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JOURNиES - 2014

The binary asteroid 22 Kalliope: Linus orbit determination on the basis of speckle interferometric observations
Sokova I.(1), Sokov E.(1), Roschina E.(1), Rastegaev D.(2), Gorshanov D.(1), Balega Yu.(2), Dyachenko V.(2) (1) Pulkovo Observatory; (2) Special Astrophisical Observatory


Binary asteroid 22 Kalliope
22 Kalliope - M-type asteroid from the Main asteroid belt discovered by J. R. Hind on November 16, 1852 in the Bishop' Observatory (UK). At the 29 August 2001 y. Michael E. Brown and Jean-Luc Margot discovered satellite of 22 Kalliope with the use Keck-II telescope and Adaptive Optic. This satellite was named Linus in honor Lin, the son of Kalliope.

Main parameters:
Diameter of Kalliope 167 km Diameter of Linus 28 km


Investigation of binary and multiple asteroids
Adaptive optic Photometry Radar Observations IR-observations Speckle interferomery


Speckle-interferometry of 22 Kalliope asteroid with the 6-meter BTA telescope (SAO)
The observations were carried out at the period from December, 10 till December, 16 of 2011 y. During this period we processed 9 accurate positions of Linus orbiting around the main component of 22 Kalliope


Speckle-interferometry of 22 Kalliope asteroid with the 6-meter BTA telescope (SAO)

a) The example of power spectrum of the binary asteroid 22 Kalliope obtained with the use speckle interferometer at the 6-m BTA telescope. b) The reconstructed image of satellite Linus and its main component 22 Kalliope. Angular distance between the components and apparent magnitude differences are given.


Determination of a visible orbit of satellite Linus
For determination of visible orbit we applied Least squares method accounting 4 significant corrections to the observed positions: correction for phase effect;

1.

2. correction for geocentric distance change (scale);

3. correction to positional angle for change of local direction to celestial pole;
4. correction for change of inclination of Linus radius-vector to the picture plane.


Determination of a visible and true orbit of satellite Linus

For determination of the true ellipse of Linus orbit we used direct geometrical method, developed by A. A. Kiselev in Pulkovo Observatory


An determination of a visible and true orbit of satellite Linus


Conclusion:
1. We obtained instantaneous orbit of the 22 Kalliope satellite for the mean epoch of observation (2011 December 14, 00h 04m) using the speckle interferometry method for separating asteroid components and the direct geometric method for calculating of the true ellipse of an orbit. We have obtained the full range of the elements of Linus orbit; furthermore, the orbital elements that were previously measured by other researches are in good agreement with the results of this research. However, slight differences might attest to the fact that Linus' orbit experiences moderate perturbations. The suggested methods of instant orbital calculation of asteroid satellites will allow monitoring changes in the measured orbits over the course of time.

2.


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