Abstract: An approach is provided for remotely controlling and/or tracking mobile devices. A request is received to track a mobile device. A control signal is generated, in response to the request, to remotely activate an application on the mobile device for controlling an audio interface or an imaging interface of the mobile device to capture a signal from the audio interface or the imaging interface.

Abstract: A method and system for assisting mobile stations to locate a satellite use an efficient messaging format. A server computes a correction between coarse orbit data of a satellite and precise orbit data of the satellite. A coordinate system is chosen such that variation of the correction is substantially smooth over time. The server further approximates the correction with mathematical functions to reduce the number of bits necessary for transmission to a mobile station. The mobile station, upon receiving the coefficients, evaluates the mathematical functions using the coefficients and a time of applicability (e.g., the current time), converts the evaluated result to a standard coordinate system, and applies the conversion result to the coarse orbit data to obtain the precise orbit data.

Abstract: A method and system for assisting mobile stations to locate a satellite use an efficient messaging format. A server computes a correction between coarse orbit data of a satellite and precise orbit data of the satellite. A coordinate system is chosen such that variation of the correction is substantially smooth over time. The server further approximates the correction with mathematical functions to reduce the number of bits necessary for transmission to a mobile station. The mobile station, upon receiving the coefficients, evaluates the mathematical functions using the coefficients and a time of applicability (e.g., the current time), converts the evaluated result to a standard coordinate system, and applies the conversion result to the coarse orbit data to obtain the precise orbit data.

Abstract: Systems, methods and devices for using ephemeris data in GNSS receivers and systems are provided. Receivers using synthetic ephemeris data for longer ephemeris availability under poor reception conditions are updated using a variety of techniques that allow for the transfer of accurate information onto degraded synthetic ephemeris information.

Abstract: A method and system for assisting mobile stations to locate a satellite use an efficient messaging format. A server computes a correction between coarse orbit data of a satellite and precise orbit data of the satellite. A coordinate system is chosen such that variation of the correction is substantially smooth over time. The server further approximates the correction with mathematical functions to reduce the number of bits necessary for transmission to a mobile station. The mobile station, upon receiving the coefficients, evaluates the mathematical functions using the coefficients and a time of applicability (e.g., the current time), converts the evaluated result to a standard coordinate system, and applies the conversion result to the coarse orbit data to obtain the precise orbit data.

Abstract: A method of predicting a location of a satellite is provided wherein the GPS device, based on previously received information about the position of a satellite, such as an ephemeris, generates a correction acceleration of the satellite that can be used to predict the position of the satellite outside of the time frame in which the previously received information was valid. The calculations can be performed entirely on the GPS device, and do not require assistance from a server. However, if assistance from a server is available to the GPS device, the assistance information can be used to increase the accuracy of the predicted position.

Abstract: A method for providing satellite orbit ephemeris includes: determining a positioning satellite in view of a reference position; and providing to a positioning device a satellite orbit ephemeris of the positioning satellite in view of the reference position, the satellite orbit ephemeris being valid for at least one day.

Abstract: Aspects of a method and system for extending the usability period of long term orbit (LTO) are provided. A GPS enabled handset may receive LTO data from an AGPS server via a wireless communication network such as 3GPP or WiMAX. The GPS enabled handset may be enabled to receive broadcast GPS signals. The GPS enabled handset may extract navigation information from the received broadcast GPS signals to be used to adjust the received LTO data. The usability period of the received LTO data may be extended, accordingly. A clock model and a satellite health model associated with the extracted navigation information may be used to update or replace the clock model and/or the satellite health model of the received LTO data, respectively. A navigation solution for the GPS enabled handset may be determined more accurately based on the adjusted LTO data.

Abstract: Methods, program products, and systems of location estimation using a probability density function are disclosed. In general, in one aspect, a server can estimate an effective altitude of a wireless access gateway using harvested data. The server can harvest location data from multiple mobile devices. The harvested data can include a location of each mobile device and an identifier of a wireless access gateway that is located within a communication range of the mobile device. The server can calculate an effective altitude of the wireless access gateway using a probability density function of the harvested data. The probability density function can be a sufficient statistic of the received set of location coordinates for calculating an effective altitude of the wireless access gateway. The server can send the effective altitude of the wireless access gateway to other mobile devices for estimating altitudes of the other mobile devices.

