Impact Prediction Chip

This is a Chip that contains a Vizzy program that computes your crafts impact position. This version is very light weight and will use less than 25 instructions per frame, so it will work smoothly on stock craft for career mode.

What is an impact position? When you are moving through space or even if its just a small hop, you are on an elliptical trajectory. Even for suborbital arcs, a full ellipse exists that describes it. We can use kepler's orbital elements to find out where the trajectory will take us.
For suborbital trajectories, most of the ellipse is underground and its periapsis is deep below the surface. The math doesn't care about that though. We can ask it what is the True Anomaly of the orbit when the orbital radius is equal to the planet's radius. An impact position is the location in 3D PCI Cartesian space where our orbit passes through the terrain.

After we have the true anomaly, we can reconstruct it's position in real 3D space by applying kepler's orbital elements. They are a set of values that describe the size, shape and orientation of an orbit.
You are probably already familiar with at least a few of these, such as eccentricity and inclination. We need all of them to create an orbital position in 3D space though.
In a previous version, we had to calculate those values manually. Since Juno 1.0, Vizzy provides most of what we need now. This is part of the reason why this version runs much faster than older iterations.

First, we graph the orbital position onto a 2D graph. this is done by using cosine and sine with the orbital radius. (Please view the code for an example) Then we transform that 2D plot into 3D with a rotation matrix.

Lastly, we apply a planet rotation correction around the axis of the planet's spin. So the impact position is now synced to the terrain.

The Chip calculates all of this for us and displays the result as a Target Position on the ground. There is also a display with a time which indicates how long until the craft will impact.