Golf ball having non-spherical dimples
A golf ball has a generally spherical surface and a plurality of dimples separated by a land area formed on the surface. The plurality of dimples includes a plurality of non-spherical dimples each having a non-axially symmetric plan shape, a varying edge angle, and a geometric centroid of the non-axially symmetric plan shape (GC). Each dimple cross-section of each non-spherical dimple consists of two arcs, each arc extending from a defined point of maximum dimple depth to a point at the land area of the golf ball. Each non-spherical dimple is oriented at an orientation angle, α, relative to a reference line. The orientation angle α is dependent on the position of the GC on the surface of the golf ball.
1 . A golf ball having a generally spherical surface and comprising a plurality of dimples separated by a land area formed on the surface, wherein the plurality of dimples includes a plurality of non-spherical dimples each having a non-axially symmetric plan shape, a varying edge angle, and a geometric centroid of the non-axially symmetric plan shape (GC), wherein:
each dimple cross-section of each non-spherical dimple consists of two arcs, each arc extending from a defined point of maximum dimple depth to a point at the land area of the golf ball;
wherein each non-spherical dimple is oriented at an orientation angle, α, relative to a reference line, and
wherein the orientation angle α is dependent on the position of the GC on the surface of the golf ball.
2 . The golf ball of claim 1 , wherein the orientation angle α n of an n th non-spherical dimple is dependent on the latitudinal angle τ n of the GC of the n th non-spherical dimple.
3 . The golf ball of claim 1 , wherein the orientation angle α n of an n th non-spherical dimple is dependent on the longitudinal angle φ n of the GC of the n th non-spherical dimple.
4 . The golf ball of claim 1 , wherein the plurality of non-spherical dimples have an index n and the orientation angle α of each n th non-spherical dimple is dependent on the value of the index n.
5 . The golf ball of claim 4 , wherein the indexing order of the plurality of non-spherical dimples is based on the latitudinal angle τ of the GC of each non-spherical dimple.
6 . The golf ball of claim 4 , wherein the indexing order of the plurality of non-spherical dimples is based on the longitudinal angle φ of the GC of each non-spherical dimple.
7 . The golf ball of claim 1 , wherein, for each non-spherical dimple, α is set to equal the latitudinal angle τ of the GC of the non-spherical dimple.
8 . The golf ball of claim 1 , wherein, for each non-spherical dimple, α is set to equal the longitudinal angle φ of the GC of the non-spherical dimple.
9 . The golf ball of claim 1 , wherein the orientation angle α is determined relative to a zero angle position, and wherein the zero angle position is the position in which the reference line intersects the GC and an orientation point OP.
10 . The golf ball of claim 9 , wherein the OP corresponds to the point on the land area from the arc having a minimum edge angle.
11 . The golf ball of claim 9 , wherein the OP corresponds to the point on the land area from the arc having a maximum edge angle.
12 . The golf ball of claim 1 , wherein the orientation angle α n of an n th non-spherical dimple is dependent on the latitudinal angle τ n of the GC of the n th non-spherical dimple and the latitudinal angle φ n of the GC of the n th non-spherical dimple.
13 . The golf ball of claim 12 , wherein the orientation angle α n of an n th non-spherical dimple is further dependent on the value of an index n for each n th non-spherical dimple.
14 . The golf ball of claim 13 , wherein the orientation angle α n of an n th non-spherical dimple is further dependent on an initiation factor β.
15 . The golf ball of claim 14 , wherein the orientation angle α n of an n th non-spherical dimple is determined based on the following equation(s):
α 1 =(τ 1 ×β+φ 1 )mod(360)
α n =(τ n ×α n−1 +φ n )mod(360) for n≥ 2.
16 . The golf ball of claim 14 , wherein the orientation angle α n of an n th non-spherical dimple is determined based on the following equation(s):
α 1 =(φ 1 ×β+τ 1 )mod(360)
α n =(φ n ×α n−1 +τ n )mod(360) for n≥ 2.
17 . The golf ball of claim 1 , wherein every point on the perimeter of the non-spherical dimple is located at a radial angle, θ, about a unit circle, where 0≤θ≤2π, and the edge angle value of the non-spherical dimple at any given point on the perimeter is defined by the solution of an edge angle function ƒ(θ), wherein ƒ(θ) is a non-periodic continuous, differentiable function.