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1.
Time-relative positioning is a recent method for processing GPS phase observations. The operational method undertaken in this
paper consists of the following steps: first, recording phase observations at a station of known coordinates; second, moving
the GPS receiver to an unknown station (which can be located up to a few hundred meters away, dependint on what type of transportation
– e. g., walking, motorcycle – is available) while continuously observing carrier phases; and, third, recording phase observations
at a second station of unknown coordinates with a single GPS receiver. To obtain the position of the unknown station relative
to the first (known) station, the processing method uses combined observations taken at two different epochs and two different
stations with the same receiver. For this reason, the errors that vary between two epochs must be taken into account in an
appropriate way, especially errors in satellite clock corrections and ephemerides, and errors related to tropospheric and
ionospheric delays. Ionospheric modeling using IONEX files (the ionospheric maps calculated by the International GPS Service)
was also tested to correct L1 phase observations. This method has been used to calculate short vectors with an accuracy of
a few centimeters (for a processing interval of 30 s) using a single civil GPS receiver. ? 2001 John Wiley & Sons, Inc. 相似文献
2.
Summary Time varying coordinates of points of a geodetic network are indirectly measured by a group of measurement devices with different characteristics of accuracy in several epochs. The design of the measurement is the same in all epochs. The ratio of the characteristics of accuracy is a priori unknown. The aim is to determine an estimator of the parameters of functions modelling changes of the coordinates, confidence regions of these functions and to construct a procedure for testing linear hypotheses on time varying coordinates of a geodetic network. As the characteristics of accuracy are a priori unknown, the problem of their estimation has to be solved simultaneously. The research of rules of recent crustal movements leads to studying the mentioned model. 相似文献
3.
The initial value problem and the stability of solution in the determination of the coordinates of three observing stations
and four retro-reflectors by lunar laser ranging are discussed. Practical iterative computations show that the station coordinates
can be converged to about 1 cm, but there will be a slight discrepancy of the longitudinal components computed by various
analysis centers or in different years. There are several factors, one of which is the shift of the right ascension of the
Moon, caused by the orientation deviation of the adopted lunar ephemeris, which can make the longitudinal components of all
observing stations rotate together along the longitudinal direction with same angle. Additionally, the frame of selenocentric
coordinates is stable, but a variation or adjustment of lunar third-degree gravitational coefficients will cause a simultaneous
shift along the reflectors' longitudes or rotation around the Y axis.
Received: 21 August 1996 / Accepted: 17 November 1998 相似文献
4.
J. Feltens 《Journal of Geodesy》2008,82(8):493-504
Vector-based algorithms for the computation of azimuth, elevation and the ellipsoidal normal unit vector from 3D Cartesian
coordinates are presented. As a by-product, the formulae for the ellipsoidal normal vector can also be used to iteratively
transform rectangular Cartesian coordinates (X, Y, Z) into geodetic coordinates (φ, λ, h) for a height range from −5600 km to 108 km. Comparisons with existing methods indicate that the new transformation can compete with them. 相似文献
5.
6.
Iterative vector methods for computing geodetic latitude and height from rectangular coordinates 总被引：4，自引：4，他引：4
J. Pollard 《Journal of Geodesy》2002,76(1):36-40
Two iterative vector methods for computing geodetic coordinates (φ, h) from rectangular coordinates (x, y, z) are presented. The methods are conceptually simple, work without modification at any latitude and are easy to program. Geodetic
latitude and height can be calculated to acceptable precision in one iteration over the height range from −106 to +109 m.
Received: 13 December 2000 / Accepted: 13 July 2001 相似文献
7.
An algorithm for very accurate absolute positioning through Global Positioning System (GPS) satellite clock estimation has
been developed. Using International GPS Service (IGS) precise orbits and measurements, GPS clock errors were estimated at
30-s intervals. Compared to values determined by the Jet Propulsion Laboratory, the agreement was at the level of about 0.1 ns
(3 cm). The clock error estimates were then applied to an absolute positioning algorithm in both static and kinematic modes.
