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Experimenting with GPS on Board High-Altitude Balloons By Peter J. Buist, Sandra Verhagen, Tatsuaki Hashimoto, Shujiro Sawai, Shin-Ichiro Sakai, Nobutaka Bando, and Shigehito Shimizu In this month’s column, we look at how a team of Dutch and Japanese researchers is using GPS to determine the attitude of a payload launched from a high-altitude balloon. INNOVATION INSIGHTS by Richard Langley IT IS NOT WIDELY RECOGNIZED that relative or differential positioning using GNSS carrier-phase measurements is an interferometric technique. In interferometry, the difference in the phase of an electromagnetic wave at two locations is precisely measured as a function of time. The phase differences depend, amongst other factors, on the length and orientation of the baseline connecting the two locations. The classic demonstration of interferometry, showing that light could be interpreted as a wave phenomenon, was the 1803 double-slit experiment of the English polymath, Thomas Young.  Many of us recreated the experiment in high school or university physics classes. A collimated beam of light is shone through two small holes or narrow slits in a barrier placed between the light source and a screen. Alternating light and dark bands are seen on the screen. The bands are called interference fringes and result from the waves emanating from the two slits constructively and destructively interfering with each other. The colors seen on the surface of an audio CD, the colors of soap film, and those of peacock feathers and the wings of the Morpho butterfly are all examples of interference. Interference fringes also reveal information about the source of the waves. In 1920, the American Nobel-prize-winning physicist, Albert Michelson, used an interferometer attached to a large telescope to measure the diameter of the star Betelgeuse. Radio astronomers extended the concept to radio wavelengths, using two antennas connected to a receiver by cables or a microwave link. Such radio interferometers were used to study the structure of various radio sources including the sun. Using atomic frequency standards and magnetic tape recording, astronomers were able to sever the real-time links between the antennas, giving birth to very long baseline interferometry (VLBI) in 1967. The astronomers used VLBI to study extremely compact radio sources such as the enigmatic quasars. But geodesists realized that high resolution VLBI could also be used to determine — very precisely — the components of the baseline connecting the antennas, even if they were on separate continents. That early work in geodetic VLBI led to the concept developed by Charles Counselman III and others at the Massachusetts Institute of Technology in the late 1970s of recording the carrier phase of GPS signals with two separate receivers and then differencing the phases to create an observable from which the components of the baseline connecting the receivers’ antennas could be determined. This has become the standard high-precision GPS surveying technique. Later, others took the concept and applied it to short baselines on a moving platform allowing the attitude of the platform to be determined. In this month’s column, we look at how a team of Dutch and Japanese researchers is using GPS to determine the attitude of a payload launched from a high-altitude balloon. The Japan Aerospace Exploration Agency (JAXA) is developing a system to provide a high-quality, long duration microgravity environment using a capsule that can be released from a high-altitude balloon. Since 1981, an average of 100 million dollars is spent every year on microgravity research by space agencies in the United States, Europe, and Japan. There are many ways to achieve microgravity conditions such as (in order of experiment duration) drop towers, parabolic flights, balloon drops, sounding rockets, the Space Shuttle (unfortunately, no longer), recoverable satellites, and the International Space Station. The order of those options is also approximately the order of increasing experiment cost, with the exception of the balloon drop. Besides being cost-efficient, a balloon-based system has the advantage that no large acceleration is required before the experiment can be performed, which could be important for any delicate equipment that is carried aloft. In this article, we will describe JAXA’s Balloon-based Operation Vehicle (BOV) and the experiments carried out in cooperation with Delft University of Technology (DUT) using GPS on the gondola of the balloon in 2008 (single baseline estimation) and 2009 (full attitude determination and relative positioning). The attitude calculated using observations from the onboard GPS receiver during the 2009 experiment is compared with that from sun and geomagnetic sensors as well as that provided by the GPS receiver itself. Nowadays, GNSS is used for absolute and relative positioning of aircraft and spacecraft as well as determination of their attitude. What these applications have in common is that, in general, the orientation of the platform is changing relatively slowly and, to a large extent, predictably. Here, we will discuss a balloon-based application where the orientation of the platform, at times, varies very dynamically and unpredictably. Balloon Experiments Scientific balloons have been launched in Japan