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Index To Math Model Symbols

©2009 PerfectLogic Corporation, All Rights Reserved

Entries in the table below define the symbols used in the development of the mathematical model of flight dynamics.

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Symbol Definitions

Symbol	Description
	Orthogonal unit vectors along the axes of the Earth-Centered, Earth-Fixed (ECEF) frame of reference
	Orthogonal unit vectors along the axes of North-Oriented, Local-Level (NOLL) frame of reference
	Orthogonal unit vectors along theaxes of the Velocity-Oriented (VO) frame of reference
	Orthogonal unit vectors along theaxes of the Body-fixed frame of reference
	Rotation operator that transforms vectors expressed relative to the North-Oriented, Local-Level (NOLL) frame of reference to equivalent vectors relative to the Earth-Centered, Earth-Fixed (ECEF) frame
	Rotation operator that transforms vectors expressed relative to the Earth-Centered, Earth-Fixed (ECEF) frame of reference to equivalent vectors relative to the North-Oriented, Local-Level (NOLL) frame
	Rotation operator that transforms vectors expressed relative to the Velocity-Oriented (VO) frame of reference to equivalent vectors relative to the North-Oriented, Local-Level (NOLL) frame
	Rotation operator that transforms vectors expressed relative to the North-Oriented, Local-Level (NOLL) frame of reference to equivalent vectors relative to the Velociy-Oriented (VO) frame
	Rotation operator that transforms vectors expressed relative to the Body-fixed (BODY) frame of reference to equivalent vectors relative to the Velocity-Oriented (VO) frame
	Rotation operator that transforms vectors expressed relative to the Velocity-Oriented (VO) frame of reference to equivalent vectors relative to the Body-fixed (BODY) frame
	Earth rate
	Aerodynamic lift
	Commanded lift
	Aerodynamic drag
	Engine thrust as a function of time
	Commanded thrust
	Total force acting at the aircrafts center of gravity
	Component of total force parallel to the aircrafts velocity vector
	Component of total force normal to the aircrafts velocity vector
m, m(t)	Instantaneous aircraft mass
	Mass of the fully loaded aircraft
	Aircraft position at time, t, relative to the Earth-Centered, Earth-Fixed (ECEF) frame
h	Aircraft altitude
	Aircraft roll angle
	Aircraft pitch angle
	Yaw
	True aircraft heading
	Magnetic aircraft heading
	Desired heading
	Commanded heading
	Flight path angle
	Acceleration due to gravity at a distance, r, from the earths center
	Flight path angle
	Commanded flight path angle
	Desired flight path angle
	Geodetic Latitude
	Geodetic Longitude
	Aircraft's earth relative velocity
	Commanded speed
	Desired speed
	Groundspeed
	True airspeed
	Indicated airspeed
	Mach number
T, T(h)	Ambient air temperature as a function of altitude, h
	Static air pressure as a function of altitude, h
	Stagnation or total air pressure as measured by a Pitot-Static system
	Air density as a function of altitude, h
	Air density with corresponding pressure
	Speed of sound in air as a function of altitude

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