Impact of the terrestrial reference frame on the determination of the celestial reference frame

A closed form of an algorithm to determine a Global Positioning System (GPS) satellite's position, velocity and acceleration is proposed, and an Earth Centred Earth Fixed (ECEF) to Earth Centred Inertial (ECI) transformation result using the Civil Navigation (CNAV) message is presented in this paper. To obtain the closed form of the GPS satellite velocity and acceleration determination algorithm using the CNAV, we analytically differentiated the IS-GPS-200F position determination function. The calculated data are transformed from the International Terrestrial Reference Frame (ITRF) to the Geocentric Celestial Reference Frame (GCRF) using an equinox-based transform algorithm that is defined in the IAU-2000 resolution system using the Earth Orientation Parameter (EOP) data. To verify the correctness of the proposed velocity and acceleration determination algorithm, the analytical results are compared to the numerical result. The equinox-based transformation result is compared to simple rotation about the z-axis, which does not use the EOP. The results show that by using the proposed algorithm and the equinox-based transformation together, the user can obtain more accurate navigation data in the ECI frame.

Download Full-text

Impact of loading effects on determination of the International Terrestrial Reference Frame

Advances in Space Research ◽

10.1016/j.asr.2009.08.024 ◽

2010 ◽

Vol 45 (1) ◽

pp. 144-154 ◽

Cited By ~ 47

Author(s):

Xavier Collilieux ◽

Zuheir Altamimi ◽

David Coulot ◽

Tonie van Dam ◽

Jim Ray

Keyword(s):

Reference Frame ◽

Terrestrial Reference Frame ◽

International Terrestrial Reference Frame ◽

Loading Effects

Download Full-text

Unconstrained Estimation of VLBI Global Observing System Station Coordinates

Advances in Geosciences ◽

10.5194/adgeo-55-23-2021 ◽

2021 ◽

Vol 55 ◽

pp. 23-31

Author(s):

Markus Mikschi ◽

Johannes Böhm ◽

Matthias Schartner

Keyword(s):

Reference Frame ◽

Terrestrial Reference Frame ◽

Baseline Length ◽

Radio Telescopes ◽

Earth Orientation Parameters ◽

The Earth ◽

Station Coordinates ◽

International Vlbi Service ◽

Orientation Parameters

Abstract. The International VLBI Service for Geodesy and Astrometry (IVS) is currently setting up a network of smaller and thus faster radio telescopes observing at broader bandwidths for improved determination of geodetic parameters. However, this new VLBI Global Observing System (VGOS) network is not yet strongly linked to the legacy S/X network and the International Terrestrial Reference Frame (ITRF) as only station WESTFORD has ITRF2014 coordinates. In this work, we calculated VGOS station coordinates based on publicly available VGOS sessions until the end of 2019 while defining the geodetic datum by fixing the Earth orientation parameters and the coordinates of the WESTFORD station in an unconstrained adjustment. This set of new coordinates allows the determination of geodetic parameters from the analysis of VGOS sessions, which would otherwise not be possible. As it is the concept of VGOS to use smaller, faster slewing antennas in order to increase the number of observations, shorter estimation intervals for the zenith wet delays and the tropospheric gradients along with different relative constraints were tested and the best performing parametrization, judged by the baseline length repeatability, was used for the estimation of the VGOS station coordinates.

Download Full-text

Determination of a terrestrial reference frame via Kalman filtering of very long baseline interferometry data

Journal of Geodesy ◽

10.1007/s00190-016-0924-7 ◽

2016 ◽

Vol 90 (12) ◽

pp. 1311-1327 ◽

Cited By ~ 5

Author(s):

Benedikt Soja ◽

Tobias Nilsson ◽

Kyriakos Balidakis ◽

Susanne Glaser ◽

Robert Heinkelmann ◽

...

Keyword(s):

Reference Frame ◽

Kalman Filtering ◽

Very Long Baseline Interferometry ◽

Terrestrial Reference Frame ◽

Long Baseline

Download Full-text

Earth Rotation in the Hipparcos Reference Frame

International Astronomical Union Colloquium ◽

10.1017/s0252921100046431 ◽

1997 ◽

Vol 165 ◽

pp. 115-122 ◽

Cited By ~ 1

Author(s):

J. Vondrák ◽

C. Ron ◽

I. Pešek

Keyword(s):

Mathematical Model ◽

Reference Frame ◽

Rheological Parameters ◽

Earth Orientation Parameters ◽

The Earth ◽

Celestial Pole ◽

The Mathematical Model ◽

Orientation Parameters ◽

Celestial Reference Frame

AbstractNew determination of the Earth orientation parameters (EOP), based on optical astrometry observations since the beginning of the century, is now under preparation by the Working group established by Commission 19 of the IAU. The Hipparcos catalog is to define the celestial reference frame in which the new series of EOP are to be described. The novelties of the prepared solution are the higher resolution (5 days) and more parameters estimated from the solution (celestial pole offsets, rheological parameters of the Earth, certain instrumental constants). The mathematical model of the solution is described, and the results based on the observations made with 46 instruments at 29 observatories and a preliminary Hipparcos catalog are presented.

