PX4 User Guide
  • Introduction
  • Getting Started
    • Basic Concepts
    • Vehicles/Frames
    • Flight Controllers
    • Sensors
    • Radio Systems
    • Flight Modes
    • Vehicle Status Notifications
      • LED Meanings
      • Tune/Sound Meanings
      • Preflight Checks
    • Payloads & Cameras
    • Flight Reporting
  • Basic Assembly
    • Mounting the Flight Controller
    • Mounting the GPS/Compass
    • Vibration Isolation
    • Cable Wiring
    • CUAV Pixhawk V6X Wiring QuickStart
    • CUAV V5+ Wiring Quickstart
    • CUAV V5 nano Wiring Quickstart
    • Holybro Pixhawk 6C Wiring Quickstart
    • Holybro Pixhawk 6X Wiring Quickstart
    • Holybro Pixhawk 5X Wiring Quickstart
    • Holybro Pixhawk 4 Wiring Quickstart - Discontinued
    • Holybro Pixhawk 4 Mini Wiring Quickstart - Discontinued
    • Holybro Durandal Wiring Quickstart
    • Holybro Pix32 v5 Wiring Quickstart
    • Cube Wiring Quickstart
    • Pixracer Wiring Quickstart
    • mRo (3DR) Pixhawk Wiring Quickstart
  • Standard Configuration
    • Firmware
    • Airframe
    • Sensor Orientation
    • Compass
    • Gyroscope
    • Accelerometer
    • Airspeed
    • Level Horizon Calibration
    • Radio Setup
    • Joystick Setup
    • Flight Modes
    • Battery
    • Safety
      • Failsafe Simulation
    • ESC Calibration
    • Actuators
    • Autotune
  • Vehicle Types & Setup
    • Multicopters
      • Multicopter Config/Tuning
        • MC Filter/Control Latency Tuning
        • MC PID Tuning (Manual/Basic)
        • MC PID Tuning Guide (Manual/Advanced)
        • MC Setpoint Tuning (Trajectory Generator)
          • MC Jerk-limited Type Trajectory
        • Multicopter Racer Setup
      • X500 v2 (Pixhawk 6C)
      • X500 v2 (Pixhawk 5X)
      • X500 (Pixhawk 4)
      • S500 V2 (Pixhawk 4)
      • DJI F450 (CUAV v5+)
      • DJI F450 (CUAV v5 nano)
      • QAV250 (Pixhawk4 Mini) - Discontinued
      • DJI F450 + RTK (Pixhawk 3 Pro)
      • QAV250 (Pixhawk Mini)
      • QAV-R 5" Racer (Pixracer)
      • Omnicopter
    • Planes
      • Fixed Wing Config/Tuning
        • Fixedwing PID Tuning Guide
        • Fixedwing Advanced Tuning Guide
        • Fixedwing Trimming Guide
      • Reptile Dragon 2 (ARK6X)
      • Turbo Timber Evolution (Pixhawk 4 Mini)
      • Wing Wing Z84 (Pixracer)
    • VTOL
      • VTOL Config/Tuning
        • QuadPlane Configuration
        • Back-transition Tuning
        • VTOL w/o Airspeed Sensor
        • VTOL Weather Vane
      • Standard VTOL
        • FunCub QuadPlane (Pixhawk)
        • Ranger QuadPlane (Pixhawk)
        • Falcon Vertigo QuadPlane (Dropix)
      • Tailsitter VTOL
        • Build: TBS Caipiroshka Tailsitter Build (Pixracer)
      • Tiltrotor VTOL
        • Build: Convergence Tiltrotor (Pixfalcon)
    • Airships (experimental)
    • Autogyros (experimental)
      • ThunderFly Auto-G2 (Holybro pix32)
    • Balloons (experimental)
    • Helicopter (experimental)
      • Helicopter Config/Tuning
    • Rovers (experimental)
      • Traxxas Stampede
    • Submarines (experimental)
      • BlueROV2
    • Airframes Reference
  • Flying
    • First Flight Guidelines
    • Flying 101
    • Missions
      • Package Delivery Mission
    • GeoFence
    • Safety Point Planning
    • Flight Modes
      • Position Mode (MC)
      • Altitude Mode (MC)
      • Manual/Stabilized Mode (MC)
      • Acro Mode (MC)
      • Orbit Mode (MC)
      • Position Mode (FW)
      • Altitude Mode (FW)
      • Stabilized Mode (FW)
      • Acro Mode (FW)
      • Manual Mode (FW)
      • Takeoff Mode
      • Land Mode
      • Return Mode
      • Hold Mode
      • Mission Mode
      • Follow Me Mode
      • Offboard Mode
    • Terrain Following/Holding
  • Flight Log Analysis
    • Log Analysis using Flight Review
    • Log Analysis using PlotJuggler
  • Advanced Configuration
    • Finding/Updating Parameters
    • Full Parameter Reference
    • ECL/EKF Overview & Tuning
    • Flight Termination Configuration
    • Bootloader Flashing onto Betaflight Systems
    • Land Detector Configuration
