Numerical Methods for Orbit Determination of Artificial Satellites

2010 ◽  
Author(s):  
V. Arroyo ◽  
A. Cordero ◽  
J.R. Torregrosa
Keyword(s):  
Numerical Methods ◽  
Orbit Determination ◽  
Artificial Satellites

scholarly journals Effect of the Gravitational Aberration on the Earth Gravity Field

2021 ◽  
Vol 56 (1) ◽  
pp. 1-9
Author(s):  
Janusz B. Zieliński ◽  
Vladimir V. Pashkevich
Keyword(s):  
Gravity Field ◽  
Orbit Determination ◽  
Artificial Satellites ◽  
Finite Speed ◽  
Earth Gravity Field ◽  
Earth Gravity ◽  
The Earth ◽  
First Approximation ◽  
Classic Theory

Abstract Discussing the problem of the external gravitational potential of the rotating Earth, we have to consider the fundamental postulate of the finite speed of the propagation of gravitation. This can be done using the expressions for the gravitational aberration compared to the Liénard–Wiechert solution of the retarded potentials. The term gravitational counter-aberration or co-aberration is introduced to describe the pattern of the propagation of the gravitational signal emitted by the rotating Earth. It is proved that in the first approximation, the classic theory of the aberration of light can be applied to calculate this effect. Some effects of the gravitational aberration on the external gravity field of the rotating Earth may influence the orbit determination of the Earth artificial satellites.

scholarly journals New Observational Techniques and Precise Orbit Determination of Artificial Satellites

1997 ◽  
Vol 165 ◽  
pp. 79-85
Author(s):  
B. E. Schutz
Keyword(s):  
High Precision ◽  
Orbit Determination ◽  
Precise Orbit Determination ◽  
Artificial Satellites ◽  
Satellite Position ◽  
Determination Methods ◽  
Classical Orbit ◽  
Observational Techniques ◽  
Better Than

AbstractModern observational techniques using ground-based and space-based instrumentation have enabled the measurement of the distance between the instrument and satellite to better than one centimeter. Such high precision instrumentation has fostered applications with centimeter-level requirements for satellite position knowledge. The determination of the satellite position to such accuracy requires a comparable modeling of the forces experienced by the satellite, especially when classical orbit determination methods are used. Geodetic satellites, such as Lageos, in conjunction with high precision ground-based laser ranging, have been used to improve for modeling of forces experienced by the satellite. Space-based techniques, such as Global Positioning System (GPS), offer alternatives, including kinematic techniques which require no modeling of the satellite forces, or only rudimentary models. This paper will describe the various techniques and illustrate the accuracies achieved with current satellites, such as TOPEX/POSEIDON, GPS/MET and the expectations for some future satellites.

scholarly journals A Second-Order Time-Difference Position Constrained Reduced-Dynamic Technique for the Precise Orbit Determination of LEOs Using GPS

2021 ◽  
Vol 13 (15) ◽  
pp. 3033
Author(s):  
Hui Wei ◽  
Jiancheng Li ◽  
Xinyu Xu ◽  
Shoujian Zhang ◽  
Kaifa Kuang
Keyword(s):  
Orbit Determination ◽  
Dynamic Models ◽  
Precise Orbit Determination ◽  
Second Order ◽  
Time Difference ◽  
Error Sources ◽  
Precise Orbit ◽  
Unmodeled Dynamic ◽  
Reduced Dynamic

In this paper, we propose a new reduced-dynamic (RD) method by introducing the second-order time-difference position (STP) as additional pseudo-observations (named the RD_STP method) for the precise orbit determination (POD) of low Earth orbiters (LEOs) from GPS observations. Theoretical and numerical analyses show that the accuracies of integrating the STPs of LEOs at 30 s intervals are better than 0.01 m when the forces (<10−5 ms−2) acting on the LEOs are ignored. Therefore, only using the Earth’s gravity model is good enough for the proposed RD_STP method. All unmodeled dynamic models (e.g., luni-solar gravitation, tide forces) are treated as the error sources of the STP pseudo-observation. In addition, there are no pseudo-stochastic orbit parameters to be estimated in the RD_STP method. Finally, we use the RD_STP method to process 15 days of GPS data from the GOCE mission. The results show that the accuracy of the RD_STP solution is more accurate and smoother than the kinematic solution in nearly polar and equatorial regions, and consistent with the RD solution. The 3D RMS of the differences between the RD_STP and RD solutions is 1.93 cm for 1 s sampling. This indicates that the proposed method has a performance comparable to the RD method, and could be an alternative for the POD of LEOs.

scholarly journals Evaluation of DTRF2014, ITRF2014, and JTRF2014 by Precise Orbit Determination of SLR Satellites

2018 ◽  
Vol 56 (6) ◽  
pp. 3148-3158 ◽  
Author(s):  
Sergei Rudenko ◽  
Mathis BloBfeld ◽  
Horst Muller ◽  
Denise Dettmering ◽  
Detlef Angermann ◽  
...  
Keyword(s):  
Orbit Determination ◽  
Precise Orbit Determination ◽  
Precise Orbit
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