Analysis Of Malaysia Airlines Flight 370 Satellite Communications
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Malaysia Airlines Flight 370 Malaysia Airlines Flight 370 (MH370/MAS370) was an international passenger flight operated by Malaysia Airlines that disappeared on 8 March 2014 while flying from Kuala Lumpur International Airport in Malaysia to its planned destinatio ...
and Inmarsat's satellite telecommunication network provide the primary source of information about Flight 370's location and possible in-flight events after it disappeared from military radar coverage at 2:22  Malaysia Standard Time (MYT) on 8 March 2014 (17:22  UTC, 7 March), one hour after communication with
air traffic control Air traffic control (ATC) is a service provided by ground-based air traffic controllers who direct aircraft on the ground and through a given section of controlled airspace, and can provide advisory services to aircraft in non-controlled airsp ...
ended and the aircraft departed from its planned
flight path In the United States, airways or air routes are defined by the Federal Aviation Administration (FAA) in two ways: "VOR Federal airways and Low/Medium Frequency (L/MF) (Colored) Federal airways" These are designated routes which aeroplanes f ...
while over the
South China Sea The South China Sea is a marginal sea of the Western Pacific Ocean. It is bounded in the north by the shores of South China (hence the name), in the west by the Indochinese Peninsula, in the east by the islands of Taiwan and northwestern Phil ...
. Flight 370 was a scheduled commercial flight with 227 passengers and 12 crew which departed
Kuala Lumpur , anthem = '' Maju dan Sejahtera'' , image_map = , map_caption = , pushpin_map = Malaysia#Southeast Asia#Asia , pushpin_map_caption = , coordinates = , su ...
,
Malaysia Malaysia ( ; ) is a country in Southeast Asia. The federation, federal constitutional monarchy consists of States and federal territories of Malaysia, thirteen states and three federal territories, separated by the South China Sea into two r ...
at 0:41 and was scheduled to land in Beijing, China at 6:30 
China Standard Time The time in China follows a single standard time offset of UTC+08:00 (eight hours ahead of Coordinated Universal Time), even though the country spans almost five geographical time zones. The official national standard time is called ''Beijing Tim ...
(6:30 MYT; 22:30 UTC, 7 March). Malaysia has worked in conjunction with the
Australian Transport Safety Bureau The Australian Transport Safety Bureau (ATSB) is Australia's national transport safety investigator. The ATSB is the federal government body responsible for investigating transport-related accidents and incidents within Australia. It covers air ...
to co-ordinate the analysis, which has also involved the UK's
Air Accidents Investigation Branch The Air Accidents Investigation Branch (AAIB) investigates civil aircraft accidents and serious incidents within the United Kingdom, its overseas territories and crown dependencies. It is also the Space Accident Investigation Authority (SAIA ...
, Inmarsat, and US
National Transportation Safety Board The National Transportation Safety Board (NTSB) is an independent U.S. government investigative agency responsible for civil transportation accident investigation. In this role, the NTSB investigates and reports on aviation accidents and incid ...
. Other groups have also made efforts to analyse the satellite communications, albeit challenged by a lack of publicly available information for several months after the disappearance. On 29 July 2015, debris was discovered on
Réunion Island Réunion (; french: La Réunion, ; previously ''Île Bourbon''; rcf, label= Reunionese Creole, La Rényon) is an island in the Indian Ocean that is an overseas department and region of France. It is located approximately east of the island o ...
which was later confirmed to have come from Flight 370; it is the first physical evidence that Flight 370 ended in the Indian Ocean. During flight, the aircraft maintains a
datalink A data link is the means of connecting one location to another for the purpose of transmitting and receiving digital information (data communication). It can also refer to a set of electronics assemblies, consisting of a transmitter and a recei ...
with a satellite communication network for data and telephone calls. The datalink connects the aircraft and a
ground station A ground station, Earth station, or Earth terminal is a terrestrial radio station designed for extraplanetary telecommunication with spacecraft (constituting part of the ground segment of the spacecraft system), or reception of radio waves fro ...
via satellite, which translates (changes) the signal's
frequency Frequency is the number of occurrences of a repeating event per unit of time. It is also occasionally referred to as ''temporal frequency'' for clarity, and is distinct from ''angular frequency''. Frequency is measured in hertz (Hz) which is eq ...
and amplifies the signal; the ground station is connected to telecommunication networks which allows messages to be sent to and received from other locations, such as the airline's operations centre. Normal communications from Flight 370 were last made at 1:07 MYT. The datalink between the aircraft and satellite telecommunication network was lost at some point between 1:07 and 2:03, when the aircraft did not acknowledge a message sent from the ground station. Three minutes after the aircraft left the range of radar coverage—at 2:25—the aircraft's
satellite data unit A satellite data unit (SDU) is an avionics device installed in an aircraft that allows air/ground communication via a satellite network. It is an integral part of an aircraft's SATCOM (satellite communication) system. The device connects with a ...
(SDU) transmitted a log-on message, which investigators believe occurred when the SDU restarted after a power interruption. Between the 2:25 message and 8:19, the SDU acknowledged two ground-to-aircraft telephone calls, which were not answered, and responded to automated, hourly requests from the ground station that were made to determine whether the SDU was still active. None of the communications from 2:25–8:19 contain information about the aircraft's location. The aircraft's final transmission at 8:19 was a log-on message; the aircraft did not respond to a message from the ground station at 9:15. Investigators believe the 8:19 log-on message was made when the SDU was restarting after the aircraft ran out of fuel and the aircraft's
auxiliary power unit An auxiliary power unit (APU) is a device on a vehicle that provides energy for functions other than propulsion. They are commonly found on large aircraft and naval ships as well as some large land vehicles. Aircraft APUs generally produce 115& ...
was started. The search for Flight 370 was launched in Southeast Asia near the location of the last verbal and radar contact with air traffic control. The day after the accident, staff at Inmarsat reviewed the log of communications between their satellite network and Flight 370 and discovered that they continued for several hours after contact with air traffic control was lost. On 11 March, they provided a preliminary analysis to investigators based on recorded ''burst timing offset'' (BTO) values. Relatively simple calculations can be made from BTO values to determine the distance between the aircraft and satellite at each transmission. When these distances are plotted on Earth, they result in
rings Ring may refer to: * Ring (jewellery), a round band, usually made of metal, worn as ornamental jewelry * To make a sound with a bell, and the sound made by a bell :(hence) to initiate a telephone connection Arts, entertainment and media Film and ...
which are then further reduced to arcs, due to the limited flying range of the aircraft. Another value—''burst frequency offset'' (BFO)—was analysed to determine the movement of the aircraft relative to the satellite, based on the Doppler shift of the signals, which provides the location of the aircraft along the BTO-derived arcs. Initial analysis of the BFO values showed a strong correlation with a track south into the southern Indian Ocean, west of Australia. On 24 March, Malaysia's Prime Minister cited this analysis to conclude that Flight 370 ended in the southern Indian Ocean with no survivors. After the initial analysis, the BFO calculations were later adjusted to account for a wobble in the satellite's orbit and thermal changes in the satellite which affected the recorded BFO values. Further analysis considered the BTO and BFO calculations together with the aircraft flight dynamics, such as possible and probable aircraft speeds, altitudes, and autopilot modes. Two statistical analyses were made and combined with calculations of Flight 370's maximum range to determine the most probable location of Flight 370 at the time of the 8:19 transmission, which is along the 8:19 BTO arc from approximately to .


