Nose cone ogive shape (radius y at any point x)

Description

Nose cone section of any vehicle or body meant to travel through a compressible fluid medium (such as a rocket or aircraft, missile or bullet) has several shapes.The tangent ogive shape nose-cap 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 the circle.
Coordinates at any point at the ogive shape nose can be calculated by the length and base radius of the nose cone and the ogive radius.

Related formulas

Variables

yY-Coordinate of the point (radius y at any point x) (m)
ρOgive radius (m)
LThe overall length of the nose cone (m)
xThe x-coordinate of the point (m)
RRadius of the base of the nose cone (m)