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Formation flying

Formation flying is the coordinated operation of two or more in close proximity, maintaining predetermined relative positions through synchronized maneuvers, typically for purposes of mutual , efficient , , or aerial demonstrations. The concept also applies to observed in , such as flocks and swarms. This practice treats the group as a single unit for purposes, with pilots arranging operations in advance and the flight leader responsible for intra-formation separation. In the United States, federal regulations under 14 CFR § 91.111 require that all formation flights be prearranged among the pilots in command and prohibit any aircraft carrying passengers for hire from operating in formation flight, emphasizing collision avoidance and disciplined execution to prevent hazards. The origins of formation flying trace back to , when early technologies made aircraft vulnerable, prompting the development of tactical groupings where planes escorted missions for mutual defense against enemy threats. By the end of the war in 1918, standardized formations had become a core element of aerial combat doctrine, with nations like establishing initial rules for coordinated maneuvers. Post-war, civilian applications emerged through airshows and informal group flights, which helped popularize and promote . In modern contexts, formation flying encompasses both military and civilian domains, with techniques refined for precision and safety. Military formations prioritize firepower concentration and protection, often using standard configurations limited to 1 laterally and 100 feet vertically from the lead aircraft, while nonstandard setups require approval. Civilian uses include cross-country efficiency, , and high-profile displays by teams like the U.S. Thunderbirds, supported by organizations such as the Formation and Safety Team (FAST), which provides training clinics to standardize procedures across warbird communities. Safety remains paramount, relying on trust between the lead pilot—who handles and communication—and wingmen, who maintain visual station-keeping to avoid mid-air collisions.

Fundamentals

Definition and Types

Formation flying refers to the coordinated flight of multiple , , or vehicles that maintain specific relative positions to one another, enabling collective benefits such as reduced energy expenditure, enhanced tactical coordination, and improved safety during group movement. In , it involves pilots or automated systems ensuring precise station-keeping, often within feet of separation, to exploit aerodynamic advantages or achieve operational goals. For , it manifests as instinctive grouping behaviors that optimize flight efficiency across species like geese and pelicans. This practice presupposes reliable communication or visual cues among participants to sustain positions, preventing collisions while pursuing communal advantages like through shared airflow or mutual vigilance against threats. Types of formation flying vary by context, spacing, and purpose, broadly categorized into loose and close variants, with specific shapes adapted for or natural settings. Loose formations feature wider spacing—typically 2 to 500 feet between —for better visibility and maneuverability during transit or less demanding operations, as seen in C-130 cargo plane configurations where separations reach 3,500 feet longitudinally and 1,000 feet laterally. In contrast, close formations maintain tight proximities, often with wingtips just 3 feet apart, to maximize aerodynamic efficiency or display precision, exemplified by the fingertip or in , where form a compact V-shape for coordinated maneuvers. Common shapes include the echelon, a staggered linear arrangement where trailing members offset to one side for sequential visibility and airflow benefits, used in both bird flocks and aircraft flights. The V-formation, or chevron, is prevalent among migratory birds like Canada geese, positioning followers in the upwash of predecessors to reduce individual effort, while in aviation it adapts to echelon-like diagonals for fuel savings up to 10% per trailing aircraft. Other configurations encompass the diamond, a symmetrical four-aircraft setup for aerobatic displays emphasizing balance and control, and line abreast, where participants align perpendicular to the direction of travel for broad coverage or transitional grouping in bird flocks. These types form due to inherent needs for efficiency and security, with birds relying on visual alignment for cohesion and aircraft on instrumentation for stability.

Aerodynamic Principles

Formation flying leverages aerodynamic interactions among individuals to minimize energy expenditure, primarily through the exploitation of wake vortices generated by leading members. The core mechanism involves the upwash region created by the of a leading or , which induces an upward flow that augments on trailing members. This additional allows trailing individuals to reduce their while maintaining the same total , thereby decreasing induced —the component of drag arising from the generation of . In optimal positioning, such as directly behind and slightly offset from the leader, theoretical induced drag reductions of up to 30% for two- formations, with theoretical models suggesting potential savings approaching 50% in idealized V-shaped configurations for larger groups. The lift augmentation can be quantified using principles from vortex theory, where the trailing member benefits from the induced velocity field of the leader's tip vortices. The additional lift ΔL arises from the vertical component of the induced velocity, approximated as ΔL ≈ ρ U ∞ b' (Γ / (2π V)) sin(θ), where ρ is air density, U ∞ is freestream velocity, b' is the effective span of the trailing wing, Γ is the circulation strength of the tip vortex (related to the leader's lift via Γ = L / (ρ V b)), V is the distance from the vortex core to the trailing wing, and θ is the angular position relative to the vortex axis. This equation derives from the Biot-Savart law for the velocity induced by a vortex filament, projecting the tangential velocity v_θ = Γ / (2π V) onto the vertical direction via sin(θ); the effective angle-of-attack increase Δα ≈ [ (Γ / (2π V)) sin(θ) ] / U ∞ then boosts lift via the standard lift curve slope. In close formation flying, maintaining minimum safe distances is critical to harness these benefits while mitigating vortex hazards, such as sudden roll moments from core encounter. Longitudinal separations of 1-2 s allow trailing members to position within the stable upwash region without entering the turbulent vortex core, achieving peak efficiency; lateral offsets of 0.1-0.2 s further optimize lift-to-drag ratios up to 14. Deviations beyond 10% of a from the optimal spot can result in over 30% loss of drag reduction benefits. Computational simulations and physical models, including analogies to ground effect, have validated these efficiencies. Large eddy simulations (LES) using tools like demonstrate that trailing wings experience enhanced coefficients and reduced coefficients in vortex upwash, with results corroborated by tests on low-aspect-ratio airfoils showing increases up to 15%. These models highlight how formation positioning modulates and induced similarly to proximity to a , confirming energy savings of up to 15-18% in experimental and simulated conditions. Recent research from 2025, drawing on -inspired dynamic models, reveals nonlinear savings in formations where or maneuvering introduces unsteady vortex interactions. For instance, synchronized wingbeats in simulated migratory pairs yield up to 32% improvements in aerodynamic efficiency, with savings scaling nonlinearly due to undulating 3D vortex structures that amplify upwash during certain phases of motion. These findings underscore the potential for adaptive formations to exceed steady-state benefits in real-world applications.