    • Prearm/Arm/Disarm Configuration
    • IMU Factory Calibration
    • Sensor Thermal Compensation
    • Compass Power Compensation
    • Advanced Controller Orientation
    • Static Pressure Buildup
    • Serial Port Configuration
    • MAVLink Telemetry (OSD/GCS)
    • PX4 Ethernet Setup
    • Bootloader Update
  • Hardware (Drones&Parts)
    • Complete Vehicles
      • ModalAI Starling
      • PX4 Vision Kit
      • MindRacer BNF & RTF
        • MindRacer 210
        • NanoMind 110
      • Holybro Kopis 2
      • Bitcraze Crazyflie 2.1
    • Flight Controllers (Autopilots)
      • Pixhawk Series
        • Silicon Errata
      • Pixhawk Standard Autopilots
        • CUAV Pixhawk V6X (FMUv6X)
        • Holybro Pixhawk 6X (FMUv6X)
        • Holybro Pixhawk 6C (FMUv6C)
        • Holybro Pixhawk 6C Mini(FMUv6C)
        • Holybro Pix32 v6 (FMUv6C)
        • Holybro Pixhawk 5X (FMUv5X)
        • Holybro Pixhawk 4 (FMUv5) - Discontinued
        • Holybro Pixhawk 4 Mini (FMUv5) - Discontinued
        • Drotek Pixhawk 3 Pro (FMUv4pro)
        • mRo Pixracer (FMUv4)
        • Hex Cube Black (FMUv3)
        • mRo Pixhawk (FMUv3)
        • Holybro Pixhawk Mini (FMUv3) - Discontinued
      • Manufacturer-Supported Autopilots
        • AirMind MindPX
        • AirMind MindRacer
        • ARK Electronics ARKV6X
        • CUAV X7
        • CUAV Nora
        • CUAV V5+ (FMUv5)
        • CUAV V5 nano (FMUv5)
        • CUAV Pixhack v3 (FMUv3)
        • CubePilot Cube Orange+ (CubePilot)
        • CubePilot Cube Orange (CubePilot)
        • CubePilot Cube Yellow (CubePilot)
        • Holybro Kakute H7v2
        • Holybro Kakute H7mini
        • Holybro Kakute H7
        • Holybro Durandal
        • Holybro Pix32 v5
        • ModalAI Flight Core v1
        • ModalAI VOXL Flight
        • ModalAI VOXL 2
        • mRobotics-X2.1 (FMUv2)
        • mRo Control Zero F7)
        • NXP RDDRONE-FMUK66 FMU
        • Sky-Drones AIRLink
        • SPRacing SPRacingH7EXTREME
        • ThePeach FCC-K1
        • ThePeach FCC-R1
      • Experimental Autopilots
        • BeagleBone Blue
        • Raspberry Pi 2/3 Navio2
        • Raspberry Pi 2/3/4 PilotPi
          • PilotPi with Raspberry Pi OS
          • PilotPi with Ubuntu Server
      • Discontinued Autopilots/Vehicles
        • Drotek Dropix (FMUv2)
        • Omnibus F4 SD
        • BetaFPV Beta75X 2S Brushless Whoop
        • Bitcraze Crazyflie 2.0
        • Aerotenna OcPoC-Zynq Mini
        • CUAV v5
        • Holybro Kakute F7 (Discontinued)
        • Holybro Pixfalcon
        • Holybro pix32 (FMUv2)
        • mRo AUAV-X2
        • 3DR Pixhawk 1
        • Snapdragon Flight
        • Intel® Aero RTF Drone (Discontinued)
      • Pixhawk Autopilot Bus (PAB) & Carriers
        • ARK Electronics Pixhawk Autopilot Bus Carrier
    • Flight Controller Peripherals
      • ADSB/FLARM (Traffic Avoidance)
      • Air Traffic Avoidance: ADSB/FLARM
      • Air Traffic Avoidance: UTM
      • Airspeed Sensors
        • TFSlot Airspeed Sensor
      • Barometers
      • Camera
      • Distance Sensors (Rangefinders)
        • Lightware SFxx Lidar
        • Ainstein US-D1 Standard Radar Altimeter
        • LeddarOne Lidar
        • Benewake TFmini Lidar
        • Lidar-Lite
        • TeraRanger
        • Lanbao PSK-CM8JL65-CC5
        • Avionics Anonymous Laser Altimeter UAVCAN Interface
      • ESCs & Motors
        • PWM ESCs and Servos
        • DShot ESCs
        • OneShot ESCs and Servos
        • DroneCAN ESCs
          • Zubax Telega
          • PX4 Sapog ESC Firmware
            • Holybro Kotleta
            • Zubax Orel
        • VESC
      • TBS Crossfire (CRSF) Telemetry
      • FrSky Telemetry
      • Gimbal (Mount) Configuration
      • GPS/Compass
        • ARK GPS
        • Holybro DroneCAN M8N GPS
        • LOCOSYS Hawk A1 GNSS
        • Hex Here2
        • Holybro M8N & M9N GPS
        • Sky-Drones SmartAP GPS
      • Grippers
        • Servo Gripper
      • Optical Flow
        • ARK Flow
        • PMW3901
        • PX4FLOW (Deprecated)