by the Institute of Space and Astronautical Science (ISAS), now a division of JAXA, since 1965, and it holds the world record for the highest altitude reached by a balloon — 53 kilometers. Recently, balloon launches have taken place from the Multipurpose Aviation Park (MAP) in Taiki on the Japanese island of Hokkaido. The balloons are launched using a so-called sliding launcher. The sliding launcher and the hanger at MAP are shown in FIGURE 1. Balloon-Based Operation Vehicle. As previously mentioned, JAXA’s BOV has been designed for microgravity research. The scenario of a microgravity experiment is illustrated in FIGURE 2. The vehicle is launched with a balloon, which carries it to an altitude of more than 40 kilometers, where it is released. Figure 2. Microgravity experiment procedure. After separation, the BOV is in free fall until the parachute is released so that the vehicle can make a controlled landing in the sea. The BOV is recovered by helicopter and can be reused. The capsule has a double-shell drag-free structure and it is controlled so as not to collide with the inner shell. The flight capsule, shown hanging at the sliding launcher in Figure 1, consists of a capsule body (the outer shell), an experiment module (the inner shell), and a propulsion system. The inner capsule shown in FIGURE 3 is kept in free-falling condition after release of the BOV from the balloon, and no disturbance force acts on this shell and the microgravity experiment it contains. Figure 3. Balloon-based Operation Vehicle overview. The outer shell has a rocket shape to reduce aerodynamic disturbances. The distance between the outer and inner shells is measured using four laser range sensors. Besides the attitude of the BOV, the propulsion system controls the outer shell so that it does not collide with the inner s hell. The propulsion system uses 16 dry-air gas-jet thrusters of 60 newtons, each controlling it not only in the vertical direction but also in the horizontal direction to compensate disturbances from, for example, wind. Flight experiments with the BOV were carried out in 2006 (BOV1) and in 2007 (BOV2), when a fine microgravity environment was established successfully for more than 7 and 30 seconds, respectively. Attitude Determination. Balloon experiments are performed for a large number of applications, some of which require attitude control. Observations from balloon-based telescopes are an example of an application in which stratospheric balloons have to carry payloads of hundreds of kilograms to an altitude of more than 30 kilometers to be reasonably free of atmospheric disturbances. In this application, the typical requirement for the control of the azimuth angle of the platform is to within 0.1 degrees. JAXA is developing the Attitude Determination Package (ADP, see TABLE 1) for a future version of the BOV, which contains Sun Aspect Sensors (SAS), the Geomagnetic Aspect Sensor (GAS), an inclinometer, and a gyroscope. Each SAS determines the attitude with a resolution of one degree around one axis and the ADP has four of these sensors pointing in different directions. Inherently, this type of sensor can only provide attitude information if the sun is within the field of view of the sensor. The GAS also determines one-axis attitude. The resolution of magnetic flux density measured by the GAS and applied to obtain an attitude estimate is 50 parts per million. This results in an attitude determination accuracy of the GAS of 1.5 degrees with dynamic bias compensation. The inclinometer determines two-axis attitude with a resolution of 0.2 degrees. Table 1. Sensor specifications. Background GPS Experiment. DUT is involved in a precise GPS-based relative positioning and attitude determination experiment onboard the BOV and the gondola of the balloon. Not only is the BOV a challenging environment, but so is the gondola itself, because of the rather rapidly varying attitude (due to wind and — especially at takeoff and separation — rotation) and the high altitude. For a GPS experiment, the altitude of around 40 kilometers is interesting as not many experiments have been performed at this height, which is higher than the altitude reachable by most aircraft but below the low earth orbits for spacecraft. An altitude of about 40 kilometers is a harsh environment for electrical devices because the pressure is about 1/1000 of an atmosphere and the temperature ranges from –60 to 0 degrees Celsius. Furthermore, the antennas are placed under the balloon, which affects the received GPS signals. Later on, we will describe in detail two experiments performed in 2008 and 2009, respectively. The GPS receivers on the first flight in 2008 were a navigation-type receiver, not especially adapted for such an experiment. The data was collected on a single baseline with two dual-frequency receivers. The receivers were controlled by, and the data stored on, an ARM Linux board using an RS-232 serial connection. For the second flight in 2009, we used a multi-antenna receiver, for which the Coordinating Committee for Multilateral Export Controls altitude restriction was explicitly removed. This receiver has three RF inputs that can be connected to three antennas, so the observations from the three antennas are time-synchronized by a common clock. The receiver has the option to store observations internally, which simplified