Development of a new more precise algorithm for computing tidal Love numbers

Tidal Love numbers are often used for studying the interior structure of planets and satellites of the Solar System. Measuring the deformation in response to tidal loading belongs to the methods for probing the interiors. The algorithm for computing tidal deformation depends on a series of assumptions and approximations and, therefore, can differ according to different authors. In this paper we compare the existing methods and, based on them, we propose a new and more precise algorithm for computing the tidal Love numbers of the Earth and other bodies with a similar interior structure.