Construction of regional geoid using a virtual spherical harmonics model
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Jianqiang Wang
und
Keqiang Wu
Abstract
The spherical cap harmonics (SCH) method can be used in regional geoid modeling. The core of this approach is the computation of its associated Legendre functions (ALF) with non-integer degree. However, it is unlikely to obtain a large number of zero-root values for the non-integer ALF. To overcome this problem, a new approach called virtual spherical harmonics (VSH) is proposed in this paper to transform the cap range into the whole sphere so that unlimited numbers of zero-root values can be obtained. The new approach was tested using four cap ranges with the radii of
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 41304020
Award Identifier / Grant number: 41404026
Award Identifier / Grant number: 41464001
Funding source: China Scholarship Council
Award Identifier / Grant number: 201500880003
Funding statement: This research is supported by the National Natural Science Foundation of China (41304020, 41404026, 41464001) and the China Scholarship Council (201500880003).
Acknowledgment
The authors would like to thank Prof. Kefei Zhang and Dr. Suqin Wu for their assistance with the preparation of this paper.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Research Articles
- Predicting orbit and clock corrections during their outage in real-time positioning using GPS, GLONASS and QZSS for natural hazard warning systems
- Vertical ionospheric delay estimation for single-receiver operation
- The stochastic model for Global Navigation Satellite Systems and terrestrial laser scanning observations: A proposal to account for correlations in least squares adjustment
- Robust external calibration of terrestrial laser scanner and digital camera for structural monitoring
- System identification of a robot arm with extended Kalman filter and artificial neural networks
- Construction of regional geoid using a virtual spherical harmonics model
Artikel in diesem Heft
- Frontmatter
- Research Articles
- Predicting orbit and clock corrections during their outage in real-time positioning using GPS, GLONASS and QZSS for natural hazard warning systems
- Vertical ionospheric delay estimation for single-receiver operation
- The stochastic model for Global Navigation Satellite Systems and terrestrial laser scanning observations: A proposal to account for correlations in least squares adjustment
- Robust external calibration of terrestrial laser scanner and digital camera for structural monitoring
- System identification of a robot arm with extended Kalman filter and artificial neural networks
- Construction of regional geoid using a virtual spherical harmonics model