      • Precision Landing
      • Parachute
      • Power Modules/PDB
        • CUAV HV pm
        • CUAV CAN PMU
        • Holybro PM02
        • Holybro PM07
        • Holybro PM06 V2
        • Holybro PM02D (digital)
        • Holybro PM03D (digital)
        • Pomegranate Systems Power Module
        • Sky-Drones SmartAP PDB
      • Satellite Coms (Iridium/RockBlock)
      • Telemetry Radios
        • SiK Radio
          • RFD900 (SiK) Telemetry Radio
          • HolyBro (SIK) Telemetry Radio
        • Telemetry Wifi
          • ESP8266 WiFi Module
          • ESP32 WiFi Module
          • 3DR Telemetry Wifi (Discontinued)
        • Microhard Serial Telemetry Radio
          • ARK Electron Microhard Serial Telemetry Radio
          • Holybro Microhard P900 Telemetry Radio
        • CUAV P8 Telemetry Radio
        • HolyBro XBP9X - Discontinued
      • RTK GPS
        • ARK RTK GPS
        • RTK GPS Heading with Dual u-blox F9P
        • CUAV C-RTK
        • CUAV C-RTK2 PPK/RTK GNSS
        • CUAV C-RTK 9Ps
        • Femtones MINI2 Receiver
        • Freefly RTK GPS
        • Holybro H-RTK-F9P
        • Holybro H-RTK-M8P
        • Holybro H-RTK Unicore UM982 GPS
        • Locosys Hawk R1
        • Locosys Hawk R2
        • Septentrio AsteRx-RIB
        • Septentrio mosaic-go
        • Trimble MB-Two
        • CubePilot Here+ (Discontined)
      • Remote ID
      • Smart Batteries
        • Rotoye Batmon Battery Smartification Kit
      • Tachometers (Revolution Counters)
        • ThunderFly TFRPM01 Tachometer Sensor
      • I2C Peripherals
        • I2C bus accelerators
        • TFI2CADT01 I2C address translator
      • CAN Peripherals
      • DroneCAN Peripherals
        • PX4 DroneCAN Firmware
        • ARK CANnode
    • Companion Computers
      • Pixhawk + Companion Setup
        • RasPi Pixhawk Companion
      • Companion Computer Peripherals
      • Holybro Pixhawk RPI CM4 Baseboard
      • Auterion Skynode
      • Computer Vision
        • Obstacle Avoidance
        • Safe Landing
        • Collision Prevention
        • Path Planning Interface
        • Motion Capture (MoCap)
        • Visual Inertial Odometry (VIO)
          • Realsense T265 Tracking Camera (VIO)
      • Video Streaming
  • Development
    • Getting Started
      • Recommended Hardware/Setup
      • Toolchain Installation
        • MacOS Setup
        • Ubuntu Setup
        • Windows Setup
        • Visual Studio Code IDE
        • Other/Generic Tools
      • Building the Code
      • Writing your First Application
      • Application/Module Template
    • Concepts
      • PX4 Architecture
      • PX4 Flight Stack Architecture
        • Controller Diagrams
      • Events Interface
      • Flight Modes
      • Flight Tasks
      • Control Allocation
      • PWM limit state machine
      • System Startup
      • SD Card Layout
    • Simulation
      • jMAVSim Simulation
        • Multi-Vehicle Sim with JMAVSim
      • Gazebo Simulation
        • Vehicles
        • Multi-Vehicle Sim
      • Gazebo Classic Simulation
        • Vehicles
        • Worlds
        • Multi-Vehicle Sim
      • FlightGear Simulation
        • FlightGear Vehicles
        • Multi-Vehicle Sim with FlightGear
      • JSBSim Simulation
      • AirSim Simulation
      • Multi-Vehicle Simulation
      • Simulate Failsafes
      • HITL Simulation
      • Simulation-In-Hardware
    • Hardware
      • Flight Controller Reference Design
      • Manufacturer’s Board Support Guide
      • Flight Controller Porting Guide
        • PX4 Board Configuration (kconfig)
        • NuttX Board Porting Guide
      • Serial Port Mapping
      • Airframes
        • Adding a New Airframe
      • Device Drivers
      • Telemetry Radio
        • SiK Radio
      • Sensor and Actuator I/O
        • DroneCAN
        • I2C Bus
        • UART/Serial Ports
          • Port-Configurable Serial Drivers
      • RTK GPS (Integration)
    • Middleware
      • uORB Messaging
      • uORB Graph
      • uORB Message Reference
        • ActionRequest
