Nose cap Spherically blunted tangent ogive shape ( X-coordinate of the center)

Description

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. The tangent ogive nose is often blunted by capping it with a segment of a sphere and the the center of the spherical nose cap can be calculated by the length and base radius of the nose cone and the nose radius.

Related formulas

Variables

xc X-coordinate of the center (m)
LThe overall length of the nose cone (m)
ρOgive radius (m)
rnRadius of the sphere (m)
RBase radius of the nose cone (m)