Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (4)
- Authors
- Bogdanova, Sophie B.; Gladkov, Sergey O.
- Contact information
- Bogdanova, Sophie B.: Moscow Aviation Institute (National Research University) MAI Moscow, Russian Federation; OCRID: 0000-0001-8503-1794; Gladkov, Sergey O.: Moscow Aviation Institute (National Research University) MAI Moscow, Russian Federation; OCRID: 0000-0002-2755-9133
- Keywords
- relative motion; line curvature; mechanics of curvilinear motion; computer simulation
- Abstract
It is shown that the moving basis of a curve in polar coordinates can always be considered as a right-handed reference frame moving with acceleration. A system of differential equations is obtained that describes the trajectory of a freely falling body in a non-inertial reference frame coinciding with the standard basis of the curve. Finally, they were solved numerically using the Archimedean spiral, the three-petal rose and the cardioid as examples
- Pages
- 537–543
- EDN
- YSEZDY
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/152993
Journal of Siberian Federal University. Mathematics & Physics / An Application of the Plane Curve’s Standard Basis to a Certain Class of Problems from Classical Mechanics
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