Historical Development

Early Observations in Nature

Early observations of formation flying in nature date back to ancient times, with philosopher documenting group migrations of birds in the 4th century BCE. In his Historia Animalium, described how cranes migrated in flocks from to the marshlands of , while pelicans traveled in groups from the River Strymon to the Ister, with earlier arrivals guiding subsequent ones. He also noted seasonal movements of geese, swans, and other species in flocks to warmer or cooler regions, likening these patterns to human relocations for climate reasons. Indigenous peoples in similarly recorded detailed knowledge of bird migrations and flock behaviors through oral traditions and subsistence practices, often integrating these observations into cultural and survival strategies. , for instance, tracked the spring arrival of migratory flocks from the south as a key seasonal indicator, using 99 species for food, clothing, and tools while noting their predictable group patterns to time hunts and gatherings. communities in observed Canada geese (nisk) migrating in flocks between coastal and inland areas, distinguishing by neck length and documenting historical abundance in the 1970s–1980s, when flocks followed reliable routes tied to eelgrass beds and berries. These accounts highlight flocks' role in forecasting environmental changes and sustaining communities. In the 19th and early 20th centuries, ornithological studies began systematically noting bird flock formations, particularly the V-shaped patterns of geese during . Naturalist , in a , explained the evolutionary origins of in migratory birds, arguing that large groups maintained directional consistency and enhanced survival through collective vigilance during long journeys. Around the same time, aerodynamicist Carl Wieselsberger proposed that V-formations provided an energy-saving benefit, as trailing birds could exploit from leaders to reduce drag, a hypothesis based on observations of migrating waterfowl. Early researchers also drew analogies between these avian groups and fish schools, viewing both as coordinated collectives that improved efficiency and predator avoidance through synchronized movement, though detailed comparisons emerged more prominently in behavioral studies of the era. These observations laid foundational hypotheses for later experimental validations of aerodynamic gains in natural groups.

Evolution in Human Aviation

Formation flying in human emerged during the early , primarily driven by the necessities of military operations. In (1914-1918), began flying in loose formations to provide mutual protection against enemy fighters, as single planes were highly vulnerable; this practice allowed pilots to cover each other's blind spots and coordinate observations more effectively. The adoption of such formations marked a shift from solo flights to coordinated group tactics. Advancements accelerated during , where tight formations became standard for both offensive and defensive purposes. The Royal Air Force (RAF) employed bomber streams in large, tightly packed groups during night operations from 1943 to 1945, such as in the raids on , to overwhelm enemy defenses and maximize the impact of their bomb loads while minimizing losses from anti-aircraft fire. In fighter tactics, the German Luftwaffe's "finger four" formation—arranged in two pairs offset like fingers on a hand—revolutionized aerial combat by improving and enabling rapid maneuvers against opponents, a method later adopted by Allied forces. Following the war, formation flying transitioned into peacetime applications, emphasizing precision and spectacle. The established the Thunderbirds aerobatic team in 1953, showcasing tight formations in and patterns during airshows to demonstrate pilot skill and aircraft capabilities, which helped boost public support for . Civil airshows similarly proliferated, with groups like the (formed in 1946 by the U.S. Navy) performing synchronized routines that highlighted the safety and artistry of formation flying in non-combat settings. In recent years, formation flying has incorporated (AI) to enhance safety and address pilot workloads, particularly through human-machine teaming. As of , the U.S. Air Force has tested AI-enabled autonomous platforms flying collaboratively with crewed fighters, improving formation coordination primarily for unmanned systems alongside manned . Additionally, research into fuel-saving formations for , inspired by bird V-formations and exploiting , has shown potential efficiency gains of up to 10%, as demonstrated in NASA's earlier Autonomous Formation Flight project. Ongoing studies as of explore applications for airliners to reduce fuel consumption. These developments underscore formation flying's evolution from wartime survival tactics to a tool for sustainable .

