Abbak, R.A.Ellmann, A.Üstün, A.2021-12-132021-12-1320221865-04731865-0481https://doi.org/10.1007/s12145-021-00713-3https://hdl.handle.net/20.500.13091/14Today’s geodetic community starts to model an accurate gravimetric geoid within a 5 mm level, which entirely meets the demands of all technical and geoscientific studies. In this context, a wide range of geoid modelling methods have been published through the years, each of them has its own philosophy. Recently, a new geoid modelling technique has been developed by using the least squares modification of Hotine’s formula (LSMH), which gives more reasonable results than other methods. However, a practical and compact software package is not publicly accessible for researchers in this method. Thus, a scientific software package named “LSMHSOFT” is developed by C programming language and made available for public use in this study. Subsequently, the software is employed for the composition of gravimetric geoid in the Auvergne test-bed, verifying it by GNSS (Global Navigation Satellite Systems)-levelling data. Numerical results indicate that LSMHSOFT is a powerful tool for modelling gravimetric geoid by the least squares modification of Hotine’s formula and its additive corrections. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.eninfo:eu-repo/semantics/closedAccessAuvergne test-bedHotine’s integralLSMHSOFTPoint-wise integrationRugged topographyArticle10.1007/s12145-021-00713-32-s2.0-85117143319