        • ActuatorArmed
        • ActuatorControlsStatus
        • ActuatorMotors
        • ActuatorOutputs
        • ActuatorServos
        • ActuatorServosTrim
        • ActuatorTest
        • AdcReport
        • Airspeed
        • AirspeedValidated
        • AirspeedWind
        • AutotuneAttitudeControlStatus
        • BatteryStatus
        • ButtonEvent
        • CameraCapture
        • CameraStatus
        • CameraTrigger
        • CellularStatus
        • CollisionConstraints
        • CollisionReport
        • ControlAllocatorStatus
        • Cpuload
        • DebugArray
        • DebugKeyValue
        • DebugValue
        • DebugVect
        • DifferentialPressure
        • DistanceSensor
        • Ekf2Timestamps
        • EscReport
        • EscStatus
        • EstimatorAidSource1d
        • EstimatorAidSource2d
        • EstimatorAidSource3d
        • EstimatorBias
        • EstimatorBias3d
        • EstimatorEventFlags
        • EstimatorGpsStatus
        • EstimatorInnovations
        • EstimatorSelectorStatus
        • EstimatorSensorBias
        • EstimatorStates
        • EstimatorStatus
        • EstimatorStatusFlags
        • Event
        • FailsafeFlags
        • FailureDetectorStatus
        • FollowTarget
        • FollowTargetEstimator
        • FollowTargetStatus
        • GeneratorStatus
        • GeofenceResult
        • GimbalControls
        • GimbalDeviceAttitudeStatus
        • GimbalDeviceInformation
        • GimbalDeviceSetAttitude
        • GimbalManagerInformation
        • GimbalManagerSetAttitude
        • GimbalManagerSetManualControl
        • GimbalManagerStatus
        • GpioConfig
        • GpioIn
        • GpioOut
        • GpioRequest
        • GpsDump
        • GpsInjectData
        • Gripper
        • HealthReport
        • HeaterStatus
        • HomePosition
        • HoverThrustEstimate
        • InputRc
        • InternalCombustionEngineStatus
        • IridiumsbdStatus
        • IrlockReport
        • LandingGear
        • LandingGearWheel
        • LandingTargetInnovations
        • LandingTargetPose
        • LaunchDetectionStatus
        • LedControl
        • LogMessage
        • LoggerStatus
        • MagWorkerData
        • MagnetometerBiasEstimate
        • ManualControlSetpoint
        • ManualControlSwitches
        • MavlinkLog
        • MavlinkTunnel
        • Mission
        • MissionResult
        • ModeCompleted
        • MountOrientation
        • NavigatorMissionItem
        • NormalizedUnsignedSetpoint
        • NpfgStatus
        • ObstacleDistance
        • OffboardControlMode
        • OnboardComputerStatus
        • OrbTest
        • OrbTestLarge
        • OrbTestMedium
        • OrbitStatus
        • ParameterUpdate
        • Ping
        • PositionControllerLandingStatus
        • PositionControllerStatus
        • PositionSetpoint
        • PositionSetpointTriplet
        • PowerButtonState
        • PowerMonitor
        • PpsCapture
        • PwmInput
        • Px4ioStatus
        • QshellReq
        • QshellRetval
        • RadioStatus
        • RateCtrlStatus
        • RcChannels
        • RcParameterMap
        • Rpm
        • RtlTimeEstimate
        • SatelliteInfo
        • SensorAccel
        • SensorAccelFifo
        • SensorBaro
        • SensorCombined
        • SensorCorrection
        • SensorGnssRelative
        • SensorGps
        • SensorGyro
        • SensorGyroFft
        • SensorGyroFifo
        • SensorHygrometer
        • SensorMag
        • SensorOpticalFlow
        • SensorPreflightMag
        • SensorUwb
        • SensorSelection
        • SensorsStatus
        • SensorsStatusImu
        • SystemPower
        • TakeoffStatus
        • TaskStackInfo
        • TecsStatus
        • TelemetryStatus
        • TiltrotorExtraControls
        • TimesyncStatus
        • TrajectoryBezier
        • TrajectorySetpoint
        • TrajectoryWaypoint
        • TransponderReport
        • TuneControl
        • UavcanParameterRequest
        • UavcanParameterValue
        • UlogStream
        • UlogStreamAck