Applications in Nature

Bird Formations

Migrating birds such as geese and pelicans commonly adopt V-formations during long-distance flights to enhance efficiency. In this arrangement, birds position themselves behind and to the sides of the leader, exploiting the aerodynamic upwash generated by the of the preceding bird. This configuration is particularly prevalent in species like Canada geese (Branta canadensis) and great white pelicans (Pelecanus onocrotalus), which travel thousands of kilometers annually. To mitigate the higher energy demands on the lead position, birds engage in periodic rotations, where the front bird drops back into the formation after becoming fatigued, allowing another to assume the lead role and distribute the workload evenly across the flock. These formations yield significant energy savings, with studies indicating reductions in power output of up to 20-30% compared to solitary flight. telemetry research on pelicans has confirmed this benefit, showing lower and reduced flapping frequency for birds in trailing positions versus the leader, thereby extending flight range and endurance during . Physiological monitoring in other species, such as northern bald ibises (Geronticus eremita), further supports that formation flying lowers overall metabolic costs, enabling flocks to cover greater distances with less fatigue. Behavioral mechanisms underpin the maintenance of these formations, relying on visual cues for precise positioning and acoustic signals for coordination. Birds adjust their flight paths by visually tracking the wing movements of the bird ahead to stay within the optimal upwash zone, often synchronizing wingbeats to maximize benefits. Communication via calls facilitates group cohesion, alerting flock members to changes in direction or speed, and supports social learning, as observed in hand-reared ibises that adopt V-formations through observation rather than innate instinct. Recent research from 2023 to 2025 has advanced understanding of the underlying , particularly through studies on wake vortex dynamics. Investigations into two-bird pairs reveal that trailing birds can achieve up to 30% energy savings by positioning in the upwash of the leader's vortices, with optimal spacing around 4 meters. In larger flocks, nonlinear benefits emerge, where increases disproportionately with group size due to cascading vortex interactions, potentially reducing by 65% or more in mid-flock positions. A 2024 narrative review synthesizes these findings, addressing key aerodynamic questions in migratory flights, such as vortex and , while highlighting gaps in data. Additionally, modeling of wake dynamics in Canadian geese underscores the role of undulating vortex structures in sustaining V-formations over extended periods.

Insect Swarms

Insect swarms represent a form of collective aerial behavior observed in various species, primarily serving reproductive or defensive purposes through dense, coordinated groupings. Male midges (family ) form conspicuous swarms, where thousands of individuals hover in cylindrical or spherical formations over landmarks like water bodies or , synchronizing their flight to produce harmonic sounds that attract females. These swarms are typically leaderless, with individuals maintaining position through local interactions rather than centralized control. Similarly, desert locusts (Schistocerca gregaria) aggregate into massive swarms, with historical records documenting up to 50 such groups invading regions like in 1954, each comprising billions of individuals that coordinate flight for and dispersal. In defensive contexts, Japanese honeybees () form compact "hot defensive bee balls" around invading hornets ( mandarinia), encasing the predator in a vibrating cluster of hundreds of workers that raise the internal to lethal levels (around 46°C) while surviving the heat themselves through evolved thermotolerance. Sensory coordination in these swarms relies on pheromones and visual cues to sustain formation without designated leaders, enabling emergent . In locust swarms, visual alignment plays a key role, as individuals adjust flight direction based on the motion of nearby conspecifics, promoting collective heading through simple local rules like velocity matching. Pheromones facilitate initial aggregation and orientation; for instance, aggregation pheromones in locusts trigger phase polyphenism from solitary to gregarious forms, enhancing swarm cohesion during flight. Midges integrate visual landmarks with acoustic signals from wingbeats, while bees in defensive balls use tactile and vibratory cues alongside pheromones like alarm signals to recruit additional workers rapidly. This decentralized sensory integration contrasts with more hierarchical flocks, where bird formations often feature spaced individuals following lead , whereas insect swarms emphasize compact, short-term clustering for immediate survival or reproduction. Aerodynamically, swarms exhibit -dependent interactions that influence , though benefits differ from those in groups due to closer spacing and smaller . Unlike V-formations, swarms provide negligible aerodynamic energy benefits due to high and small , focusing instead on behaviors for and . These interactions arise from overlapping vortex wakes generated by wings, leading to variations that with swarm volume; however, the primary aerodynamic advantage in appears tied to evasion rather than substantial . Recent studies from 2023-2024 have illuminated vortex dynamics in wakes, revealing limited savings but significant roles in evasion. on flapping-wing interactions shows that in dense groups creates unstable flow fields and self-amplifying waves, where trailing individuals encounter disrupted wakes that can increase power demands but enhance maneuverability for predator avoidance. These findings underscore how swarms optimize for defensive or reproductive immediacy rather than long-distance economy. Post-2020 research has drawn on insect swarm models to advance , emphasizing leaderless coordination for robust, scalable systems. Studies since 2021 highlight and dynamics as blueprints for decentralized algorithms, enabling robot collectives to self-organize via visual and virtual pheromone analogs for tasks like . A 2024 review notes that insect-inspired models have improved robotic swarm resilience to failures, with density-dependent rules mimicking wake interactions to maintain formation in dynamic environments.

