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MISTRAM (''MISsile TRAjectory Measurement'') was a high-resolution
tracking system A tracking system, also known as a locating system, is used for the observing of persons or objects on the move and supplying a timely ordered sequence of location data for further processing. It is important to be aware of human tracking, fu ...
used by the
United States Air Force The United States Air Force (USAF) is the air service branch of the United States Armed Forces, and is one of the eight uniformed services of the United States. Originally created on 1 August 1907, as a part of the United States Army Signal ...
(and later NASA) to provide highly detailed
trajectory A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete traje ...
analysis of
rocket launch A rocket (from it, rocchetto, , bobbin/spool) is a vehicle that uses jet propulsion to accelerate without using the surrounding air. A rocket engine produces thrust by reaction to exhaust expelled at high speed. Rocket engines work entirely f ...
es. A "classic" ranging system used since the 1960s uses
radar Radar is a detection system that uses radio waves to determine the distance (''ranging''), angle, and radial velocity of objects relative to the site. It can be used to detect aircraft, ships, spacecraft, guided missiles, motor vehicles, weat ...
to time a radio signal's travel to a target (in this case, the rocket) and back. This technique is accurate to approximately 1%. The accuracy of this technique is limited by the need to create a sharp "
pulse In medicine, a pulse represents the tactile arterial palpation of the cardiac cycle (heartbeat) by trained fingertips. The pulse may be palpated in any place that allows an artery to be compressed near the surface of the body, such as at the nec ...
" of radio so that the start of the signal can be accurately defined. There are both practical and theoretical limits to the sharpness of the pulse. In addition, the timing of the signals often introduced inaccuracies of its own until the introduction of high precision clocks. In MISTRAM, this was avoided by broadcasting a continuous signal. The basic system used a ground station located down range from the launch site (at
Valkaria, Florida Grant-Valkaria is a town in Brevard County, Florida. The town's population was 3,850 at the 2010 United States Census. Grant-Valkaria is located south of Melbourne, between Palm Bay and Sebastian. It is part of the Palm Bay–Melbourne&nda ...
and
Eleuthera Island, Bahamas Eleuthera () refers both to a single island in the archipelagic state of The Commonwealth of the Bahamas and to its associated group of smaller islands. Eleuthera forms a part of the Great Bahama Bank. The island of Eleuthera incorporates the ...
) and a
transponder In telecommunications, a transponder is a device that, upon receiving a signal, emits a different signal in response. The term is a blend of ''transmitter'' and ''responder''. In air navigation or radio frequency identification, a flight tran ...
on the vehicle. The tracking station transmitted an X-band carrier signal which the transponder responded to by re-broadcasting it on another (shifted) frequency. By slowly changing the frequency of the carrier broadcast from the station and comparing this with the phase of the signal being returned, ground control could measure the distance to the vehicle very accurately. Even with the analog circuitry used, MISTRAM was accurate to less than 1 km at the distance of the moon. To meet more stringent
ballistic missile A ballistic missile is a type of missile that uses projectile motion to deliver warheads on a target. These weapons are guided only during relatively brief periods—most of the flight is unpowered. Short-range ballistic missiles stay within the ...
test requirements, several systems were designed, procured and added to the US Air Force Eastern Range's instrumentation in the 1950s and 1960s. The
AZUSA Azusa may refer to: Relating to California From a Native American language, likely Tongva ''Asuksagna:'' *Azusa, California, a city in the United States *Azusa Pacific University, a Christian-based institution in Azusa, California *Azusa Street Rev ...
continuous wave tracking system was added to the Cape in the mid-1950s and Grand Bahama in the early 1960s. The
AN/FPS-16 The AN/FPS-16 is a highly accurate ground-based monopulse single object tracking radar (SOTR), used extensively by the NASA manned space program, the U.S. Air Force and the U.S. Army. The accuracy of Radar Set AN/FPS-16 is such that the position d ...
radar system was introduced at the Cape,
Grand Bahama Grand Bahama is the northernmost of the islands of the Bahamas, with the town of West End located east of Palm Beach, Florida. It is the third largest island in the Bahamas island chain of approximately 700 islands and 2,400 cays. The island is ...
,
San Salvador San Salvador (; ) is the capital and the largest city of El Salvador and its eponymous department. It is the country's political, cultural, educational and financial center. The Metropolitan Area of San Salvador, which comprises the capital i ...
, Ascension and East Grand Bahama Island between 1958 and 1961. In the early 1960s, the MISTRAM (Missile Trajectory Measurement) system was installed at
Valkaria, Florida Grant-Valkaria is a town in Brevard County, Florida. The town's population was 3,850 at the 2010 United States Census. Grant-Valkaria is located south of Melbourne, between Palm Bay and Sebastian. It is part of the Palm Bay–Melbourne&nda ...
and
Eleuthera Eleuthera () refers both to a single island in the archipelagic state of The Commonwealth of the Bahamas and to its associated group of smaller islands. Eleuthera forms a part of the Great Bahama Bank. The island of Eleuthera incorporates th ...
island in the Bahamas to support
Minuteman missile The LGM-30 Minuteman is an American land-based intercontinental ballistic missile (ICBM) in service with the Air Force Global Strike Command. , the LGM-30G Minuteman III version is the only land-based ICBM in service in the United States and re ...
flights.


