Spherical geodetic satellites tracked by satellite laser ranging (SLR) stations provide indispensable scientific products that cannot be replaced by other sources. For studying the time-variable gravity field, two low-degree coefficients C₂₀ and C₃₀ derived from GRACE and GRACE Follow-On missions are replaced by the values derived from SLR tracking of geodetic satellites, such as LAGEOS-1/2, LARES-1/2, Starlette, Stella, and Ajisai. The subset of these satellites is used to derive the geocenter motion which is fundamental in the realization of the origin of the terrestrial reference frames. LAGEOS satellites provide the most accurate standard gravitational product GM of the Earth. In this study, we use the Kaula theorem of gravitational perturbations to find the best possible satellite height, inclination, and eccentricity for a future geodetic satellite to maximize orbit sensitivity in terms of the recovery of low-degree gravity field coefficients, geocenter, and GM. We also derive the common station-satellite visibility-coverability coefficient as a function of the inclination angle and satellite height. We found that the best inclination for a future geodetic satellite is 35°–45° or 135°–145° with a height of about 1500–1700 km to support future GRACE/MAGIC missions with C₂₀ and C₃₀. For a better geocenter recovery and derivation of the standard gravitational product, the preferable height is 2300–3500 km. Unfortunately, none of the existing geodetic satellites has the optimum height and inclination angle for deriving GM, geocenter, and C₂₀ because there are no spherical geodetic satellites at the heights between 1500 (Ajisai and LARES-1) and 5800 km (LAGEOS-1/2, LARES-2).

卫星激光测距（SLR）站跟踪的球形大地测量卫星提供了其他来源无法替代的不可或缺的科学产品。为了研究时变重力场，GRACE 和 GRACE Follow-On 任务中导出的两个低次系数C ₂₀和C ₃₀被 LAGEOS-1/2、LARES 等大地测量卫星 SLR 跟踪导出的值替代-1/2、斯塔莉特、斯黛拉和紫阳彩。这些卫星的子集用于导出地心运动，这是实现地球参考系原点的基础。 LAGEOS 卫星提供最准确的地球标准引力产品 GM。在这项研究中，我们利用重力摄动的考拉定理来寻找未来大地测量卫星的最佳卫星高度、倾角和偏心率，以最大限度地提高低度重力场系数、地心和 GM 恢复方面的轨道灵敏度。 。我们还推导了常见的站-卫星能见度-覆盖度系数作为倾角和卫星高度的函数。我们发现，未来大地测量卫星的最佳倾角为35°–45°或135°–145°，高度约为1500–1700 km，以支持未来C ₂₀和C ₃₀的GRACE/MAGIC 任务。为了更好地恢复地心并推导标准引力积，优选高度为2300-3500公里。 不幸的是，现有的大地测量卫星都不具备导出 GM、地心和C _{20 的}最佳高度和倾角，因为在 1500 公里（Ajisai 和 LARES-1）和 5800 公里（LAGEOS-1）之间的高度没有球形大地测量卫星。 /2，LARES-2）。