Background


Malaysia Airlines Flight 370

Malaysia Airlines Flight 370 departed Kuala Lumpur International Airport at 00:41  Malaysia Standard Time (MYT) on 8 March 2014 (16:41  UTC, 7 March), bound for
Beijing Capital International Airport Beijing Capital International Airport is one of two international airports serving Beijing, the other one being Beijing Daxing International Airport (PKX). It is located northeast of Beijing's city center, in an exclave of Chaoyang District ...
. At 1:19, Malaysian
air traffic control Air traffic control (ATC) is a service provided by ground-based air traffic controllers who direct aircraft on the ground and through a given section of controlled airspace, and can provide advisory services to aircraft in non-controlled airsp ...
(ATC) initiated a hand-off to Ho Chi Minh area ATC. The
captain Captain is a title, an appellative for the commanding officer of a military unit; the supreme leader of a navy ship, merchant ship, aeroplane, spacecraft, or other vessel; or the commander of a port, fire or police department, election precinct, e ...
responded "Good night Malaysian Three Seven Zero", after which no further communications were made with the pilots. At 1:21, the aircraft disappeared from the radar of air traffic control after passing navigational waypoint IGARI () in the South China Sea between Malaysia and Vietnam. The aircraft continued to be tracked by Malaysian military radar, which recorded that Flight 370 deviated from its planned
flight path In the United States, airways or air routes are defined by the Federal Aviation Administration (FAA) in two ways: "VOR Federal airways and Low/Medium Frequency (L/MF) (Colored) Federal airways" These are designated routes which aeroplanes f ...
, turning around and crossing the Malay Peninsula. Flight 370 left the range of Malaysian military radar at 2:22 and was last located northwest of Penang. Flight 370 was expected to arrive in Beijing at 6:30  China Standard Time (CST) on 8 March (06:30 MYT; 22:30 UTC, 7 March). At 7:24 MYT/CST, Malaysia Airlines issued a media statement that Flight 370 was missing.


