## Determination of Orbits and Dispersion Ellipsoids of Asteroids Potentially Hazard for the Earth

Transactions of IAA RAS, issue 19, 68–78 (2009)

**Keywords**:
радиоинтерферометрия со сверхдлинными базами, потенциально опасные астероиды, орбиты рассеяния астероидов, эллипсоиды рассеяния астероидов, метод наименьших квадратов, метод наименьших модулей, область рассеяния, ошибки наблюдений, надежность предсказаний

### Abstract

The influence of the observation errors distribution on the orbits of 22 asteroids potentially hazard for the Earth is considered. These asteroids have sufficiently great numbers of observations at a few last oppositions. Two methods were used: 1) the dispersions are determined taking into account the nonlinear propagation of errors, 2) the orbits and dispersions are determined by the method of least modules. For 13 asteroids the dispersion ellipsoids computed by the method of least modules is more real then the ones computed by the method of least squares. The dispersion ellipsoid calculated by the method taking into account the nonlinear relations is also more real. Orbits computed by the method of least modules is more accurate then ones computed by the method of least squares for 13 asteroid. Therefore the orbital parameters for newly discovered asteroids should be computed not only by the conventional method of least squares but also by the method of least modules

### Citation

`A. S. Zabotin, Yu. D. Medvedev . Determination of Orbits and Dispersion Ellipsoids of Asteroids Potentially Hazard for the Earth // Transactions of IAA RAS. — 2009. — Issue 19. — P. 68–78.`

```
@article{zabotin2009,
abstract = {The influence of the observation errors distribution on the orbits of 22 asteroids potentially hazard for the Earth is considered. These asteroids have sufficiently great numbers of observations at a few last oppositions. Two methods were used: 1) the dispersions are determined taking into account the nonlinear propagation of errors, 2) the orbits and dispersions are determined by the method of least modules. For 13 asteroids the dispersion ellipsoids computed by the method of least modules is more real then the ones computed by the method of least squares. The dispersion ellipsoid calculated by the method taking into account the nonlinear relations is also more real. Orbits computed by the method of least modules is more accurate then ones computed by the method of least squares for 13 asteroid. Therefore the orbital parameters for newly discovered asteroids should be computed not only by the conventional method of least squares but also by the method of least modules},
author = {A.~S. Zabotin and Yu.~D. Medvedev},
issue = {19},
journal = {Transactions of IAA RAS},
keyword = {радиоинтерферометрия со сверхдлинными базами, потенциально опасные астероиды, орбиты рассеяния астероидов, эллипсоиды рассеяния астероидов, метод наименьших квадратов, метод наименьших модулей, область рассеяния, ошибки наблюдений, надежность предсказаний},
pages = {68--78},
title = {Determination of Orbits and Dispersion Ellipsoids of Asteroids Potentially Hazard for the Earth},
url = {http://iaaras.ru/en/library/paper/593/},
year = {2009}
}
```

```
TY - JOUR
TI - Determination of Orbits and Dispersion Ellipsoids of Asteroids Potentially Hazard for the Earth
AU - Zabotin, A. S.
AU - Medvedev, Yu. D.
PY - 2009
T2 - Transactions of IAA RAS
IS - 19
SP - 68
AB - The influence of the observation errors distribution on the orbits of
22 asteroids potentially hazard for the Earth is considered. These
asteroids have sufficiently great numbers of observations at a few
last oppositions. Two methods were used: 1) the dispersions are
determined taking into account the nonlinear propagation of errors,
2) the orbits and dispersions are determined by the method of least
modules. For 13 asteroids the dispersion ellipsoids computed by the
method of least modules is more real then the ones computed by the
method of least squares. The dispersion ellipsoid calculated by the
method taking into account the nonlinear relations is also more real.
Orbits computed by the method of least modules is more accurate then
ones computed by the method of least squares for 13 asteroid.
Therefore the orbital parameters for newly discovered asteroids
should be computed not only by the conventional method of least
squares but also by the method of least modules
UR - http://iaaras.ru/en/library/paper/593/
ER -
```