control Station 0.18 g Ballast Mass (LV Upper Stage) 949 kg Gravity at payload 1.35 g Total Orbital Mass 5,293 kg Rendezvous acceleration 1.46 g Joined Pre-Catch System Post-Toss Positions & Velocities Payload Tether Post-catch Tether Payload perigee altitude km apogee altitude km ,840 2,492 2,159 7,777 perigee radius km 6,853 6,901 6,897 6,894 6,942 apogee radius km 5,963 9,218 8,870 8,537 14,155 perigee velocity m/s 7,357 8,128 8,064 7,998 8,778 apogee velocity m/s 8,455 6,085 6,270 6,459 4,305 CM dist. From Station m 2,233 5,733 2,233 CM dist. To Grapple m 47,767 44,267 47,767!V to Reboost m/s 130 Basic Orbital Parameters semi-major axis km 6,408 8,060 7,884 7,715 10,549 eccentricity inclination rad semi-latus rectum km 6,377 7,893 7,760 7,628 9,315 sp. mech. energy m2/s2-3.11e e e e e+07 vis-viva energy m2/s2-6.22e e e e e+07 orbit period min tether rotation period sec rotation ratio
5 rocket, and would utilize the Delta s second stage as its ballast mass. With a slight variation in the design, it could also be launched on the planned SpaceX Falcon-5 rocket. This point design utilizes a modular construction, where the 50-km tether is composed of a number shorter tether modules joined in series and in parallel to create a tether structure with a stepwise-tapered cross section optimized for the specified payload mass and tip velocity. 7 Each of the tether modules would be a Hoytether structure with 4 primary lines, each of which is a 4-braid of 2-ply 111 Tex yarn, and 8 secondary lines, each of which is a 3-braid of single-ply 111 Tex yarn. In calculating the tether sizing, we have assumed the use of either M5, Dyneema, or Zylon yarn, with an 80% strength derating from the quoted tenacities for processing/braiding, an additional 80% strength derating for UV degradation effects, and a 5% mass penalty for atomic oxygen and UV protective coatings. The resulting tether structure uses 73 tether modules, each 2.5 km long, massing 15.5 kg each. To achieve a tapering of the tether to minimize its mass, these modules are combined in parallel and series, with 4 parallel tether modules along the 32.5 km nearest the ballast mass, and 3 modules in series over the rest of the tether, as illustrated in Figure 4. The solar power and energy storage subsystems of the concept design assume the use of projected specific power and energy density capabilities of year 2012 technologies, and are sized to enable reboost of the MXER tether system within 45 days. 0 km 25 km 50 km Ballast Tether Mass Tip Figure 4. Stepwise tapering of the suborbital-to-magic MXER tether structure. F. Payload Performance Unlike the LEO->GEO MXER tether concept, the suborbital-to-magic MXER tether system can inject the microsatellite payload directly into its final orbit, so the payload is not required to perform an apogee burn. Consequently, the only significant payload fraction hit incurred is the mass required for the payload-side of the tether capture grapnel system and the small amount of propellant required for final guidance of the payload to the tether tip during the capture maneuver. Current estimates of grapnel subsystem sizing and rendezvous and capture!v indicate that these mass impacts will total less than 25 kg, and so a DARPA-FALCON class responsive launch vehicle and the MXER tether can deliver microsatellites massing approximately 400 kg to Magic orbits. G. Responsiveness Because the MXER tether is in a 2-hour Magic orbit and can inject its payload directly into a 3-hour Magic orbit, it can provide highly responsive launch capability. For a pad-launched rocket system, there will be one launch opportunity every 24 hours. An air-launch system could likely move readily within a ±30 longitude region to reduce the response time to " 20 hours. LEO to GTO Microsat Launch MXER Tether A responsive capability to deliver small payloads into GEO could enable timely deployment of small satellites such as the DARPA Orbital Express microsatellite and the AFRL Angels nanosatellite for replenishment of GEO spacecraft consumables, servicing or upgrading high-value GEO assets, and various space control applications. Currently, launching a 250 kg class microsatellite into GEO would require a launcher such as a Taurus rocket, at a cost of $20-24M per launch. A. System Concept A low-cost responsive capability for deploying 250-kg class microsatellites into GEO could be provided by a combination of one of the small launch vehicles under development by the DARPA FALCON effort with a small MXER tether system deployed in an elliptical, equatorial orbit. The launch vehicle would be used to deliver a kg payload, consisting of the microsatellite and a GEO-circularization motor, into a low-leo orbit. Over the period of one to several orbits, this payload would maneuver to place itself in a proper trajectory to rendezvous with the tether at its perigee. The tether would then capture the payload and, half a rotation later, toss it into a 5