Satellite datalink

The
datalink A data link is the means of connecting one location to another for the purpose of transmitting and receiving digital information (data communication). It can also refer to a set of electronics assemblies, consisting of a transmitter and a recei ...
for Malaysia Airline's avionics communications at the time of the incident was supplied by
SITA Sita (; ) also called as Janaki and Vaidehi is a Hindu goddess and the female protagonist of the Hindu epic, ''Ramayana''. She is the consort of Rama, the avatar of the god Vishnu, and is regarded as a form of Vishnu's consort, Lakshmi. She ...
, which contracted with Inmarsat to provide a
satellite communication A communications satellite is an artificial satellite that relays and amplifies radio telecommunication signals via a transponder; it creates a communication channel between a source transmitter and a receiver at different locations on Earth. C ...
link using Inmarsat's '' Classic Aero'' service. Aeronautical satellite communication (SATCOM) systems are used to transmit messages from the aircraft cockpit as well as automated messages from on-board systems using the ACARS communications protocol, but may also be used to transmit
FANS Fan commonly refers to: * Fan (machine), a machine for producing airflow, often used for cooling ** Hand fan, an implement held and waved by hand to move air for cooling * Fan (person), short for fanatic; an enthusiast or supporter, especially wit ...
and
ATN ATN is the Sydney flagship television station of the Seven Network in Australia. The licence, issued to a company named Amalgamated Television Services, a subsidiary of John Fairfax & Sons, was one of the first four licences (two in Sydney, two ...
messages and provide voice, fax, and data links using other protocols. An appropriate comparison of ACARS' relationship to the SATCOM system is that of a messaging application to a smartphone; the smartphone functions and will remain registered on a mobile phone network even if the messaging application is closed. The data/messages from the aircraft are transmitted by the aircraft's
Satellite Data Unit A satellite data unit (SDU) is an avionics device installed in an aircraft that allows air/ground communication via a satellite network. It is an integral part of an aircraft's SATCOM (satellite communication) system. The device connects with a ...
(SDU) and relayed via satellite to a
ground station A ground station, Earth station, or Earth terminal is a terrestrial radio station designed for extraplanetary telecommunication with spacecraft (constituting part of the ground segment of the spacecraft system), or reception of radio waves fro ...
, where they are routed to other communication networks to reach their destination. Messages may also be sent to the aircraft, in reverse order. When passing through the satellite, the signals are amplified and translated in frequency—mixed with the signal from an
oscillator Oscillation is the repetitive or periodic variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples of oscillation include a swinging pendulum ...
in the satellite, leaving the satellite at the combined frequency. Transmissions from the aircraft are made on one of several channels (frequencies) near 1.6 GHz, combined with frequency of the satellite's oscillator, and transmitted to the GES at the combined frequency (one of several channels near 3.6 GHz). The ground station then translates the received signal before it reaches equipment to be processed. The ground station keeps a log of transmissions and some data about them. When the SDU tries to connect with the Inmarsat network, it will transmit a log-on request, which the ground station acknowledges. This is, in part, to determine that the SDU belongs to an active service subscriber and also used to determine how to route messages to the SDU. After connecting, if a ground station hasn't received any contact from a terminal for one hour, the ground station will transmit a "Log-on Interrogation" (LOI) message—informally referred to as a "ping"; an active terminal automatically responds. The entire process of interrogating the terminal is referred to as a "
handshake A handshake is a globally widespread, brief greeting or parting tradition in which two people grasp one of each other's like hands, in most cases accompanied by a brief up-and-down movement of the grasped hands. Customs surrounding handshakes a ...
". Equipment at Inmarsat's Perth ground station had been upgraded in 2013 with additional storage capacity and new software to record an expanded data set for transmissions, including the addition of Burst Frequency Offset (BFO) and Burst Timing Offset (BTO) values. Without the additional data values, it would have been impossible to determine the aircraft's distance from the satellite at each handshake. The expanded data values were prompted by Inmarsat's involvement in the search for
Air France Flight 447 Air France Flight 447 (AF447 or AFR447) was a scheduled international passenger flight from Rio de Janeiro, Brazil, to Paris, France. On 1 June 2009, inconsistent airspeed indications led to the pilots inadvertently stalling the Airbus A330 ser ...
, which disappeared over the Atlantic Ocean in 2009. According to Mark Dickinson, Inmarsat's vice-president of satellite operations, the company did not know what the additional data might be used for, but had a "hunch" and upgraded their hardware.


Emergency locator transmitters

The aircraft was equipped with four emergency locator transmitters (ELTs): *a fixed ELT on the aft fuselage which is activated by sudden deceleration, *a portable ELT in a cabinet located in the front of the aircraft which must be activated by moving a switch, and *two ELTs attached to slide rafts which are armed when the rafts are inflated and activated by water immersion Once activated, the ELTs emit a radio signal which can be detected by the satellites of the International Cospas-Sarsat Programme. The ELTs are designed to work at or near the water's surface. Damage during a crash, shielding by aircraft wreckage or terrain, and submersion in deep water are all factors which may prevent the signal's detection. In a review of accident records maintained by
ICAO The International Civil Aviation Organization (ICAO, ) is a specialized agency of the United Nations that coordinates the principles and techniques of international air navigation, and fosters the planning and development of international a ...
over the past 30 years, there were 173 accidents involving aircraft over equipped with ELTs; of these, an effective ELT detection was made in only 39 accidents. No signals from ELTs aboard Flight 370 were detected.


Communications from Flight 370

The SDU on 9M-MRO (the aircraft used for Flight 370) logged onto the Inmarsat network at midnight MYT. In the 30 minutes prior to take-off, seventeen messages were exchanged between the SDU and the Inmarsat network. An additional three messages were exchanged between take-off and the time Flight 370 disappeared from secondary radar. The final message to use the ACARS protocol was sent at 01:07; ACARS reports expected at 01:37 and 02:07 were not received. At 02:03 and 2:05, messages from the ground station went unanswered, indicating that the link was lost at some point between 1:07 and 2:03. After last contact by primary radar west of Malaysia, the following records were recorded in the log of Inmarsat's ground station at
Perth Perth is the capital and largest city of the Australian state of Western Australia. It is the fourth most populous city in Australia and Oceania, with a population of 2.1 million (80% of the state) living in Greater Perth in 2020. Perth is ...
, Western Australia (HH:MM:SS; UTC times 7–8 March):


Analysis by the Joint Investigation Team

The analysis of the satellite communication relies on a limited number of data points that were analysed using innovative techniques that were only developed after the incident. The analysis has worked to determine useful information about in-flight events and the location of Flight 370 at the 08:19 MYT signal—believed to have occurred near the time of fuel exhaustion and thus is close to the final location of Flight 370.