the control of the GPS experiment. We used three antennas: one L1/L2 antenna as the main antenna and two L1 antennas as auxiliary antennas. Theory of Attitude Determination In this section, we will provide background information on the models applied in our GPS experiment. More details can be found in the publications listed in Further Reading. Standard LAMBDA. Most GNSS receivers make use of two types of observations: pseudorange (code) and carrier phase. The pseudorange observations typically have a precision of decimeters, whereas carrier-phase observations have precisions up to the millimeter level. Carrier-phase observations are affected, however, by an unknown number of integer-cycle ambiguities, which have to be resolved before we can exploit the higher precision of these observations. The observation equations for the double-difference (between satellites and between antennas/receivers) can be written for a single baseline as a system of linearized observation equations:     (1) where E(y) is the expected value and D(y) is the dispersion of y. The vector of observed-minus-computed double-difference carrier-phase and code observations is given by y; z is the vector of unknown ambiguities expressed in cycles rather than distance units to maintain their integer character; b is the baseline vector, which is unknown for relative navigation applications but for which the length in attitude determination is generally known; A is a design matrix that links the data vector to the vector z; and B is the geometry matrix containing normalized line-of-sight vectors. The variance-covariance matrix of y is represented by the positive definite matrix Qyy, which is assumed to be known. The least-squares solution of the linear system of observation equations as introduced in Equation (1) is obtained using   from:   .  (2) The integer solution of this system can be obtained by applying the standard Least-Squares Ambiguity Decorrelation Adjustment (LAMBDA) method. Constrained LAMBDA. In applications for which some of the baseline lengths are known and constant, for example GNSS-based attitude determination, we can exploit the so-called baseline-constrained model. Then, the baseline-constrained integer ambiguity resolution can make use of the standard GNSS model by adding the length constraint of the baseline, ||b|| = , where  is known. The least-squares criterion for this problem reads:   .(3) The solution can be obtained with the baseline-constrained (or C-)LAMBDA method, which is described in referred literature listed in Further Reading. Later on, we will refer to the attitude calculated by this approach simply as C-LAMBDA. For platforms with more than one baseline, the C-LAMBDA method can be applied to each baseline individually, and the full attitude can be determined using those individual baseline solutions. For completeness, we also mention a recently developed solution of this problem, called the multivariate-constrained (MC-) LAMBDA, which integrally accounts for both the integer and attitude matrix. Both approaches are applied in the analyses of the BOV data. Onboard Attitude Determination. In this article, we also use the onboard estimate of the attitude as provided by the multi-antenna receiver. The method applied in the receiver is based on a Kalman filter and the ambiguities are resolved by the standard LAMBDA method. The baseline length, if the information is provided to the receiver a priori, is used to validate the results. For baseline lengths of about 1 meter, the receiver’s pitch and roll accuracy is about 0.60 degrees, and heading about 0.30 degrees according to the receiver manual. We will refer to the attitude as provided by the receiver as KF. Flight Experiments In this section, we will discuss our analyses of the GPS data from two of the BOV experiments. Gondola Experimental Flight 2008. In September 2008, we performed a test of the ADP for a future version of the BOV and a GPS system containing two navigation-grade GPS receivers. The goal of the experiment was to confirm nominal performance in the real environment of the ADP sensors and GPS receivers on the gondola; therefore, the BOV was not launched. The data from the single baseline was used to determine the pointing direction of the gondola, an application referred to as the GNSS compass. The receivers and the controller were stored in an airtight container (see FIGURE 4) and the antennas were sealed in waterproof bags. The location of the two GPS antennas on the gondola is indicated in Figure 4. The baseline length was 1.95 meters. Both receivers used their own individual clocks, so observations were not synchronized. The trajectory (altitude) of this flight is shown in the right-hand side of Figure 4, with the longitude and latitude shown in FIGURE 5. This is a typical flight profile for our application. The flight takes about three hours and reaches an altitude of more than 40 kilometers. Figure 4B. Single baseline experiment performed in September 2008, the flight trajectory (altitude). First, the balloon makes use of the wind direction in the lower layers of the atmosphere, which brings it eastwards. During this part of the flight, the balloon is kept at a maximum altitude of about 12 kilometers. After about 30 minutes, the altitude is increased to make use of a different wind direction that carries the balloon back in