        • UwbDistance
        • UwbGrid
        • VehicleAcceleration
        • VehicleAirData
        • VehicleAngularAccelerationSetpoint
        • VehicleAngularVelocity
        • VehicleAttitude
        • VehicleAttitudeSetpoint
        • VehicleCommand
        • VehicleCommandAck
        • VehicleConstraints
        • VehicleControlMode
        • VehicleGlobalPosition
        • VehicleImu
        • VehicleImuStatus
        • VehicleLandDetected
        • VehicleLocalPosition
        • VehicleLocalPositionSetpoint
        • VehicleMagnetometer
        • VehicleOdometry
        • VehicleOpticalFlow
        • VehicleOpticalFlowVel
        • VehicleRatesSetpoint
        • VehicleRoi
        • VehicleStatus
        • VehicleThrustSetpoint
        • VehicleTorqueSetpoint
        • VehicleTrajectoryBezier
        • VehicleTrajectoryWaypoint
        • VtolVehicleStatus
        • Wind
        • YawEstimatorStatus
      • MAVLink Messaging
      • uXRCE-DDS (PX4-ROS 2/DDS Bridge)
    • Modules & Commands
      • Autotune
      • Commands
      • Communication
      • Controllers
      • Drivers
        • Airspeed Sensor
        • Baro
        • Distance Sensor
        • IMU
        • INS
        • Magnetometer
        • Optical Flow
        • Rpm Sensor
        • Transponder
      • Estimators
      • Simulations
      • System
      • Template
    • Debugging/Logging
      • FAQ
      • Consoles/Shells
        • MAVLink Shell
        • System Console
      • Debugging with GDB
        • SWD Debug Port
        • JLink Probe
        • Black Magic/DroneCode Probe
        • STLink Probe
        • Hardfault Debugging
      • Debugging with Eclipse
      • Failure Injection
      • Sensor/Topic Debugging
      • Simulation Debugging
      • Sending Debug Values
      • System-wide Replay
      • Profiling
      • Binary Size Profiling
      • Logging
      • Flight Log Analysis
      • ULog File Format
    • Tutorials
      • Long-distance Video Streaming
      • Connecting an RC Receiver on Linux
    • Advanced Topics
      • Parameters & Configs
      • Package Delivery Architecture
      • Computer Vision
        • Motion Capture (VICON, Optitrack, NOKOV)
      • Installing driver for Intel RealSense R200
      • Switching State Estimators
      • Out-of-Tree Modules
      • STM32 Bootloader
      • System Tunes
      • Advanced Linux Installation Cases
      • Windows Cygwin Toolchain Maintenance
      • Unsupported Developer Setup
        • CentOS Linux
        • Arch Linux
        • Windows VM Toolchain
        • Windows Cygwin Toolchain
        • Qt Creator IDE
    • Platform Testing and CI
      • Test Flights
        • Test MC_01 - Manual Modes
        • Test MC_02 - Full Autonomous
        • Test MC_03 - Auto Manual Mix
        • Test MC_04 - Failsafe Testing
        • Test MC_05 - Indoor Flight (Manual Modes)
      • Unit Tests
      • Continuous Integration
      • MAVSDK Integration Testing
      • ROS Integration Testing
      • Docker Containers
      • Maintenance
  • Drone Apps & APIs
    • Offboard Control from Linux
    • ROS
      • ROS 2
        • ROS 2 User Guide
        • ROS 2 Offboard Control Example
        • ROS 2 Multi Vehicle Simulation
      • ROS 1 with MAVROS
        • ROS/MAVROS Installation Guide
        • ROS/MAVROS Offboard Example (C++)
        • ROS/MAVROS Offboard Example (Python)
        • ROS/MAVROS Sending Custom Messages
        • ROS/MAVROS with Gazebo Classic Simulation
        • Gazebo Classic OctoMap Models with ROS 1
        • ROS/MAVROS Installation on RPi
        • External Position Estimation (Vision/Motion based)
    • DroneKit
  • Contribution (&Dev Call)
    • Dev Call
    • Support
    • Source Code Management
      • GIT Examples
    • Documentation
    • Translation
    • Terminology/Notation
    • Licenses
  • Releases
    • 1.14
    • 1.13
    • 1.12
Powered by GitBook
On this page
  • Notation
  • Acronyms
  • Symbols
  • Subscripts / Indices
  • Superscripts / Indices
  • Decorators
  1. Contribution (&Dev Call)