Joint Investigation Team

Malaysian investigators set up an international working group—the Joint Investigation Team (JIT)—consisting of various agencies with experience in aircraft performance and satellite communications, to further analyse the signals between Flight 370 and the ground station, especially the signal at 08:19. These included representatives from the UK's Inmarsat,
Air Accidents Investigation Branch The Air Accidents Investigation Branch (AAIB) investigates civil aircraft accidents and serious incidents within the United Kingdom, its overseas territories and crown dependencies. It is also the Space Accident Investigation Authority (SAIA ...
, and Rolls-Royce; China's Civil Aviation Administration and Aircraft Accident Investigation Department; the US
National Transportation Safety Board The National Transportation Safety Board (NTSB) is an independent U.S. government investigative agency responsible for civil transportation accident investigation. In this role, the NTSB investigates and reports on aviation accidents and incid ...
and
Federal Aviation Administration The Federal Aviation Administration (FAA) is the largest transportation agency of the U.S. government and regulates all aspects of civil aviation in the country as well as over surrounding international waters. Its powers include air traffic m ...
; and Malaysian authorities. After initial analysis determined that Flight 370's last location was within Australia's Search and Rescue region in the southern Indian Ocean, Australia has played a major role in co-ordinating the analysis in conjunction with Malaysia. The
Australian Transport Safety Bureau The Australian Transport Safety Bureau (ATSB) is Australia's national transport safety investigator. The ATSB is the federal government body responsible for investigating transport-related accidents and incidents within Australia. It covers air ...
(ATSB) is responsible for the search for Flight 370 and has brought together a team of experts to determine the location of Flight 370 at the 08:19 communication. The team brought together by the ATSB includes the UK's
Air Accidents Investigation Branch The Air Accidents Investigation Branch (AAIB) investigates civil aircraft accidents and serious incidents within the United Kingdom, its overseas territories and crown dependencies. It is also the Space Accident Investigation Authority (SAIA ...
,
Boeing The Boeing Company () is an American multinational corporation that designs, manufactures, and sells airplanes, rotorcraft, rockets, satellites, telecommunications equipment, and missiles worldwide. The company also provides leasing and product ...
, the
Defence Science and Technology Organisation The Defence Science and Technology Group (DSTG) is part of the Australian Department of Defence dedicated to providing science and technology support to safeguard Australia and its national interests. The agency's name was changed from Defenc ...
(Australia), Malaysia's Department of Civil Aviation, Inmarsat, the National Transportation Safety Board (US), and
Thales Thales of Miletus ( ; grc-gre, Θαλῆς; ) was a Greek mathematician, astronomer, statesman, and pre-Socratic philosopher from Miletus in Ionia, Asia Minor. He was one of the Seven Sages of Greece. Many, most notably Aristotle, regarded him ...
.


Concepts

The analysis of communications from Flight 370 focuses on two key parameters associated with the messages: * Burst timing offset (BTO) — The time difference between when a message is sent from the ground station and when the response is received. This measure is proportional to twice the distance from the ground station to the satellite to the aircraft. It includes the time between receiving and responding to the message at the aircraft SDU and the time between receiving and processing the response at the ground station, which are constant and can be calculated and removed. This measure can be analysed to determine the distance between the satellite and the aircraft, resulting in a ring on the Earth's surface that is equidistant from the satellite. * Burst frequency offset (BFO) – The difference between the expected and received frequency of transmissions. The difference is caused by doppler shift as the signals traveled from the aircraft to the satellite to the ground station; the frequency translations made in the satellite and at the ground station; a small, constant error (bias) in the SDU that results from drift and ageing; and compensation applied by the SDU to counter the Doppler shift on the uplink. This measure can be analysed to determine where along the BTO rings the aircraft was located.


Deductions

A few deductions can also be made from the satellite communications. The first deduction that can be made from the satellite communications is that the aircraft remained operational until at least 08:19—seven hours after final contact was made with air traffic control over the South China Sea. The varying BFO values indicate the aircraft was moving at speed. The aircraft's SDU needs location and track information to keep its antenna pointed towards the satellite, so it can also be deduced that the aircraft's navigation system was operational. Since the aircraft did not respond to a ping at 09:15, it can be concluded that at some point between 08:19 and 09:15, the aircraft lost the ability to communicate with the ground station. Malaysia's Department of Civil Aviation noted this time was "consistent with the maximum endurance of the aircraft" and this time is believed to have been the result of the aircraft entering the ocean after fuel starvation. The ATSB is "confident the seventh handshake represents the area where the aircraft ran out of fuel before entering the ocean." The log-on message sent from the aircraft at 08:19:29 was not immediately well understood. The 02:25 handshake was also initiated by the aircraft. Only a few reasons that the SDU would transmit a log-on message exist, such as a power interruption, software failure, loss of critical systems providing input to the SDU, or a loss of the link due to aircraft attitude. Investigators consider the most likely reason to be that they were sent during power-up after an electrical outage. At 08:19, the aircraft had been airborne for 7 h 38 min; the typical Kuala Lumpur-Beijing flight is 5 hours and fuel exhaustion was likely. In the event of fuel exhaustion and engine flame-out, the aircraft's
ram air turbine A ram air turbine (RAT) is a small wind turbine that is connected to a hydraulic pump, or electrical generator, installed in an aircraft and used as a power source. The RAT generates power from the airstream by ram pressure due to the speed o ...
would deploy, providing power to various instruments and flight controls, including the SDU. Approximately 90 seconds after the 02:25 handshake, communications from the aircraft's inflight entertainment system were recorded in the ground station log. Similar messages would be expected following the 08:19 handshake but none were received, supporting the fuel starvation scenario.