Applications in Aviation

Military Formations

Military formations in aviation refer to coordinated arrangements of designed to enhance tactical effectiveness during operations. These formations allow pilots to maintain visual contact, share defensive responsibilities, and execute maneuvers as a cohesive unit, drawing from standardized procedures outlined in U.S. Air Force training manuals. Key terminologies include the , where aircraft are positioned in a stepped line to the side of the lead aircraft, providing clear fields of fire and visibility for offensive and defensive actions; the combat spread, a loose line-abreast arrangement that maximizes maneuverability while allowing mutual support against threats; and the trail formation, in which aircraft follow one another in a linear path, often used for ingress or when transitioning to individual engagements. These configurations are fundamental to NATO-standardized flight operations, with the basic unit being an element of two aircraft led by a flight leader. During , U.S. Army Air Forces employed the formation for heavy bombers like the B-17 Flying Fortress, arranging squadrons in tight, staggered boxes to create overlapping fields of fire from .50-caliber machine guns, thereby providing mutual protection against enemy fighters during daylight raids over . This tactic concentrated firepower and improved bombing accuracy by keeping formations intact over targets, though it exposed bombers to intense flak. In modern contexts, formations continue to emphasize tactical advantages, such as enhanced through shared visual cues and data, concentrated for overwhelming adversaries, and reduced individual vulnerability by distributing threats across the group. For instance, during NATO's Ramstein Flag 2024 exercise in , U.S. F-35A Lightning II aircraft flew in coordinated formations with allied fighters like the , demonstrating integrated air operations that improved collective defense and strike capabilities. Recent developments from 2023 to have focused on hybrid within formations, influenced by lessons from the conflict where drones proved decisive in swarm tactics and reconnaissance. For example, during the U.S. Marine Corps' participation in Emerald Flag 2024, the XQ-58A Valkyrie unmanned (CCA) integrated with F-35 fighters, forming mixed formations to extend sensor range and absorb risks in simulated contested environments. In U.S. Air Force exercises, manned fighters such as the F-15EX integrated with XQ-58A Valkyries, enabling a single manned aircraft to control multiple drones for strikes and suppression, enhancing overall formation resilience without increasing pilot exposure.

Civil and Aerobatic Formations

In , formation flying serves as a key component of programs, where pilots learn to maintain precise positioning relative to a lead to enhance and coordination skills. The (FAA) endorses formation training through accredited courses, such as the FAA Safety Team's five-day program that includes basic and advanced maneuvers, emphasizing responsibilities like anticipating lead directives and maintaining visual contact. Standard formations require wingmen to stay within 1 mile laterally or longitudinally and 100 feet vertically from the lead, aligning with (ICAO) standards of 0.5 nautical miles horizontally and 100 feet vertically to ensure safe operations. Beyond training, formation flying has been explored for in commercial operations, drawing from aerodynamic benefits like wake vortex riding. NASA's 2010 partnership with the U.S. Air Force demonstrated 7-8% fuel flow reductions in formation flights using automated systems on military platforms, paving the way for civilian applications. In 2024–2025, commercial tests advanced this concept, with conducting initial goose-inspired formations and partnering in 2025, achieving 5-10% fuel savings per trip for trailing , validated through in-flight trials with business jets. Aerobatic formations highlight precision and synchronization in civilian and display contexts, often featured at airshows to demonstrate prowess. The U.S. Navy's , established in 1946, perform high-speed passes, loops, and diamond formations with F/A-18 Super Hornets, maintaining separations as tight as 18 inches during routines to showcase teamwork. Civilian teams, such as the UK's Team Raven flying RV-8 aircraft or Sweden's TEAM 50 with Saab 91 Safirs, execute similar maneuvers like echelon turns and opposing passes at events, focusing on recreational without military armament. Safety protocols are paramount in these non-military settings, relying on pre-flight briefings, continuous radio communication, and strict minimum distances to prevent collisions. Pilots must disable transponders during close formations to avoid false alerts, while leads conduct maneuvers like lazy eights to allow wingmen to adjust positioning within 500-1,000 feet. The FAA treats formations as a single for , placing separation responsibility on the pilots, with emphasis on and emergency breakaway procedures. Recent trends from 2023 to 2025 reflect a resurgence in civilian formation activities, bolstered by post-pandemic airshow revivals that saw attendance and performer lineups exceed pre-2020 levels, as reported by the International Council of Air Shows. Innovations include integrations. Additionally, while manned formations remain central, civilian swarms have grown for assisted search-and-rescue operations, with studies showing autonomous groups covering disaster zones 30-50% faster than solo units, often coordinating with piloted aircraft for hybrid missions.

