| BLASCHKE, Petr. Pedal coordinates, solar sail orbits, Dipole drive and other force problems. Journal of Mathematical Analysis and Applications. San Diego (USA): Academic Press Inc. Elsevier Science, 2022, vol. 506, No 1, p. "125537-1"-"125537-28", 28 pp. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2021.125537. |
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@article{65262,
author = {Blaschke, Petr},
article_location = {San Diego (USA)},
article_number = {1},
doi = {http://dx.doi.org/10.1016/j.jmaa.2021.125537},
keywords = {Pedal coordinates; Force problems; Dipole drive; Solar sail; Celestial mechanics; Geometry of planar curves},
language = {eng},
issn = {0022-247X},
journal = {Journal of Mathematical Analysis and Applications},
title = {Pedal coordinates, solar sail orbits, Dipole drive and other force problems},
url = {https://www.sciencedirect.com/science/article/pii/S0022247X21006168},
volume = {506},
year = {2022}
}
TY - JOUR
ID - 65262
AU - Blaschke, Petr
PY - 2022
TI - Pedal coordinates, solar sail orbits, Dipole drive and other force problems
JF - Journal of Mathematical Analysis and Applications
VL - 506
IS - 1
SP - "125537-1"-"125537-28"
EP - "125537-1"-"125537-28"
PB - Academic Press Inc. Elsevier Science
SN - 0022247X
KW - Pedal coordinates
KW - Force problems
KW - Dipole drive
KW - Solar sail
KW - Celestial mechanics
KW - Geometry of planar curves
UR - https://www.sciencedirect.com/science/article/pii/S0022247X21006168
N2 - 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.
ER -
BLASCHKE, Petr. Pedal coordinates, solar sail orbits, Dipole drive and other force problems. \textit{Journal of Mathematical Analysis and Applications}. San Diego (USA): Academic Press Inc. Elsevier Science, 2022, vol.~506, No~1, p.~''125537-1''-''125537-28'', 28 pp. ISSN~0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2021.125537.
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