6 geostationary transfer orbit. Through the catch and toss maneuvers, the tether would provide a!v of nearly 2.3 km/s to the payload. The payload might then dwell in this transfer orbit for several orbit periods to optimize its phasing with respect to its targeted slot in GEO, and then when it is at apogee at GEO altitude it would utilize the motor to provide the 1.5 km/s!v needed to circularize its orbit. B. System Sizing A point design for a MXER tether system sized for transferring 400 kg payloads from 350 km circular orbit to GTO trajectories is shown in Table 2. The system s solar panels and power storage components are sized so that it can reboost its orbit within thirty days so as to enable it to boost up to 12 microsatellites per year. Launching the MXER system into an equatorial LEO orbit would utilize roughly half the launch capacity of a SeaLaunch Zenit-2 rocket, and this point design assumes that the MXER system would retain the Zenit second stage to serve as its ballast mass. As illustrated in Figure 5, the tether structure would be created using a total of 90 identical 5-km long tether modules, each using the same construction as described above, arranged in series and parallel, with the number of parallel tether modules varying from 6 at the ballast end of the tether down to 2 at the tether tip. Table 2. LEO to GTO Microsat-Boost MXER Tether System Parameters. Tether Payload Mass 400 kg Tether Characteristics Circularization Motor Mass 165 kg Tether mass, High Tenacity 2,942 kg Useful Payload to GEO 235 kg Tether mass, Conductor 50 kg Tether System Masses Tether Length 100,000 m Total Tether Mass 2,992 kg Tether mass ratio 7.48 Total Module Mass 882 kg Tether tip velocity at catch 1,155 m/s Control/Power Active Mass 4,471 kg Tether tip velocity at toss 1,127 m/s Grapple mass 35 kg Total!V to Payload 2,282 m/s Total Launch Mass 8,381 kg Tether angular rate, inertial frame rad/s Ballast Mass (Zenit-2 2nd Stg) 8367 kg Gravity at Control Station 0.09 g Total Control Station Mass 12,838 kg Gravity at payload 1.68 g Total Facility Mass 16,748 kg Rendezvous acceleration 1.72 g Joined Pre-Catch System Post-Toss Positions & Velocities Payload Tether Post-catch Tether Payload perigee altitude km apogee altitude km 350 7,530 7,245 6,968 35,849 perigee radius km 6,728 6,825 6,823 6,821 6,918 apogee radius km 6,728 13,908 13,623 13,346 42,227 perigee velocity m/s 7,697 8,852 8,823 8,795 9,951 apogee velocity m/s 7,697 4,344 4,419 4,495 1,630 CM dist. From Station m 2,845 5,127 2,845 CM dist. To Grapple m 97,155 94,873 97,155!V to Reboost m/s 57!V to Correct Apogee m/s -1!V to Correct Precess. m/s -414!V To Circularize m/s 1,442 Basic Orbital Parameters semi-major axis km 6,728 10,367 10,223 10,083 24,573 eccentricity inclination rad semi-latus rectum km 6,728 9,157 9,092 9,028 11,888 sp. mech. energy m2/s2-2.96e e e e e+06 vis-viva energy m2/s2-5.92e e e e e+07 period min station rotation period sec km 50 km 100 km Ballast Tether Mass Tip Figure 5. Stepwise tapering of the LEO-to-GTO Microsat Boost Tether. 6
7 C. Payload Performance Of the 400 kg the responsive rocket would deliver to the MXER tether, approximately 165 kg would be required for the propellant and rocket hardware necessary to transfer it from the apogee of its GTO to a circular GEO. Thus the useful payload to GEO for the proposed system is approximately 235 kg. D. Responsiveness The responsiveness of the MXER tether system for delivering microsatellites to GEO will be determined primarily by the phasing of the tether s orbital line of nodes with respect to the desired GEO longitude. The MXER tether system will have an orbit period of just under three hours, so, as with the previous tether point design, an airlaunch system that can maneuver within a ±45 longitude could deliver the payload to the tether with an " 20-hour period. After the tether catches and tosses the payload, the time to its target orbital slot could be as little as 5.3 hours (half a GTO orbit period), or a few days if the payload must wait in its transfer orbit for several orbits to optimize the phasing of its apogee with the targeted GEO slot. Nonetheless, it appears feasible that an air-launch/mxertether system could deliver 250-kg class microsatellites to the desired GEO positions within about a week s notice, and do so at a considerable per-launch savings relative to current launch systems. Merits and Challenges for Responsive Launch The primary advantage of the proposed MXER tether systems is that they could