地球引力场带谐调和项引起的卫星轨道摄动

本文给出了地球引力场带谐调和项引起的卫星轨道摄动的分析计算公式,它包括了任意有限多个带谐调和项的影响,适用于任意偏心率的卫星轨道。     

Negative VTEC with spherical harmonic expansion model under different solar activity conditions

The Earth’s ionosphere can be described by a spherical harmonic (SH) expansion up to a specific degree. However, there exist negative vertical total electron content (VTEC) values in the global ionosphere map (GIM) with the SH expansion model. In this contribution, we specifically investigated the negative VTEC values that are induced by the SH expansion model and validated the performance of the inequality-constrained least squares (ICLS) method in eliminating the negative VTEC values. The GPS data from 2004 to 2017 was selected to cover one solar cycle and the experiments under different solar activity conditions were analyzed. The results in our work show that the occurrence of the negative VTEC values is attributed to the deficiency of the SH expansion model when the VTEC itself is small instead of the unevenly distribution of the GNSS stations. The negative VTEC values appear periodically in the temporal domain, showing apparently one year and half year periods. During one year, two peaks in June and December can be observed in the time series of the negative VTEC values. The number of negative VTEC values in June is obvious larger than that in December. During one solar cycle, the number of negative VTEC values under quiet solar activity condition is obvious larger than that under strong solar activity condition. In the spatial domain, the appearance of the negative VTEC values is strongly related with the movement of the subsolar point. In the latitude of the subsolar point has the largest magnitude, the negative values will appear on the opposite hemisphere and the further from the subsolar point the more negative values. The maximum number of the negative VTEC values in the southern hemisphere appears in June, while the peak value in the northern hemisphere appears in December. The maximum number of negative VTEC values in the southern hemisphere is generally larger than that in the northern hemisphere. In addition, the negative VTEC values are distributed both at middle latitude and high latitude in the southern hemisphere, while they are mainly distributed at high latitude in the northern hemisphere. When the ICLS method is used, the negative VTEC values can be eliminated efficiently and it has nearly no influence on the positive VTEC values. The ICLS method can also improve the receiver’s differential code bias (DCB) and significantly decrease the unreasonable negative slant TEC (STEC) values along the lines of sight. Using the final GIM product of the Jet Propulsion Laboratory (JPLG) as a reference, the root mean square (RMS) of the ICLS solution shows maximum 25%, 20% and 45% improvement relative to the least squares (LS) solution at northern high latitude, southern middle latitude and southern high latitude, respectively.     

折叠球形气囊展开过程仿真

球形气囊展开和折叠过程复杂,采用实验手段研究其展开过程存在诸多不便。建立以单侧内折方式折叠的球形气囊数值分析模型,研究球形气囊折叠后充气展开的动态应用特性,比较相同充气条件不同折叠层数和相同折叠层数不同充气条件下气囊展开动态特性的差异;对影响气囊展开过程中体积和内压曲线变化的因素进行分析,分别讨论折叠层数、充气速率和充气量对球形气囊动态特性的影响。结果表明:单侧内折折叠次数增多会导致气囊内压最大值增大,应用时设定气囊折叠次数应考虑气囊材料最大内压承受能力;充气速率和充气量均会影响气囊展开的稳定性,充气速率的影响主要在充气及气囊展开初期阶段,而充气量的影响主要在充气完成后的自由展开阶段。