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 trajectory is defined by position and momentum , simultaneously.
112-435: [REDACTED] Indian Air Force [REDACTED] Pakistan Navy Other conflicts Border skirmishes Strikes The Atlantique incident occurred on 10 August 1999, when a Breguet Atlantic maritime patrol aircraft of the Pakistan Naval Air Arm was shot down by a MiG-21 fighter of the Indian Air Force over the Rann of Kutch , on the border between India and Pakistan. Sixteen Pakistani personnel including
224-547: A central mass . In control theory , a trajectory is a time-ordered set of states of a dynamical system (see e.g. Poincaré map ). In discrete mathematics , a trajectory is a sequence ( f k ( x ) ) k ∈ N {\displaystyle (f^{k}(x))_{k\in \mathbb {N} }} of values calculated by the iterated application of a mapping f {\displaystyle f} to an element x {\displaystyle x} of its source. A familiar example of
336-699: A free fall frame which happens to be at ( x , y ) = (0,0) at t = 0. The equation of motion of the projectile in this frame (by the equivalence principle ) would be y = x tan ( θ ) {\displaystyle y=x\tan(\theta )} . The co-ordinates of this free-fall frame, with respect to our inertial frame would be y = − g t 2 / 2 {\displaystyle y=-gt^{2}/2} . That is, y = − g ( x / v h ) 2 / 2 {\displaystyle y=-g(x/v_{h})^{2}/2} . Now translating back to
448-450: A squadron leader . Each flight consists of two sections. The smallest unit is the section, led by a flight lieutenant . Each section consists of three aircraft. Within this formation structure, IAF has several service branches for day-to-day operations. They are: Trajectory The mass might be a projectile or a satellite . For example, it can be an orbit — the path of a planet , asteroid , or comet as it travels around
560-553: A MiG-21 and a Su30MKI were shot down, while India claims that only the MiG-21 was shot down. Indian officials rejected Pakistani claims of shooting down an Su-30MKI stating that it's impossible to hide an aircraft crash as of now in a populated area like Kashmir and said it's a coverup for the loss of F16. While the downed MiG-21's pilot had ejected successfully, he landed in Pakistan-administered Kashmir, and
672-472: A flying squadron or unit is a sub-unit of an air force station which carries out the primary task of the IAF. A fighter squadron consists of 18 aircraft; all fighter squadrons are headed by a commanding officer with the rank of wing commander . Some transport squadrons and helicopter units are headed by a commanding officer with the rank of group captain . Flights are sub-divisions of squadrons , commanded by
784-597: A futile hypothesis by practical-minded investigators all through the Middle Ages in Europe . Nevertheless, by anticipating the existence of the vacuum , later to be demonstrated on Earth by his collaborator Evangelista Torricelli , Galileo was able to initiate the future science of mechanics . In a near vacuum, as it turns out for instance on the Moon , his simplified parabolic trajectory proves essentially correct. In
896-617: A gas plant in Sindh. Similar strategy was also deployed in East Pakistan and as the IAF achieved complete air superiority on the eastern front, the ordnance factories, runways, and other vital areas of East Pakistan were severely damaged. By the time Pakistani forces surrendered, the IAF destroyed 94 PAF Aircraft The IAF was able to conduct a wide range of missions – troop support; air combat; deep penetration strikes; para-dropping behind enemy lines; feints to draw enemy fighters away from
1008-678: A given range d h {\displaystyle d_{h}} . The angle θ {\displaystyle \theta } giving the maximum range can be found by considering the derivative or R {\displaystyle R} with respect to θ {\displaystyle \theta } and setting it to zero. which has a nontrivial solution at 2 θ = π / 2 = 90 ∘ {\displaystyle 2\theta =\pi /2=90^{\circ }} , or θ = 45 ∘ {\displaystyle \theta =45^{\circ }} . The maximum range
1120-530: A good management of logistics came into help. This led to the eruption of full-scale war between India and Pakistan, though there was no formal declaration of war. During the war, the RIAF did not engage the Pakistan Air Force in air-to-air combat; however, a couple of IAF Hawker Tempest fighters did intercept a Pakistani Douglas DC-3 transport aircraft & tried to shoot it down but the pilot of
1232-485: A group of PAF Mirage-5 and JF-17 fighters allegedly conducted an airstrike against certain ground targets across the Line of Control . They were intercepted by a group of IAF fighters consisting of Su-30MKI and MiG-21 jets. An ensuing dogfight began. According to India, one PAF F-16 was shot down by an IAF MiG-21 piloted by Abhinandan Varthaman , while Pakistan denied use of F-16s in the operation. According to Pakistan,
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#17327724410771344-645: A part of the Atlantic's debris from the marshy border regions of the Rann. Indian Air Force 8 October 1932 ; 92 years ago ( 1932-10-08 ) ( as Royal Indian Air Force ) The Indian Air Force ( IAF ) is the air arm of the Indian Armed Forces . Its primary mission is to secure Indian airspace and to conduct aerial warfare during armed conflicts. It was officially established on 8 October 1932 as an auxiliary air force of
1456-411: A particle of mass m {\displaystyle m} , moving in a potential field V {\displaystyle V} . Physically speaking, mass represents inertia , and the field V {\displaystyle V} represents external forces of a particular kind known as "conservative". Given V {\displaystyle V} at every relevant position, there
1568-499: A player is positioned so as to catch it as it descends, he sees its angle of elevation increasing continuously throughout its flight. The tangent of the angle of elevation is proportional to the time since the ball was sent into the air, usually by being struck with a bat. Even when the ball is really descending, near the end of its flight, its angle of elevation seen by the player continues to increase. The player therefore sees it as if it were ascending vertically at constant speed. Finding