enable small, low-cost launch vehicles such as those under development by DARPA s FALCON program to provide responsive launch of microsatellites to operationally useful orbits beyond LEO, such as GEO and Magic orbits. While the targeted costs of these responsive launch vehicles are 4 to 5 times lower than the costs of the larger vehicles required to deliver microsatellites directly to these orbits, analysis of the net economic benefit of a system incorporating a MXER tether must factor in amortization of the development, deployment, and operations costs of the tether system. For a single launch, or even the launch of a handful of microsatellites, the extra cost and technical risk of the tether system is difficult to justify. However, for applications requiring the deployment of many small satellites, such as for the deployment of a constellation of microsats into Magic orbits for continuous global blue-force tracking and communications, or deployment of many guardian nanosatellites for GEO asset protection, the reusability of the MXER tether can reduce total transportation costs significantly. For example, deploying a constellation of kg microsatellites into Magic orbits using Taurus launch vehicles would incur a total launch cost on the order of $1B. Using smaller launch vehicles, such as the SpaceX Falcon-1 or AirLaunch QuickReach booster at an estimated cost of $7M per launch each, and a small MXER tether system, with an estimated development, deployment, and operations cost of $275M, the total launch cost could be reduced by a factor of over two. With regards to responsive launch, such high-utilization of the MXER tether system could impact the response time of the system to unplanned needs, as the tether requires 30 to 45 days to restore its orbital energy after each payload boost. The speed with which a MXER tether could deploy multiple microsatellites could be increased simply by utilizing a larger ballast mass for storing orbital momentum. For example, if the MXER system described for Magic orbit applications were to utilize an 8367 kg Zenit-2 second stage as its ballast, rather than the 949 kg Delta II second stage, it could boost six 400 kg microsatellites into 3-hr Magic orbits before it would require reboosting, and it could do so in just a few day s time. Conclusions A MXER tether system could serve as a fully-reusable in-space upper stage to enable the small, responsive launch vehicles currently in development to deliver microsatellites to GEO, Magic orbits, and other operationally useful orbits beyond LEO. We have presented concept point designs for MXER tether facilities sized for boosting payloads from suborbital trajectories directly into 3-hour Magic orbits and from low-leo to geostationary transfer orbits. These MXER tether systems could be deployed using a single launch of existing launch vehicles, and are sized to enable repeated use every 30 to 45 days. Because a tether-based momentum transfer is essentially a highthrust maneuver, the orbit transfer times using a tether system are nearly as short as a conventional chemical rocket propulsion system. Orbit alignment issues, however, constrain the response time of a MXER tether to on the order of eight hours for a Magic-orbit application and several days for a GEO deployment application. Due to the costs of developing and deploying an tether system on orbit, the MXER tether is not cost-competitive for applications requiring the launch of only one or a few microsatellites, but for applications requiring the deployment of many microsatellites in similar orbits, the reusability of the tether system can provide large total transportation cost savings. 7
8 1. Hoyt, R.P., "Design and Simulation of a Tether Boost Facility for LEO->GTO Payload Transport", AIAA Paper , 36th Joint Propulsion Conference, July Sorensen, K., 2001, Conceptual Design and Analysis of an MXER Tether Boost Station, AIAA Paper Hoyt, R.P., "Commercial Development of a Tether Transport System," AIAA Paper , 36th Joint Propulsion Conference, July Hoyt, R.P., Forward, R.L., Uphoff, C.W., Cislunar Tether Transport System, TUI Final Report on NIAC Phase I Contract , May 30, Wertz, J.R., Coverage, Responsiveness, and Accessibility for Various Responsive Orbits, AIAA Paper RS , 3 rd Responsive Space Conference, April 25-28, 2005, Los Angeles, CA. 6. Space, R., Deno, V., Jones, E., Transforming National Security Payloads, AIAA Paper RS , 2nd Responsive Space Conference, April 2004, Los Angeles, CA. 7. Hoyt, R.P., Slostad, J.T., Frank, S.S., "A Modular Momentum-Exchange/Electrodynamic-Reboost Tether System Architecture," AIAA Paper , 39 th Joint Propulsion Conference, Huntsville, AL, July
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