Burst timing offset

For system efficacy and reliability, aircraft transmissions made in response to a signal from a satellite are sent in timed slots referenced to the time the signal from the satellite arrived, using the slotted ALOHA protocol. The time that the signal is sent from the ground station begins the time slot. The burst timing offset (BTO) is the time difference between the start of the time slot and the start of the transmission received from the aircraft; it equals twice the distance (for the ground station's signal and the aircraft's response) from the ground station to the satellite to the aircraft plus the time the aircraft's SDU takes between receiving the signal and responding (the ''SDU bias'') and the delay between the time the signal arrives at the ground station and the time it is processed (when the BTO value is logged; the ''ground station bias''). The satellite's location is known, thus the distance from the satellite to the ground station can be calculated, while the combined bias of the SDU and ground station is relatively constant and can be calculated from signals exchanged earlier in the flight while it was on the ground at KLIA, thus leaving the distance between the aircraft and satellite as the only variable. The combined SDU and ground station bias was calculated from 17 signals exchanged between the ground station and the aircraft during a 30-minute period before take-off, when the aircraft's location was known (at Kuala Lumpur International Airport). To establish the accuracy of their calculations, the bias value was used to calculate the distance from the aircraft to the satellite during the time it was on the ground at KLIA, with errors of <1 km-8.85 km (<0.6 mi-5.5 mi). The distance from the satellite to the aircraft was also calculated while the aircraft was in-flight and at a known location shortly after take-off, showing similar accuracy. The distance between the satellite and aircraft could thus be calculated for signals exchanged between 02:25–08:19, after Flight 370 disappeared from radar. However, this could only produce a ring on Earth's surface that is equidistant from the satellite at the calculated value, adjusted to account for the aircraft flying at 10,000 m (33,000 ft). The ring could also be reduced to an arc by taking into consideration the maximum range of the aircraft if it flew at its maximum speed. The BTO value was added to the ground station's data set to assist in geo-locating an aircraft following the Air France Flight 447 accident in 2009 and the initial BFO analysis—relating the BFO value to the elevation angle between the aircraft and satellite—was based on methods developed during the Flight 447 investigation. The first and seventh handshakes gave anomalous results and were excluded from the initial analysis, but the issue was later resolved. The initial analysis, accurate to approximately 1°, determined that elevation angle between the aircraft and satellite at the 08:11 handshake was 40°. When this was publicly disclosed by Malaysian officials, the arc was broken into two arcs—dubbed the "northern corridor" and "southern corridor." The first and seventh handshakes were later determined to be part of a log-on sequence, as opposed to the other handshakes that were log-on interrogation messages. The bias value during the logon sequence is different and was calculated using historical data for the aircraft's SDU. This allowed the distance between the satellite and aircraft to be determined at these times.


