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Tangent ogive nose cone render and profile with parameters and ogive circle shown. Next to a simple cone, the tangent ogive shape is the most familiar in hobby rocketry . The profile of this shape is formed by a segment of a circle such that the rocket body is tangent to the curve of the nose cone at its base, and the base is on the radius of ...
A secant ogive of sharpness = / = The ogive shape of the Space Shuttle external tank Ogive on a 9×19mm Parabellum cartridge. An ogive (/ ˈ oʊ dʒ aɪ v / OH-jyve) is the roundly tapered end of a two- or three-dimensional object. Ogive curves and surfaces are used in engineering, architecture, woodworking, and ballistics.
G1 or Ingalls (flatbase with 2 caliber (blunt) nose ogive - by far the most popular) G2 (Aberdeen J projectile) G5 (short 7.5° boat-tail, 6.19 calibers long tangent ogive) G6 (flatbase, 6 calibers long secant ogive) G7 (long 7.5° boat-tail, 10 calibers tangent ogive, preferred by some manufacturers for very-low-drag bullets [12])
G1 or Ingalls (flatbase with 2 caliber (blunt) nose ogive - by far the most popular) [59] G2 (Aberdeen J projectile) G5 (short 7.5° boat-tail, 6.19 calibers long tangent ogive) G6 (flatbase, 6 calibers long secant ogive) G7 (long 7.5° boat-tail, 10 calibers secant ogive, preferred by some manufacturers for very-low-drag bullets [60])
bullet nose design incorporating a secant ogive, tangent ogive, Von Kármán ogive or Sears-Haack profile [3] the use of tapered bullet heels, also known as boat-tails [ 1 ] a cavity or hollow in the bullet nose ( hollow point ) to reduce weight while shifting the projectile's centre of gravity rearwards [ 1 ] to improve stability with ...
However, the discriminant of this equation is positive, so this equation has three real roots (of which only one is the solution for the cosine of the one-third angle). None of these solutions are reducible to a real algebraic expression , as they use intermediate complex numbers under the cube roots .
The sign of the square root needs to be chosen properly—note that if 2 π is added to θ, the quantities inside the square roots are unchanged, but the left-hand-sides of the equations change sign. Therefore, the correct sign to use depends on the value of θ. For the tan function, the equation is:
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