Unmanned Aerial Vehicle Formations

(UAV) formations enable multiple drones to operate collaboratively in autonomous configurations, leveraging for enhanced mission capabilities beyond individual UAV limitations. A key swarm concept is decentralized control, where algorithms distribute decision-making to maintain without a central . (PSO), inspired by natural flocking behaviors, optimizes UAV trajectories by simulating particle interactions that balance attraction to formation goals and repulsion from obstacles, achieving collision-free reconfiguration in environments with up to 12 UAVs tested in simulations. This approach contrasts with centralized methods by improving robustness to failures, as each UAV adjusts locally based on neighbor data. Applications of UAV formations span and , drawing loose inspiration from swarms for emergent coordination but relying on engineered for precision. In , DARPA's Offensive Swarm-Enabled Tactics () program demonstrated swarms of up to 250 small UAS in urban settings, enabling forces to execute complex tactics like perimeter scouting through human-swarm interfaces and virtual tactic testing. For convoys, swarm formations facilitate coordinated , where UAVs form adaptive chains to payloads over long distances, reducing energy consumption via optimized grouping as explored in frameworks. These applications highlight post-2020 shifts toward AI-driven , with real-world tests emphasizing in contested environments. Key challenges in UAV swarm formations include collision avoidance, communication latency, and scalability, particularly for operations involving 100+ UAVs. Collision avoidance requires integrated algorithms, such as potential fields or consensus protocols, to enforce safe inter-UAV distances while preserving formation integrity amid dynamic obstacles. Communication latency disrupts real-time synchronization in distributed systems, where delays exceeding 100 ms can cascade into positioning errors, necessitating low-bandwidth protocols like event-driven messaging. Scalability poses computational burdens, as coordination complexity grows nonlinearly with swarm size, demanding hybrid centralized-decentralized architectures to manage large-scale interactions without overwhelming onboard resources. Recent developments from 2024 to 2025 have advanced UAV swarm resilience and , addressing gaps in pre-2020 by integrating for adaptive operations. Adaptive s enable swarms to function in intermittent connectivity via dual-mode systems, switching between cellular publish-subscribe (MQLink) for high-mobility coordination and ad-hoc leader-follower broadcasts (UAVConnector) to sustain during network failures. Human-swarm has progressed with OODA-loop frameworks, incorporating principles like aggregated and adaptive control granularity to allow single operators to manage over 20 UAVs intuitively, as validated in user studies with usability scores around 73. In contexts, counter-swarm tactics emphasize phased responses—detection via multi-sensor , soft kills through , and hard destruction with directed energy—tested against swarms of 200+ UAVs. Formation control innovations focus on flexibility, using hierarchical commanders to dynamically reconfigure constellations (e.g., line to ) via altitude adjustments, demonstrated in real flights with six quadrotors. The US Air Force's 2024 drone-launched swarm tests under the Adaptive Airborne Enterprise program further exemplify these advances, deploying Group 2 UAS from MQ-9 motherships for autonomous relays in great power competition scenarios.

