Interpolation methods used to obtain orbit coordinates and elements of the Solar system large planets and small bodies
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 231-238.

Voir la notice de l'article provenant de la source Math-Net.Ru

Various methods of interpolation for receiving coordinates, velocities and elements of large planets and small bodies orbits of the Solar system are studied. New osculating elements method is introduced. This method has proved to be the most effective in comparison with trapezium and parabola methods.
Keywords: numerical integration, differential equation of motion, trapezium method
Mots-clés : parabolas method, osculation elements method.
@article{VSGTU_2008_2_a25,
     author = {A. F. Zausaev and D. A. Zausaev},
     title = {Interpolation methods used to obtain orbit coordinates and elements of the {Solar} system large planets and small bodies},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {231--238},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a25/}
}
TY  - JOUR
AU  - A. F. Zausaev
AU  - D. A. Zausaev
TI  - Interpolation methods used to obtain orbit coordinates and elements of the Solar system large planets and small bodies
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2008
SP  - 231
EP  - 238
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a25/
LA  - ru
ID  - VSGTU_2008_2_a25
ER  - 
%0 Journal Article
%A A. F. Zausaev
%A D. A. Zausaev
%T Interpolation methods used to obtain orbit coordinates and elements of the Solar system large planets and small bodies
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2008
%P 231-238
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a25/
%G ru
%F VSGTU_2008_2_a25
A. F. Zausaev; D. A. Zausaev. Interpolation methods used to obtain orbit coordinates and elements of the Solar system large planets and small bodies. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 231-238. http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a25/

[1] Zausaev A. F., Zausaev A. A., Katalog orbitalnoi evolyutsii korotkoperiodicheskikh komet s 1800 po 2204 gg., Mashinostroenie-1, M., 2007, 410 pp.

[2] Zausaev A. F., Abramov V. V., Denisov S. S., Katalog orbitalnoi evolyutsii asteroidov, sblizhayuschikhsya s Zemlëi s 1800 po 2204 gg., Mashinostroenie-1, M., 2007, 607 pp.

[3] Zausaev A. F., “Teoriya dvizheniya $n$ materialnykh tel, osnovannaya na novom printsipe vzaimodeistviya”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2006, no. 43, 132–139 | DOI

[4] Standish E. M., JPL Planetary and Lunar Ephemerides, DE405/LE405, Jet Prop Lab Technical Report. IOM 312. F-048, 1998, 1–7

[5] Abalakin V. K., Aksenov E. P., Grebennikov E. A. i dr., Spravochnoe rukovodstvo po nebesnoi mekhanike i astrodinamike, Nauka, M., 1976, 862 pp.