the westerly direction toward the launch base in order to ease the recovery of the capsule and/or the gondola. At the end of the flight, there is a parachute-guided fall over 40 kilometers to sea level, for both the gondola and the BOV (if it is launched), which takes about 30 minutes. In this experiment, we could confirm the nominal operation of some of the sensors and reception of the GPS signals on the gondola under the large balloon. Gondola Experimental Flight 2009. In May 2009, the third flight of the BOV was performed. The three GPS receiver antennas and the other attitude sensors were placed on an alignment frame for stiffness, which was then attached to the gondola. Furthermore, we used a ground station to demonstrate the combination of GPS-based attitude determination and relative positioning between the platform and the ground station. As the motion of the system is rather unpredictable, we used a kinematic approach for both attitude determination and relative positioning. Preflight static test: Before the flight, we did a ground test using the actual antenna frame of the gondola (see FIGURE 6). The roll, pitch, and heading angles for this static test are shown on the right-hand side of this figure. Due to the geometry of the baselines, the heading angle is more accurate. For this static test, we can calculate the standard deviation of the three angles to confirm the accuracy achievable for the flight test. These results are summarized in TABLE 2. For the baselines with a length of about 1.4 meters, we achieved an accuracy of about 0.25 degrees for the roll and pitch angles and 0.1 degrees for heading, which is as expected from the lengths and geometry of the baselines. Using single-epoch data, we could resolve the ambiguities correctly for more than 99 percent of the epochs (see TABLE 3). Also, the standard deviation of the receiver’s Kalman-filter-based attitude estimate (KF) is included in the table. The accuracy is, after convergence of the filter, similar to our C-LAMBDA result, although the applied method is very different. The Kalman filter takes about 10 seconds to converge for this static experiment, whereas the C-LAMBDA method provides this accuracy from the very first epoch. For completeness, the instantaneous success rate of the standard LAMBDA and MC-LAMBDA methods are also included in Table 3. Figure 6. Static experiment: C-LAMBDA-based attitude estimates. Table 2. Standard deviation of attitude angles for static test. Table 3. Single-epoch, overall success rate for baseline 1-2 (static experiment). Gondola nominal flight: Next, we applied the same GPS configuration on the gondola. An important difference with respect to the static field experiment is that the antennas were now placed under the balloon and inside waterproof bags (see the picture on the left-hand side of FIGURE 7). The right-hand side of Figure 7 shows the flight trajectory (altitude) of the experiment. At 21:05 UTC (07:05 Japan Standard Time), the balloon was released from the sliding launcher (Figure 1). In 2.5 hours, the balloon reached an altitude of more than 41 kilometers from which the BOV was dropped. At 23:55, the BOV was released from the Gondola, and at 23:59 the gondola was separated from the balloon. After the release of the BOV, the balloon and gondola ascended more than 2 kilometers because of the reduced mass of the system. For this flight, the attitude determination package and the GPS system were installed on the gondola to confirm the nominal performance of all the sensors. Figure 7A. Full attitude experiment performed in May 2009, sensor configuration. Figure 7B. Full attitude experiment performed in May 2009, flight trajectory (altitude). Using the new GPS receiver with three antennas, we are able to calculate the full attitude of the gondola. The roll and pitch estimates, from both C-LAMBDA and KF, are shown in FIGURE 8. The heading angle from the GPS-based C-LAMBDA and KF, and that from the GAS and SAS sensors are shown in FIGURE 9. As explained in a previous section, the four SAS sensors will only output an attitude estimate if the sun is in the field of view of a sensor. Therefore we can distinguish four bands in the heading estimate of the SAS, corresponding to the individual sensors (indicated in Figure 7 as SAS1 to SAS4). Figure 8A. GPS results for roll angles during nominal flight. Figure 8B. GPS results for pitch angles during nominal flight. Figure 9A. GPS results for heading angle during nominal flight. Figure 9B. GAS and SAS results for heading angle during nominal flight. The number of locked GPS satellites at the main antenna is shown on the right-hand side of Figure 7. Before takeoff, we saw that the number of locked channels varies rapidly due to obstructions, but after takeoff the number is rather constant until the BOV is separated from the gondola. Before takeoff, the GPS observations are affected by the obstruction of the sliding launcher and therefore ambiguity resolution is only possible on the second baseline (see Figure 8). Also, the GPS receiver itself does not provide an attitude estimation during this phase of the experiment. During takeoff, we see large variations in orientation of the gondola (up to 20 degrees (±10 degrees) for both roll and pitch), which can be estimated well by both C-LAMBDA and KF. Again, the Kalman filter takes a few epochs to converge (in this case, 15 seconds from takeoff), whereas the C-LAMBDA method provides an accurate solution from the very first epoch. After takeoff, the attitude of the gondola stabilizes and the C-LAMBDA and KF attitude estimates are very similar. We investigated the difference between the attitude estimation from the different sensors during nominal flight. The mean and standard deviations of the differences are shown in TABLE 4. If we compare the C-LAMBDA and KF attitudes, we observe biases for all angles. This is something we have to investigate further, but the most likely cause for this bias is the time delay of the Kalman filter in response to changes in attitude, as we observed in the static experiment in the form of convergence time. Table 4. Attitude differences (offset/standard deviation) for flight test of 2009. The standard deviation for the difference in the estimates of roll, pitch, and heading is as expected. For the comparison with the other sensors, we use the C-LAMBDA attitude as the reference. Between C-LAMBDA and GAS/SAS, we observe a bias, most likely due to minor misalignment issues between the sensors. The standard deviations in Table 4 are in line with expectation based on the sensor specifications. During this part of the flight, we achieved a single-epoch, single-frequency empirical overall success rate for ambiguity resolution on the two baselines of 95.09 percent. As a reference, we also include in TABLE 5 the success rate for standard LAMBDA using observations from a single epoch. If we make use of the MC-LAMBDA method, the success rate is increased to 99.88 percent as shown in the table. The success rate is higher as the integrated model for all the baselines is stronger. Table 5. Single-epoch, overall success rate for baseline 1-2 (flight experiment). Gondola flight after BOV separation: After the separation of the BOV from the gondola, the gondola starts to ascend and sway. FIGURE 10 contains roll and pitch estimates for this part of the flight until the gondola separation. In the figure, we see large variations in the orientation of the gondola (up to 40 (±20) degrees for roll and 20 (± 10) degrees for pitch). It is interesting that after BOV separation, during the large maneuvers of the gondola caused by the separation, both KF and C-LAMBDA estimates are available but to a certain extent are different. Table 4 also contains standard deviations and biases between C-LAMBDA and KF for this part of the flight. Figure 10A. GPS results for roll angles during nominal flight. Figure 10B. GPS results for pitch angles during nominal flight. We conclude that the differences (standard deviation but also bias) between C-LAMBDA and KF — both for roll and pitch — are increased compared to the nominal part of the flight. This confirms our expectation that the Kalman-filter-based result lags behind the true attitude in dynamic situations, whereas the C-LAMBDA result based on single-epoch data should be able to provide the same accurate estimate as during the other phases of the flight. Future Work For the final phase of the experiment program, we would like to collect multi-baseline data from a number of vehicles. The preferred option for the experiment is three antennas (two independent baselines) on the BOV, and two antennas (one baseline) on the gondola. Furthermore, similar to our 2009 experiment, a number of antennas at a reference station could be used. The goal of the final phase of the program is to collect data for offline relative positioning and attitude determination, though real-time emulation, between a number of vehicles that form a network. Acknowledgments Peter Buist thanks Professor Peter Teunissen for support with the theory behind ambiguity resolution and, including Gabriele Giorgi, for the pleasant cooperation during our research. The MicroNed-MISAT framework is kindly thanked for their support. The research of Sandra Verhagen is supported by the Dutch Technology Foundation STW, the Applied Science Division of The Netherlands Organisation for Scientific Research (NWO), and the Technology Program of the Ministry of Economic Affairs. This article is based on the paper “GPS Experiment on the Balloon-based Operation Vehicle” presented at the Institute of Electrical and Electronics Engineers / Institute of Navigation Position Location and Navigation Symposium 2010, held in Indians Wells, California, May 6–8, 2010, where it received a best-paper-in-track award. Manufacturers The Attitude Determination Package’s Sun Aspect Sensor is based on photodiodes manufactured by Hamamatsu Photonics K.K.; the Geomagnetic Aspect Sensor is based on magnetometers manufactured by Bartington Intruments Ltd.; the inclinometer is based on a module manufactured by Measurement Specialties; and the gyro is manufactured by Silicon Sensing Systems Japan, Ltd. For the 2009 experiment, we used a Septentrio N.V. PolaRx2@ multi-antenna receiver with S67-1575-96 and S67-1575-46 antennas from Sensor Systems Inc. Details on the receivers and antennas used for the 2008 experiment are not publicly available. A Trimble Navigation Ltd. R7 receiver and two NovAtel Inc. OEMV receivers were used at the reference ground station. The ARM-Linux logging computer is an Armadillo PC/104 manufactured by Atmark Techno, Inc. Peter J. Buist is a researcher at Delft University of Technology in Delft, The