Terminology/Notation

PreviousTranslationNextLicenses

Last updated 1 year ago

The following terms, symbols, and decorators are used in text and diagrams throughout this guide.

Notation

  • Bold face variables indicate vectors or matrices and non-bold face variables represent scalars.

  • The default frame for each variable is the local frame: $\ell{}$. Right represent the coordinate frame. If no right superscript is present, then the default frame $\ell{}$ is assumed. An exception is given by Rotation Matrices, where the lower right subscripts indicates the current frame and the right superscripts the target frame.

  • Variables and subscripts can share the same letter, but they always have different meaning.

Acronyms

Acronym
Expansion

AOA

Angle Of Attack. Also named alpha.

AOS

Angle Of Sideslip. Also named beta.

FRD

Coordinate system where the X-axis is pointing towards the Front of the vehicle, the Y-axis is pointing Right and the Z-axis is pointing Down, completing the right-hand rule.

FW

Fixed-Wing.

MC

MultiCopter.

MPC or MCPC

MultiCopter Position Controller. MPC is also used for Model Predictive Control.

NED

Coordinate system where the X-axis is pointing towards the true North, the Y-axis is pointing East and the Z-axis is pointing Down, completing the right-hand rule.

PID

Controller with Proportional, Integral and Derivative actions.

Symbols

Variable
Description

$x,y,z$

Translation along coordinate axis x,y and z respectively.

$\boldsymbol{\mathrm{r}}$

Position vector: $\boldsymbol{\mathrm{r}} = [x \quad y \quad z]^{T}$

Velocity vector: $\boldsymbol{\mathrm{v}} = \boldsymbol{\mathrm{\dot{r}}}$

Acceleration vector: $\boldsymbol{\mathrm{a}} = \boldsymbol{\mathrm{\dot{v}}} = \boldsymbol{\mathrm{\ddot{r}}}$

Angle of attack (AOA).

Wing span (from tip to tip).

Wing area.

Aspect ratio: $AR = b^2/S$

Angle of sideslip (AOS).

Wing chord length.

Aerodynamic control surface angular deflection. A positive deflection generates a negative moment.