Principles of operation

MISTRAM is a sophisticated interferometer system consisting of a group of five receiving stations arranged in an L shape. Baselines are . and . The central stations contains a simple tracking antenna. The distance from the central station to the furthest remote station is approximately . Antennas at the central station and the four remote stations follow the flight of a missile and receive signals from its radio beacon. In the MISTRAM system, the ground station transmits a carrier to the spacecraft and the spacecraft returns this carrier on another frequency. The ground station sweeps the uplink carrier and the phase shift of the downlink carrier is measured (counted) while it is being swept. The round trip delay time can be shown to be T=(delta-phi)/(delta-f) ; where delta-f is the frequency shift (~4000 Hz for example) and delta-phi the measured phase shift in radians. Suppose T=2 sec (~lunar distance) then delta-phi=8000 radians, i.e. (8000*180)/Pi. Assume also that the phase can be measured with an accuracy of 1 deg, i.e. means that the range can be determined with a precision of (600000*1*Pi)/(2*8000*180)=0.33 km. An additional carrier quite near the one described above that remained fixed in frequency and used as a phase reference. That carrier and the two frequencies (that the sweep changed between) were generated as multiples of the same basic oscillator frequency. In this way, all signals would have a fixed phase relationship, as was done in MISTRAM. A similar technique was used in the Soviet Luna 20 spacecraft at 183.54 MHz to survey the moon's surface. MISTRAM was a multistatic long baseline radar interferometer developed for precision measurements of missile trajectories at the US Air Force Eastern Test Range. Multistatic radar systems have a higher complexity with multiple transmitter and receiver subsystems employed in a coordinated manner at more than two sites. All of the geographically dispersed units contribute to the collective target acquisition, detection, position finding and resolution, with simultaneous reception at the receiver sites. In a simpler sense, multistatic radars are systems which have two or more receiving sites with a common spatial coverage area, and data from these coverage areas are combined and processed at a central location. These systems are considered to be multiple bistatic pairs. Multistatic radar systems have various uses, including prevention of jamming and anti-radar munitions. Although this method of measurement is not new, either in theory or in practice, the unique manner in which the techniques were implemented in the MISTRAM system permit measurement of vehicle flight parameters with a degree of precision and accuracy not previously obtainable in other long baseline trajectory measurement systems. To a large extent, this was accomplished by a unique method of transferring intact the phase information in the signals from outlying stations to the central station. A two-way transmission path on each baseline was used to cancel out uncertainties due to variance in ground geometry and temperature. The transmitter at the master or central station generates two CW X-band frequencies, nominally 8148 MHz and 7884 to 7892 MHz. The higher frequency (the range signal) is very stable, whereas the lower frequency (the calibrated signal) is swept periodically over the indicated range. The airborne transponder receives the signals, amplifies & frequency shifts them by 68 MHz, and retransmits back to earth. The Doppler shift is used to determine velocity. The Florida MISTRAM system had baselines (~18.9 mi.) with design performance as follows:


MISTRAM transponder

The Transponder receives the two phase-coherent X-band cw signals transmitted from the ground equipment. A klystron with a 68 MHz coherent frequency offset is phase locked to each of the received signals. These klystrons provide the phase coherent return transmission. There are two separate phase locked loops, continuous and calibrate. ;MISTRAM "A" Model Transponder Specifications :;Operating Frequencies (Nominal) ::Continuous - 8148 MHz received :::8216 MHz transmitted ::Calibrate - 7884 to 8992 (swept) received :::7952 to 7960 (swept) transmitted :Input power - 5.25 amps maximum from 25.2 to 32.2 V DC :Output power - 500 mW min/channel :Warmup time - 1 minute maximum at 0 degrees Celsius or above :Acquisition Time - 0.1 second maximum :Phase coherence - 256 MHz - within 45 degrees (0.25 foot range error max.) ::8 MHz - within 2 degrees ( range error max.) :Dynamic range = -39 to -105 dBm :;Physical characteristics ::Size: (including mounting projections) ::Waveguide ports: Two reduced height X-band (1 Xmit; 1 Rcv) ::Life: 3 years. Operating 500 hours.