Abstract: A system and method of locating the position of a satellite or a user using a satellite positioning system. The system and method includes receiving, at a terminal, satellite positioning data for at least one specified time period over a communications channel. In addition, the system includes storing, at the terminal, the satellite positioning data for the at least one specified time period. Responsive to an event at a later time, the system generally calculates, at the terminal, the satellite position at the later time based only on the satellite positioning data for the at least one specified time period.

Abstract: A method for updating a set of transformation information parameters used in a global navigation satellite system includes: obtaining at least one satellite navigation information for a satellite; and updating the set of transformation information parameters according to the obtained satellite navigation information. The method can extend the life time of the set of transformation information parameters, and used to generate better predictions of the satellite trajectory therefore the TTFF can be reduced while the positioning accuracy can also be improved.

Abstract: A method and device for predicting satellite trajectory extension data in a mobile apparatus. The device in accordance with the present invention comprises an I/O interface and a microprocessor. The input/output (I/O) interface is used for obtaining at least one satellite navigation message for at least one satellite. The microprocessor is used for determining a satellite trajectory prediction model according to the satellite navigation message, and propagating at least one set of satellite trajectory extension data by using the satellite trajectory prediction model.

Abstract: Aspects of a method and system for extending the usability period of long term orbit (LTO) are provided. A GPS enabled handset may receive LTO data from an AGPS server via a wireless communication network such as 3GPP or WiMAX. The GPS enabled handset may be enabled to receive broadcast GPS signals. The GPS enabled handset may extract navigation information from the received broadcast GPS signals to be used to adjust the received LTO data. The usability period of the received LTO data may be extended, accordingly. A clock model and a satellite health model associated with the extracted navigation information may be used to update or replace the clock model and/or the satellite health model of the received LTO data, respectively. A navigation solution for the GPS enabled handset may be determined more accurately based on the adjusted LTO data.

Abstract: A method of predicting a location of a satellite is provided wherein the GPS device, based on previously received information about the position of a satellite, such as an ephemeris, generates a correction acceleration of the satellite that can be used to predict the position of the satellite outside of the time frame in which the previously received information was valid. The calculations can be performed entirely on the GPS device, and do not require assistance from a server. However, if assistance from a server is available to the GPS device, the assistance information can be used to increase the accuracy of the predicted position.

Abstract: A method and system for assisting mobile stations to locate a satellite use an efficient messaging format. A server computes a correction between coarse orbit data of a satellite and precise orbit data of the satellite. A coordinate system is chosen such that variation of the correction is substantially smooth over time. The server further approximates the correction with mathematical functions to reduce the number of bits necessary for transmission to a mobile station. The mobile station, upon receiving the coefficients, evaluates the mathematical functions using the coefficients and a time of applicability (e.g., the current time), converts the evaluated result to a standard coordinate system, and applies the conversion result to the coarse orbit data to obtain the precise orbit data.

Abstract: Systems, methods and devices for improving the performance of Global Navigation Satellite System (GNSS) receivers are disclosed. In particular, the improvement of the ability to calculate a satellite position or a receiver position where a receiver has degraded ability to receive broadcast ephemeris data directly from a GNSS satellite is disclosed. Correction terms can be applied to an approximate long-term satellite position model such as the broadcast almanac.

Abstract: A method for providing satellite orbit ephemeris includes: determining a positioning satellite in view of a reference position; and providing to a positioning device a satellite orbit ephemeris of the positioning satellite in view of the reference position, the satellite orbit ephemeris being valid for at least one day.

Abstract: Systems, methods and devices for improving the performance of Global Navigation Satellite System (GNSS) receivers are disclosed. In particular, the improvement of the ability to calculate a satellite position or a receiver position where a receiver has degraded ability to receive broadcast ephemeris data directly from a GNSS satellite is disclosed. Correction terms can be applied to an approximate long-term satellite position model such as the broadcast almanac.

Abstract: A device can access scaled values and scaling factors, which are used to convert the scaled values into coefficients and residuals. The coefficients and residuals can in turn be used with time-dependent functions to reconstruct predicted ephemeris data, including clock correction data, for satellite navigation system satellites. Ephemeris data that is broadcast from any of the satellites can be used to update the calculated ephemeris data.

