TY - INPR A1 - Paschek, Klaus A1 - Roßmann, Arthur A1 - Hausmann, Michael A1 - Hildenbrand, Georg T1 - Analysis of Tidal Accelerations in the Solar System and in Extrasolar Planetary Systems N2 - Volcanism powered by tidal forces inside celestial bodies can provide enough energy to keep important solvents for living systems in the liquid phase. Moreover, tidal forces and their environmental consequences may strongly influence habitability of planets and other celestial bodies and may result in special forms of live and living conditions. 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 enough known 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 being presented here, allows finding a relation between the tidal acceleration vectors and potential heating inside celestial objects. Using 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 would help to estimate conditions for the identification of potential candidates for further sophisticated investigations by more complex established methods like 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. KW - Sonnensystem KW - Vulkanismus Y1 - 2021 U6 - https://doi.org/https://doi.org/10.20944/preprints202107.0408.v1 PB - MDPI AG ER - TY - JOUR A1 - Paschek, Klaus A1 - Roßmann, Arthur A1 - Hausmann, Michael A1 - Hildenbrand, Georg T1 - Analysis of Tidal Accelerations in the Solar System and in Extrasolar Planetary Systems JF - Applied Sciences N2 - 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. KW - Sonnensystem KW - Vulkanismus Y1 - 2021 U6 - https://doi.org/https://doi.org/10.3390/app11188624 SN - 2076-3417 VL - 11 IS - 18 PB - MDPI AG ER - TY - CHAP A1 - Hildenbrand, Georg A1 - Paschek, Klaus A1 - Schäfer, Myriam A1 - Hausmann, Michael T1 - Cryovolcanism in the Solar System and beyond: Considerations on Energy Sources, Geological Aspects, and Astrobiological Perspectives T2 - Astronomy and Planetary Science - From Cryovolcanism to Black Holes and Galactic Evolution N2 - Volcanism based on melting rocks (silicate volcanism) is long known on Earth and has also been found on Jupiter’s moon Io. Remnants of this type of volcanism have been identified also on other bodies in the solar system. Energy sources powered by accretion and the decay of radioactive isotopes seem to be dominant mainly inside larger bodies, which have enough volume to accumulate and retain this energy in significant amounts. On the other hand, the impact of tidal forces allows even tiny bodies to melt up and pass into the stage of cryovolcanism. The dependence of tidal heating on the size of the object is minor, but the masses of and the distances to accompanying bodies as well as the inner compositions of the heated body are central factors. Even though Io as an example of a body supporting silicate volcanism is striking, the physics of tidal forces might suggest a relatively high probability for cryovolcanism. This chapter aims at considering the parameters known and objects found so far in our solar system to give insights into where in our system and other planetary systems cryovolcanism might be expected. KW - Sonnensystem KW - Vulkanismus Y1 - 2022 SN - 9781803561196 U6 - https://doi.org/https://doi.org/10.5772/intechopen.105067 PB - IntechOpen ER -