Detailed Information on Publication Record
2022
Pedal coordinates, solar sail orbits, Dipole drive and other force problems
BLASCHKE, PetrBasic information
Original name
Pedal coordinates, solar sail orbits, Dipole drive and other force problems
Authors
BLASCHKE, Petr (203 Czech Republic, guarantor, belonging to the institution)
Edition
Journal of Mathematical Analysis and Applications, San Diego (USA), Academic Press Inc. Elsevier Science, 2022, 0022-247X
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/47813059:19610/22:A0000108
Organization unit
Mathematical Institute in Opava
UT WoS
000705028400046
Keywords in English
Pedal coordinates; Force problems; Dipole drive; Solar sail; Celestial mechanics; Geometry of planar curves
Tags
Tags
International impact, Reviewed
Links
GA21-27941S, research and development project.
Změněno: 1/3/2023 14:32, Mgr. Aleš Ryšavý
Abstract
V originále
Pedal coordinates provide a natural framework for studying force problems of classical mechanics in the plane. The trajectory of a test particle under the influence of central and Lorentz-like forces can be translated into pedal coordinates at once without the need of solving any differential equation. We generalize this result to cover more general force laws and also show the advantage of pedal coordinates in certain variational problems. These enable us to link together many dynamical systems as well as problems of the calculus of variation. Finally, we apply these results to compute orbits of Solar sail and Dipole drive.