Transient satellite doppler signal processing for centimeter accuracy non-GPS assured position, navigation, and timing

A method of location determination by transient satellite doppler signal measurement comprising the steps of:

• receiving a first measured signal associated with a first satellite from the receiver;
• determining one or more transmission characteristics from the first measured signal;
• identifying a first subset of satellite candidates from a known satellite data set responsive to the one or more transmission characteristics;
• determining a first orbital characteristic of the first satellite from the first measured signal responsive to an indication of a current time via a first Doppler calculation;
• identifying the first satellite from the first subset of satellite candidates responsive to at least one of the one or more transmission characteristics and the first orbital characteristic;
• determining a first closest approach point responsive to identifying the first satellite and the first Doppler calculation;
• determining a current position of the first satellite relative to the receiver from the first closest approach point determination via comparison to an orbital location-defining modeling equation associated with the first satellite;
• receiving a second measured signal associated with a second satellite from the receiver;
• determining one or more transmission characteristics from the second measured signal;
• identifying a second subset of satellite candidates from a known satellite data set responsive to the one or more transmission characteristics of the second measured signal;
• determining a second orbital characteristic of the second satellite from the second measured signal via a second Doppler calculation;
• identifying the second satellite from the second subset of satellite candidates responsive to at least one of the one or more transmission characteristics of the second measured signal and the second orbital characteristic;
• determining a second closest approach point responsive to identifying the second satellite and the second Doppler calculation;
• determining a current position of the second satellite relative to the receiver from the second closest approach point determination via comparison to the orbital location-defining modeling equation associated with the second satellite;
• receiving a third measured signal associated with a third satellite from the receiver;
• determining one or more transmission characteristics from the third measured signal;
• identifying a third subset of satellite candidates from a known satellite data set responsive to the one or more transmission characteristics of the third measured signal;
• determining a third orbital characteristic of the third satellite from the third measured signal via a third Doppler calculation;
• identifying the third satellite from the third subset of satellite candidates responsive to at least one of the one or more transmission characteristics of the third measured signal and the third orbital characteristic;
• determining a third closest approach point responsive to identifying the third satellite and the third Doppler calculation;
• determining a current position of the third satellite relative to the receiver from the third closest approach point determination via comparison to the orbital location-defining modeling equation associated with the third satellite;
• and
• determining a geolocation of the receiver responsive to each of the current position of the first satellite relative to the receiver, the current position of the second satellite relative to the receiver, and the current position of the third satellite relative to the receiver.

A method of location determination by transient satellite doppler signal measurement comprising the steps of:

• receiving a plurality of measured signals associated with a plurality of satellites from the receiver, each measured signal of the plurality of measured signals being associated with a respective satellite of the plurality of satellites;
• determining a one or more of transmission characteristics for each measured signal of the plurality of measured signals;
• identifying a subset of satellite candidates from a known satellite data set responsive to the one or more transmission characteristics for each measured signal;
• determining an orbital characteristic of each satellite of the plurality of satellites from the plurality measured signal responsive to an indication of a current time via a Doppler calculation;
• identifying at least three satellites, defining identified satellites, of the plurality of satellites from the subset of satellite candidates for each measured signal responsive to at least one of the one or more transmission characteristics and the orbital characteristic;
• determining a closest approach point for each satellite of the identified satellites responsive to identifying each satellite and the Doppler calculation;
• determining a current position of each satellite of the identified satellites relative to the receiver from the closest approach point determination via comparison to an orbital location-defining modeling equation associated with each satellite;
• and
• determining a geolocation of the receiver responsive to the current position of each satellite of the plurality of identified satellites relative to the receiver.