References

  1. [1]
    Formation Flights | SKYbrary Aviation Safety
    Formation flying was born as a means of mutual support and protection in times of aerial warfare. It was quickly discovered that multiple aircraft working ...Missing: history | Show results with:history
  2. [2]
    Section 3. Military Formation Flight
    A formation is defined as more than one aircraft that, by prior arrangement between the pilots, operates as a single aircraft with regard to navigation and ...
  3. [3]
    14 CFR § 91.111 - Operating near other aircraft. - Law.Cornell.Edu
    (a) No person may operate an aircraft so close to another aircraft as to create a collision hazard. (b) No person may operate an aircraft in formation flight.
  4. [4]
    An Introductory Guide to Formation Flying - Wings Over Camarillo
    Feb 8, 2021 · Like many advancements in aviation, the history of formation flying was propelled by war. It first developed during World War I, which began ...Missing: definition | Show results with:definition
  5. [5]
    The Art of Formation Flying - Hartzell Propeller
    Mar 23, 2018 · Formation flying has roots in military training, with pilots using formations during combat for mutual defense and protection, navigation, and concentration of ...Missing: definition | Show results with:definition
  6. [6]
    [PDF] Autonomous Formation Flight
    For millions of years, birds have taken advantage of the aerodynamic benefit of flying in formation. The traditional “V” formation flown by many species of.Missing: definition types
  7. [7]
    (PDF) Aerodynamics of Formation Flight - ResearchGate
    Aug 6, 2025 · Many bird species regularly fly in formation, which reduces energy costs by leveraging the upwash in the trailing flow field. Aviation ...
  8. [8]
    [PDF] ACC Heritage Maneuvers Package - Federal Aviation Administration
    May 24, 2017 · ... fingertip/Vic, echelon, and diamond formations. There are two variations that dictate the distance between the wingmen and lead: close and route ...Missing: loose, | Show results with:loose,
  9. [9]
    [PDF] Avian Flight Formations - Digital Commons @ USF
    Apr 1, 1974 · Birds in an echelon fly in single file, stag- gered stepwise from the bird in the lead position in the formation. Right and left echelons can be ...
  10. [10]
    [PDF] Optimal Formation Flight Control. - DTIC
    The loose formation represents formation flight configurations used in C-130 aircraft operations. ... The Navy used two separate controllers to fly formations of ...
  11. [11]
    [PDF] An Initial Flight Investigation of Formation Flight for Drag Reduction ...
    Many theoretical and experimental studies have shown that aircraft flying in formation could experience significant reductions in fuel use compared to solo ...
  12. [12]
    [PDF] Aerodynamic Performance of Extended Formation Flight - byu.net
    This paper attempts to quantify the aerodynamic benefits of flying in formation at these large separation distances.
  13. [13]
    Lifting Line Theory – Introduction to Aerospace Flight Vehicles
    Lifting line theory is another cornerstone of classical aerodynamics, explaining and predicting the aerodynamic behavior of finite wings at low speeds.Missing: augmentation | Show results with:augmentation
  14. [14]
    Aerodynamics Modeling and Analysis of Close Formation Flight
    Jul 17, 2017 · It is observed that more than 30% of the formation benefit will be lost if the optimal region cannot be tracked within 10% wingspan. Drag ...
  15. [15]
    [PDF] Aerodynamic Interactions in Formation Flight for Wake Vortex Surfing
    Jun 16, 2023 · Formation flight typically observed in migratory birds allows the trailing aircraft to benefit from surfing the updraft of the wingtip ...
  16. [16]
    Aerodynamic mechanisms behind energy efficiency in migratory bird ...
    Feb 20, 2025 · Compared to solitary flight, birds in formation can travel longer distances while conserving between 20% and 30% of their energy, with the exact ...
  17. [17]
    (PDF) Aristotle's Explanations of Bird Migration - ResearchGate
    Aug 22, 2024 · However, the first systematic study of birds began in the 4th-century BCE with Aristotle. A search for ornithological material in Aristotle's ...
  18. [18]
    Migratory Birds Project - Chugach Regional Resources Commission
    Migratory birds are an important part of Chugach Native oral history. Present. Alaska Natives use birds and eggs mostly as human food and cultural resources.
  19. [19]
    Bridging Cree knowledge and Western science to understand the ...
    May 3, 2024 · Cree knowledge provides precise insights about goose feeding behavior, migration patterns, and abundance at the local scale (Fig. 2). Cree ...
  20. [20]
    On the Origin of the Flocking Habit of Migratory Birds - Wikisource
    Sep 29, 2018 · In the first place, the large flock automatically, by its numbers, maintains the proper direction of migration; secondly, and just as ...
  21. [21]
    Why Do Birds Fly In V-Formation? - Bird Spot
    In 1914, Carl Wieselsberger, a German engineer and passionate pilot, was the first to suggest that birds flying in a V-formation expend less energy. He ...
  22. [22]
    [PDF] Aeronautics of Bird Flight - Digital Commons @ USF
    We are now in the dawn of the aerial age and as we are air-minded and our curiosity is kindled to learn the art of flying, perhaps by observing the birds, ...
  23. [23]
    Birds That Fly in a V Formation Use An Amazing Trick
    Jan 15, 2014 · It can save energy by mooching off the air flow created by its flock-mate. This all makes sense, but it represents decades of largely ...
  24. [24]
    Geese Flying Formation: Who leads the V formation and why?