M-236 computer

The General Electric M236 computer was developed to support MISTRAM and other large military radar projects in the 1960s. (According to Dr. Neelands, certain military people involved in the project were adamant about not relying on "computers", therefore this "information processor" was developed.) This high speed 36-bit minicomputer was developed by the GE Heavy Military Electronics Department (HMED) in
Syracuse, New York Syracuse ( ) is a city in and the county seat of Onondaga County, New York, United States. It is the fifth-most populous city in the state of New York following New York City, Buffalo, Yonkers, and Rochester. At the 2020 census, the city's ...
, eventually leading to the
GE-600 series The GE-600 series was a family of 36-bit mainframe computers originating in the 1960s, built by General Electric (GE). When GE left the mainframe business the line was sold to Honeywell, which built similar systems into the 1990s as the division ...
of mainframe computers. The M236 was designed for real-time processing in a radar-based missile flight measurement system and lacked some general purpose features, such as overlapped instruction processing, the floating point operations needed for Fortran, and operating system support features, such as
base and bounds In computing base and bounds refers to a simple form of virtual memory where access to computer memory is controlled by one or a small number of sets of processor registers called ''base and bounds registers''. In its simplest form each user proc ...
registers. The M-236 computer was developed for the US Air Force Cape Canaveral Missile Range, and installed it at
Eleuthera Eleuthera () refers both to a single island in the archipelagic state of The Commonwealth of the Bahamas and to its associated group of smaller islands. Eleuthera forms a part of the Great Bahama Bank. The island of Eleuthera incorporates th ...
(Bahamas). The
36-bit 36-bit computers were popular in the early mainframe computer era from the 1950s through the early 1970s. Starting in the 1960s, but especially the 1970s, the introduction of 7-bit ASCII and 8-bit EBCDIC led to the move to machines using 8-bit ...
computer
word length In computing, a word is the natural unit of data used by a particular processor design. A word is a fixed-sized datum handled as a unit by the instruction set or the hardware of the processor. The number of bits or digits in a word (the ''word ...
was needed for radar tracking computations and for the required exchange of data with an
IBM 7094 The IBM 7090 is a second-generation transistorized version of the earlier IBM 709 vacuum tube mainframe computer that was designed for "large-scale scientific and technological applications". The 7090 is the fourth member of the IBM 700/7000 ser ...
located at the Cape. The chief architect of the M-236 was
John Couleur John Francis Couleur (July 7 1925, Chicago – August 25 2007, Scottsdale, Arizona) was an American computer engineer and executive. He was the recipient of over 40 patents. Early life During World War II, Couleur enrolled in the V-12 Navy College ...
who will become later a technical leader of the GE large computer systems. The debate in favor or against subsequent development of an M236-derived general purpose computer took more than one year and concluded finally with the victory of the M2360 project proponents in February 1963. The GE upper management was impressed by the opportunity to save the rental fees from IBM leased equipment used internally by GE (the cost of development of the new project was estimated to be offset by only one year of rentals). The other GE departments were not very impressed and were reluctant to jettison their IBM machines. The GE-600 series was developed by a team led by John Couleur based on work done for the MISTRAM project in 1959. MISTRAM was a missile tracking system that was used on a number of projects (including Project Apollo) and the Air Force required a data-collection computer to be installed in a tracking station downrange from Cape Canaveral. The data would eventually be shared with the 36-bit IBM 7094 machine at the Cape, so the computer would likely have to be 36-bits as well (why they didn't use an IBM 7094 is something of a mystery). GE built a machine called the M236 for the task, and as a result of the 36-bit needs, it ended up acting a lot like the 7094. The GE Heavy Military Electronics Department in Syracuse designed and built a tracking system for the ATLAS missile system named MISTRAM that was in fact an advanced computer system. This was quite in accordance with Cordiner's directions since it would not develop a line of machines that be placed on the open market in competition with IBM. (Ralph J. Cordiner was Chairman & CEO of General Electric from 1958 to 1963.) This project also had the advantage that the up front development expenditures were to be paid by the U.S. government rather than GE, an arrangement much more satisfactory to GE's 570 "bean counters." These circumstances brought about the possibility of duplicating the MISTRAM opportunity for the computer department. Much later, the result was an order for 32 computer department machines. However, the MISTRAM computer was the first in a line of developments by John Couleur that led to what may be regarded as the most successful and long-lasting machine - the GE 600 line.