Abstract: A method in a Global Navigation Satellite System (GNSS) receiver for double-nudged broadcast orbit drift correction. A first broadcast orbit message is utilized to nudge a broadcast orbit in use at the GNSS receiver to create a first nudged broadcast orbit for a GNSS satellite, the first nudged broadcast orbit being more precise than the broadcast orbit. A second broadcast orbit message is utilized to nudge the first nudged broadcast orbit in use at the GNSS receiver to create a double-nudged broadcast orbit for a GNSS satellite, the double-nudged broadcast orbit being more precise than the first nudged broadcast orbit. A third broadcast orbit message is utilized to maintain the double-nudged broadcast orbit, the third broadcast orbit message smaller than the second and the first broadcast orbit messages.

Abstract: A satellite based positioning method and system including storing satellite sub-almanac data on a mobile station. Embodiments include using the sub-almanac data to take measurements and calculate a coarse position of the mobile station. Embodiments further include a location server calculating a correction to the coarse position, and the location server determining whether any sub-almanacs used to calculate the coarse position require replacement.

Abstract: Provided herein are methods and systems for efficient communication between a server and a client in an assisted navigation system. In one or more embodiments, the client, e.g., a GPS receiver, receives a set of parameters for a satellite from the server via a wireless or wired connection. The set of parameters includes a force parameter, initial condition parameters and time correction coefficients for the satellite. The receiver uses the received parameters in a numerical integration to compute the position of the satellite at a desired time. The set of parameters needed for the integration is small compared to current methods which require sending more data to the client. Thus these parameters require less communication resources to transmit. To further reduce the amount of data that needs to be transmitted, reference parameters may be subtracted from the original parameters before transmission from the server.

Abstract: An improved network enabled extended ephemeris navigation system includes a network server able to collect ephemeris, clock, and almanac information from orbiting GPS satellites, and to use that information to build up extended ephemeris predictions that will be valid and useful for at least a week. A mobile client is able to request and use the extended ephemeris predictions to search for and track orbiting GPS satellites visible to it. The improvement is characterized by a satellite position and clock compact model construction and database unit that constructs a compact short-term satellite model to be sent first in response to a request for extended ephemeris predictions from the mobile client, and that constructs several consecutive long-term satellite models each representing a unique portion of a day in at least a seven day series.

Abstract: A mobile device includes a processor for generating a predicted orbital state vector using an initial satellite position and velocity and force model parameters received from a server, the predicted orbital state vector being used to generate satellite navigation data; and a GNSS receiver in communication with the processor for receiving the satellite navigation data; wherein the satellite navigation data is valid for a time period.

Abstract: A satellite orbit prediction method of a satellite navigation system includes storing satellite past ephemerides data associated with past time intervals and satellite recent ephemeris data associated with a recent time interval, and computing reference satellite positions based on the past and recent ephemerides data. The method also includes: computing estimated satellite positions by propagating on the past time intervals using a celestial mechanics force model and the recent ephemeris data, computing errors from the reference satellite positions and estimate satellite positions, and identifying a position error function by fitting a curve to the computed errors. The position error function is used to obtain corrected predicted satellite orbit portions.

Abstract: A method and apparatus for background decoding of a broadcast satellite-navigation message to maintain integrity of long-term-orbit information used in a Global-Navigation-Satellite System or other positioning system is described. The method may include processing the long-term-orbit information associated with at least one satellite to obtain a first position of a receiver; obtaining at least one portion of broadcast ephemeris transmitted from the at least one satellite; and processing, as a substitute for at least one portion of the long-term-orbit information, the at least one portion of broadcast ephemeris to obtain a second position of the receiver.

Abstract: A navigation message acquiring unit acquires bit data per word from a received bit data row. Here, if continuous words constituting one subframe is failed to be acquired in one frame, only a word that is accurately decoded is stored. Here, final two bits in a word immediately prior to the accurately decoded word is also stored along with the accurately decoded word. If all of the words constituting the one subframe are successfully acquired in a plurality of frames, a phase match between the words is performed by using the final two bits in the word stored along with each of the words and immediately prior to the accurately decoded word, a supplemented subframe is formed by joining each of the phased matched words, and the navigation message acquiring unit outputs the supplemented subframe with time-of-week information.

Abstract: A method of determining the appropriateness of satellite orbit modeling is provided. The method includes calculating values of parameters, that the predetermined model has, on the basis of predicted position data including a first predicted position at a first point of time and a second predicted position at a second point of time of a positioning satellite in time series, calculating a first and a second calculated positions of the positioning satellite derived from the predetermined model by using the values of the parameters; and determining the appropriateness of the predetermined model using the values of the parameters, on the basis of first difference between the first predicted position and the first calculated position, and seconded difference between the second predicted position and the second calculated position. The predetermined model is used when approximating a satellite orbit of the poisoning satellite.