    Mar 27, 2025 · Geese take turns leading their V formation, sharing the load. The lead position provides aerodynamic lift, and the leader changes regularly.
  25. [25]
    Birds flying in a V formation - Ingenia
    The 2014 study showed that birds' heart rates decreased when they were flying together in a V formation, demonstrating that the formation saves energy. Many air ...
  26. [26]
    Aerodynamics of Flight Formations in Birds: A Quest for Energy ...
    This study explores the wake vortex dynamics of two flying birds and their influence on aerodynamic forces, based on their relative positions in a group.
  27. [27]
    Energy saving in flight formation - PubMed
    We have measured heart rates as an estimate of energy expenditure in imprinted great white pelicans (Pelecanus onocrotalus) trained to fly in 'V' formation, ...Missing: telemetry | Show results with:telemetry
  28. [28]
    Matching times of leading and following suggest cooperation ...
    Feb 2, 2015 · The first study to provide empirical evidence that energetic savings can be garnered from V-formation flight was done by Weimerskirch et al. (15) ...
  29. [29]
    Vision and vocal communication guide three-dimensional spatial ...
    Jun 30, 2022 · We found that the finches can use both visual and acoustic cues for three-dimensional flock coordination. When visual information is ...
  30. [30]
    The Aerodynamic Mechanisms of the Formation Flight of Migratory ...
    Completing the aerodynamic theory of V-flight, Badgerow and Hainsworth [11] estimated that V-flying birds could save 51% energy compared with flying alone, ...
  31. [31]
    Sounding out swarms - Physics World
    Feb 1, 2018 · We know the swarms are composed entirely of male midges, which have long antennae and beat their wings at nearly twice the frequency of the females.
  32. [32]
    Which Insect Makes the Biggest Swarm? - ThoughtCo
    Jan 14, 2020 · The record for the biggest swarm goes to the desert locust, Schistocerca gregaria. In 1954, a series of 50 swarms of desert locusts invaded Kenya.
  33. [33]
    Honeybees gang up to roast invading hornets alive — at a terrible cost
    Jul 16, 2018 · A few hundred workers can swarm into balls around hornets and roast them alive with their body heat. The formation of such “hot defensive bee ...
  34. [34]
    Insect Swarms, Chaos, and Phase Transitions - SIAM.org
    Jan 3, 2025 · Swarms orient themselves in the direction of a light breeze while hovering over specific darker spots on the ground (wet areas, cow dung, ...Missing: leaderless | Show results with:leaderless
  35. [35]
    Understanding the thermodynamic properties of insect swarms - PMC
    Jul 22, 2021 · (a) Vertical density profiles of laboratory swarms ... In these models, the strength of the interactions between individuals is density dependent.Missing: aerodynamics drag
  36. [36]
    The unsteady aerodynamics of insect wings with rotational stroke ...
    Feb 7, 2022 · We developed and calibrated a novel unsteady aerodynamic force model for insect wings with stroke accelerations.
  37. [37]
    Flow interactions lead to self-organized flight formations disrupted ...
    Apr 24, 2024 · The first two elements seem to be generically present for locomotion at sufficiently high for which vortex wakes are produced, and future ...
  38. [38]
    Collective behavior of self-steering active particles with velocity ...
    Jan 29, 2024 · We study this emergent collective behavior via agent-based simulations in a model of active Brownian particles with visual-perception-based steering and ...
  39. [39]
    Computer scientist studies insect swarms to guide robot design
    Oct 15, 2021 · How can studying swarming insects help improve robotics? In swarm robotics, the idea is to have many small, cheaply made, and hence dispensable ...
  40. [40]
    Automatic design of stigmergy-based behaviours for robot swarms
    Feb 14, 2024 · The pheromones enable coordination, as the individuals can work together and self-organise without the need to communicate directly or receive ...
  41. [41]
    [PDF] aetcman11-248.pdf - Air Force
    Aug 13, 2025 · Common terminology and concepts applicable to formation flight are used throughout the Air Force. The following are fundamental concepts ...
  42. [42]
    [PDF] STANAG 7001 Formation Flying - IVAO
    The basic combat formation is a four ship flight. A flight consits of one or more elements. Element - The basic fighting unit wihtin a flight. Consits of two ...
  43. [43]
    "Combat Box": Bomber Formations - Air Force Museum
    Formations were designed to protect heavy bombers against fighter attack and to concentrate the bomb pattern on the target.Missing: mutual | Show results with:mutual
  44. [44]
    This Is What It Took To Defend A B-17 Bomber - The War Zone
    Jan 31, 2024 · The combat box was therefore soon developed to provide mutual protection, with interlocking arcs of fire provided by bombers flying in formation ...
  45. [45]
    U.S. F-35s join NATO Allies in Ramstein Flag for cutting-edge air ...
    Jul 10, 2024 · A US Air Force F-35A Lightning II, left, participating in NATO exercise Ramstein Flag 24, flies in formation with an Italian Air Force Eurofighter Typhoon.
  46. [46]
    U.S. Air Forces Africa completes Ramstein Flag 2024
    Oct 15, 2024 · Allied fighter jets participating in NATO exercise Ramstein Flag 24 fly in formation over the west coast of Greece, Oct. 4, 2024. Over 130 ...
  47. [47]
    How Ukraine's Drone War Is Forcing the U.S. Army to Rewrite Its ...
    Oct 19, 2025 · The Army is overhauling how it fights in combat based on lessons from Russia's invasion of Ukraine, where drones have become the dominant ...Missing: 2023-2025 | Show results with:2023-2025
  48. [48]
