Measuring the Deflection of the Vertical via Local Reference Point Surveying and Pointing Calibration of a VLBI Telescope: A Case Study at the Urumqi Station

Abstract According to Newton's law of universal gravitation, the movement of matter and the change in density cause a gravitational variation. Due to the anisotropic distribution of matter, the vertical and the normal directions at a point on the ground are probably inconsistent, which is refer...

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Main Authors: Zhibin Zhang, Xiaohui Ma, Zhongmiao Sun, Ali Zhang, Ye Yuan, Zhengxiong Sun
Format: Article
Language:English
Published: American Geophysical Union (AGU) 2021-10-01
Series:Earth and Space Science
Subjects:
Online Access:https://doi.org/10.1029/2021EA001781
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author Zhibin Zhang
Xiaohui Ma
Zhongmiao Sun
Ali Zhang
Ye Yuan
Zhengxiong Sun
author_facet Zhibin Zhang
Xiaohui Ma
Zhongmiao Sun
Ali Zhang
Ye Yuan
Zhengxiong Sun
author_sort Zhibin Zhang
collection DOAJ
description Abstract According to Newton's law of universal gravitation, the movement of matter and the change in density cause a gravitational variation. Due to the anisotropic distribution of matter, the vertical and the normal directions at a point on the ground are probably inconsistent, which is referred to as the deflection of the vertical (DOV) and is indispensable to astrogeodetic and geophysics research. Two new non‐optical methods, including small network transformation and azimuth‐axis inclination inversion, are proposed to determine the DOV at a very long baseline interferometry (VLBI) telescope at the Urumqi station. A generalized expression of the pointing calibration model considering axis‐related errors is also presented. Therefore, the pointing calibration model and indirect model used for reference point (RP) determination are unified by redefining their coordinate system, angle direction, and axis‐related errors. The DOV given by the small network transformation agrees well with the DOVs determined by the real surveying and other different models. Due to the possible asymmetric coverage of calibrating sources in the north‐south direction in antenna pointing calibration, the north‐south DOV component based on azimuth‐axis inclination inversion differs from the surveyed value. However, the west‐east DOV component fits well in both direction and magnitude. The proposed methods enable the VLBI telescope to sense the direction of the local plumb line by introducing local leveling. We also establish the connections among VLBI delay observation, RP determination, and telescope pointing calibration, which has a benefit to multi‐tech systematic error identification, monitoring, and correction. The research indicates that telescope point calibration can also be taken as a regular technique to monitor systematic error.
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spelling doaj.art-53f22718fa4f42739c6d4212c0f98c062022-12-21T23:08:03ZengAmerican Geophysical Union (AGU)Earth and Space Science2333-50842021-10-01810n/an/a10.1029/2021EA001781Measuring the Deflection of the Vertical via Local Reference Point Surveying and Pointing Calibration of a VLBI Telescope: A Case Study at the Urumqi StationZhibin Zhang0Xiaohui Ma1Zhongmiao Sun2Ali Zhang3Ye Yuan4Zhengxiong Sun5Shanghai Astronomical Observatory Chinese Academy of Sciences Shanghai ChinaXi'an Research Institute of Surveying and Mapping Xi'an ChinaXi'an Research Institute of Surveying and Mapping Xi'an ChinaXinjiang Astronomical Observatory Chinese Academy of Sciences Urumqi ChinaXinjiang Astronomical Observatory Chinese Academy of Sciences Urumqi ChinaShanghai Astronomical Observatory Chinese Academy of Sciences Shanghai ChinaAbstract According to Newton's law of universal gravitation, the movement of matter and the change in density cause a gravitational variation. Due to the anisotropic distribution of matter, the vertical and the normal directions at a point on the ground are probably inconsistent, which is referred to as the deflection of the vertical (DOV) and is indispensable to astrogeodetic and geophysics research. Two new non‐optical methods, including small network transformation and azimuth‐axis inclination inversion, are proposed to determine the DOV at a very long baseline interferometry (VLBI) telescope at the Urumqi station. A generalized expression of the pointing calibration model considering axis‐related errors is also presented. Therefore, the pointing calibration model and indirect model used for reference point (RP) determination are unified by redefining their coordinate system, angle direction, and axis‐related errors. The DOV given by the small network transformation agrees well with the DOVs determined by the real surveying and other different models. Due to the possible asymmetric coverage of calibrating sources in the north‐south direction in antenna pointing calibration, the north‐south DOV component based on azimuth‐axis inclination inversion differs from the surveyed value. However, the west‐east DOV component fits well in both direction and magnitude. The proposed methods enable the VLBI telescope to sense the direction of the local plumb line by introducing local leveling. We also establish the connections among VLBI delay observation, RP determination, and telescope pointing calibration, which has a benefit to multi‐tech systematic error identification, monitoring, and correction. The research indicates that telescope point calibration can also be taken as a regular technique to monitor systematic error.https://doi.org/10.1029/2021EA001781VLBIdeflection of the verticalreference pointaxis‐related errorsaxis offset
spellingShingle Zhibin Zhang
Xiaohui Ma
Zhongmiao Sun
Ali Zhang
Ye Yuan
Zhengxiong Sun
Measuring the Deflection of the Vertical via Local Reference Point Surveying and Pointing Calibration of a VLBI Telescope: A Case Study at the Urumqi Station
Earth and Space Science
VLBI
deflection of the vertical
reference point
axis‐related errors
axis offset
title Measuring the Deflection of the Vertical via Local Reference Point Surveying and Pointing Calibration of a VLBI Telescope: A Case Study at the Urumqi Station
title_full Measuring the Deflection of the Vertical via Local Reference Point Surveying and Pointing Calibration of a VLBI Telescope: A Case Study at the Urumqi Station
title_fullStr Measuring the Deflection of the Vertical via Local Reference Point Surveying and Pointing Calibration of a VLBI Telescope: A Case Study at the Urumqi Station
title_full_unstemmed Measuring the Deflection of the Vertical via Local Reference Point Surveying and Pointing Calibration of a VLBI Telescope: A Case Study at the Urumqi Station
title_short Measuring the Deflection of the Vertical via Local Reference Point Surveying and Pointing Calibration of a VLBI Telescope: A Case Study at the Urumqi Station
title_sort measuring the deflection of the vertical via local reference point surveying and pointing calibration of a vlbi telescope a case study at the urumqi station
topic VLBI
deflection of the vertical
reference point
axis‐related errors
axis offset
url https://doi.org/10.1029/2021EA001781
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