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Malla, Rajendra P.

Publications and source records attributed to Malla, Rajendra P..

Locating The Geocenter From GPS Measurements

Report presents analysis of Global Positioning System (GPS) measurements taken during 3-week geodetic experiment in early 1991. Involved constellation of 15 GPS satellites operational at that time, plus 21 GPS receiving stations at widely distributed sites, all but 4 of which in Northern Hemisphere. Analysis consisted principally of estimation of location of center of mass of Earth relative to GPS receiving stations. As part of analysis, GPS estimates of geocenter compared with estimates obtained by satellite laser ranging (SLR).

Vigue, Yvonne

Precise determination of earth's center of mass using measurements from the Global Positioning System

Global Positioning System (GPS) data from a worldwide geodetic experiment were collected during a 3-week period early in 1991. Geocentric station coordinates were estimated using the GPS data, thus defining a dynamically determined reference frame origin which should coincide with the earth center of mass, or geocenter. The 3-week GPS average geocenter estimates agree to 7-13 cm with geocenter estimates determined from satellite laser ranging, a well-established technique. The RMS of daily GPS geocenter estimates were 4 cm for x and y, and 30 cm for z.

Vigue, Yvonne

Global coordinates with centimeter accuracy in the International Terrestrial Reference Frame using GPS

Using 21 days of GPS data from 21 globally distributed receivers operating during early 1991, a 7-parameter transformation between a GPS free-network solution and coordinates of 12 stations listed in the International Terrestrial Reference Frame (ITRF) is solved. Standard errors of GPS coordinates are derived by applying an orthogonal projection operator to the free-network covariance. The weighted rms difference between 33 transformed GPS and ITRF coordinates is 12 mm in the Northern Hemisphere. Best results are obtained by mapping ITRF coordinates to the epoch of this experiment assuming no vertical site motions. Fixing selected sites in the GPS solution to ITRF '90 does not improve the agreement. It is concluded that the use of fiducial constraints is unnecessary for global networks.

Blewitt, Geoffrey

Locating The Geocenter From GPS Measurements

Two strategies to determine location of geocenter from observations of satellites in Global Positioning System (GPS) devised. First strategy: filtering algorithm used to process GPS data adjusts baselines between reference site and all nonfiducial sites along with GPS orbits and absolute coordinates of reference site. Second strategy: only longitude of reference site held fixed; all other coordinates of this site adjusted simultaneously along with states of GPS satellites. Center of mass of Earth located within few centimeters.

Malla, Rajendra P.

Recovery of a geocentric reference frame using the present-day GPS system

A geocentric reference frame adopts the center of mass of the earth as the origin of the coordinate axes. The center of mass of the earth is the natural and unambiguous origin of a geocentric satellite dynamical system. But in practice a kinematically obtained terrestrial reference frame may assume an origin other than the geocenter. The establishment of a geocentric reference frame, to which all relevant observations and results can be referred and in which geodynamic theories or models for the dynamic behavior of earth can be formulated, requires the ability to accurately recover a given coordinate frame origin offset from the geocenter. GPS measurements, because of their abundance and broad distribution, provide a powerful tool to obtain this origin offset in a short period of time. Two effective strategies have been devised. Data from the First Central And South America (Casa Uno) geodynamics experiment has been studied, in order to demonstrate the ability of recovering the geocenter location with present day GPS satellites and receivers.

Malla, Rajendra P.

GPS inferred geocentric reference frame for satellite positioning and navigation

Accurate geocentric three-dimensional positioning is of great importance for various geodetic and oceanographic applications. While relative positioning accuracy of a few centimeters has become a reality using Very Long Baseline Interferometry (VLBI), the uncertainty in the offset of the adopted coordinate system origin from the geocenter is still believed to be of the order of one meter. Satellite Laser Ranging (SLR) is capable of determining this offset to better than 10 cm, though, because of the limited number of satellites, this requires a long arc of data. The Global Positioning System (GPS) measurements provide a powerful alternative for an accurate determination of this origin offset in relatively short period of time. Two strategies are discussed, the first utilizes the precise relative positions predetermined by VLBI, whereas the second establishes a reference frame by holding only one of the tracking sites longitude fixed. Covariance analysis studies indicate that geocentric positioning to an accuracy of a few centimeters can be achieved with just one day of precise GPS pseudorange and carrier phase data.

Malla, Rajendra P.

Deriving a unique reference frame for GPS measurements

Two strategies for deriving a unique reference frame for GPS (Global Positioning System) measurements are discussed. The first strategy utilizes the precise relative positions which have been predetermined by VLBI (very long baseline interferometry) to fix the frame orientation and the absolute scaling, while the offset from the geocenter is determined from GPS measurements. Three different cases are presented under this strategy. The second strategy establishes a reference frame by holding only the longitudinal of one of the tracking sites fixed. The absolute scaling is determined by the adopted gravitational constant (GM) of the earth; and the latitude is inferred from the time signature of the earth's rotation in the GPS measurements. The coordinate system thus defined will be a geocentric earth fixed coordinate system. A covariance analysis shows that geometric positioning to an accuracy of a few centimeters can be achieved with just one day of precise GPS pseudorange and carrier phase data.

Malla, Rajendra P.