“…The detailed investigations of the fine structure and time-variable characteristics of the Earth's gravitational field not only are the requirements for space geodesy, geophysics, geodynamics, oceanography, etc., but also will provide important information for resource exploration, environmental protection and disaster monitoring. Based on the outstanding performances of accurately measuring the Earth's gravitational field in the medium-long-wavelength (static) and long-wavelength (time-variable) ranges from the existing GRACE mission (Zhang et al, 2004;Shen et al, 2005;Cheng and Xu, 2006;Zhou et al, 2006;Zheng et al, 2006Zheng et al, , 2008aZheng et al, , 2009aZheng et al, , 2009bZheng et al, , 2009cZheng et al, , 2011, the next-generation satellite gravity mission GRACE Follow-on has been proposed by the American National Aeronautics and Space Administration (NASA) to precisely map the Earth's static and time-variable gravitational fields with unprecedented spatial resolution in the medium-short-wavelength (static) and medium-long-wavelength (time-variable) ranges (Rummel, 2003;Sneeuw, 2005;Bender et al, 2008;Zheng et al, 2008bZheng et al, , 2009dZheng et al, , 2010Zheng et al, , 2013Wiese et al, 2009Wiese et al, , 2012Loomis et al, 2012). Table 1, the twin GRACE Follow-On satellites, flying in an almost circular, nearly polar and low-Earth orbit, will precisely measure the intersatellite range with an accuracy of 10 −6 ∼ 10 −8 m and intersatellite range-rate with a precision of 10 −7 ∼ 10 −9 m/s by the ILR system, the orbital position and orbital velocity by the high-Earth-orbit GPS satellites and the nonconservative force with an accuracy of 10 −11 ∼ 10 −13 m/s 2 by the accelerometer, and will accurately compensate the non-conservative force by the Drag-Free Control System (DFCS).…”