1680-463: A reasonably good approximation, although if a comet passes close to the Sun, then it is also influenced by other forces such as the solar wind and radiation pressure , which modify the orbit and cause the comet to eject material into space. Newton's theory later developed into the branch of theoretical physics known as classical mechanics . It employs the mathematics of differential calculus (which
1792-533: A rebellion against Indian rule. This came to be known as the Second Kashmir War . This was the first time the IAF actively engaged an enemy air force. However, instead of providing close air support to the Indian Army , the IAF carried out independent raids against PAF bases. These bases were situated deep inside Pakistani territory, making IAF fighters vulnerable to anti-aircraft fire. During
1904-545: A result, HAL HF-24 Marut , designed by the famed German aerospace engineer Kurt Tank , were inducted into the air force. HAL also started developing an improved version of the Folland Gnat , known as HAL Ajeet . At the same time, the IAF also started inducting Mach 2 capable Soviet MiG-21 and Sukhoi Su-7 fighters. By late 1971, the intensification of the independence movement in East Pakistan lead to
2016-748: A show of force early that morning, making low-level passes over the islands. On 11 May 1999, the Indian Air Force was called in to provide close air support to the Indian Army at the height of the ongoing Kargil conflict with the use of helicopters. The IAF strike was code named Operation Safed Sagar . The first strikes were launched on 26 May, when the Indian Air Force struck infiltrator positions with fighter aircraft and helicopter gunships . The initial strikes saw MiG-27s carrying out offensive sorties, with MiG-21s and later MiG-29s providing fighter cover. The IAF also deployed its radars and
2128-589: A surprise. Indian officials add that Pakistan military aircraft had violated Indian airspace at least 50 times since January 1999, showing videotapes of Pakistani Atlantics "buzzing", or flying provocatively near the Indian Navy 's warships in the Indian Ocean. Some Indian analysts stated that the Atlantic was nearly destroyed in 1983 on a similar encounter and noted other close encounters and violations from Pakistani naval planes. Some experts stated that
2240-653: A town in the Pakistani province of Khyber Pakhtunkhwa . Pakistan claimed that the Indian aircraft had only dropped bombs in the forest area demolishing pine trees near the Jaba village which is 19 kilometres (12 mi) away from Balakot and Indian officials claimed to bomb and kill a large number of terrorists in the airstrike. On 27 February 2019, in retaliation for the IAF bombing of an alleged terrorist hideout in Balakot,
2352-458: A training flight over land deep inside foreign territory was an indication of its use in a surveillance role. India displayed part of the wreckage of the Pakistani naval aircraft at New Delhi airport the next day. Pakistan stated that the wreckage was removed from its side of the border by Indian helicopters. While Pakistan said that the plane was unarmed and the debris was within Pakistani territory, India maintained that warnings had been given to
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#17327724410772464-554: A trajectory is the path of a projectile, such as a thrown ball or rock. In a significantly simplified model, the object moves only under the influence of a uniform gravitational force field . This can be a good approximation for a rock that is thrown for short distances, for example at the surface of the Moon . In this simple approximation, the trajectory takes the shape of a parabola . Generally when determining trajectories, it may be necessary to account for nonuniform gravitational forces and air resistance ( drag and aerodynamics ). This
2576-490: A uniform downwards gravitational force we consider two bodies orbiting with the mutual gravitation between them, we obtain Kepler's laws of planetary motion . The derivation of these was one of the major works of Isaac Newton and provided much of the motivation for the development of differential calculus . If a projectile, such as a baseball or cricket ball, travels in a parabolic path, with negligible air resistance, and if
2688-427: A wide radius . Indian sources also stated that Pakistan's Information Minister , Mushahid Hussein, was initially quoted as saying that the aircraft was on a surveillance mission. India also alleged that the plane violated a bilateral agreement , signed by India and Pakistan in 1991, under which no military aircraft were to come within 10 kilometres (6.2 mi; 5.4 nmi) of the border (although Pakistan claimed
2800-411: Is a way to infer the associated force that would act at that position, say from gravity. Not all forces can be expressed in this way, however. The motion of the particle is described by the second-order differential equation On the right-hand side, the force is given in terms of ∇ V {\displaystyle \nabla V} , the gradient of the potential, taken at positions along
2912-828: Is also conducted at the Defence Services Staff College; specialised advanced flight training schools are located at Bidar , Karnataka and Hakimpet , Telangana (also the location for helicopter training). Technical schools are found at a number of other locations. Note: + = Functional Command A wing is a formation intermediate between a command and a squadron. It generally consists of two or three IAF squadrons and helicopter units, along with forward base support units (FBSU). FBSUs do not have or host any squadrons or helicopter units but act as transit airbases for routine operations. In times of war, they can become fully fledged air bases playing host to various squadrons. In all, about 47 wings and 19 FBSUs make up
3024-716: Is headed by an Air Officer Commanding-in-Chief with the rank of Air Marshal. The purpose of an operational command is to conduct military operations using aircraft within its area of responsibility, whereas the responsibility of functional commands is to maintain combat readiness . Aside from the Training Command at Bangalore, the primary flight training is done at the Air Force Academy (located in Hyderabad ), followed by operational training at various other schools. Advanced officer training for command positions
