我在想，如果有领先的公式目标引领3D与弹道，如果不是我想知道是否有可能转换成二维目标导致公式作为一个三维目标对准领先的公式目标平面是在沿着目标的运动

I was wondering if there was a target leading formula for target leading in 3d with a ballistic trajectory and if not i was wondering if it is possible to convert a 2d target leading formula to work as a 3d target leading formula by aligning the plane it is on along the motion of the target?

推荐答案

领导可以很容易地计算出的弹丸被触发时的目标，但也不能保证目标不会改变航向，加速或减速而弹丸是在空气中。在任何情况下，当你领先目标既可以假定目标的速度将保持不变，或者如果它正在加速，其加速将保持不变。

Leading the target can be easily calculated at the time the projectile is fired, however there is no guarantee the target won't change course, accelerate, or decelerate while the projectile is in the air. In any case, when you're leading the target you can either assume that the target's velocity will remain the same, or if it is accelerating, that its acceleration will remain the same.

下面是一个博客文章我写了predicting行驶距离随着时间的推移，占加速。这里是code我用。

Here's a blog post I wrote about predicting a traveled distance over time, accounting for acceleration. And here is the code I use.

此将计算行驶距离，随着时间的推移，一个给定的恒定的加速度。在这种情况下 constantAccel 是一个速度，如果你的目标是不是加速，那么你就只使用0.0为参数。

This will calculate a distance traveled, over time, given a constant acceleration. In this case constantAccel is a speed, and if your target isn't accelerating then you would just use 0.0f for that parameter.

float CalcDistanceOverTime(const float initVelocity, 
                           const float constantAccel,
                           const float timeDelta)
{
    return  (initVelocity * timeDelta)
          + (0.5f * constantAccel * (timeDelta * timeDelta);
}

下面是一个例子：

Vector3 targetsVelocity(3.0f, 0.0f, 3.0f);
float targetsAcceleration = 1.0f;

float distanceTraveled = CalcDistanceOverTime(targetsVelocity, targetsAcceleration, timeDelta)

Vector3 finalPosition = targetsVelocity * distanceTraveled;

您可能会注意到，你需要一个 timeDelta 通过这个公式。这意味着，根据您的弹丸的轨迹和速度，你需要知道需要多长时间才能达到目标，但它是更加困难的事实，你不知道究竟有多长，可能要到你知道它会。我不知道这样做的精确公式，但我相信使用微积分，你可以计算的基础上，速度和弹速，和你的目标的速度和速度，占比重既，你应该能够找到一个点的空间，这两个可以发生碰撞。