Euler angles roll (=Bank), pitch and yaw (=Heading).

Attitude vector: $\Psi = [\phi \quad \theta \quad \psi]^T$

Forces along coordinate axis x,y and z.

Force vector: $\boldsymbol{\mathrm{F}}= [X \quad Y \quad Z]^T$

Drag force.

Cross-wind force.

Lift force.

Gravity.

Moments around coordinate axis x,y and z.

Moment vector $\boldsymbol{\mathrm{M}} = [l \quad m \quad n]^T$

Mach number. Can be neglected for scale aircraft.

Vector part of Quaternion.

Hamiltonian attitude quaternion. $\boldsymbol{\mathrm{\tilde{q}}} = (q_0, q_1, q_2, q_3) = (q_0, \boldsymbol{\mathrm{q}})$. $\boldsymbol{\mathrm{\tilde{q}}}{}$ describes the attitude relative to the local frame $\ell{}$. To represent a vector in local frame given a vector in body frame, the following operation can be used: $\boldsymbol{\mathrm{\tilde{v}}}^\ell = \boldsymbol{\mathrm{\tilde{q}}} , \boldsymbol{\mathrm{\tilde{v}}}^b , \boldsymbol{\mathrm{\tilde{q}}}^{}$ (or $\boldsymbol{\mathrm{\tilde{q}}}^{-1}{}$ instead of $\boldsymbol{\mathrm{\tilde{q}}}^{}$ if $\boldsymbol{\mathrm{\tilde{q}}}{}$ is not unitary). $\boldsymbol{\mathrm{\tilde{v}}}{}$ represents a quaternionized vector: $\boldsymbol{\mathrm{\tilde{v}}} = (0,\boldsymbol{\mathrm{v}})$

Leading-edge sweep angle.

Taper ratio: $\lambda = c_{tip}/c_{root}$

Wind velocity.

Angular rates around body axis x,y and z.

Angular rate vector in body frame: $\boldsymbol{\omega}^b = [p \quad q \quad r]^T$

General state vector.

Subscripts / Indices

Subscripts / Indices
Description

Aileron.

Elevator.

Rudder.

Aerodynamic.

Thrust force.

Relative airspeed.

Component of vector along coordinate axis x, y and z.

Component of vector along global north, east and down direction.

Superscripts / Indices

Superscripts / Indices
Description

Local-frame. Default for PX4 related variables.

Body-frame.

Wind-frame.

Decorators

Decorator
Description

Complex conjugate.

Time derivative.

Estimate.

Mean.

Matrix inverse.

Matrix transpose.

Quaternion.

Rotation matrix. Rotates a vector from frame $\ell{}$ to frame $b{}$.

v\boldsymbol{\mathrm{v}}v
a\boldsymbol{\mathrm{a}}a
α\alphaα
bbb
SSS
ARARAR
β\betaβ
ccc
δ\deltaδ
ϕ,θ,ψ\phi,\theta,\psiϕ,θ,ψ
Ψ\PsiΨ
X,Y,ZX,Y,ZX,Y,Z
F\boldsymbol{\mathrm{F}}F
DDD
CCC
LLL
ggg
l,m,nl,m,nl,m,n
M\boldsymbol{\mathrm{M}}M
MMM
q\boldsymbol{\mathrm{q}}q
q~\boldsymbol{\mathrm{\tilde{q}}}q~​
Rℓb\boldsymbol{\mathrm{R}}_\ell^bRℓb​
vb=Rℓbvℓ\boldsymbol{\mathrm{v}}^b = \boldsymbol{\mathrm{R}}_\ell^b \boldsymbol{\mathrm{v}}^\ellvb=Rℓb​vℓ
Λ\LambdaΛ
λ\lambdaλ
www
p,q,rp,q,rp,q,r
ωb\boldsymbol{\omega}^bωb
x\boldsymbol{\mathrm{x}}x
aaa
eee
rrr
AeroAeroAero
TTT
www
x,y,zx,y,zx,y,z
N,E,DN,E,DN,E,D
ℓ\ellℓ
bbb
www
()∗()^*()∗
()˙\dot{()}()˙​
()^\hat{()}()^​
()ˉ\bar{()}()ˉ​
()−1()^{-1}()−1
()T()^T()T
()~\tilde{()}()~​
superscripts