Abstract: The number of GPS satellites from which radio waves are received and the intensities of radio waves received from the GPS satellites are acquired. In a first state in which radio waves of a first signal intensity are received from four GPS satellites in a first predetermined time, orbit/time information are acquired from the respective GPS satellites. The time information indicates a radio-wave emission GMT clock time at the satellite when the radio waves were emitted from the satellite. In a second state in which radio waves of a second signal intensity lower than the first intensity are received from one or more GPS satellites within a second time longer than the first predetermined time, the time information is acquired from the respective GPS satellites. In the first state, a current time and a current position of the GPS timepiece is calculated based on the time/orbit information. In the second state, a current time is calculated based on the time information.

Abstract: A method of predicting a location of a satellite is provided wherein the GPS device, based on previously received information about the position of a satellite, such as an ephemeris, generates a correction acceleration of the satellite that can be used to predict the position of the satellite outside of the time frame in which the previously received information was valid. The calculations can be performed entirely on the GPS device, and do not require assistance from a server. However, if assistance from a server is available to the GPS device, the assistance information can be used to increase the accuracy of the predicted position.

Abstract: A GNSS enabled mobile device receives GNSS signals from visible GNSS satellites. Broadcast ephemeris is extracted from the received GNSS signals for generating ephemeris extension (future ephemeris) in the next several days for each of the visible GNSS satellites. The GNSS enabled mobile device uses the generated future ephemeris to determine a position fix even without fresh broadcast ephemeris completely received from the visible GNSS satellites. The generation of future ephemeris is scheduled according to the age of available ephemeris extensions and/or the time of visibility. Available ephemeris such as extracted broadcast ephemeris are integrated into an orbit model using the multi-step numerical integration methods and propagated to generate future ephemeris. The generated future ephemeris is reformatted into a desired orbit model and/or format of the GNSS enabled mobile device.

Abstract: A method of determining the appropriateness of satellite orbit modeling is provided. The method includes calculating values of parameters, that the predetermined model has, on the basis of predicted position data including a first predicted position at a first point of time and a second predicted position at a second point of time of a positioning satellite in time series, calculating a first and a second calculated positions of the positioning satellite derived from the predetermined model by using the values of the parameters; and determining the appropriateness of the predetermined model using the values of the parameters, on the basis of first difference between the first predicted position and the first calculated position, and seconded difference between the second predicted position and the second calculated position. The predetermined model is used when approximating a satellite orbit of the poisoning satellite.

Abstract: Systems and methods are disclosed herein for improving the sensitivity of satellite data decode in a satellite navigation receiver. The low signal ephemeris data decoding system of the present disclosure achieves a 5 db improvement in decoding sensitivity over conventional system by operating down to a CN0 of 21 dB-Hz. The improved sensitivity is achieved through a combination of reducing the number of data bits to be decoded, overcoming the inherent differential decoding problem of an all data bit polarity inversion, improving the probability of seeing single bit decoding error in an ephemeris word, running the parity correction algorithm, and reducing the undetected word error rate. The improved sensitivity makes it possible to predict the orbit of the satellite and to determine the receiver's location with higher accuracy even when operating in challenging signal conditions.

Abstract: A multi-standard GNSS receiver, handle different global navigation satellite systems (GNSSs), determines with respect to a current time instant, the earliest broadcast timing based on corresponding satellite broadcast cycles for satellites in the different GNSSs. The multi-standard GNSS receiver acquires fresh broadcast ephemeris at the determined earliest broadcast timing to determine its own first position. A search order is determined based on the corresponding satellite broadcast cycles and the current time instant. The multi-standard GNSS receiver may selectively utilize appropriate satellite receivers such as the GPS receiver and the GLONASS receiver to search for satellite signals based on the determined search order. Channels for different GNSSs are scanned to identify transmitting satellites based on the corresponding satellite broadcast cycles for ephemeris downloading. The satellite search is prioritized by comparing the current time instant with the corresponding satellite broadcast cycles.