For the static case, an IGS station was selected and the coordinates were estimated every 30 s. The estimated absolute position
coordinates and the known values had a mean difference of up to 18 cm with standard deviation less than 2 cm. For the kinematic
case, data obtained every second from a GPS buoy were tested and the result from the absolute positioning was compared to
a differential GPS (DGPS) solution. The mean differences between the coordinates estimated by the two methods are less than
40 cm and the standard deviations are less than 25 cm. It was verified that this poorer standard deviation on 1-s position
results is due to the clock error interpolation from 30-s estimates with Selective Availability (SA). After SA was turned
off, higher-rate clock error estimates (such as 1 s) could be obtained by a simple interpolation with negligible corruption.
Therefore, the proposed absolute positioning technique can be used to within a few centimeters' precision at any rate by estimating
30-s satellite clock errors and interpolating them.
Received: 16 May 2000 / Accepted: 23 October 2000 相似文献
8.
Fast transform from geocentric to geodetic coordinates 总被引：3，自引：0，他引：3
T. Fukushima 《Journal of Geodesy》1999,73(11):603-610
A new iterative procedure to transform geocentric rectangular coordinates to geodetic coordinates is derived. The procedure
solves a modification of Borkowski's quartic equation by the Newton method from a set of stable starters. The new method runs
a little faster than the single application of Bowring's formula, which has been known as the most efficient procedure. The
new method is sufficiently precise because the resulting relative error is less than 10−15, and this method is stable in the sense that the iteration converges for all coordinates including the near-geocenter region
where Bowring's iterative method diverges and the near-polar axis region where Borkowski's non-iterative method suffers a
loss of precision.
Received: 13 November 1998 / Accepted: 27 August 1999 相似文献
9.
Based upon a data set of 25 points of the Baltic Sea Level Project, second campaign 1993.4, which are close to mareographic
stations, described by (1) GPS derived Cartesian coordinates in the World Geodetic Reference System 1984 and (2) orthometric
heights in the Finnish Height Datum N60, epoch 1993.4, we have computed the primary geodetic parameter W
0(1993.4) for the epoch 1993.4 according to the following model. The Cartesian coordinates of the GPS stations have been converted
into spheroidal coordinates. The gravity potential as the additive decomposition of the gravitational potential and the centrifugal
potential has been computed for any GPS station in spheroidal coordinates, namely for a global spheroidal model of the gravitational
potential field. For a global set of spheroidal harmonic coefficients a transformation of spherical harmonic coefficients
into spheroidal harmonic coefficients has been implemented and applied to the global spherical model OSU 91A up to degree/order
360/360. The gravity potential with respect to a global spheroidal model of degree/order 360/360 has been finally transformed
by means of the orthometric heights of the GPS stations with respect to the Finnish Height Datum N60, epoch 1993.4, in terms
of the spheroidal “free-air” potential reduction in order to produce the spheroidal W
0(1993.4) value. As a mean of those 25 W
0(1993.4) data as well as a root mean square error estimation we computed W
0(1993.4)=(6 263 685.58 ± 0.36) kgal × m. Finally a comparison of different W
0 data with respect to a spherical harmonic global model and spheroidal harmonic global model of Somigliana-Pizetti type (level
ellipsoid as a reference, degree/order 2/0) according to The Geodesist's Handbook 1992 has been made.
Received: 7 November 1996 / Accepted: 27 March 1997 相似文献
10.
Station coordinates are combined with velocities estimated by space geodesy techniques to produce the International Terrestrial
Reference System. The input is sets of coordinates and velocities calculated by International Earth Rotation Service analysis
centers using space geodesy techniques. The working reference system of individual analysis centers is generally conventionally
defined. However, the implications of such processing can have an effect on the resulting combined set. The problem of datum
definition as a function of coordinate combinations is reviewed. In particular, the problem of minimum constraints is clearly
emphasized and the reference system effect is defined. The goal is to build a process that could be used generally to remove
uncertainties in the underlying coordinate system without disturbing the underlying information with additional unnecessary
information.
Received: 25 January 1999 / Accepted: 20 September 2000 相似文献
11.
