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The shape of this head is more economical, because the height of the head is just a fraction of the diameter. Its radius varies between the major and minor axis; usually the ratio is 2:1. Semi–Ellipsoidal Dished Heads
General parameters used for constructing nose cone profiles. Given the problem of the aerodynamic design of the nose cone section of any vehicle or body meant to travel through a compressible fluid medium (such as a rocket or aircraft, missile, shell or bullet), an important problem is the determination of the nose cone geometrical shape for optimum performance.
They include geodetic latitude (north/south) ϕ, longitude (east/west) λ, and ellipsoidal height h (also known as geodetic height [1]). The triad is also known as Earth ellipsoidal coordinates [ 2 ] (not to be confused with ellipsoidal-harmonic coordinates or ellipsoidal coordinates ).
The parameter a is the height of the curve's peak, ... a two-dimensional elliptical Gaussian function is expressed as ... a = c = 1/2, b = 0. Meaning of parameters ...
[2] [3] Such compromises depart from the theoretical elliptical lift distribution, increasing induced drag. An elliptical spanwise lift distribution cannot be achieved by an untwisted wing with an elliptical planform because there is a logarithmic term in the lift distribution that becomes important near the wing tips.
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The surface of the datum ellipsoid, resulting in an ellipsoidal height, h. The mean sea level as described by the gravity geoid, yielding the orthometric height, H. [3] [5] Along with the latitude φ and longitude λ, the ellipsoidal height h provides the three-dimensional geodetic coordinates (or geographic coordinates) for a location. [6]
An example of a spherical cap in blue (and another in red) In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane.It is also a spherical segment of one base, i.e., bounded by a single plane.