Applications

MISTRAM was used in the development and testing of inertial guidance system for the Minuteman ballistic missile, and subsequently was used for testing the Gemini spacecraft and the Saturn V launch system. With the decommissioning of the MISTRAM X-band interferometer at the Air Force Eastern Test Range in 1971, the flight-test community did not have a conventional ground-based range-instrumentation system better than, or comparable to, the inertial guidance systems whose performance was being assessed. This was true in the intervening years preceding GPS development and deployment.


Minuteman Inertial Guidance System testing

The first Minuteman missiles (MM I) were launched in the early 1960s from the Air Force Eastern Test Range (AFETR) and were tracked with the AZUSA CW tracking system. The comparatively low quality of the AZUSA tracking data, combined with the rudimentary stage of evaluation techniques, allowed only estimation of the total error; no isolation of individual inertial measurement unit (IMU) error sources was possible. Subsequent development of improved tracking systems, UDOP and MISTRAM, at AFETR yielded much higher quality velocity tracking profiles. During the Minuteman II flight test program, significant improvements were made in the post-flight evaluation of the IMU accuracy. The most important of these improvement was the introduction of maximum likelihood error estimation using the Kalman algorithm to filter the velocity error profile. Continued improvement of the UDOP and MISTRAM tracking systems and refinement of the evaluation techniques during the Minuteman III flight test program made it possible to gain considerable insight into NS-20A1 IMU error sources.


Accuracy evaluation

One of the major problems in trajectory and orbital estimation is to obtain a realistic estimate of the accuracy of the trajectory and other important parameters. In the orbital case, some of the parameters which may not be solved for are geopotential constants, survey, etc. These factors will affect the total uncertainty in the orbit and, of course, ephemeris predictions. A statistical technique was developed that performs a variance-covariance propagation to obtain accuracy estimates based on random and unmodeled errors. An example of the unmodeled error propagation in the MISTRAM system was given for the Geos B satellite.


Key personnel

Dr. Lewis J. Neelands has been called an engineers' engineer by the people who worked with him when he was with the General Electric Corporation Electronics Laboratory and Heavy Military Electronics Department (HMED) in the 1950s and early 60's. His contributions to missile guidance and telemetry made him a key figure in the Altas Guidance and MISTRAM programs, two of HMED's most challenging and successful efforts. In retrospect, Neelands said he did not get his greatest satisfaction from his work on the Atlas guidance (about which he said,"it was successful because of a bunch of other people who put it together and made it work"). It is MISTRAM, missile tracking and measuring system, that he remembers with greater pride. "Nothing could match it at the time for the complexity and precision it required," he recalls of the real-time measuring system for precisely tracking a missile's flight. One of his colleagues remembers, "In 1960 he solved the elusive problem of trajectory measurement -- of bringing together at one place for processing, the signals received from widely spaced receiving stations while overcoming inaccuracies due to the propagation anomalies in the medium connecting the stations. A related problem that Lew solved was how to do this using frequencies sufficiently high to develop the required angular measurement accuracy without measurement ambiguities and without requiring a large number of receiving stations to resolve these ambiguities." He conceived a system of unprecedented accuracy. The technical work on the Hermes A-3 rocket guidance was headed by Dr. Lewis J. Neelands and resulted in a successful system with the know-how later transferred to another ICBM guidance system known as the 8014 project and also to the highly accurate Mistram instrumentation equipment, all were based on use of a microwave interferometer. Dr. Neelands died at his home in Gainesville Florida on July 17, 2007, at the age of 91.


References

;Chronology MISTRAM was designed and developed by the Heavy Military Electronics Division, Defense Systems Department of the General Electric Company, Syracuse, New York, under the sponsorship of the U.S. Air Force Missile Test Center, Patrick Air Force Base, Florida (Contract AF08 (6060) 4891). Mistram I at Valkaria, FL was placed into operation in 1962 and Mistram II at Eleuthera, Bahamas in 1963. The original contract for $15.5M was announced on July 12, 1960. ;Dissertations MISTRAM has been the topic of several dissertations for master of science degrees in engineering. * Henry F Kerr. A case study : Development of the Mistram type B transponder. Thesis (M.S.)--Florida State University, 1966. 33 pp. OCLC: 44949051 * William R Threlkeld. An application of refraction measurements to improve MISTRAM tracking accuracy. Dissertation: Thesis (M.S.)--Florida State University. 1965. 97 pp. OCLC: 10939666 * Thomas Irvin Osborn. Mistram—a missile trajectory measurement system. Dissertation: Thesis (M.S.)--Syracuse University, 1964. 56 pp. OCLC: 79314654 {{DEFAULTSORT:Mistram Radar Apollo program Missile guidance