The integrable cases of the three-body problem at third-order resonance under the oblateness of the central planet
V. N. Shinkin
Moscow State Institute of Steel and Alloys (Technological University)
In the present paper the general spatial and restricted elliptic spatial three-body problem at third-order resonance $j:(j+3)$ are analytically integrated by quadratures with the help of the Weierstrass functions, using an expansion of the disturbing function up to and including the third-degree terms in the eccentricities and in the inclinations.
PDF file (398 kB)
V. N. Shinkin, “The integrable cases of the three-body problem at third-order resonance under the oblateness of the central planet”, Fundam. Prikl. Mat., 1:4 (1995), 1045–1058
Citation in format AMSBIB
\paper The integrable cases of the three-body problem at third-order resonance under the oblateness of the central planet
\jour Fundam. Prikl. Mat.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|