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Using the database of coordinates of the major planets for the numerical integration of the equations of celestial bodies motion. (Russian. English summary) Zbl 1449.85002

Summary: Databases of major planets coordinates are created on the basis of the numerical theory of movement of planets DE405. Numerical integration of the motion equations of small bodies of Solar system is realized using the received databanks. Extra efficiency of usage of databanks of major planets coordinates is shown at numerical integration of motion equations of celestial bodies.

MSC:

85-08 Computational methods for problems pertaining to astronomy and astrophysics
70M20 Orbital mechanics
65L07 Numerical investigation of stability of solutions to ordinary differential equations
85A05 Galactic and stellar dynamics
70F15 Celestial mechanics

References:

[1] Zausaev A. F., Zausaev A. A., “Numerical integration of the equations of motion of small solar system bodies with using the osculating elements for major planets”, Proceedings of the Sixth All-Russian Scientific Conference with international participation (1-4 June 2009). Part 3, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2009, 125-130 · Zbl 1449.85004
[2] Newhall X. X., Standish E. M., Williams J. G., “DE 102: A numerically integrated ephemeris of the moon and planets spanning forty-four centuries”, Astron. Astrophys., 125:1 (1983), 150-167 · Zbl 0529.70017
[3] Standish E. M., JPL Planetary and Lunar Ephemerides, DE405/LE405, Jet Prop Lab Technical Report. IOM 312. F-98-048,
[4] Zausaev A. F., Zausaev A. A., Catalogue of the orbital evolution of short-period comets (1800-2204), Mashinostroenie-1, Moscow, 2007, 410 pp. · Zbl 1164.70322
[5] Zausaev A. F.,Abramov V. V., Denisov S. S., Catalogue of the orbital evolution of near-Earth asteroids (1800-2204), Mashinostroenie-1, Moscow, 2007, 608 pp.
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