@article{PaschekRossmannHausmannetal.2021, author = {Paschek, Klaus and Roßmann, Arthur and Hausmann, Michael and Hildenbrand, Georg}, title = {Analysis of Tidal Accelerations in the Solar System and in Extrasolar Planetary Systems}, series = {Applied Sciences}, volume = {11}, journal = {Applied Sciences}, number = {18}, publisher = {MDPI AG}, issn = {2076-3417}, doi = {https://doi.org/10.3390/app11188624}, year = {2021}, abstract = {Volcanism powered by tidal forces inside celestial bodies can provide enough energy to keep important solvents for living systems in the liquid phase. A prerequisite to calculate such tidal interactions and consequences is depending on simulations for tidal accelerations in a multi-body system. Unfortunately, from measurements in many extrasolar planetary systems, only few physical and orbital parameters are well-known enough for investigated celestial bodies. For calculating tidal acceleration vectors under missing most orbital parameter exactly, a simulation method is developed that is only based on a few basic parameters, easily measurable even in extrasolar planetary systems. Such a method as the one presented here allows finding a relation between the tidal acceleration vectors and potential heating inside celestial objects. Using the values and results of our model approach to our solar system as a "gold standard" for feasibility allowed us to classify this heating in relation to different forms of volcanism. This "gold standard" approach gave us a classification measure for the relevance of tidal heating in other extrasolar systems with a reduced availability of exact physical parameters. We help to estimate conditions for the identification of potential candidates for further sophisticated investigations by more complex established methods such as viscoelastic multi-body theories. As a first example, we applied the procedures developed here to the extrasolar planetary system TRAPPIST-1 as an example to check our working hypothesis.}, subject = {Sonnensystem}, language = {en} }