# Measurement-based perturbation theory and differential equation parameter estimation with applications to satellite gravimetry

@article{Xu2018MeasurementbasedPT, title={Measurement-based perturbation theory and differential equation parameter estimation with applications to satellite gravimetry}, author={Peiliang Xu}, journal={Commun. Nonlinear Sci. Numer. Simul.}, year={2018}, volume={59}, pages={515-543} }

## 5 Citations

### Numerical solution of ordinary differential equations in geodetic science using adaptive Gauss numerical integration method: Numerical solution of ordinary differential equations in geosciences: applications in satellite geodesy

- Physics
- 2020

In this paper a new method of numerically solving ordinary differential equations is presented. This method is based on the Gaussian numerical integration of different orders. Using two different…

### Regularized reconstruction of peak ground velocity and acceleration from very high-rate GNSS precise point positioning with applications to the 2013 Lushan Mw6.6 earthquake

- PhysicsJournal of Geodesy
- 2021

Difference methods have been routinely used to compute velocity and acceleration from precise positioning with global navigation satellite systems (GNSS). A low sampling rate (say a rate not greater…

### About the decision regularized equations of perturbed motion body

- MathematicsE3S Web of Conferences
- 2019

The article deals with determination of the second- and higher-order perturbations in Cartesian coordinates and body motion velocity constituents. A special perturbed motion differential equations…

### Solving regularized equations in the form of polynomials

- MathematicsE3S Web of Conferences
- 2020

The article is devoted to the determination of second-order perturbations in rectangular coordinates and components of the body motion to be under study. The main difficulty in solving this problem…

### AN OPEN SOURCE WEB-GIS BASED PRECISE SATELLITE TRACKING AND VISUALISATION TOOL USING TWO LINE ELEMENT DATA

- Computer ScienceISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences
- 2018

A systematic approach has been utilised to develop a generic open-source Web-GIS based tool that incorporates a PostgreSQL database for storing the parsed TLE data which are freely available on the CelesTrak (NORAD) repository.

## References

SHOWING 1-10 OF 139 REFERENCES

### Simulation study of a low-low satellite-to-satellite tracking mission

- Physics
- 2000

The Gravity Recovery and Climate Experiment (GRACE) is a dedicated spaceborne mission to map the Earth's gravity field with unprecedented accuracy. The GRACE mission is planned to launch in 2001, for…

### Do We Need New Gravity Field Recovery Techniques for the New Gravity Field Satellites

- Geology, Physics
- 2008

The classical approach of satellite geodesy consists in deriving the spherical harmonic coefficients representing the gravitational potential from an analysis of accumulated orbit perturbations of…

### The celestial mechanics approach: theoretical foundations

- Geology
- 2010

Gravity field determination using the measurements of Global Positioning receivers onboard low Earth orbiters and inter-satellite measurements in a constellation of satellites is a generalized orbit…

### Earth's gravity field to the sixteenth degree and station coordinates from satellite and terrestrial data

- Geology
- 1971

Geodetic parameters describing the earth's gravity field and the positions of satellite-tracking stations in a geocentric reference frame have been computed. These parameters were estimated by means…

### A new gravitational model for the earth from satellite tracking data - GEM-T1

- Physics
- 1988

A major new computation of a terrestrial gravitational field model has been performed by the Geodynamics Branch of Goddard Space Flight Center (GSFC). In the development of this new model, designated…

### Earth's gravity field to the eighteenth degree and geocentric coordinates for 104 stations from satellite and terrestrial data

- Geology
- 1974

Geodetic parameters describing the earth's gravity field and the positions of satellite-tracking stations in a geocentric reference frame have been computed. These parameters were estimated by means…

### Harmonic analysis of the Earth's gravitational field by means of semi-continuous ephemerides of a low Earth orbiting GPS-tracked satellite. Case study: CHAMP

- Physics
- 2003

Abstract.An algorithm for the determination of the spherical harmonic coefficients of the terrestrial gravitational field representation from the analysis of a kinematic orbit solution of a low earth…

### Global Gravity Field Recovery Using Solely GPS Tracking and Accelerometer Data from Champ

- Physics
- 2003

A new long-wavelength global gravity field model, called EIGEN-1, has been derived in a joint German-French effort from orbit perturbations of the CHAMP satellite, exploiting CHAMP-GPS…

### A technique for modeling the Earth’s gravity field on the basis of satellite accelerations

- Physics
- 2004

Theoretical considerations, supported by a numerical study, show that the proposed technique is more accurate than the energy balance approach and leads to approximately the same results as the traditional one.