Algorithm for Calculating Frame Rotations and its Application to HIPPARCOS

Astronomy and Astrophysics – Astrophysics

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Scientific paper

Given the extragalactic radio reference system, it is possible to extend this system to optical wavelengths by linking the provisional Hipparcos frame to the radio reference frame. Among the varying methods of frame connection we discuss here the usage of radio stars observed by the Very Large Array (VLA) relative to extragalactic radio sources. A general adjustment algorithm has been developed for the simultaneous determination of orientation angles and angular rates of rotation. From case studies we have derived the orientation angles of the provisional Hipparcos frame with respect to the VLA reference frame for radio star observations. Typical orientation angles about the three axes of the adopted equatorial coordinate system are -12.8, -19.1, +5.5 milliarcsec (mas), respectively. Evidence is shown that an offset exists between the VLA frame and the International Celestial Reference Frame (ICRF). Especially in the z-axis the offset is significant amounting to about 16 mas. From simulated data it is inferred that some 50 VLA observed radio stars are instrumental in linking optical and radio reference frames, with a precision of 0.5 mas/yr for the angular rates.

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