3136-543: Is perpendicular to it ( parallel to the gravitational field lines ). Let g {\displaystyle g} be the acceleration of gravity . Relative to the flat terrain, let the initial horizontal speed be v h = v cos ( θ ) {\displaystyle v_{h}=v\cos(\theta )} and the initial vertical speed be v v = v sin ( θ ) {\displaystyle v_{v}=v\sin(\theta )} . It will also be shown that
3248-403: Is taken as a directive meaning the IAF bears the responsibility of safeguarding Indian airspace and thus furthering national interests in conjunction with the other branches of the armed forces. The IAF provides close air support to the Indian Army troops on the battlefield as well as strategic and tactical airlift capabilities. The Integrated Space Cell is operated by the Indian Armed Forces ,
3360-422: Is the acceleration due to gravity). The range , R , is the greatest distance the object travels along the x-axis in the I sector. The initial velocity , v i , is the speed at which said object is launched from the point of origin. The initial angle , θ i , is the angle at which said object is released. The g is the respective gravitational pull on the object within a null-medium. The height , h ,
3472-509: Is the focus of the discipline of ballistics . One of the remarkable achievements of Newtonian mechanics was the derivation of Kepler's laws of planetary motion . In the gravitational field of a point mass or a spherically-symmetrical extended mass (such as the Sun ), the trajectory of a moving object is a conic section , usually an ellipse or a hyperbola . This agrees with the observed orbits of planets , comets , and artificial spacecraft to
1999 Pakistani Breguet 1150 Atlantic shootdown - Misplaced Pages Continue
3584-464: Is the greatest parabolic height said object reaches within its trajectory In terms of angle of elevation θ {\displaystyle \theta } and initial speed v {\displaystyle v} : giving the range as This equation can be rearranged to find the angle for a required range Note that the sine function is such that there are two solutions for θ {\displaystyle \theta } for
3696-651: Is the national Commander-in-chief of the Air Force. The Chief of the Air Staff with the rank of Air chief marshal is the Commander In January 2002, the government conferred the rank of Marshal of the Indian Air Force on Arjan Singh making him the first and only Five-star officer with the Indian Air Force and ceremonial chief of the air force. The Indian Air Force is divided into five operational and two functional commands . Each Command
3808-403: Is then R max = v 2 / g {\displaystyle R_{\max }=v^{2}/g\,} . At this angle sin ( π / 2 ) = 1 {\displaystyle \sin(\pi /2)=1} , so the maximum height obtained is v 2 4 g {\displaystyle {v^{2} \over 4g}} . To find
3920-400: Is zero when θ = π / 2 = 90 ∘ {\displaystyle \theta =\pi /2=90^{\circ }} . So the maximum height H m a x = v 2 2 g {\displaystyle H_{\mathrm {max} }={v^{2} \over 2g}} is obtained when the projectile is fired straight up. If instead of
4032-660: The 2019 Pulwama attack that was carried out by Jaish-e-Mohammed (JeM) which killed forty servicemen of the Central Reserve Police Force , a group of twelve Mirage 2000 fighter planes from the Indian Air Force carried out air strikes on alleged JeM bases in Chakothi and Muzaffarabad in the Pakistan-administered Kashmir. Furthermore, the Mirage 2000s targeted an alleged JeM training camp in Balakot ,
4144-524: The Ashoka Chakra . Around the same time, conflict broke out between them over the control of the princely state of Jammu & Kashmir . With Pakistani forces moving into the state, its Maharaja decided to accede to India in order to receive military help. The day after, the Instrument of Accession was signed, the RIAF was called upon to transport troops into the war zone. And this was when
4256-520: The Bangladesh Liberation War between India and Pakistan. On 22 November 1971, 10 days before the start of a full-scale war, four PAF F-86 Sabre jets attacked Indian and Mukti Bahini positions at Garibpur , near the international border. Two of the four PAF Sabres were shot down and one damaged by the IAF's Folland Gnats . On 3 December, India formally declared war against Pakistan following massive preemptive strikes by
4368-576: The British Empire which honoured India's aviation service during World War II with the prefix Royal . After India gained independence from United Kingdom in 1947, the name Royal Indian Air Force was kept and served in the name of the Dominion of India . With the transition to a republic in 1950, the prefix Royal was removed. Since 1950, the IAF has been involved in four wars with neighbouring Pakistan. Other major operations undertaken by
4480-512: The Budgam district . It was under the command of squadron leaders Siddarth Vashista and Ninad Mandavgane and crashed within ten minutes of take-off from the Srinagar air base. Four other IAF personnel were flight engineer Vishal Kumar Pandey, sergeant Vikrant Sehrawat, corporals Deepak Pandey and Pankaj Kumars that were killed along with two pilots. In October 2019, IAF confirmed that the helicopter
4592-664: The Burma Theatre IAF pilots participated in air operations in North Africa and Europe . In addition to the IAF, many native Indians and some 200 Indians resident in Britain volunteered to join the RAF and Women's Auxiliary Air Force . One such volunteer was Sergeant Shailendra Eknath Sukthankar, who served as a navigator with No. 83 Squadron. Sukthankar was commissioned as an officer, and on 14 September 1943, received
1999 Pakistani Breguet 1150 Atlantic shootdown - Misplaced Pages Continue
4704-758: The DFC . Squadron Leader Sukthankar eventually completed 45 operations, 14 of them on board the RAF Museum's Avro Lancaster R5868 . Another volunteer was Assistant Section Officer Noor Inayat Khan a Muslim pacifist and Indian nationalist who joined the WAAF, in November 1940, to fight against Nazism. Noor Khan served bravely as a secret agent with the Special Operations Executive (SOE) in France, but