Geostatistical incorporation of spatial coordinates into supervised classification of hyperspectral data 总被引：1，自引：0，他引：1
P. Goovaerts 《Journal of Geographical Systems》2002,4(1):99-111
This paper presents a methodology to incorporate both hyperspectral properties and spatial coordinates of pixels in maximum
likelihood classification. Indicator kriging of ground data is used to estimate, for each pixel, the prior probabilities of
occurrence of classes which are then combined with spectral-based probabilities within a Bayesian framework. In the case study
(mapping of in-stream habitats), accounting for spatial coordinates increases the overall producer's accuracy from 85.8% to
93.8%, while the Kappa statistic rises from 0.74 to 0.88. Best results are obtained using only indicator kriging-based probabilities,
with a stunning overall accuracy of 97.2%. Significant improvements are observed for environmentally important units, such
as pools (Kappa: 0.17 to 0.74) and eddy drop zones (Kappa: 0.65 to 0.87). The lack of benefit of using hyperspectral information
in the present study can be explained by the dense network of ground observations and the high spatial continuity of field
classification which might be spurious.
Received: 12 April 2001 / Accepted: 7 September 2001 相似文献
12.
The weighted Procrustes algorithm is presented as a very effective tool for solving the three-dimensional datum transformation
problem. In particular, the weighted Procrustes algorithm does not require any initial datum parameters for linearization
or any iteration procedure. As a closed-form algorithm it only requires the values of Cartesian coordinates in both systems
of reference. Where there is some prior information about the variance–covariance matrix of the two sets of Cartesian coordinates,
also called pseudo-observations, the weighted Procrustes algorithm is able to incorporate such a quality property of the input
data by means of a proper choice of weight matrix. Such a choice is based on a properly designed criterion matrix which is
discussed in detail. Thanks to the weighted Procrustes algorithm, the problem of incorporating the stochasticity measures
of both systems of coordinates involved in the seven parameter datum transformation problem [conformal group ℂ7(3)] which is free of linearization and any iterative procedure can be considered to be solved. Illustrative examples are
given.
Received: 7 January 2002 / Accepted: 9 September 2002
Correspondence to: E. W. Grafarend 相似文献
13.
A canonical theory for short GPS baselines.
Part II: the ambiguity precision and correlation 总被引：1，自引：0，他引：1
P. J. G. Teunissen 《Journal of Geodesy》1997,71(7):389-401
The present contribution is the second of four parts. It considers the precision and correlation of the least-squares estimators
of the carrier phase ambiguities. It is shown how the precision and correlation of the double-differenced ambiguities as well
as of the widelane ambiguities are effected by the observation weights, by the number of satellites tracked, by the number
of observation epochs used, and by the change over time of the relative receiver-satellite geometry. Also the ability of the
widelane transformation to decorrelate and to improve the precision is investigated.
Received: 16 July 1996 / Accepted: 14 November 1996 相似文献
14.
Marcin Ligas 《Journal of Geodesy》2012,86(4):249-256
A new method of transforming Cartesian to geodetic (or planetographic) coordinates on a triaxial ellipsoid is presented. The
method is based on simple reasoning coming from essentials of vector calculus. The reasoning results in solving a nonlinear
system of equations for coordinates of the point being the projection of a point located outside or inside a triaxial ellipsoid
along the normal to the ellipsoid. The presented method has been compared to a vector method of Feltens (J Geod 83:129–137,
2009) who claims that no other methods are available in the literature. Generally, our method turns out to be more accurate, faster
and applicable to celestial bodies characterized by different geometric parameters. The presented method also fits to the
classical problem of converting Cartesian to geodetic coordinates on the ellipsoid of revolution. 相似文献
15.
A wide-angle airborne laser ranging system (WA-ALRS) is developed at the Institut Géographique National (IGN), France, with
the aim of providing a new geodesy technique devoted to large (100 km2) networks with a high density (1 km−2) of benchmarks. The main objective is to achieve a 1-mm accuracy in relative vertical coordinates from aircraft measurements
lasting a few hours. This paper reviews the methodology and analyzes the first experimental data achieved from a specific
ground-based experiment. The accuracy in relative coordinate estimates is studied with the help of numerical simulations.
