Changchun SLR data analysis using different techniques

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Annals of Mathematics and Physics volume5-issue2 articles
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Submitted: July 2, 2022
Published: Jul 7, 2022
DOI: 10.17352/amp.000042
Keywords:
Changchun SLR data, Chebyshev polynomial, Spline technique, Iterative fit, Standard deviation

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Susan W Samwel
National Research Institute of Astronomy and Geophysics, 11421, Helwan, Cairo, Egypt
Zhipeng Liang
Changchun Observatory of National Astronomical Observatories, Chinese Academy of Sciences, Changchun, 130117, China
Yousry S Hanna
National Research Institute of Astronomy and Geophysics, 11421, Helwan, Cairo, Egypt
Adel T Roman
National Research Institute of Astronomy and Geophysics, 11421, Helwan, Cairo, Egypt
Xingwei Han
Key Laboratory of Space object and Debris Observation, Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing, 210008, China
Makram Ibrahim*
National Research Institute of Astronomy and Geophysics, 11421, Helwan, Cairo, Egypt

Abstract

The aim of the present study is to investigate three different techniques for fitting the SLR data observed from the Changchun observatory in China which is characterized by its huge amount of data points and to examine which of the three techniques is more proper for fitting such kind of data. The first technique is the interpolation using the Chebyshev polynomial for fitting the total number of satellite laser ranging (SLR) data points. The second technique is the spline technique which is used for matching continuous intervals for fitting the SLR data. The third technique is the method, which is used at Changchun observatory, known as the Iterative 4th order polynomial fit. The three techniques are applied to 100 samples; 50 samples for the satellite LAGEOS I and the other 50 samples for the satellite Starlette that were observed during the first quarter of 2018. From the obtained results, it is found that the first two techniques, namely the Chebyshev polynomial and Spline techniques provide better standard deviation in comparison to the Iterative 4th order polynomial fit technique that is used at Changchun observatory, with merit to Spline technique over the Chebyshev polynomial.

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Article Details

Samwel, S. W., Liang, Z., Hanna, Y. S., Roman, A. T., Han, X., & Ibrahim, M. (2022). Changchun SLR data analysis using different techniques. Annals of Mathematics and Physics, 5(2), 074–080. https://doi.org/10.17352/amp.000042
Research Articles

Copyright (c) 2022 Samwel SW, et al.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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