Burst frequency offset

While the BTO is able to determine the ''distance'' between the satellite and the aircraft at the time of each handshake, it was still necessary to determine ''where'' along the BTO arcs the aircraft was. To accomplish this, an analysis was performed on another attribute of received signals that was recorded by the ground station: the burst frequency offset (BFO)—the difference between the expected and actual frequencies of the signal received from the aircraft. The BFO is primarily caused by the Doppler shift—a shift in frequency caused by the relative movement of the aircraft, satellite, and ground station—along with several other factors which can be calculated and removed, allowing the Doppler shift between the aircraft and satellite to be isolated. The Doppler shift between the aircraft and satellite indicates the relative motion of the aircraft relative to the satellite, although multiple combinations of aircraft speed and heading exist that match a given Doppler shift value. When the aircraft's SDU responds to messages sent from the ground station, it uses the aircraft's navigation system to determine the aircraft's position, track, and ground speed and adjusts the transmit frequency to compensate for the Doppler shift on the uplink signal, based on the satellite being located in its nominal position in geostationary orbit (35786 km above the equator) at 64.5°E. The initial analysis was calculated with the satellite at its nominal location in geostationary orbit, above the equator at 64.5°E longitude. However, the Inmarsat-3F1 satellite was launched in 1996 with an expected life span of 13 years and to extend its lifespan by conserving remaining fuel, it was allowed to drift from its nominal location into a slightly inclined orbit. A map of the sub-satellite points—the location on Earth's surface directly beneath the satellite—shows that the satellite moves counterclockwise in an oval shape between 1.6°S–1.6°N and 64.45–64.58°E. As a result, the adjustments made by the SDU only partially compensate for the Doppler shift on the uplink. This error is "immaterial" to the performance of the satellite network, but was crucial to eliminate the northern corridor during the initial analysis. As the signal passes through the satellite, it is translated by—added to—a signal generated by an oscillator in the satellite. Although the oscillator is housed in a temperature-controlled enclosure, it is subjected to thermal variation throughout the day that results in minor changes in the frequency of the translation signal. The thermal variation results from the rotation of the satellite relative to the sun over a given 24-hour period, including the time the satellite passes through the Earth's shadow (which affected the 3:40 and 4:26 handshakes), and is complicated by the use of heaters that run when the oscillator temperature exits pre-determined limits. The variation in the translation frequency was calculated over several days, including the day of Flight 370's disappearance, and could be factored into the BFO measurement. Additional factors that affect the BFO are a translation made at the ground station between the reception and processing of the signal (which is monitored and can be factored in) and a fixed bias in the aircraft and satellite oscillators due to drift and ageing (which can be calibrated by measures recorded when the aircraft's location and speed were known). At 2:40 and 6:14, ground-to-aircraft phone calls were made that were unanswered by the cockpit but acknowledged by the SDU. The signals associated with these calls could not be analysed to generate a BTO value, but BFO values of these signals can be considered in the analysis with the other BTO and BFO data. The technique used to analyse the BFO values was validated against 87 aircraft with the same SATCOM equipment operating in the region around the time of Flight 370's disappearance and against 9 previous flights operated by the same aircraft (9M-MRO). The sensitivity to error was calculated during the early phase of Flight 370 when the aircraft's location, track, and ground speed were known. This resulted in an uncertainty of ±28° heading and ±9° of latitude.


Combined analysis with flight dynamics

The BTO analysis was able to determine the distance between the satellite and aircraft with a relatively high degree of accuracy, while the BFO analysis was able to estimate the heading and speed of the aircraft, but is sensitive to small changes in input data. To determine the final location of Flight 370, the BTO and BFO analyses were considered in combination with aircraft performance limitations, such as altitude, airspeed, and wind. The BFO analysis was able to isolate the Doppler shift between the aircraft and determine the relative motion of the aircraft to the satellite, which is reduced by the limited range of speeds at which the aircraft can fly and thus a limited set of speed/direction combinations exist that correlate with the calculated Doppler shifts. The aircraft has three autopilot modes. The standard mode for en-route navigation is LNAV, which navigates along a
great circle In mathematics, a great circle or orthodrome is the circular intersection of a sphere and a plane passing through the sphere's center point. Any arc of a great circle is a geodesic of the sphere, so that great circles in spherical geomet ...
route between waypoints, adjusting the aircraft's heading to compensate for wind. Other modes will maintain the aircraft's heading—direction the nose is pointed (flight path will be affected by winds)—or the aircraft's track—direction the aircraft travels (flight path in a straight direction). The latter two modes are further affected by whether the aircraft used magnetic (normal reference) or
true north True north (also called geodetic north or geographic north) is the direction along Earth's surface towards the geographic North Pole or True North Pole. Geodetic north differs from ''magnetic'' north (the direction a compass points toward t ...
(typically only used at high latitudes) as the reference for the autopilot. Since Flight 370 flew near waypoints VAMPI, MEKAR, NILAM, and possibly IGOGU—all along air route N571—while traversing the Malacca Strait, investigators considered whether Flight 370 followed any air routes or intersected any waypoints in the Southern Indian Ocean. Waypoints MUTMI and RUNUT were considered possible points that Flight 370 may have traversed, but tracks through these waypoints did not correlate well with paths generated from the BTO and BFO analysis. Two analysis techniques were used to combine the BTO and BFO results with flight parameters: * Data error optimisation – Candidate paths varied speed and heading at each handshake to minimise the error between the calculated BFO of that path versus the actual BFO recorded from Flight 370. These paths were not constrained by the behaviour of the aircraft's autopilot. * Constrained autopilot dynamics – The aircraft is assumed to be flying under the control of one of the autopilot modes. Candidate paths were generated using each mode. BTO and BFO values of each path were calculated and compared against the recorded values from Flight 370. The top 100 constrained autopilot dynamics candidate paths were selected on the basis of their match with the satellite data from Flight 370 and their consistency with autopilot behaviour. The distribution of these paths at the intersection with the 6th handshake was then generated, with some paths outside (south) of the maximum range of the aircraft and which can therefore be eliminated. The candidate paths generated by the data error optimisation method were weighed according to the
root mean square In mathematics and its applications, the root mean square of a set of numbers x_i (abbreviated as RMS, or rms and denoted in formulas as either x_\mathrm or \mathrm_x) is defined as the square root of the mean square (the arithmetic mean of the ...
of the BFO values at each handshake. The distribution of results from these two methods were charted together, indicating that the total probability areas overlap on the 08:11 arc between approximately 35–39°S. These paths have then been extrapolated to the seventh handshake at 08:19 and constrained by the maximum range, intersecting the seventh arc between approximately 33.5–38.3°S. This is the most likely location of Flight 370 at the time of the seventh handshake.