    Air Force advances human-machine teaming with autonomous ...
    Jul 8, 2025 · The US Air Force recently demonstrated a major leap in human-machine teaming, flying autonomous collaborative platforms, alongside crewed fighter aircraft.Missing: hybrid formations 2024
  49. [49]
    XQ-58A Valkyrie demonstrates advanced capabilities during ...
    Nov 29, 2024 · The U.S. Marine Corps' XQ-58A Valkyrie has achieved another milestone in unmanned tactical aviation, showcasing advanced data link integration ...
  50. [50]
    Accredited Activity Information - FAA - FAASTeam - FAASafety.gov
    This 5-Day 10-Mission customized course of training is broken down into two phases; Basic Formation Training and Advanced / Customized Formation Training.
  51. [51]
    Formation Flying - Maneuvers & Procedures - CFI Notebook
    Unless specifically ordered, a single aircraft shall not join a formation in the air · When about to join a formation, the pilot of a single aircraft or leader ...
  52. [52]
    [PDF] Wake-Surfing: - NASA Technical Reports Server (NTRS)
    Military Formation Flight systems already exist! NASA partnered with USAF/AFTC in 2010 to explore drag reduction. 7-8% fuel flow reduction (partially automated).
  53. [53]
    Delta Air Lines tests fuel-saving formation inspired by migrating geese
    Jan 7, 2025 · Delta, Airbus and partners say biomimicry flight formation can lead to 5 percent fuel savings.
  54. [54]
    Geese-inspired flying formation to help Delta, Airbus planes save fuel
    Feb 10, 2025 · The technique allows trailing jets to fly within the lead jet's wake vortex, resulting in fuel savings of 5-10% per trip, a finding corroborated ...
  55. [55]
    U.S. Navy Blue Angels
    The mission of the Blue Angels is to showcase the teamwork and professionalism of the United States Navy and Marine Corps through flight demonstrations and ...History · Show Info · Team · Team | officers
  56. [56]
    Team Raven - Formation Aerobatic Display Team
    Team Raven is a formation aerobatic display team flying self-build RV8 aircraft, painting shapes across the skies in their wake.
  57. [57]
    Formation Flying And Aerobatics - - Flygfesten 2022 Friday - YouTube
    May 6, 2023 · ... TEAM 50 is a Swedish civil air show team formed in 2012. Plane: Saab 91 Safir Pilot: Nicklas Eriksson –Tord Grönvik – Curt Cronerud – Alf ...
  58. [58]
    [PDF] N JO 7110.747 - NOTICE
    Mar 28, 2018 · Control formation flights as a single aircraft. Separation responsibility between aircraft within the formation rests with the flight leader and ...
  59. [59]
    International Council of Air Shows
    2024 ICAS Convention Exceeds Expectations · 2023 Convention Exceeds All Expectations · 2022 Convention Foreshadows Return To Normal · 2022 ICAS Convention Update.
  60. [60]
    Airshow 2025 | AERO Friedrichshafen
    The airshow is on April 12, 2025, from 11:45 a.m. to 1:45 p.m. The e-flight airshow is on April 10, 2025, from 12:30 to 1:15 p.m.
  61. [61]
    [PDF] Harnessing Drone Swarms for Enhanced Search and Rescue ...
    Aug 26, 2025 · The primary objective of this study is to evaluate the operational effectiveness of autonomous drone swarms in disaster-oriented SAR missions.
  62. [62]
    [PDF] Swarm Intelligence in Collision-free Formation Control for Multi-UAV ...
    Recent advances in the multi-UAV control systems show that stand-alone path planning methods and their combinations with methods like particle swarm ...
  63. [63]
    Hybrid swarm intelligent algorithm for multi-UAV formation ...
    Oct 27, 2022 · In this paper, the problem of multi-UAV reconfiguration is decoupled into two stages: task assignment and control input optimization of UAVs.
  64. [64]
    OFFSET: OFFensive Swarm-Enabled Tactics - DARPA
    DARPA's OFFensive Swarm-Enabled Tactics (OFFSET) program envisions future small-unit infantry forces using swarms comprising upwards of 250 small unmanned ...
  65. [65]
    1 Introduction - arXiv
    Aug 25, 2025 · The practical applications of swarm UAV are almost all LH tasks, such as logistics distribution Betti Sorbelli (2024) , patrol security Yuan et ...
  66. [66]
    Advancement Challenges in UAV Swarm Formation Control - MDPI
    However, operating a single UAV has several limitations, such as limited area coverage, reduced reliability, and scalability challenges. The UAV swarm brings ...
  67. [67]
  68. [68]
    UAV swarms: research, challenges, and future directions
    Jan 28, 2025 · This paper provides a comprehensive exploration of UAV swarm infrastructure, recent research advancements, and diverse applications.
  69. [69]
    (PDF) Development of Adaptive Drone Swarm Networks
    Sep 24, 2025 · Development of Adaptive Drone Swarm Networks. January 2025; IEEE ... UAV swarms vulnerable in. environments with intermittent or partial network.
  70. [70]
    Towards Human-Centered Interaction with UAV Swarms
    Sep 4, 2025 · The proposed framework uses the OODA model to guide human-swarm interaction, with six design principles, and a prototype system enabling ...
  71. [71]
    [PDF] PRC Concepts for UAV Swarms in Future Warfare | CNA Corporation
    Jul 1, 2025 · PRC writings categorize counter–drone swarm warfare into four functions—detection, soft kill, hard destruction, and camouflage—and describe the ...
  72. [72]
    Changing the Formations of Unmanned Aerial Vehicles - MDPI
    Nov 13, 2024 · This paper aims to present a method of formation control for multiple UAVs that allows dynamic changes in the constellations of UAVs.
  73. [73]
    Air Force Special Operators Developing Drone-Launched Swarms
    May 3, 2024 · Air Force Special Operations Command is taking advantage of “significant advancements” in autonomous aircraft technology to have their drones do a lot more.