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  2. Pitch angle of a spiral - Wikipedia

    en.wikipedia.org/wiki/Pitch_angle_of_a_spiral

    In the geometry of spirals, the pitch angle [1] or pitch [2] of a spiral is the angle made by the spiral with a circle through one of its points, centered at the center of the spiral. Equivalently, it is the complementary angle to the angle made by the vector from the origin to a point on the spiral, with the tangent vector of the spiral at the ...

  3. Pitch angle (particle motion) - Wikipedia

    en.wikipedia.org/wiki/Pitch_angle_(particle_motion)

    The equatorial pitch angle of a particle is the pitch angle of the particle at the Earth's geomagnetic equator. This angle defines the loss cone of a particle. The loss cone is the set of angles where the particle will strike the atmosphere and no longer be trapped in the magnetosphere while particles with pitch angles outside the loss cone ...

  4. Pitching moment - Wikipedia

    en.wikipedia.org/wiki/Pitching_moment

    Pitching moment changes pitch angle A graph showing coefficient of pitching moment with respect to angle of attack for an airplane.. In aerodynamics, the pitching moment on an airfoil is the moment (or torque) produced by the aerodynamic force with respect to the aerodynamic center on the airfoil .

  5. Aircraft flight dynamics - Wikipedia

    en.wikipedia.org/wiki/Aircraft_flight_dynamics

    The three axis of rotation in an aircraft. Flight dynamics is the science of air vehicle orientation and control in three dimensions. The three critical flight dynamics parameters are the angles of rotation in three dimensions about the vehicle's center of gravity (cg), known as pitch, roll and yaw.

  6. Pitch angle - Wikipedia

    en.wikipedia.org/wiki/Pitch_angle

    Pitch angle (engineering), the angle between a bevel gears' element of a pitch cone and its axis; Pitch angle (particle motion), the angle between a charged particle's velocity vector and the local magnetic field; Pitch angle (kinematics), the rotation about the transverse axis of a stiff body Pitch angle (aviation), an airplane's rotation ...

  7. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    To find the angle of a rotation, once the axis of the rotation is known, select a vector v perpendicular to the axis. Then the angle of the rotation is the angle between v and Rv. A more direct method, however, is to simply calculate the trace: the sum of the diagonal elements of the rotation

  8. Conversion between quaternions and Euler angles - Wikipedia

    en.wikipedia.org/wiki/Conversion_between...

    Tait–Bryan angles. z-y′-x″ sequence (intrinsic rotations; N coincides with y’). The angle rotation sequence is ψ, θ, φ. Note that in this case ψ > 90° and θ is a negative angle. Similarly for Euler angles, we use the Tait Bryan angles (in terms of flight dynamics): Heading – : rotation about the Z-axis

  9. Stability derivatives - Wikipedia

    en.wikipedia.org/wiki/Stability_derivatives

    Aircraft (usually not missiles) operate at a nominally constant "trim" angle of attack. The angle of the nose (the X Axis) does not align with the direction of the oncoming air. The difference in these directions is the angle of attack. So, for many purposes, parameters are defined in terms of a slightly modified axis system called "stability ...