Computation of low degree zonal harmonics of the Earth's gravity field using ROCSAT-1 GPS data

Lih Shinn Hwang, Chein-way Hwang

Research output: Contribution to journalArticlepeer-review


The orbit perturbation theory of Kaula was used to derive an approximate analytical formula for near circular orbit and the order-zero formula. With this theory, we tested with different cases of gravity recovery. For one example, computing perturbation components in the radial, along-track and cross-track directions, and exploring Earth's gravity field determination from orbit perturbations. Secondly, one year GPS data of ROCSAT-1 provided by NSPO was processed with two parts. First part is raw data processing. Second part, data obtained from orbit determination is considered to be referenced to the OSU91A geopotential model. Two processed data used orbital theory computing can be used to estimate geopotential model error and compute time variation of geopotential coefficients. Comparision of the monthly value of ΔC20, ΔC30, ΔC40, ΔC50 estimated from ROCSAT-1 GPS data over one year shows periodic vibration. That is, computing gravity field recovery error in low degree zonal harmonics can effectively present the temporal variation.

Original languageEnglish
Pages (from-to)15-28
Number of pages14
JournalChung Cheng Ling Hsueh Pao/Journal of Chung Cheng Institute of Technology
Issue number1
StatePublished - 1 Nov 2006


  • Orbital perturbation theory
  • ROCSAT-1
  • Temporal variation


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