Systems, methods, and apparatus to determine physical location and routing within a field of low power beacons

A method, comprising:

• receiving, by a receiver communicably coupled to a processor, a plurality of broadcast signals identifying terrestrial radio frequency beacons;
• determining by the processor an initial receiver location;
• determining an updated receiver location by:
• determining a plurality of vector quantities associated with the signals received from the plurality of originating beacons;
• and
• determining the updated receiver location by summing the plurality of vector quantities;
• and
• outputting the updated receiver location.

A position location system of a handheld electronic device, comprising:

• a receiver to receive a plurality of broadcast signals, wherein one or more of the plurality of received signals contain data identifying at least one of a plurality of beacons;
• a processor communicably coupled to the receiver, wherein the processor:
• receives user input indicative of a desired object location of a desired object to which the user would like to travel;
• determines preferred routing to the desired object location of the desired object inputted by the user based on the plurality of broadcast signals;
• outputs guidance to the desired object location using the determined preferred routing;
• determines updated locations of the user by periodically or intermittently updating the location of the user while the user is attempting to follow the determined preferred routing;
• determine updated routing based on the updated location of the user;
• and
• identify when the location of the handheld electronic device is within a defined distance of the location of the desired object.