4816-585: The Dominion of Pakistan . Along the lines of the geographical partition, the assets of the air force were divided between the new countries. India's air force retained the name of the Royal Indian Air Force, but three of the ten operational squadrons and facilities, located within the borders of Pakistan, were transferred to the Royal Pakistan Air Force . The RIAF Roundel was changed to an interim 'Chakra' roundel derived from
4928-513: The F-86 Sabres of the PAF earning it the nickname "Sabre Slayers". By the time the conflict had ended, the IAF lost 60–70 aircraft, while the PAF lost 43 aircraft. More than 60% of IAF's aircraft losses took place in ground attack missions to enemy ground-fire, since fighter-bomber aircraft would carry out repeated dive attacks on the same target. According to, Air Chief Marshal Arjan Singh of
5040-657: The International Court of Justice , blaming India for the incident, but the court dismissed the case, ruling that it had no jurisdiction in the matter. The French-built Breguet Br.1150 Atlantic, c/n 33, flight Atlantic-91, of 29 Squadron, was one of the Pakistan Navy's frontline aircraft, used primarily for patrol and reconnaissance. Atlantic-91 left Mehran Naval Base in Pakistan at 9:15 am PKT (9:45 IST ). Indian Air Force ground radar picked up
5152-609: The Line of Control in the Kel sector, following inputs about Pakistani military buildup near the sector. On 20 August 2013, the Indian Air Force created a world record by performing the highest landing of a C-130J at the Daulat Beg Oldi airstrip in Ladakh at the height of 5,065 metres (16,617 ft). The medium-lift aircraft will be used to deliver troops, supplies and improve communication networks. The aircraft belonged to
5264-543: The MiG-29 fighters in vast numbers to keep check on Pakistani military movements across the border. Srinagar Airport was at this time closed to civilian air-traffic and dedicated to the Indian Air Force. On 27 May, the Indian Air Force suffered its first fatality when it lost a MiG-21 and a MiG-27 in quick succession. The following day, while on an offensive sortie, a Mi-17 was shot down by three Stinger missiles and lost its entire crew of four. Following these losses
5376-642: The Portuguese Air Force , but to no avail. On 18 December, two waves of Canberra bombers bombed the runway of Dabolim airfield taking care not to bomb the Terminals and the ATC tower. Two Portuguese transport aircraft (a Super Constellation and a DC-6 ) found on the airfield were left alone so that they could be captured intact. However the Portuguese pilots managed to take off the aircraft from
5488-555: The Sri Lankan Civil War , and to provide humanitarian aid through an unarmed convoy of ships, the Indian Government decided to carry out an airdrop of the humanitarian supplies on the evening of 4 June 1987 designated Operation Poomalai ( Tamil : Garland) or Eagle Mission 4. Five An-32s escorted by four Mirage 2000 of 7 Sqn AF, 'The Battleaxes', carried out the supply drop which faced no opposition from
5600-600: The Veiled Vipers squadron based at Hindon Air Force Station . On 13 July 2014, two MiG-21s were sent from Jodhpur Air Base to investigate a Turkish Airlines aircraft over Jaisalmer when it repeated an identification code , provided by another commercial passenger plane that had already entered Indian airspace before it. The flights were on their way to Mumbai and Delhi, and the planes were later allowed to proceed after their credentials were verified. Following heightened tensions between India and Pakistan after
5712-455: The range is 2 v h v v / g {\displaystyle 2v_{h}v_{v}/g} , and the maximum altitude is v v 2 / 2 g {\displaystyle v_{v}^{2}/2g} . The maximum range for a given initial speed v {\displaystyle v} is obtained when v h = v v {\displaystyle v_{h}=v_{v}} , i.e.
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#17327724410775824-410: The 16-judge Bench headed by Gilbert Guillaume of France ruled, with a 14–2 verdict, upholding India's submission that the court had no jurisdiction in this matter. Pakistan's claims were dropped, without recourse to appeal, and the outcome was seen as a decision highly favourable to India. The Pakistan government had spent close to 25 million Pakistani rupees (approx. $ 400,000) on the case. In India,
5936-483: The Air Staff , an air chief marshal , is a four-star officer and is responsible for the bulk of operational command of the Air Force. There is never more than one serving ACM at any given time in the IAF. The rank of Marshal of the Air Force has been conferred by the President of India on one occasion in history, to Arjan Singh . On 26 January 2002, Singh became the first and so far, only five-star rank officer of
6048-491: The Atlantic and that its flight trajectory meant it could have fallen on either side of the border. According to the Indian version of events, the MiGs tried to escort it to a nearby Indian base, when the Pakistani aircraft turned abruptly and tried to make a dash for the border; it was only then that it was fired upon. India claimed that the debris was found in a radius of two kilometres (1.2 mi; 1.1 nmi) on either side of
6160-428: The Atlantic was intercepted and an infrared homing R-60 air-to-air missile was fired at it by Squadron Leader P.K. Bundela , hitting the engine on the port side of the plane. The event immediately sparked claims and counter-claims by both nations. Pakistan claimed that the plane was unarmed and the debris was found on Pakistan's side of the border, and there was no violation of Indian airspace . According to
6272-416: The Atlantic was not a combat aircraft). Indian experts also questioned why a training mission was being carried out so close to the border, when all air forces conduct training flights in clearly demarcated training areas located well away from international boundaries. According to them, the Pakistani claim was untenable since the primary role of the Atlantic is for operations over the sea and that to carry out
