Posts by Mira Anisiu

Mira Anisiu

Abstract


There are many problems in Celestial Mechanics which can be reduced to differential equations, either linear or nonlinear. We expose some of them for which it is possible to obtain the exact solutions. The corresponding differential equations are derived from various models, such as the three-body circular restricted problem or the inverse problem of Dynamics. These equations can be exposed to the students from high school or from the faculties of sciences in order to understand the importance of the study of differential equations. They will also learn to apply their knowledge to solving problems related to phenomena of real world.

Authors

M.C. Anisiu
Tiberiu Popoviciu Institute of Numerical Analysis

Keywords

Ordinary differential equations; inverse problem of Dynamics.

Paper coordinates

M.C. Anisiu, Exact solutions for differential equations in Celestial Mechanics, Didactica Mathematica, 31 (2013), pp. 1-6.

PDF

https://ictp.acad.ro/wp-content/uploads/2025/07/2013a-Anisiu-DM-Exact-solutions-for-differential.pdf

About this paper

Journal

Didactica Matematica

Publisher Name

Societatea de Stiinte Matematice din Romania

DOI
Print ISSN

2247-5060

Online ISSN

google scholar link

[1] Anisiu, D., Anisiu, M.-C., Ecuatii diferentiale care modeleaza circuite electrice, Lucrarile Seminarului Didactica matematicii 21 (2003), 19-24
[2] Anisiu, D., Anisiu, M.-C., Fenomene neliniare ın circuite electrice, Seminarul National Didactica matematicii 23 (2005), 381-386
[3] Anisiu, M.-C.,Bozis, G., Families of planar orbits in one-variable conservative fields, Didactica Mathematica 26 (2008), 9-17
[4] Anisiu, M.-C., Straight lines in the planar inverse problem of Dynamics, Didactica Mathematica 27 (2009), 1-9
[5] Bozis, G., Szebehely inverse problem for finite symmetrical material concentrations, Astron. Astrophys. 134 (1984), 360-364
[6] Bozis, G., Grigoriadou, S., Families of planar orbits generated by homogeneous potentials, Celest. Mech. Dyn. Astron.57 (1993) 461-472
[7] McCall, M., Gravitational orbits in one dimension, Am. J. Phys.74 (2006), 1115-1119
[8] Szebehely, V., Theory of Orbits. The Restricted Problem of Three Bodies, Academic Press, New York, San Francisco, London, 1967.

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