Abstract: An improved extended ephemeris navigation receiver includes a fully autonomous satellite navigation receiver for receiving microwave transmissions from orbiting navigation system satellites, and able to demodulate navigation messages that include the ephemerides for those navigation system satellites. The improvements include a force model of the accelerations acting on a particular satellite vehicle, and are exclusive to the receiver. A single observation of the ephemeris for each SV is input and propagated days into the future by integrating each SV's orbital position with its corresponding force model. The fully autonomous satellite navigation receiver thereafter has available to it extended ephemeris predictions that can be used as substitutes when said navigation messages from the respective SV cannot otherwise be immediately obtained and demodulated.

Abstract: A method of predicting a location of a satellite is provided wherein the GPS device, based on previously received information about the position of a satellite, such as an ephemeris, generates a correction acceleration of the satellite that can be used to predict the position of the satellite outside of the time frame in which the previously received information was valid. The calculations can be performed entirely on the GPS device, and do not require assistance from a server. However, if assistance from a server is available to the GPS device, the assistance information can be used to increase the accuracy of the predicted position.

Abstract: Methods and apparatus for autonomous in-receiver prediction of orbit and clock states of Global Navigation Satellite Systems (GNSS) are described. Only the GNSS broadcast message is used, without need for periodic externally-communicated information. Earth orientation information is extracted from the GNSS broadcast ephemeris. With the accurate estimation of the Earth orientation parameters it is possible to propagate the best-fit GNSS orbits forward in time in an inertial reference frame. Using the estimated Earth orientation parameters, the predicted orbits are then transformed into Earth-Centered-Earth-Fixed (ECEF) coordinates to be used to assist the GNSS receiver in the acquision of the signals. GNSS satellite clock states are also extracted from the broadcast ephemeris and a parameterized model of clock behavior is fit to that data. The estimated modeled clocks are then propagated forward in time to enable, together with the predicted orbits, quicker GNSS signal acquision.

Abstract: A method and device for using satellite trajectory extension data in a mobile apparatus. The device in accordance with the present invention comprises an I/O interface and a microprocessor. The input/output (I/O) interface is used for obtaining at least one satellite navigation message for a satellite. The microprocessor is used for determining a propagating condition according to the satellite navigation message, estimating a plurality of parameters of a satellite trajectory prediction model according to the propagating condition to establish an estimated satellite trajectory predication model, propagating a set of satellite trajectory extension data by using the estimated satellite trajectory prediction model, computing acquisition assistance data according to the satellite trajectory extension data and acquiring signals of the satellite by using the acquisition assistance data.

Abstract: A satellite based positioning method and system including storing satellite sub-almanac data on a mobile station. Embodiments include using the sub-almanac data to take measurements and calculate a coarse position of the mobile station. Embodiments further include a location server calculating a correction to the coarse position, and the location server determining whether any sub-almanacs used to calculate the coarse position require replacement.

Abstract: A navigation apparatus and a navigation-related information display method acquire a plurality of orbit data from a plurality of GPS satellites, pinpoint the current geographical position of the apparatus according to the orbit data and distance data on the distances from the plurality of GPS satellites, display the acquiring progress level until completely acquiring a plurality of orbit data sufficient for pinpointing the current geographical position, count the remaining effective time of the plurality of orbit data acceptable for pinpointing the current geographical position and display the remaining effective time by means of a level mark that is provided with a gradation.

Abstract: A system and method of locating the position of a satellite or a user using a satellite positioning system. The system and method includes receiving, at a terminal, satellite positioning data for at least one specified time period over a communications channel. In addition, the system includes storing, at the terminal, the satellite positioning data for the at least one specified time period. Responsive to an event at a later time, the system generally calculates, at the terminal, the satellite position at the later time based only on the satellite positioning data for the at least one specified time period.

Abstract: An improved approach to satellite-based navigation (e.g., GPS) is provided. In one embodiment, a method includes determining a nominal orbital path of a navigation satellite. The method also includes transmitting ephemeris data corresponding to the nominal orbital path from the navigation satellite to a plurality of navigation devices. The method further includes determining an actual orbital path of the navigation satellite locally at the navigation satellite. In addition, the method includes determining a deviation between the actual orbital path and the nominal orbital path locally at the navigation satellite. The method also includes autonomously adjusting the actual orbital path locally at the navigation satellite to reduce the deviation between the actual orbital path and the nominal orbital path.