6384-446: The Atlantic was probably conducting a "probe" on India's air defence system, mainly the radar equipment in the border area; they advised that it was not part of any planned aggressive military action by Pakistan. Foreign diplomats who visited the crash site noted that the plane "may have strayed into restricted space", and that Islamabad was unable to explain why it was flying so close to the border; they added that India's reaction to
6496-418: The Atlantic wreckage site, along the border between the Indian state of Gujarat and Pakistan's Sindh Province, and were then fired upon by Pakistan marines. No damage was recorded as the missiles missed the target. The IAF thus aborted their mission and could safely return. The helicopter carrying the journalists also returned without any damage. Following this, and the rising tensions in the area coupled by
6608-877: The Chinese; especially in Jammu and Kashmir . On 24 April 1965, an Indian Ouragan strayed over the Pakistani border and was forced to land by a Pakistani Lockheed F-104 Starfighter , the pilot was returned to India; however, the captured aircraft would be kept by the Pakistan Air Force(PAF) and ended up being displayed at the PAF museum in Peshawar . Three years after the Sino-Indian conflict, in 1965, Pakistan launched Operation Gibraltar , strategy of Pakistan to infiltrate Jammu and Kashmir, and start
6720-482: The DC-3 ( Mukhtar Ahmad Dogar ) managed to evade the fighters. Other than that, it also provided effective transport and close air support to the Indian troops. When India became a republic in 1950, the prefix 'Royal' was dropped from the Indian Air Force. At the same time, the current IAF roundel was adopted. The IAF saw significant conflict in 1960, when Belgium's 75-year rule over Congo ended abruptly, engulfing
6832-417: The IAF has decreased to 33 squadrons during this period because of the retirement of older aircraft. Still, India maintains the fourth largest air force in the world. The IAF plans to raise its strength to 42 squadrons. Self-reliance is the main aim that is being pursued by the defence research and manufacturing agencies. On 10 August 1999, IAF MiG-21s intercepted a Pakistan Navy Breguet Atlantique which
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#17327724410776944-528: The IAF immediately withdrew helicopters from offensive roles as a measure against the threat of Man-portable air-defence systems (MANPAD). On 30 May, the Mirage 2000s were introduced in offensive capability, as they were deemed better in performance under the high-altitude conditions of the conflict zone. Mirage 2000s were not only better equipped to counter the MANPAD threat compared to the MiGs, but also gave IAF
7056-481: The IAF include Operation Vijay , Operation Meghdoot , Operation Cactus and Operation Poomalai . The IAF's mission expands beyond engagement with hostile forces, with the IAF participating in United Nations peacekeeping missions . The President of India holds the rank of Supreme Commander of the IAF. As of 1 July 2017 , 170,576 personnel are in service with the Indian Air Force. The Chief of
7168-892: The IAF played an instrumental role in halting the advance of the Japanese army in Burma , where the first IAF air strike was executed. The target for this first mission was the Japanese military base in Arakan , after which IAF strike missions continued against the Japanese airbases at Mae Hong Son , Chiang Mai and Chiang Rai in northern Thailand . The IAF was mainly involved in strike , close air support , aerial reconnaissance , bomber escort and pathfinding missions for RAF and USAAF heavy bombers. RAF and IAF pilots would train by flying with their non-native air wings to gain combat experience and communication proficiency. Besides operations in
7280-594: The IAF. The IAF's mission is defined by the Armed Forces Act of 1947 , the Constitution of India , and the Air Force Act of 1950. It decrees that in the aerial battlespace : Defence of India and every part there of including preparation for defence and all such acts as may be conducive in times of war to its prosecution and after its termination to effective demobilisation. In practice, this
7392-416: The IAF. Wings are typically commanded by an air commodore . Within each operational command are anywhere from nine to sixteen bases or stations. Smaller than wings, but similarly organised, stations are static units commanded by a group captain . A station typically has one wing and one or two squadrons assigned to it. Squadrons are the field units and formations attached to static locations. Thus,
7504-598: The Indian Air Force, despite having been qualitatively inferior, IAF achieved air superiority in three days in the 1965 War . After the 1965 war, the IAF underwent a series of changes to improve its capabilities. In 1966, the Para Commandos regiment was created. To increase its logistics supply and rescue operations ability, the IAF inducted 72 HS 748s which were built by Hindustan Aeronautics Limited (HAL) under licence from Avro . India started to put more stress on indigenous manufacture of fighter aircraft . As
7616-450: The Indian border, coming close to the Bhuj air base before the IAF spotted it and brought it down with several missiles. Indian analysts state "flare-ups" in the Rann of Kutch region were routine, and despite bilateral agreements, both India and Pakistan had conducted air intrusions in the past. Thus, the fact that the Atlantic was shot down, despite coming close to the Indian border, came as
7728-490: The PAF against Indian Air Force installations in Srinagar, Ambala, Sirsa, Halwara and Jodhpur. However, the IAF did not suffer significantly because the leadership had anticipated such a move and precautions were taken. The Indian Air Force was quick to respond to Pakistani air strikes, following which the PAF carried out mostly defensive sorties . Within the first two weeks, the IAF had carried out almost 12,000 sorties over East Pakistan and also provided close air support to
7840-527: The Portuguese surrendered the former colony was integrated into India. In 1962, border disagreements between China and India escalated to a war when China mobilised its troops across the Indian border. During the Sino-Indian War , India's military planners failed to deploy and effectively use the IAF against the invading Chinese forces. This resulted in India losing a significant amount of advantage to