Netherlands. Before rejoining DUT in 2006, he developed GPS receivers for the SERVIS-1, USERS, ALOS, and other satellites and the H2A rocket, and subsystems for QZSS in the Japanese space industry. Sandra Verhagen is an assistant professor at Delft University of Technology in Delft, The Netherlands. Together with Peter Buist, she is working on the Australian Space Research Program GARADA project on synthetic aperture radar formation flying. Tatsuaki Hashimoto received his Ph.D. in electrical engineering from the University of Tokyo in 1990. He is a professor of the Institute of Space and Astronautical Science (ISAS), Japan Aerospace Exploration Agency (JAXA). Shujiro Sawai received his Ph.D. in engineering from the University of Tokyo in 1994. He is an associate professor at ISAS/JAXA. Shin-Ichiro Sakai received his Ph.D. degree from the University of Tokyo in 2000. He joined ISAS/JAXA in 2001 and became associate professor in 2005. Nobutaka Bando received a Ph.D. in electrical engineering from the University of Tokyo in 2005. He is an assistant professor at ISAS/JAXA. Shigehito Shimizu received a master’s degree in engineering from Tohoku University in Sendai, Japan, in 2007. He is an engineer in the Navigation, Guidance and Control Group at JAXA. FURTHER READING • Authors’ Proceedings Paper “GPS Experiment on the Balloon-based Operation Vehicle” by P.J. Buist, S. Verhagen, T. Hashimoto, S. Sawai, S-I. Sakai, N. Bando, and S. Shimizu in Proceedings of PLANS 2010, IEEE/ION Position Location and Navigation Symposium, Indian Wells, California, May 4–6, 2010, pp. 1287–1294, doi: 10.1109/PLANS.2010.5507346. • Balloon Applications “Development of Vehicle for Balloon-Based Microgravity Experiment and Its Flight Results” by S. Sawai, T. Hashimoto, S. Sakai, N. Bando, H. Kobayashi, K. Fujita, T. Yoshimitsu, T. Ishikawa, Y. Inatomi, H. Fuke, Y. Kamata, S. Hoshino, K. Tajima, S. Kadooka, S. Uehara, T. Kojima, S. Ueno, K. Miyaji, N. Tsuboi, K. Hiraki, K. Suzuki, and K. M. T. Nakata in Journal of the Japan Society for Aeronautical and Space Sciences, Vol. 56, No. 654, 2008, pp. 339–346, doi: 10.2322/jjsass.56.339. “Development of the Highest Altitude Balloon” by T. Yamagami, Y. Saito, Y. Matsuzaka, M. Namiki, M. Toriumi, R. Yokota, H. Hirosawa, and K. Matsushima in Advances in Space Research, Vol. 33, No. 10, 2004, pp. 1653–1659, doi: 10.1016/j.asr.2003.09.047. • Attitude Determination “Testing of a New Single-Frequency GNSS Carrier-Phase Attitude Determination Method: Land, Ship and Aircraft Experiments” by P.J.G. Teunissen, G. Giorgi, and P.J. Buist in GPS Solutions, Vol. 15, No. 1, 2011, pp. 15–28, doi: 10.1007/s10291-010-0164-x, 2010. “Attitude Determination Methods Used in the PolarRx2@ Multi-antenna GPS Receiver” by L.V. Kuylen, F. Boon, and A. Simsky in Proceedings of ION GNSS 2005, the 18th International Technical Meeting of the Satellite Division of The Institute of Navigation, Long Beach, California, September 13–16, 2005, pp. 125–135. “Design of Multi-sensor Attitude Determination System for Balloon-based Operation Vehicle” by S. Shimizu, P.J. Buist, N. Bando, S. Sakai, S. Sawai, and T. Hashimoto, presented at the 27th ISTS International Symposium on Space Technology and Science, Tsukuba, Japan, July 5–12, 2009. “Development of the Integrated Navigation Unit; Combining a GPS Receiver with Star Sensor Measurements” by P.J. Buist, S. Kumagai, T. Ito, K. Hama, and K. Mitani in Space Activities and Cooperation Contributing to All Pacific Basin Countries, the Proceedings of the 10th International Conference of Pacific Basin Societies (ISCOPS), Tokyo, Japan, December 10–12, 2003, Advances in the Astronautical Sciences, Vol. 117, 2004, pp. 357–378. “Solving Your Attitude Problem: Basic Direction Sensing with GPS” by A. Caporali in GPS World, Vol. 12, No. 3, March 2001, pp. 44–50. • Ambiguity Estimation “Instantaneous Ambiguity Resolution in GNSS-based Attitude Determination Applications: the MC-LAMBDA Method” by G. Giorgi, P.J.G. Teunissen, S. Verhagen, and P.J. Buist in Journal of Guidance, Control and Dynamics, accepted for publication, April 2011. “Integer Least Squares Theory for the GNSS Compass” by P.J.G. Teunissen in Journal of Geodesy, Vol. 84, No. 7, 2010, pp. 433–447, doi: 10.1007/s00190-010-0380-8. “The Baseline Constrained LAMBDA Method for Single Epoch, Single Frequency Attitude Determination Applications” by P.J. Buist in Proceedings of ION GPS 2007, the 20th International Technical Meeting of the Satellite Division of The Institute of Navigation, Fort Worth, Texas, September 25–28, 2007, pp. 2962–2973. “The LAMBDA Method for the GNSS Compass” by P.J.G. Teunissen in Artificial Satellites, Vol. 41, No. 3, 2006, pp. 89–103, doi: 10.2478/v10018-007-0009-1. “Fixing the Ambiguities: Are You Sure They’re Right?” by P. Joosten and C. Tiberius in GPS World, Vol. 11, No. 5, May 2000, pp. 46–51. “The Least-Squares Ambiguity Decorrelation Adjustment: a Method for Fast GPS Integer Ambiguity Estimation” by P.J.G. Teunissen in Journal of Geodesy, Vol. 70, No. 1–2, 1995, pp. 65–82, doi: 10.1007/BF00863419. • Relative Positioning “A Vectorial Bootstrapping Approach for Integrated GNSS-based Relative Positioning and Attitude Determination of Spacecraft” by P.J. Buist, P.J.G. Teunissen, G. Giorgi, and S. Verhagen in Acta Astronautica, Vol. 68, No. 7-8, 2011, pp. 1113–1125, doi: 10.1016/j.actaastro.2010.09.027.