Abstract: A fast position tracking method and apparatus, the fast position tracking method including the operations of receiving a satellite signal from a plurality of satellites; demodulating satellite data received from a predetermined satellite from among the plurality of satellites by using a pseudo random noise code and a carrier which correspond to the satellite signal; estimating information about satellite data which is at a current time and which is from among the demodulated satellite data according to a real-time clock (RTC) counter; and determining a position.

Abstract: In a method of autonomous orbit projection performed within a Global Navigation Satellite System (GNSS) receiver, distinct broadcast orbits are received over time from a GNSS satellite during operation of the GNSS receiver. A plurality of the distinct broadcast orbits are stored within the GNSS receiver. Within the GNSS receiver, a plurality of the stored broadcast orbits are converted into a time series of range data for the GNSS satellite. A projected orbit for the GNSS satellite is determined by utilizing the time series of range data as an input to an orbit projector of the GNSS receiver.

Abstract: A method and device for predicting satellite trajectory extension data in a mobile apparatus. The device in accordance with the present invention comprises an I/O interface and a microprocessor. The input/output (I/O) interface is used for obtaining at least one satellite navigation message for at least one satellite. The microprocessor is used for determining a satellite trajectory prediction model according to the satellite navigation message, and propagating at least one set of satellite trajectory extension data by using the satellite trajectory prediction model.

Abstract: A distributed orbit and propagation method for use in a predicted GPS or GNSS system, which includes a predicted GPS server (PGPS Server), a source of high accuracy orbit predictions (Orbit Server), a global reference network (GRN Server) providing real-time GPS or GNSS assistance data to the PGPS Server, a predicted GPS client (PGPS Client) running on a device equipped with a GPS or AGPS chipset. In response to requests from the PGPS Client, the PGPS Server produces and disseminates an initial seed dataset consisting of current satellite orbit state vectors and orbit propagation model coefficients. This seed dataset enables the PGPS Client to locally predict and propagate satellite orbits to a desired future time. This predictive assistance in turn helps accelerate Time To First Fix (TTFF), optimize position solution calculations and improve the sensitivity of the GPS chip present on, or coupled with, the device.

Abstract: Aspects of a method and system for keeping a device for satellite navigation in a state that enables rapid signal acquisition are provided. The device may acquire broadcast ephemeris from one or more satellite signals during a data refresh operation. The satellite signals may comprise a GPS signal, a GLONASS signal, a GALILEO signal, or a combination thereof. The device may compute extended or future ephemeris from the acquired broadcast ephemeris during the data refresh operation. In a positioning operation that is subsequent to the data refresh operation, the device may determine satellite navigation information from the computed extended ephemeris. In some instances, a time associated with a schedule of the data refresh operation may be adjusted based on the computed extended ephemeris. The extended ephemeris may be computed by integrating current and/or historic broadcast ephemeris into an orbit model.

Abstract: A GPS receiver includes a demodulator for obtaining ephemeris data and almanac data from a navigation message sent by satellites, and includes a calculator. The calculator is used for calculating almanac correction parameters according to coordinate differences between ephemeris-based coordinates of the satellites and almanac-based coordinates of the satellites. The GPS receiver also includes a satellite position calculator for calculating the ephemeris-based coordinates of the satellites according to the ephemeris data, for calculating the almanac-based coordinates of the satellites according to the almanac data, and for calculating positions of the satellites according to the ephemeris data, the almanac data and the almanac correction parameters.

Abstract: A method and apparatus for determining long term orbit (LTO) models using variable time-horizons to improve the orbit and clock model accuracy. The method and apparatus use either historic ephemeris or historic measurements for at least one satellite to produce an orbit parameter prediction model (an LTO model). The parameter predicted by the model is compared to an orbit parameter of a current broadcast ephemeris. The result of the comparison (an indicia of accuracy for the model) is used to establish a time-horizon for the orbit parameter prediction model for that particular satellite. Such a time-horizon may be established in this manner for each satellite within a satellite constellation.

Abstract: An improved network enabled extended ephemeris navigation system includes a network server able to collect ephemeris, clock, and almanac information from orbiting GPS satellites, and to use that information to build up extended ephemeris predictions that will be valid and useful for at least a week. A mobile client is able to request and use the extended ephemeris predictions to search for and track orbiting GPS satellites visible to it. The improvement is characterized by a satellite position and clock compact model construction and database unit that constructs a compact short-term satellite model to be sent first in response to a request for extended ephemeris predictions from the mobile client, and that constructs several consecutive long-term satellite models each representing a unique portion of a day in at least a seven day series.