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  2. Angular displacement - Wikipedia

    en.wikipedia.org/wiki/Angular_displacement

    The angular displacement (symbol θ, ϑ, or φ) – also called angle of rotation, rotational displacement, or rotary displacement – of a physical body is the angle (in units of radians, degrees, turns, etc.) through which the body rotates (revolves or spins) around a centre or axis of rotation.

  3. Equations for a falling body - Wikipedia

    en.wikipedia.org/wiki/Equations_for_a_falling_body

    Based on wind resistance, for example, the terminal velocity of a skydiver in a belly-to-earth (i.e., face down) free-fall position is about 195 km/h (122 mph or 54 m/s). [3] This velocity is the asymptotic limiting value of the acceleration process, because the effective forces on the body balance each other more and more closely as the ...

  4. Set and drift - Wikipedia

    en.wikipedia.org/wiki/Set_and_drift

    A Dead Reckoning, DR, is calculated by using a previously determined position on a chart, and advancing that position based on known or estimated speed over a set amount of time. This can be calculated by using the formula Speed = Distance ÷ Time. [3] Once an advance position has been plotted, then set and drift can be factored in.

  5. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    Such non-standard orientations are rarely used in mathematics but are common in 2D computer graphics, which often have the origin in the top left corner and the y-axis down the screen or page. [ 2 ] See below for other alternative conventions which may change the sense of the rotation produced by a rotation matrix.

  6. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    The standard "physics convention" 3-tuple set (,,) conflicts with the usual notation for two-dimensional polar coordinates and three-dimensional cylindrical coordinates, where θ is often used for the azimuth. [3] Angles are typically measured in degrees (°) or in radians (rad), where 360° = 2 π rad. The use of degrees is most common in ...

  7. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    When Cartesian coordinates are represented by standard position, defined by the x-axis rightward and the y-axis upward, positive rotations are anticlockwise, and negative cycles are clockwise. In many contexts, an angle of −θ is effectively equivalent to an angle of "one full turn minus θ". For example, an orientation represented as −45 ...

  8. Heading (navigation) - Wikipedia

    en.wikipedia.org/wiki/Heading_(navigation)

    The formula is always added moving down, and subtracted when moving up. The most complicated part is determining if the values are positive or negative. The True, Magnetic, and Compass values are directions on the compass, they must always be a positive number between 0–360. Variation and Deviation can be positive or negative.

  9. Hour angle - Wikipedia

    en.wikipedia.org/wiki/Hour_angle

    The cosine of the hour angle (cos(h)) is used to calculate the solar zenith angle. At solar noon, h = 0.000 so cos( h ) = 1 , and before and after solar noon the cos(± h ) term = the same value for morning (negative hour angle) or afternoon (positive hour angle), so that the Sun is at the same altitude in the sky at 11:00AM and 1:00PM solar time.