General 3D guidance law modeling

Manoeuvring objects guidance is based on guidance laws. The most popular guidance laws are the proportional navigation laws. By now, the most efficient law in term of ability to cause capture is the pure proportional navigation. A new guidance law, as efficient as the pure proportional navigation, is modeled in this paper. Guidance laws are usually defined in a two dimension space. On the contrary, the study developed in the paper is realized in a three dimension space. A three dimension guidance law model achieves the modeling process. A two dimension guidance law model is then derived from the three dimension one in order to perform a comparison between this new law and another popular law: the true proportional navigation