Satellite measurements of the Earth's time-variable gravity field are capable of addressing a wide variety of geophysical problems, such as the mass redistributions caused by hydrology, oceanography, the cryosphere, and the solid Earth. The Gravity Recovery And Climate change Experiment (GRACE) provided regular monthly estimates of the Earth's gravity field from when it was launched in 2002 (Tapley et al., 2004) until 2017 (Tapley et al., 2019). The monthly average gravity fields have been used successfully in extensive studies of changes in continental water storage, ice sheet mass, and sea level, as well as for earthquake-related deformation monitoring. Time variations in the Earth's mass distribution over periods of hours and longer are being monitored in many different ways. The results from the GRACE mission have been very valuable, but the changes in the geopotential during the usual global averaging time of about a month make it difficult to determine changes at particular locations at shorter periods. This limitation is called temporal aliasing. The satellites do not monitor the entire global field continually during a month, but sample the gravity field only along their orbital track. The resulting infrequent sampling of the signal leads to the aliasing of short-period variations into the monthly averages (see e.g., Han, 2004). For example, the short-period temporal mass variations alias into the longer period components and systematically contaminate the monthly mean gravity field estimates (see e.g., Han et al., 2006). The usual way to reduce these aliasing errors is to independently model and remove the effects of the various types of submonthly gravity variations before constructing monthly averages. But errors in these short-period gravity variation models will cause aliasing errors in the monthly gravity field solutions. The main objective of the recently launched GRACE Follow-On (GRACE-FO) Mission is to continue the roughly monthly determinations of variations in the global gravity field that were started by the GRACE mission (Landerer et al., 2020). However, GRACE-FO also carries a laser ranging interferometer (LRI) as Abstract A new mission called the Gravity Recovery And Climate change Experiment Follow-On (GRACE-FO) is now flying to continue the measurements started by the GRACE mission and to test a laser interferometry system for making more accurate measurements of the satellite separation. In this study, we discuss the potential scientific benefit of strongly reducing the acceleration noise in a Next Generation Gravity Mission (NGGM), compared with that for GRACE and for GRACE-FO. A useful way of comparing the scientific benefits is from the view point of how well they can be used to test different procedures for estimating the changes in the geopotential based on sources of geophysical information other than satellite gravity results. In particular, changes in hydrology, the atmospheric density, and ocean conditions can make large and very nonuniform changes in the geopotential in short p...