7952-551: The Sri Lankan Armed Forces. Another Mirage 2000 orbited 150 km away, acting as an airborne relay of messages to the entire fleet since they would be outside radio range once they descended to low levels. The Mirage 2000 escort formation was led by Wg Cdr Ajit Bhavnani, with Sqn Ldrs Bakshi, NA Moitra and JS Panesar as his team members and Sqn Ldr KG Bewoor as the relay pilot. Sri Lanka accused India of "blatant violation of sovereignty". India insisted that it
8064-589: The UN ground forces with its only long-range air support force. In late 1961, the Indian government decided to attack the Portuguese colony of Goa after years of disagreement between New Delhi and Lisbon . The Indian Air Force was requested to provide support elements to the ground force in what was called Operation Vijay . Probing flights by some fighters and bombers were carried out from 8–18 December to draw out
8176-454: The ability to carry out aerial raids at night. The MiG-29s were used extensively to provide fighter escort to the Mirage 2000. Radar transmissions of Pakistani F-16s were picked up repeatedly, but these aircraft stayed away. The Mirages successfully targeted enemy camps and logistic bases in Kargil and severely disrupted their supply lines. Mirage 2000s were used for strikes on Muntho Dhalo and
8288-586: The actual target; bombing; and reconnaissance. In contrast, the Pakistan Air Force, which was solely focused on air combat, was blown out of the subcontinent's skies within the first week of the war. Those PAF aircraft that survived took refuge at Iranian air bases or in concrete bunkers, refusing to offer a fight. Hostilities officially ended at 14:30 GMT on 17 December, after the fall of Dacca on 15 December. India claimed large gains of territory in West Pakistan (although pre-war boundaries were recognised after
8400-694: The advancing Indian Army. IAF also assisted the Indian Navy in its operations against the Pakistani Navy in the Bay of Bengal and Arabian Sea . On the western front, the IAF destroyed more than 20 Pakistani tanks, 4 APCs and a supply train during the Battle of Longewala . The IAF undertook strategic bombing of West Pakistan by carrying out raids on oil installations in Karachi , the Mangla Dam and
8512-405: The analysis that follows, we derive the equation of motion of a projectile as measured from an inertial frame at rest with respect to the ground. Associated with the frame is a right-hand coordinate system with its origin at the point of launch of the projectile. The x {\displaystyle x} -axis is tangent to the ground, and the y {\displaystyle y} axis
8624-687: The angle giving the maximum height for a given speed calculate the derivative of the maximum height H = v 2 sin 2 ( θ ) / ( 2 g ) {\displaystyle H=v^{2}\sin ^{2}(\theta )/(2g)} with respect to θ {\displaystyle \theta } , that is d H d θ = v 2 2 cos ( θ ) sin ( θ ) / ( 2 g ) {\displaystyle {\mathrm {d} H \over \mathrm {d} \theta }=v^{2}2\cos(\theta )\sin(\theta )/(2g)} which
8736-479: The border and that the intrusion took place 10 kilometres (6.2 mi; 5.4 nmi) inside the Kori Creek , which is Indian territory. Pakistan requested that the matter be taken up in the UN. Indian officials claimed that there had been previous violations in the area and pointed out that in the previous year a Pakistani unmanned surveillance aircraft had intruded 150 kilometres (93 mi; 81 nmi) inside
8848-559: The capacity to provide rapid response evacuation, search-and-rescue (SAR) operations, and delivery of relief supplies to affected areas via cargo aircraft. The IAF provided extensive assistance to relief operations during natural calamities such as the Gujarat cyclone in 1998 , the tsunami in 2004 , and North India floods in 2013. The IAF has also undertaken relief missions such as Operation Rainbow in Sri Lanka . The Indian Air Force
8960-563: The civilian Department of Space , and the Indian Space Research Organisation . By uniting the civilian run space exploration organisations and the military faculty under a single Integrated Space Cell the military is able to efficiently benefit from innovation in the civilian sector of space exploration, and the civilian departments benefit as well. The Indian Air Force, with highly trained crews, pilots, and access to modern military assets provides India with
9072-411: The course of the conflict, the PAF enjoyed technological superiority over the IAF and had achieved substantial strategic and tactical advantage due to the suddenness of the attack and advanced state of their air force. The IAF was restrained by the government from retaliating to PAF attacks in the eastern sector while a substantive part of its combat force was deployed there and could not be transferred to
9184-506: The end of the war, IAF's transport planes dropped leaflets over Dhaka urging the Pakistani forces to surrender, demoralising Pakistani troops in East Pakistan. In 1984, India launched Operation Meghdoot to capture the Siachen Glacier in the contested Kashmir region. In Op Meghdoot, IAF's Mi-8 , Chetak and Cheetah helicopters airlifted hundreds of Indian troops to Siachen. Launched on 13 April 1984, this military operation
9296-562: The fact that the Sir Creek was a disputed territory, both the countries' militaries near the Rann of Kutch and nearby were put on high alert. Pakistan sent a company of marines, equipped with both laser guided and infrared homing shoulder-fired surface-to-air missiles , to the site near the border. Coming barely weeks after the Kargil Conflict where both nuclear armed countries fought high altitude warfare, this incident
9408-527: The ground forces and also provided air transportation to the Sri Lankan civil administration during the elections. Mi-25s of No. 125 Helicopter Unit were utilised to provide suppressive fire against militant strong points and to interdict coastal and clandestine riverine traffic. On the night of 3 November 1988, the Indian Air Force mounted special operations to airlift a parachute battalion group from Agra , non-stop over 2,000 kilometres (1,200 mi) to
