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Calculations of forced elements of asteroid orbits

Transactions of IAA RAS, issue 21, 205–210 (2010)

Keywords: радиоинтерферометрия со сверхдлинными базами, астероид, вынужденные элементы орбит, оскулирующий элемент, большая полуось, вынужденный эксцентриситет, вынужденная долгота перицентра, резонанс средних движений, Юпитер

Abstract

Forced elements of asteroid orbits were calculated from the osculating ele-ments of asteroid orbits for different intervals of semi-major axis. The derived values of forced elements are depicted in plots versus semi-major axis and comparison with theoretical curves by Brouwer and Van Woerkom is made. The main disagreement with the theoretical results is noticeable in the neighbourhood of 2.6 a. e., where the theoretical curves of forced eccentricity and forced longitude of perihelion have singularities, while the calculated curves have no ones. Besides, there is essential divergence of the curves for forced eccentricity near the 3:1, 2:1, 3:2 orbital resonances with Jupiter

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T. Vinogradova. Calculations of forced elements of asteroid orbits // Transactions of IAA RAS. — 2010. — Issue 21. — P. 205–210.

@article{vinogradova2010,
  abstract = {Forced elements of asteroid orbits were calculated from the osculating ele-ments of asteroid orbits for different intervals of semi-major axis. The derived values of forced elements are depicted in plots versus semi-major axis and comparison with theoretical curves by Brouwer and Van Woerkom is made. The main disagreement with the theoretical results is noticeable in the neighbourhood of 2.6 a. e., where the theoretical curves of forced eccentricity and forced longitude of perihelion have singularities, while the calculated curves have no ones. Besides, there is essential divergence of the curves for forced eccentricity near the 3:1, 2:1, 3:2 orbital resonances with Jupiter},
  author = {T. Vinogradova},
  issue = {21},
  journal = {Transactions of IAA RAS},
  keyword = {радиоинтерферометрия со сверхдлинными базами, астероид, вынужденные элементы орбит, оскулирующий элемент, большая полуось, вынужденный эксцентриситет, вынужденная долгота перицентра, резонанс средних движений, Юпитер},
  pages = {205--210},
  title = {Calculations of forced elements of asteroid orbits},
  url = {http://iaaras.ru/en/library/paper/721/},
  year = {2010}
}

TY  - JOUR
TI  - Calculations of forced elements of asteroid orbits
AU  - Vinogradova, T.
PY  - 2010
T2  - Transactions of IAA RAS
IS  - 21
SP  - 205
AB  -  Forced elements of asteroid orbits were calculated from the
osculating ele-ments of asteroid orbits for different intervals of
semi-major axis. The derived values of forced elements are depicted
in plots versus semi-major axis and comparison with theoretical
curves by Brouwer and Van Woerkom is made. The main disagreement with
the theoretical results is noticeable in the neighbourhood of 2.6 a.
e., where the theoretical curves of forced eccentricity and forced
longitude of perihelion have singularities, while the calculated
curves have no ones. Besides, there is essential divergence of the
curves for forced eccentricity near the 3:1, 2:1, 3:2 orbital
resonances with Jupiter
UR  - http://iaaras.ru/en/library/paper/721/
ER  -