System and process to passively determine the 3-dimensional position, the course line and the speed of a signal source

A process for determining a three-dimensional position of an energy source, comprising:

• receiving, at a processor, an energy signal provided by an object travelling relative to a plurality of transducers positioned in an equilateral triangular arrangement, wherein seven sectors are defined by positions between the plurality of transducers, wherein six of the seven sectors are areas external to the equilateral triangular arrangement and defined by bi-sections of the legs of the equilateral triangular arrangement, and one sector is positioned inside an area of the equilateral triangular arrangement;
• receiving a first detection signal from a first transducer;
• receiving a second detection signal from a second transducer;
• determining by the processor, an elapsed time difference of receiving the energy signal by the first transducer and the second transducer;
• determining by the processor a distance between the first transducer and the second transducer;
• determining by the processor, a case scenario for where the energy source is relative to the triangular arrangement based on the determined elapsed time difference, wherein the case scenario represents the object being present in one of the seven sectors;
• calculating by the processor a section of the distance between the first transducer and the second transducer;
• calculating by the processor a chord based on either the distance between the first transducer and the second transducer or the section of the distance between the first transducer and the second transducer;
• plotting by the processor, a circle based on the chord, wherein the circle represents a two-dimensional position of the object;
• plotting, by the processor, a first line from a first end of the chord and a second line from a second end of the chord to a center of the circle;
• determining by the processor an intersection of the first line and the second line at the center of the circle;
• determining by the processor, a magnitude of an angle of the intersection of the first line and the second line at the center of the circle;
• and
• determining by the processor, using the Pythagorean theorem, a three-dimensional position of the object, wherein a third line from a midpoint of the chord to an intersection with the circle is a base, and a hypotenuse is one of either the first line or the second line.