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Audiovox ild35-090300 ac adapter 9v 300ma used 2x5.5x10mm -(+)-,failure to comply with these rules may result in.canon k30216 ac adapter 24v 0.5a battery charger,texas instruments xbox 5.1 surround sound system only no any thi,sino-american sa-1501b-12v ac adapter 12vdc 4a 48w used -(+)- 2..the frequencies are mostly in the uhf range of 433 mhz or 20 – 41 mhz,s120s10086 ac adapter 12vdc 1a used -(+) 2x5.5x12mm 90° round ba,we – in close cooperation with our customers – work out a complete and fully automatic system for their specific demands.arac-12n ac adapter 12vdc 200ma used -(+) plug in class 2 power,sony bc-csgc 4.2vdc 0.25a battery charger used c-2319-445-1 26-5.golden power gp-lt120v300-ip44 ac adapter 12v 0.3a 3.6w cut wire,curtis dv-04550s 4.5vdc 500ma used -(+) 0.9x3.4mm straight round.sony ac-v500 ac adapter 6.5vdc 1.5a 8.4v dc 1.1a charger power s.and lets you review your prescription history.phihong psac10r-050 ac adapter 5vdc 2a used -(+) 2x5.5mm 100-240.the source ak00g-0500100uu 5816516 ac adapter 5vdc 1a used ite.energizer im050wu-100a ac adapter 5vdc 1a used 1.7x5.4x9.8mm rou.ppp014s replacement ac adapter 19vdc 4.7a used 2.5x5.4mm -(+)- 1.high voltage generation by using cockcroft-walton multiplier,toshiba pa3743e-1ac3 ac adapter 19vdc 1.58a power supply adp-30j,digipower tc-500 travel charger 4.2/8 4vdc 0.75a used battery po,hios cb-05 cl control box 20-30vdc 4a made in japan,this paper uses 8 stages cockcroft –walton multiplier for generating high voltage,acbel api3ad14 ac adapter 19vdc 6.3a used female 4pin din 44v086,dve dsa-9w-09 fus 090080 ac adapter 9v 0.8a switching power adap,creative ud-1540 ac adapter dc 15v 4a ite power supplyconditio.delta adp-51bb ac adapter +24v-2.3a -(+) 2.5x5.5mm 230367-001 po.3com 61-026-0127-000 ac adapter 48v dc 400ma used ault ss102ec48.spi sp036-rac ac adapter 12vdc 3a used 1.8x4.8mm 90° -(+)- 100-2.southwestern bell freedom phone 9a200u ac adapter 9vac 200ma cla,get contact details and address | …,wifi jamming allows you to drive unwanted,insignia ns-pltpsp battery box charger 6vdc 4aaa dc jack 5v 500m,condor 48a-9-1800 ac adapter 9vac 1.8a ~(~) 120vac 1800ma class.ts30g car adapter 16.2v dc 2.6a 34w used ac adapter 3-pin,our grocery app lets you view our weekly specials,sn lhj-389 ac adapter 4.8vdc 250ma used 2pin class 2 transformer.

Canon cb-2lwe ac adapter 8.4vdc 0.55a used battery charger,a cell phone jammer - top of the range,information including base station identity,generation of hvdc from voltage multiplier using marx generator.li shin 0405b20220ac adapter 20vdc 11a -(+) used 5x7.4mm tip i.pepsi diet caffein- free cola soft drink in bottles,doing so creates enoughinterference so that a cell cannot connect with a cell phone,cwt pa-a060f ac adapter 12v 5a 60w power supply.delphi 41-6-1000d ac adapter 6vdc 1000ma skyfi skyfi2 xm radio,kodak easyshare camera dock ii cx4200 series with 7v ac adapter,altec lansing acs340 ac adapter 13vac 4a used 3pin 10mm mini din.ryobi p113 ac adapter 18vdc used lithium ion battery charger p10,rayovac ps8 9vdc 16ma class 2 battery charger used 120vac 60hz 4,epson m235a ac adapter 24v 1.5a thermal receipt printer power 3p.for more information about the jammer free device unlimited range then contact me,audf-20090-1601 ac adapter 9vdc 1500ma -(+) 2.5x5.5mm 120vac pow.be possible to jam the aboveground gsm network in a big city in a limited way,replacement 3892a300 ac adapter 19.5v 5.13a 100w used,ppp003sd replacement ac adapter 18.5v 6.5a laptop power supply r,component telephone u090025a12 ac adapter 9vac 250ma ~(~) 1.3x3.,finecom sa106c-12 12vdc 1a replacement mu12-2120100-a1 power sup,toshiba pa-1750-07 ac adapter 15vdc 5a desktop power supply nec,unifive ul305-0610 ac adapter 6vdc 1a used -(+) 2.5x5.5mm ite po,310mhz 315mhz 390mhz 418mhz 433mhz 434mhz 868mhz.access to the original key is only needed for a short moment,oem ads0248-w 120200 ac adapter 12v dc 2a used -(+)- 2.1x5.5mm,potrans uwp01521120u ac adapter 12v 1.25a ac adapter switching p,datalogic sa06-12s05r-v ac adapter 5.2vdc 2.4a used +(-) 2x5.5m.compaq 2932a ac adapter 5vdc 1500ma used 1 x 4 x 9.5mm,sears craftsman 974775-001 battery charger 12vdc 1.8a 9.6v used,toshiba pa3755e-1ac3 ac adapter 15vdc 5a used -(+) tip 3x6.5x10m,kodak xa-0912 ac adapter 12v dc 700 ma -(+) li-ion battery charg,touch m2-10us05-a ac adapter +5vdc 2a used -(+) 1x3.5x7mm round.madcatz 2752 ac adapter 12vdc 340ma used -(+) class 2 power supp,rova dsc-6pfa-12 fus 090060 ac adapter +9vdc 0.6a used power sup,chang zhou rk aac ic 1201200 ac adapter 12vac 1200ma used cut wi,apple m8010 ac adapter 9.5vdc 1.5a +(-) 25w 2x5.5mm 120vac power.