Determining the final location of Flight 370 and search area

Knowing the location at the seventh handshake, investigators then needed to determine an appropriate width of the search area from the seventh arc. The seventh handshake was a 'log-on request' initiated by the aircraft and is believed to be the result of the SDU starting after power failure, resulting from fuel exhaustion and following the deployment of the ram air turbine and restart of the auxiliary power unit. The log-on request would have occurred 3 minutes and 40 seconds after fuel exhaustion—commonly known as ''flameout'' in aviation—of the second engine (flameout of both engines would not have occurred simultaneously), at which point the autopilot would have disengaged. The BFO value of this handshake indicates the aircraft may have been descending and the aircraft was travelling northeast to southwest. An analysis of aircraft systems, particularly the electrical system and autopilot, are ongoing. Boeing and Malaysia Airlines have conducted numerous end-of-flight scenarios in their Boeing 777 simulators. The scenarios involve flameout in one engine before the other without any input from the cockpit. This scenario results in the aircraft entering a spiraling low-bank turn with the aircraft entering the water a relatively short distance from the last engine flameout. If control inputs were made (i.e. the plane was under the control of a pilot) and depending on the initial altitude, it is possible that the aircraft could glide over . However, investigators believe Flight 370 was most likely uncontrolled at this point. The ATSB cites a previous study conducted for the BEA, which determined that in cases of an upset followed by loss of control all impact points were within of the start of the emergency, and in most cases within . Based on this, the ATSB chose a width— to the west and to the east of the arc—for the underwater search in June 2014. While keeping the 50 nmi width for the priority search area, the ATSB determined that the aircraft most likely entered the ocean close to the seventh arc and the underwater search would be conducted from the seventh arc and progress outwards.


Other analyses

In the weeks after Flight 370's disappearance, discussions concerning the analysis of satellite data began on the website of space scientist
Duncan Steel Duncan I. Steel is a British space scientist. He has discoverer of minor planets, discovered several minor planets and has written four popular science books. He is a member of the International Astronomical Union, which lists him as working a ...
. The informal group of people, most with scientific backgrounds, soon became known as the ''Independent Group'' (IG) and has worked to analyse possible flight paths to determine the most likely final location of Flight 370. For the first few months, their efforts were hindered by a lack of data publicly released and they were critical of the official analysis by Inmarsat; the IG also pressured officials to release data related to Flight 370's satellite communications. The IG did not believe there was sufficient evidence, using publicly available information, to exclude the possibility of Flight 370 following a northern track prior to the release of the communication logs on 27 May. Some of the IG members have worked on analysing specific elements of Flight 370's flight path, such as the mid-flight speed of Flight 370 and precise location of the Inmarsat-3F1 satellite. On 17 June, before 26 June release of a report by the Australian Transport Safety Bureau (ATSB) detailing the analysis of the satellite communications, the IG released a statement that they believed the final location of Flight 370 is at the time of the 6th handshake, which was used because the seventh handshake was not well understood at the time. Their evaluation published in July 2015 of the final location of Flight 370 is . In May 2021, aerospace engineer Richard Godfrey and member of the Independent Group of Scientist suggested that weak signal propagation (WSPR) technology could be used to track the flightpath of the aircraft.Malaysia Airlines flight MH370 left 'false trails' before disappearing, new research suggests
Anne Barker,
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, 2021-05-05
In November 2021, he reported that his analysis using WSPR technology indicated the aircraft flew in circles for around 22 minutes in an area 150 nautical miles from the coast of
Sumatra Sumatra is one of the Sunda Islands of western Indonesia. It is the largest island that is fully within Indonesian territory, as well as the sixth-largest island in the world at 473,481 km2 (182,812 mi.2), not including adjacent i ...
, and later that month he announced a crash area with a radius of centred around 33.177°S 95.300°E. As Godfrey's area also covers part of the ocean surveyed during the initial search, the Australian Transport Safety Bureau asked in February 2022 to review the data from the initial search in order "to re-validate that no items of interest were detected in that area". However, Victor Iannello of the same Independent Group as Godfrey claims that WSPR can't find MH370 because signals scattered by aircraft are orders of magnitude too weak to be detected and decoded. Another analysis was made by Simon Hardy, a Boeing 777
captain Captain is a title, an appellative for the commanding officer of a military unit; the supreme leader of a navy ship, merchant ship, aeroplane, spacecraft, or other vessel; or the commander of a port, fire or police department, election precinct, e ...
, and published in March 2015. Hardy's analysis is a mathematical model to determine the track of Flight 370 from the 4th to 6th handshakes, assuming that the aircraft's track and speed would be constant during this period of the flight. He calculated that the aircraft was likely flying on a 188° magnetic track, which the aircraft would compensate for winds to continue in a straight line, and that the final location of Flight 370 is near .


