8 papers
Chemical Tracers for 3D Atmospheric Asymmetries on WASP-69 b
Nidhi Bangera, Ludmila Carone, Vikas Soni +6
Warm giant exoplanets exhibit strong three-dimensional temperature contrasts that can significantly alter atmospheric chemistry through quenching and photochemistry, yet transmissi…
Bistable Quad-Nets Composed of Four-Bar Linkages
Gudrun Szewieczek, Daniel Huczala, Martin Pfurner +1
We study a novel type of mechanical structures, composed of spatial four-bar linkages, that are bistable, that is, they allow for two distinct configurations. These structures have…
A Complete Characterization of Pythagorean Hodograph Preserving Mappings
Amedeo Altavilla, Hans-Peter Schröcker, ZbynÄk Å Ãr +1
We fully characterize the mappings that send every Pythagorean-hodograph (PH) curve to a PH curve. We prove that in any dimension, such mappings are precisely the conformal fu…
Exparabolas of a Triangle
Martin Lukarevski, Hans-Peter Schröcker
Among a triangle's exparabolas (parabolas escribed to the triangle), three are distinguished by having locally maximal parameter. They are determined by a simple cubic equation and…
Uniqueness of Maximal Inscribed Parabolas and Minimal Circumscribing Horocycles
Martin Lukarevski, Hans-Peter Schröcker
We prove existence of three unique ``max-exparabolas'' to a triangle. Each of these parabolas is internally tangent to one edge and the two other sides. Among all like parabolas, i…
Rational Motions of Minimal Quaternionic Degree with Prescribed Line Trajectories
Zülal Derin Yaqub, Hans-Peter Schröcker
In this paper, we study how to find rational motions that move a line along a given rational ruled surface. Our goal is to find motions with the lowest possible degree using dual q…