Download Full-text

On the determination of terrestrial reference frame by SLR and GPS techniques

Journal of Geodynamics ◽

10.1016/0264-3707(96)00009-9 ◽

1996 ◽

Vol 22 (1-2) ◽

pp. 63-77

Author(s):

H. Montag ◽

G. Gendt ◽

P. Wilson

Keyword(s):

Reference Frame ◽

Terrestrial Reference Frame

Download Full-text

Formation of The International Celestial Reference Frame

Highlights of Astronomy ◽

10.1017/s153929960002075x ◽

1998 ◽

Vol 11 (1) ◽

pp. 281-286

Author(s):

C. Ma ◽

E.F. Arias ◽

T.M. Eubanks ◽

A.L. Fey ◽

A.-M. Gontier ◽

...

Keyword(s):

Reference Frame ◽

Reference Frames ◽

Terrestrial Reference Frame ◽

Naval Research ◽

Dual Frequency ◽

Cooperative Effort ◽

Space Navigation ◽

Vlbi Observations ◽

Crustal Dynamics ◽

Celestial Reference Frame

The goal of the work described here is to create the definitive catalogue for the new International Celestial Reference Frame (ICRF) using the best data and methods available at the time the work was done. This work is the joint cooperative effort of a subgroup of the IAU Working Group on Reference Frames which was formed expressly for this purpose in February 1995. The authors of this report constituted the subgroup. A fuller account of this report can be found in the introduction to the ICRF catalog (IERS 1997). The ICRF of 608 sources presented here is based on essentially all the VLBI observations accu-mulated over about 15 years in several worldwide programs. Dual frequency Mark III data have both geodetic and astrometric applications. Most of the data (95% of nearly 2 million observations) were acquired primarily for geodetic purposes. The major geodetic programs include: NASA’s Crustal Dynamics Project/Space Geodesy Program and USNO’s NAVEX sessions for the terrestrial reference frame, as well as IRIS, NAVNET and NEOS sessions for monitoring Earth rotation. The geodetic programs have used the brightest radio sources, gradually concentrating on the most com-pact as sensitivity improved. These geodetic sources were also the foundation of astrometric work because of the large number of observations for the ~150 most commonly used. The astrometric programs which densify the sky include the Radio-Optical Reference Frame sessions done by US Naval Research Laboratory (NRL) and USNO and the space navigation efforts of Jet Propulsion Laboratory (JPL).

Download Full-text

CQSSP: A New Technique for Establishing the Tie Between the Stellar and Quasar Celestial Reference Frames

International Astronomical Union Colloquium ◽

10.1017/s0252921100064174 ◽

1991 ◽

Vol 127 ◽

pp. 341-347

Author(s):

T. Schildknecht ◽

I. Bauersima ◽

U. Hugentobler ◽

A. Verdun ◽

G. Beutler

Keyword(s):

Reference Frame ◽

Earth Rotation ◽

Reference Frames ◽

Terrestrial Reference Frame ◽

Optical Observations ◽

Artificial Satellites ◽

Satellite Orbits ◽

Earth Rotation Parameters ◽

A New Technique ◽

Celestial Reference Frame

AbstractUsing artificial satellites as transfer objects the project “Coupled Quasar-Satellite-Star Positioning” represents an independent method for linking quasar and stellar reference frames. Optical observations of close approaches between reference stars and satellites yield satellite positions in the stellar reference frame. On the other hand high precision satellite orbits in the International Earth Rotation Service (IERS) terrestrial reference frame are obtained from laser or radiometric observations. Using IERS earth rotation parameters and adopted transformation models the satellite and eventually the star positions can be expressed in the IERS quasar celestial reference frame. In this paper we describe the CQSSP project and assess its capability for providing an accurate tie between tho two metioned celestial reference frames.

Download Full-text

The determination of the fluctuations in the rotation of the Earth

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences ◽

10.1098/rsta.1984.0085 ◽

1984 ◽

Vol 313 (1524) ◽

pp. 85-94 ◽

Cited By ~ 3

Keyword(s):

Reference Frame ◽

Terrestrial Reference Frame ◽

Quality Data ◽

Operational Experience ◽

Data Set ◽

The Earth ◽

New Space ◽

Rotation Of The Earth ◽

International Services

In recent years new space techniques have been used to determine with higher precision the fluctuations in the rate of rotation of the Earth and in the motion of the pole of rotation with respect to the conventional terrestrial reference frame. The international MERIT-COTES programme of observation and analysis is now in progress and is providing a high-quality data set for use in the study of the nature and causes of the fluctuations and in the determination of the relationships between the reference systems of the different techniques. The results and operational experience gained will be reviewed to provide a basis for recommendations about the future international services for Earth-rotation and for the establishment and maintenance of a new terrestrial reference frame.

Download Full-text