Tangent Ogive Tangency Point Formula

Equation for calculate tangent ogive tangency point is,

$\mathrm{x_t}=\mathrm{x₀}-\sqrt{\mathrm{r²_n}-\mathrm{y²_n}}$

where,
x₀ = Center of the spherical nose cap
r_n = Ogive radius
y_n = Y-coordinate of the tangency point
x_t = X-coordinate of the tangency point