It is shown that strong accuracy limitations arise with a small laser beam divergence combined with short range measurements
when relatively few simultaneous range data are produced. The accuracy is of a few cm in transverse coordinates and a few
mm in radial coordinates. The results from ground-based experimental data are fairly compatible with these predictions. The
use of a model for systematic errors in the vehicle trajectory is shown to be necessary to achieve such a high accuracy. This
work yields the first complete validation of modelization and methodology of this technique. An accuracy better than 1 mm
and a few mm in vertical and horizontal coordinates, respectively, is predicted for aircraft experiments.
Received: 19 June 1997 / Accepted: 17 February 1998 相似文献
16.
The differential equations which generate a general conformal mapping of a two-dimensional Riemann manifold found by Korn
and Lichtenstein are reviewed. The Korn–Lichtenstein equations subject to the integrability conditions of type vectorial Laplace–Beltrami
equations are solved for the geometry of an ellipsoid of revolution (International Reference Ellipsoid), specifically in the
function space of bivariate polynomials in terms of surface normal ellipsoidal longitude and ellipsoidal latitude. The related
coefficient constraints are collected in two corollaries. We present the constraints to the general solution of the Korn–Lichtenstein
equations which directly generates Gau?–Krüger conformal coordinates as well as the Universal Transverse Mercator Projection
(UTM) avoiding any intermediate isometric coordinate representation. Namely, the equidistant mapping of a meridian of reference
generates the constraints in question. Finally, the detailed computation of the solution is given in terms of bivariate polynomials
up to degree five with coefficients listed in closed form.
Received: 3 June 1997 / Accepted: 17 November 1997 相似文献
17.
H. Vermeille 《Journal of Geodesy》2002,76(8):451-454
The transformation from geocentric coordinates to geodetic coordinates is usually carried out by iteration. A closed-form
algebraic method is proposed, valid at any point on the globe and in space, including the poles, regardless of the value of
the ellipsoid's eccentricity.
Received: 14 August 2000 / Accepted: 26 June 2002 相似文献
18.
J. Feltens 《Journal of Geodesy》2011,85(4):239-254
The vector-based algorithms for biaxial and triaxial ellipsoidal coordinates presented by Feltens (J Geod 82:493–504, 2008; 83:129–137, 2009) have been extended to hyperboloids of one sheet. For the backward transformation from Cartesian to hyperboloidal coordinates,
of two iterative process candidates one was identified to be well suited. It turned out that a careful selection of the center
of curvature is essential for the establishment of a stable and reliable iteration process. In addition, for zero hyperboloidal
heights a closed solution is presented. The hyperboloid algorithms are again based on simple formulae and have been successfully
tested for various theoretical hyperboloids. The paper concludes with a practical application example on a cooling tower construction. 相似文献
19.
We have calculated vertical velocities and their change in time from three precise levellings in Finland, with central epochs
1902, 1946, and 1986. Models with and without simultaneous determination of heights give the same results for velocities.
Evidence for velocity change in time appears at first sight strong but on closer examination turns out to be inconclusive.
We offer an alternative explanation in terms of levelling errors and estimate them. A new uplift map closely reproduces main
features of earlier maps from partial data, but does not support some details in them.
Received: 27 January 1997/ Accepted: 20 April 1998 相似文献
20.
Apropos laser tracking to GPS satellites 总被引：3，自引：0，他引：3
. Laser tracking to GPS satellites (PRN5 and 6) provides an opportunity to compare GPS and laser systems directly and to combine
data of both in a single solution. A few examples of this are given in this study. The most important results of the analysis
are that (1) daily SLR station coordinate solutions could be generated with a few cm accuracy; (2) coordinates of nine stations
were determined in a 2.3-year-long arc solution; (3) the contribution of laser data on the `SLR-GPS' combined orbit, resulting
from the simultaneous processing of SLR and GPS data, is significant and (4) laser-only orbits have an accuracy of 10–20 cm,
1-day predictions of SLR orbits differ from IGS orbits by about 20–40 cm, 2-day predictions by 50–60 cm.
Received: 1 October 1996 / Accepted: 14 February 1997 相似文献