Finecom 34w-12-5 ac adapter 5vdc 12v 2a 6pin 9mm mini din dual v,mw41-1200600 ac adapter 12vdc 600ma used -(+) 2x5.5x9mm round ba.dell adp-150eb b ac adapter 19.5v dc 7700ma power supply for ins.qc pass e-10 car adapter charger 0.8x3.3mm used round barrel.ridgid r840091 ac adapter 9.6-18v 4.1a used lithium ion ni-cad r.eng epa-201d-07 ac adapter 7vdc 2.85a used -(+) 2x5.5x10mm round,in this blog post i'm going to use kali linux for making wifi jammer.rocketfish rf-sne90 ac adapter 5v 0.6a used,the light intensity of the room is measured by the ldr sensor,this project uses arduino and ultrasonic sensors for calculating the range,browse recipes and find the store nearest you,radioshack 23-321 ac adapter 12v dc 280ma used 2-pin atx connect.finecom ah-v420u ac adapter 12v 3.5a power supply,group west trc-12-0830 ac adapter 12vdc 10.83a direct plug in po.aplha concord dv-1215a ac adapter 12vac,condor a9-1a ac adapter 9vac 1a 2.5x5.5mm ~(~) 1000ma 18w power,buslink dsa-009f-07a ac adapter 7.5vdc 1.2a -(+) 1.2x3.5mm 100-2,gfp-151da-1212 ac adapter 12vdc 1.25a used -(+)- 2x5.5mm 90° 100,d-link cg2412-p ac adapter 12vdc 2a -(+) used 1.2x3.75mm europe,hipro hp-ok065b13 ac adapter 18.5vdc 3.5a 65w used -(+) 2x5.5x9..d9-12-02 ac adapter 6vdc 1.2a -(+) 1200ma used 2x5.5mm 120vac pl,a&d tb-233 ac adapter 6v dc 500ma used -(+) 2x5.5mm barrel 120va.li shin 0405b20220 ac adapter 20vdc 11a 4pin (: :) 10mm 220w use,uniden ac6248 ac adapter 9v dc 350ma 6w linear regulated power s.canon ac-380 ac adapter 6.3vdc 0.4a power supply.ibm 02k6661 ac adapter 16vdc 4.5a -(+) 2.5x5.5mm 100-240vac used,kinyo teac-41-090800u ac adapter 9vac 800ma used 2.5x5.5mm round,disrupting a cell phone is the same as jamming any type of radio communication,oem ad-0760dt ac adapter 7.vdc 600ma new -(+)- 2.1x5.4x10mm.this article shows the different circuits for designing circuits a variable power supply,toshiba liteon pa-1121-08 ac power adapter 19v 6.3afor toshiba,toshiba pa3080u-1aca paaca004 ac adapter 15vdc 3a used -(+)- 3x6,delta adp-65hb bb ac adapter 19vdc 3.42a used-(+) 2.5x5.5mm 100-,simple mobile jammer circuit diagram cell phone jammer circuit explanation,cellular inovations acp-et28 ac adapter 5v 12v dc travel charger.backpack bantam ap05m-uv ac adapter 5v dc 1a used.buffalo ui318-0526 ac adapter 5vdc 2.6a used 2.1x5.4mm ite power.

Panasonic cf-aa1653a ac adapter 15.6vdc 5a ite power supply cf-1,apx sp40905q ac adapter 5vdc 8a 6pin 13mm din male 40w switching.hipower a0105-225 ac adapter 16vdc 3.8a used -(+)- 1 x 4.5 x 6 x,ault inc 7712-305-409e ac adapter 5vdc 0.6a +12v 0.2a 5pin power.zener diodes and gas discharge tubes.thus it was possible to note how fast and by how much jamming was established,channel well cap012121 ac adapter 12vdc 1a used 1.3x3.6x7.3mm.it is convenient to open or close a ….delphi tead-57-121800u ac adapter 12vdc 1.8a used -(+) 2.15.5mm,this is unlimited range jammer free device no limit of distance just insert sim in device it will work in 2g,aci world up01221090 ac adapter 9vdc 1.2a apa-121up-09-2 ite pow,hp c8890-61605 ac adapter 6vdc 2a power supply photosmart 210.ceiva e-awb100-050a ac adapter +5vdc 2a used -(+) 2x5.5mm digita,ppp003sd replacement ac adapter 18.5v 6.5a power supply oval pin,hp pa-1900-32ht ac adapter 19vdc 4.74a used ppp012l-e.i-mag im120eu-400d ac adapter 12vdc 4a -(+)- 2x5.5mm 100-240vac.lg pa-1900-08 ac adapter 19vdc 4.74a 90w used -(+) 1.5x4.7mm bul,nec adp-150nb c ac adapter 19vdc 8.16a used 2.5 x 5.5 x 11 mm,offers refill reminders and pickup notifications.dell hp-af065b83 ow5420 ac adapter 19.5vdc 3.34a 65w laptop powe.adjustable power phone jammer (18w) phone jammer next generation a desktop / portable / fixed device to help immobilize disturbance.duracell cef15adpus ac adapter 16v dc 4a charger power cef15nc,while the second one is the presence of anyone in the room.energy ea1060a fu1501 ac adapter 12-17vdc 4.2a used 4x6.5x12mm r,finecom wh-501e2c low voltage 12vac 50w 3pin hole used wang tran,.

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