Ranging methods for inclined shooting of projectile weapons
A method for shooting a projectile weapon involves determining the inclination of a line of sight from a vantage point to a target and a line-of-sight range to the target, then predicting a trajectory parameter at the line-of-sight range, for a preselected projectile. Using the trajectory parameter, an equivalent horizontal range may then be determined, wherein the equivalent horizontal range is the range at which the trajectory parameter would be expected to occur if the projectile were shot from the vantage point toward a theoretical target located in a horizontal plane intersecting the vantage point. The equivalent horizontal range may be utilized to compensate for ballistic drop when shooting the projectile weapon. The method may be embodied in a handheld laser rangefinder including a memory for storing ballistic data. Systems for automatic hold over adjustment in a weapon aiming device are also disclosed.
1. A method for inclined shooting of a projectile weapon having a weapon sight that has been sighted in for a horizontal sighted-in range, comprising:
measuring an inclination of a line-of-sight between a vantage point and a target that is elevated or depressed relative to the vantage point;
measuring a line-of-sight range from the vantage point to the target;
programmatically determining an equivalent horizontal range as a function of the line-of-sight range, the inclination, and a ballistic characteristic representative of a projectile to be shot from the projectile weapon, the equivalent horizontal range providing ballistic correction for aiming the weapon sight to shoot the target with the projectile.
2. The method of claim 1 , wherein the equivalent horizontal range is determined from a lookup table.
3. The method of claim 2 , wherein the equivalent horizontal range is interpolated from values in a lookup table.
4. The method of claim 1 , wherein the equivalent horizontal range is calculated by:
calculating a trajectory parameter corresponding to the projectile at the line-of-sight range if shot from the vantage point to the target, the trajectory parameter being a function of the line-of-sight range, the inclination, and the ballistic characteristic; and
using the trajectory parameter and the ballistic characteristic, determining the equivalent horizontal range to a theoretical target located in a horizontal plane intersecting the vantage point, whereat the projectile would have the trajectory parameter if shot from the vantage point at the theoretical target.
5. The method of claim 4 , wherein the trajectory parameter includes a ballistic path height relative to the line of sight.
6. The method of claim 4 , wherein determining the equivalent horizontal range to the theoretical target located in the horizontal plane includes calculating the equivalent horizontal range using ballistics equations.
7. The method of claim 1 , wherein the ballistic characteristic includes a ballistic coefficient.
8. The method of claim 1 , further comprising specifying a characteristic of the projectile weapon and using the characteristic to determine the equivalent horizontal range.
9. The method of claim 1 , further comprising displaying the equivalent horizontal range.
10. The method of claim 1 , further comprising:
displaying a reticle pattern including multiple aiming marks spaced apart along a vertical axis, one of the aiming marks being the primary aiming mark for the horizontal sighted-in range and the other aiming marks corresponding to holdover ranges for targets located in a horizontal plane with the vantage point at target distances different from the sighted-in range; and
emphasizing the display of a selected one of the aiming marks corresponding to the sighted-in range or holdover range closest to the equivalent horizontal range.
11. The method of claim 1 , further comprising:
aiming the projectile weapon at the target based on the equivalent horizontal range; and
shooting the projectile weapon.
12. The method of claim 1 , wherein environmental parameters, in particular barometric pressure, relative humidity, or temperature, are also accounted for in determining the equivalent horizontal range.
13. The method of claim 1 , further comprising displaying the equivalent horizontal range in a reticle of the weapon sight.
14. The method of claim 1 , further comprising displaying in a reticle of the weapon sight a secondary aiming point corresponding to the equivalent horizontal range, wherein the secondary aiming point is spaced apart from a primary aiming point of the reticle for which the weapon and weapon sight are sighted in.
15. The method of claim 1 , wherein the line-of-sight range is measured by a laser rangefinder.