9520-410: The heavily defended Tiger Hill and paved the way for their early recapture. At the height of the conflict, the IAF was conducting over forty sorties daily over the Kargil region. By 26 July, the Indian forces had successfully repulsed the Pakistani forces from Kargil. Since the late 1990s, the Indian Air Force has been modernising its fleet to counter challenges in the new century. The fleet size of
9632-466: The incident made the two pilots of the MiG-21s into instant heroes. On 8 October 2000, the prestigious Vayu Sena Medal was awarded to Squadron Leader P. K. Bundela. The medal was also awarded to Wing Commander V. S. Sharma (the fighter controller who tracked the Atlantic, guided the pilot and ordered him to attack the plane) and Squadron Leader Pankaj Vishnoi, the helicopter pilot who recovered
9744-693: The incident was not justified. Many countries, the G8 , the permanent members of the UN Security Council , as well as the western media questioned the wisdom behind Pakistan's decision to fly military aircraft so close to the Indian border. On the day following the attack, an IAF helicopter carrying journalists to the site of the attack was attacked by the Pakistan Marines with a surface-to-air missile . Pakistani officials asserted that two Indian jets had intruded into Pakistani airspace near
9856-425: The inertial frame the co-ordinates of the projectile becomes y = x tan ( θ ) − g ( x / v h ) 2 / 2 {\displaystyle y=x\tan(\theta )-g(x/v_{h})^{2}/2} That is: (where v 0 is the initial velocity, θ {\displaystyle \theta } is the angle of elevation, and g
9968-399: The initial angle is 45 ∘ {\displaystyle ^{\circ }} . This range is v 2 / g {\displaystyle v^{2}/g} , and the maximum altitude at the maximum range is v 2 / ( 4 g ) {\displaystyle v^{2}/(4g)} . Assume the motion of the projectile is being measured from
10080-609: The nation in widespread violence and rebellion . The IAF activated No. 5 Squadron , equipped with English Electric Canberra , to support the United Nations Operation in the Congo . The squadron started undertaking operational missions in November. The unit remained there until 1966, when the UN mission ended. Operating from Leopoldville and Kamina , the Canberras soon destroyed the rebel Air Force and provided
10192-419: The official Pakistan version of events, the plane was on a routine training mission inside Pakistan air space. The Pakistani Prime Minister stated during the funeral service of the airmen that the shooting was a barbaric act. The Indian Air force claimed that the aeroplane did not respond to international protocol and that it acted in a "hostile" manner, adding that the debris of a downed aircraft could fall over
10304-529: The pilots were killed as a result. The episode took place just a month after the Kargil War ended, aggravating already tense relations between the two countries. Foreign diplomats based in Pakistan who were escorted to the site by the Pakistan Army noted that the plane may have crossed the border. They also believed that India's reaction was unjustified. Pakistan later lodged a compensation claim at
10416-553: The plane as it approached the India-Pakistan border. Two IAF MiG-21 interceptor aircraft of No. 45 Squadron , from the Indian airbase at Naliya in the Kutch region, were scrambled. After a series of manoeuvres—with conflicting versions of events from both sides—the two fighter jets were given clearance to shoot down the Pakistani plane. At 11:17 am IST (10:47 am PKT), nearly two hours after takeoff from Pakistan,
10528-543: The remote Indian Ocean archipelago of the Maldives in response to Maldivian president Gayoom 's request for military help against a mercenary invasion in Operation Cactus . The IL-76s of No. 44 Squadron landed at Hulhule at 0030 hours and the Indian paratroopers secured the airfield and restored Government rule at Male within hours. Four Mirage 2000 aircraft of 7 Sqn, led by Wg Cdr AV 'Doc' Vaidya, carried out
10640-434: The six Jordanian F-104s which failed to return to their donors. But the imbalance in air losses was explained by the IAF's considerably higher sortie rate, and its emphasis on ground-attack missions. On the ground Pakistan suffered most, with 9,000 killed and 25,000 wounded while India lost 3,000 dead and 12,000 wounded. The loss of armoured vehicles was similarly imbalanced. This represented a major defeat for Pakistan. Towards
10752-460: The still damaged airfield and made their getaway to Portugal . Hunters attacked the wireless station at Bambolim. Vampires were used to provide air support to the ground forces. In Daman , Mystères were used to strike Portuguese gun positions. Ouragans (called Toofanis in the IAF) bombed the runways at Diu and destroyed the control tower, wireless station and the meteorological station. After
10864-642: The three main passes of the Saltoro Ridge immediately west of the glacier— Sia La , Bilafond La , and Gyong La . Pakistan controls the glacial valleys immediately west of the Saltoro Ridge. According to the TIME magazine , India gained more than 3,000 square kilometres (1,000 sq mi) of territory because of its military operations in Siachen. Following the inability to negotiate an end to
10976-402: The trajectory. This is the mathematical form of Newton's second law of motion : force equals mass times acceleration, for such situations. The ideal case of motion of a projectile in a uniform gravitational field in the absence of other forces (such as air drag) was first investigated by Galileo Galilei . To neglect the action of the atmosphere in shaping a trajectory would have been considered
11088-490: The valiant service by the IAF, King George VI conferred the prefix "Royal" in 1945. Thereafter the IAF was referred to as the Royal Indian Air Force . In 1950, when India became a republic, the prefix was dropped and it reverted to being the Indian Air Force. After it became independent from the British Empire in 1947, British India was partitioned into the new states of the Dominion of India and