Timeline

On 8 March, Inmarsat provided basic flight data relating to Flight 370 to SITA, which relayed information to Malaysia Airlines and investigators. On 9–10 March, Inmarsat engineers noted that the ground station log recorded pings from the aircraft for several hours after contact was lost with air traffic control. Malaysian investigators set up an international working group, consisting of various agencies with experience in aircraft performance and satellite communications, to further analyse the signals between Flight 370 and the ground station, especially the signal at 08:19. These included representatives from the UK's Inmarsat, AAIB, and Rolls-Royce; China's Civil Aviation Administration and Aircraft Accident Investigation Department; the US NTSB and FAA; and Malaysian authorities. An analysis of the time difference between the transmission of the ping and the aircraft's response allowed Inmarsat to determine the aircraft's distance from the satellite. This resulted in two arcs—referred to as the "northern corridor" and "southern corridor"—where the aircraft may have been located at the time of its last complete handshake at 08:11. Using an "innovative technique" that has "never before eenused in an investigation of this sort", the team determined it could also use the burst frequency offset to determine the aircraft's speed and position along the identified arcs. Inmarsat cross-checked its methodology to known flight data from six Boeing 777 aircraft flying in various directions on the same day, and found a good match. Applying the technique to the handshake signals from Flight 370 gave results that correlated strongly with the expected and actual measurements of a southern trajectory over the Indian Ocean, but poorly with a northern trajectory. Further revised calculations to account for movements of the satellite relative to the earth allowed the northern corridor to be ruled out completely. This analysis was passed on to Malaysian authorities on 23 March. At 22:00 local time the next day, 24 March, Prime Minister Najib cited this development concluding at a press conference that Flight 370 ended in the southern Indian Ocean. In an article published on 8 May several satellite experts questioned the analysis of satellite pings made by Inmarsat staff because the Doppler frequency shifts measured were apparently not properly corrected against the satellite's own drift (a periodic North-South oscillation of 3° every 24 hours). Without any additional data being released, the implication of this new analysis was that the northern portion of the Inmarsat satellite pings arc could not be ruled out. The Malaysian government released the satellite data three weeks later. Details of the methodology used to analyse the satellite communications were provided in the Australian Transport Safety Bureau's report ''MH370 – Definition of Underwater Search Areas'', published in June, and a supplement released in October. A peer-reviewed paper by Inmarsat scientists published in the '' Journal of Navigation'' in October 2014 provides an account of the analysis applied to the satellite communications from Flight 370. Their analysis concluded that Flight 370 was near when the final transmission from the aircraft was made, but in their conclusion they "
tress Tress may refer to: People * Arthur Tress (born 1940), American photographer * David Tress (born 1955), British artist * Kyle Tress (born 1940), American skeleton racer * Mike Tress (1909-1967), national president of Agudath Israel of America * Ol ...
that the sensitivity of the reconstructed flight path to frequency errors is such that there remains significant uncertainty in the final location." Their analysis used a simplified model of the aircraft's flight dynamics "to illustrate how the measurements may be transformed into a reasonable flight path" and note that other investigators used more sophisticated models to determine the underwater search area. Although access to the journal requires a subscription, its publishers " eltthis paper and subject are too important, and that it should be shared with the world" and the paper was released as an
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article with a
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. Since the October reports, analysis of the satellite data has continued to be refined. In March 2015, ATSB Chief Commissioner Mark Dolan remarked that he is "slightly more optimistic than six months ago, because we have more confidence in the data". On 29 July 2015, a
flaperon A flaperon (a portmanteau of flap and aileron) on an aircraft's wing is a type of control surface that combines the functions of both flaps and ailerons. Some smaller kitplanes have flaperons for reasons of simplicity of manufacture, while ...
from Flight 370 was discovered on
Reunion Island Reunion may refer to: * Class reunion * Family reunion Reunion, Réunion, Re-union, Reunions or The Reunion may also refer to: Places * Réunion, a French overseas department and island in the Indian Ocean * Reunion, Commerce City, Colorado, ...
. The ATSB reviewed their drift calculations for debris from the aircraft and, according to the JACC, they are "satisfied that the discovery of the flaperon at La Réunion...is consistent with the current underwater search area in the southern Indian Ocean." Reverse drift modelling of the debris, to determine its origin after 16 months, also supports the current underwater search area, although reverse drift modelling is very imprecise over long periods of time.


Notes


References


External links


ATSB investigation of Flight 370
{{Webarchive, url=https://web.archive.org/web/20190826064639/http://www.atsb.gov.au/publications/investigation_reports/2014/aair/ae-2014-054.aspx , date=26 August 2019 – Webpage of Australian Transport Safety Bureau's investigation (Investigation number: AE-2014-054; Investigation title: ''"Technical assistance to the Department of Civil Aviation Malaysia in support of missing Malaysia Airlines flight MH370 on 7 March 2014 UTC"'')
Joint Agency Coordination Centre (JACC)
– Agency responsible for co-ordinating multinational search effort and serving as the sole point of contact for disseminating information about the search.
MH 370 Preliminary Report
– Preliminary report issued by the Malaysia Ministry of Transport. Dated 9 April 2014 and released publicly on 1 May 2014.
MH370 – Definition of Underwater Search Areas
– Report by the Australian Transport Safety Bureau, released 26 June 2014, and the most comprehensive report on Flight 370 publicly released at that time. The report focuses on defining the search area for the fifth phase, but in doing so provides a comprehensive overview/examination of satellite data, the failed searches, and possible "end-of-flight scenarios".
Satellite communications A communications satellite is an artificial satellite that relays and amplifies radio telecommunication signals via a transponder; it creates a communication channel between a source transmitter and a receiver at different locations on Earth. ...
2014 in Australia Satellite interpretation Aviation communications