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The celestial bodies motion theories: On the required accuracy of the motion theories of the perturbing bodies. / Kuznetsov, E. D.
In: Planetary and Space Science, Vol. 45, No. 12, 1997, p. 1595-1606.

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Kuznetsov ED. The celestial bodies motion theories: On the required accuracy of the motion theories of the perturbing bodies. Planetary and Space Science. 1997;45(12):1595-1606. doi: 10.1016/50032-0633(97)00180-3

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@article{ff641f2fbe1e43a0877c90d4ef0aa8e7,
title = "The celestial bodies motion theories: On the required accuracy of the motion theories of the perturbing bodies",
abstract = "The equation for calculation of the required accuracy of the perturbing bodies motion theories is obtained. The equation relates the accuracy required to take into account perturbing accelration, acting on the perturbed body, with the accuracy of the motion theory of the perturbing body. The solutions for estimation of the required accuracy both for the inner and the external cases in the spherical coordinates are coincided. The solution for the calculation of the required accuracy for the general case (combining the inner and the external cases) in Cartesian coordinates is obtained. The special cases for the solution in Cartesian coordinates are studied. As an example, the estimations of the required accuracy of the motion theories of the solar system planets for some perturbed bodies (the near-Earth asteroid 4179 Toutatis, the main belt asteroid 208 Larcimosa, the trojan asteroid 588 A chilles, the centaur asteroid 5145 Pholus, the Kuiper belt asteroid 1995 QZ9, the comet Halley) are obtained. The conditions of the use of the obtained results are discussed.",
author = "Kuznetsov, {E. D.}",
year = "1997",
doi = "10.1016/50032-0633(97)00180-3",
language = "English",
volume = "45",
pages = "1595--1606",
journal = "Planetary and Space Science",
issn = "0032-0633",
publisher = "Elsevier",
number = "12",

}

RIS

TY - JOUR

T1 - The celestial bodies motion theories: On the required accuracy of the motion theories of the perturbing bodies

AU - Kuznetsov, E. D.

PY - 1997

Y1 - 1997

N2 - The equation for calculation of the required accuracy of the perturbing bodies motion theories is obtained. The equation relates the accuracy required to take into account perturbing accelration, acting on the perturbed body, with the accuracy of the motion theory of the perturbing body. The solutions for estimation of the required accuracy both for the inner and the external cases in the spherical coordinates are coincided. The solution for the calculation of the required accuracy for the general case (combining the inner and the external cases) in Cartesian coordinates is obtained. The special cases for the solution in Cartesian coordinates are studied. As an example, the estimations of the required accuracy of the motion theories of the solar system planets for some perturbed bodies (the near-Earth asteroid 4179 Toutatis, the main belt asteroid 208 Larcimosa, the trojan asteroid 588 A chilles, the centaur asteroid 5145 Pholus, the Kuiper belt asteroid 1995 QZ9, the comet Halley) are obtained. The conditions of the use of the obtained results are discussed.

AB - The equation for calculation of the required accuracy of the perturbing bodies motion theories is obtained. The equation relates the accuracy required to take into account perturbing accelration, acting on the perturbed body, with the accuracy of the motion theory of the perturbing body. The solutions for estimation of the required accuracy both for the inner and the external cases in the spherical coordinates are coincided. The solution for the calculation of the required accuracy for the general case (combining the inner and the external cases) in Cartesian coordinates is obtained. The special cases for the solution in Cartesian coordinates are studied. As an example, the estimations of the required accuracy of the motion theories of the solar system planets for some perturbed bodies (the near-Earth asteroid 4179 Toutatis, the main belt asteroid 208 Larcimosa, the trojan asteroid 588 A chilles, the centaur asteroid 5145 Pholus, the Kuiper belt asteroid 1995 QZ9, the comet Halley) are obtained. The conditions of the use of the obtained results are discussed.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=9644270521

U2 - 10.1016/50032-0633(97)00180-3

DO - 10.1016/50032-0633(97)00180-3

M3 - Article

VL - 45

SP - 1595

EP - 1606

JO - Planetary and Space Science

JF - Planetary and Space Science

SN - 0032-0633

IS - 12

ER -

ID: 54849821