11200-676: The victims' families. India's attorney general , Soli Sorabjee , argued that the court did not have jurisdiction , citing an exemption it filed in 1974 to exclude disputes between India and other Commonwealth States, and disputes covered by multi-lateral treaties . In the buildup to the case, India also contended that Pakistan had violated the 1991 bilateral agreement between Pakistan and India on air violations, which states: " Combat aircraft (including, bombers , reconnaissance aircraft , jet military trainer and armed helicopter ) will not fly within 10 km of each other's airspace including air defence identification zone ." On 21 June 2000,
11312-475: The war), and the independence of Pakistan's East wing as Bangladesh was confirmed. The IAF had flown over 16,000 sorties on both East and West fronts; including sorties by transport aircraft and helicopters. while the PAF flew about 30 and 2,840. More than 80 per cent of the IAF's sorties were close-support and interdiction, and according to neutral assessments about 45 IAF Aircraft were lost while, Pakistan lost 75 aircraft. Not including any F-6s, Mirage IIIs, or
11424-418: The western sector, against the possibility of Chinese intervention. Moreover, international (UN) stipulations and norms did not permit military force to be introduced into the Indian state of J&K beyond what was agreed during the 1949 ceasefire. Despite this, the IAF was able to prevent the PAF from gaining air superiority over conflict zones. The small and nimble IAF Folland Gnats proved effective against
11536-740: Was acting only on humanitarian grounds. In 1987, the IAF supported the Indian Peace Keeping Force (IPKF) in northern and eastern Sri Lanka in Operation Pawan . About 70,000 sorties were flown by the IAF's transport and helicopter force in support of nearly 100,000 troops and paramilitary forces without a single aircraft lost or mission aborted. IAF An-32s maintained a continuous air link between air bases in South India and Northern Sri Lanka transporting men, equipment, rations and evacuating casualties. Mi-8s supported
11648-401: Was also initiated by Newton in his youth). Over the centuries, countless scientists have contributed to the development of these two disciplines. Classical mechanics became a most prominent demonstration of the power of rational thought, i.e. reason , in science as well as technology. It helps to understand and predict an enormous range of phenomena ; trajectories are but one example. Consider
11760-665: Was captured by the Pakistan military. Before his capture he was assaulted by a few locals. After a couple of days of captivity, the captured pilot was released by Pakistan per Third Geneva convention obligations. While Pakistan denied involvement of any of its F-16 aircraft in the strike, the IAF presented remnants of AMRAAM missiles that are only carried by the F-16s within the PAF as proof of their involvement. Unnamed US officials told Foreign Policy magazine in April 2019 that an audit didn't find any Pakistani F-16s missing. However, this
11872-829: Was established on 8 October 1932 in British India as an auxiliary air force of the Royal Air Force . The enactment of the Indian Air Force Act 1932 stipulated out their auxiliary status and enforced the adoption of the Royal Air Force uniforms, badges, brevets and insignia. On 1 April 1933, the IAF commissioned its first squadron, No.1 Squadron, with four Westland Wapiti biplanes and five Indian pilots. The Indian pilots were led by British RAF Commanding officer Flight Lieutenant (later Air Vice Marshal) Cecil Bouchier . During World War II ,
11984-674: Was eventually betrayed and captured. Many of these Indian airmen were seconded or transferred to the expanding IAF such as Squadron Leader Mohinder Singh Pujji DFC who led No. 4 Squadron IAF in Burma. During the war, the IAF experienced a phase of steady expansion. New aircraft added to the fleet included the US-built Vultee Vengeance , Douglas Dakota , the British Hawker Hurricane , Supermarine Spitfire , and Westland Lysander . In recognition of
12096-402: Was flying over Sir Creek , a disputed territory. The aircraft was shot down killing all 16 Pakistani Navy personnel on board. India claimed that the Atlantic was on a mission to gather information on IAF air defence, a charge emphatically rejected by Pakistan which argued that the unarmed aircraft was on a training mission. On 2 August 2002, the Indian Air Force bombed Pakistani posts along
12208-515: Was not confirmed by the United States, which cited it as bilateral matter between US and Pakistan. Various international military observers reject Indian claim of shooting down PAF F-16. IAF also lost a MI-17 helicopter during Indo-Pakistan standoff 2019. On the same day of 27 February 2019, around twenty minutes before the MiG-21 downing, an Indian Mil Mi-17 helicopter crashed, killing six Indian Air Force personnel and one civilian in
12320-476: Was seen with growing concern around the world. The US State Department termed the subcontinent as being in a state of "continued high-stakes tension." On 21 September 1999, Pakistan lodged a compensation claim at the International Court of Justice (ICJ) in The Hague , accusing India of shooting down a military aircraft. Pakistan sought about US$ 60 million in reparations from India and compensation for
12432-693: Was shot down by an Indian SPYDER surface-to-air missile mistaking it as an PAF aircraft and said that five personnel were held guilty for the lapses. IAF dismissed Group Captain Suman Roy Choudhry Chief Operations Officer (COO) of the Srinagar Air Force Station from his service in 2023 for his negligence during PAF strikes. The President of India is the Supreme Commander of all Indian armed forces and by virtue of that fact
12544-449: Was unique because of Siachen's inhospitable terrain and climate. The military action was successful, given the fact that under a previous agreement, neither Pakistan nor India had stationed any personnel in the area. With India's successful Operation Meghdoot , it gained control of the Siachen Glacier . India has established control over all of the 70 kilometres (43 mi) long Siachen Glacier and all of its tributary glaciers, as well as
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