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A Method for Determination of Preliminary Elliptical Orbits from Two Short CCD Series of Observations

Transactions of IAA RAS, issue 39, 8–16 (2016)

Keywords: preliminary orbit, asteroids, numerical method.

Abstract

A method for determination of preliminary elliptical orbits is proposed. This method can be applied if the spherical coordinates (α, δ) and their first derivatives (𝑎̇ , δ) are known at two moments. The integral of areas and the integral of energy are used to obtain four nonlinear equations. A numerical solution of these equations gives a value of the topocentric distance and its first derivative. Elements of an asteroid orbit can be calculated from these data.

Citation

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T.A. Vinogradova. A Method for Determination of Preliminary Elliptical Orbits from Two Short CCD Series of Observations // Transactions of IAA RAS. — 2016. — Issue 39. — P. 8–16.

@article{vinogradova2016,
  abstract = {A method for determination of preliminary elliptical orbits is proposed. This method can be applied if the spherical coordinates (α, δ) and their first derivatives (𝑎̇ ,  δ) are known at two moments. The integral of areas and the integral of energy are used to obtain four nonlinear equations. A numerical solution of these equations gives a value of the topocentric distance and its first derivative. Elements of an asteroid orbit can be calculated from these data.},
  author = {T.~A. Vinogradova},
  issue = {39},
  journal = {Transactions of IAA RAS},
  keyword = {preliminary orbit, asteroids, numerical method},
  pages = {8--16},
  title = {A Method for Determination of Preliminary Elliptical Orbits from Two Short CCD Series of Observations},
  url = {http://iaaras.ru/en/library/paper/1647/},
  year = {2016}
}

TY  - JOUR
TI  - A Method for Determination of Preliminary Elliptical Orbits from Two Short CCD Series of Observations
AU  - Vinogradova, T. A.
PY  - 2016
T2  - Transactions of IAA RAS
IS  - 39
SP  - 8
AB  - A method for determination of preliminary elliptical orbits is
proposed. This method can be applied if the spherical coordinates (α,
δ) and their first derivatives (𝑎̇ ,  δ) are known at two moments.
The integral of areas and the integral of energy are used to obtain
four nonlinear equations. A numerical solution of these equations
gives a value of the topocentric distance and its first derivative.
Elements of an asteroid orbit can be calculated from these data.
UR  - http://iaaras.ru/en/library/paper/1647/
ER  -