A Celestial Reference Frame at X/ka-Band (8.4/32 Ghz) for Deep Space Navigation

Deep space tracking and navigation are done in a quasi-inertial reference frame based upon the angular positions of distant active galactic nuclei (AGN). These objects, which are found at extreme distances characterized by median redshifts of z = 1, are ideal for reference frame definition because they exhibit no measurable parallax or proper motion. They are thought to be powered by super massive black holes whose gravitational energy drives galactic sized relativistic jets. These jets produce synchrotron emissions which are detectable by modern radio techniques such as Very Long baseline Interferometry (VLBI). We have constructed a reference frame based on sixty-seven X/Ka-band (8.4/32 GHz) VLBI observing sessions (2005 to present), each of ∼24 hours duration, using the intercontinental baselines of NASA’s Deep Space Network (DSN): Goldstone, California to Madrid, Spain and Canberra, Australia. We detected 482 sources covering the full 24 hours of Right ascension and declinations down to −45◦. Comparison of 460 X/Ka sources in common with the international standard ICRF2 at S/X-band (2.3/8.4 GHz) shows wRMS agreement of 180 μas in α cosδ and 270 μas in δ . There is evidence for systematic errors at the 100 μas level. Known errors include limited SNR, lack of phase calibration, troposphere mismodelling, and limited southern geometry. Compared to S/X-band frames (e.g. ICRF2 (Ma et al, 2009)), X/Ka-band allows access to more compact source morphology and reduced core shift. Both these improvements allow for a more well-defined and stable reference frame at X/Ka-band. In the next decade, the optically-based Gaia mission (Lindegren, 2008) may produce a frame with competitive precision. By accurately registering radio frames with Gaia, we could study wavelength dependent systematic errors. A simulated frame tie between our X/Ka radio frame and the Gaia optical frame predicts a frame tie precision of 10–15 μas (1-σ , per 3-D rotation component) with anticipated radio improvements reducing that to 5–10 μas by Gaia’s end of mission ∼2021.

[1]  Ulrich Bastian,et al.  The Hipparcos catalogue , 2009 .

[2]  A. Konigl Relativistic jets as X-ray and gamma-ray sources. , 1981 .

[3]  M. Cropper,et al.  Gaia astrometric, photometric, and radial-velocity performance assessment methodologies to be used by the industrial system-level teams , 2022 .

[4]  J. Bradley IV. A letter from the Reverend Mr. James Bradley Savilian Professor of Astronomy at Oxford, and F. R. S. to Dr. Edmond Halley Astronom. Reg. &c. giving an account of a new discovered motion of the fix'd stars , 1728, Philosophical Transactions of the Royal Society of London.

[5]  Christopher S. Jacobs,et al.  Astrometry and geodesy with radio interferometry: experiments, models, results , 1998 .

[6]  Lennart Lindegren,et al.  The astrometric core solution for the Gaia mission. Overview of models, algorithms, and software implementation , 2011, 1112.4139.

[7]  Alan B. Tanner,et al.  Atmospheric Media Calibration for the Deep Space Network , 2007, Proceedings of the IEEE.

[8]  Robert N. Treuhaft,et al.  The effect of the dynamic wet troposphere on radio interferometric measurements , 1987 .

[9]  P. Withington,et al.  New Antenna Calibration Techniques in the Deep Space Network , 2007 .

[10]  A. Tanner Development of a high‐stability water vapor radiometer , 1998 .

[11]  G. Tuccari DBBC3 - A Full Digital Implementation of the VLBI2010 Backend , 2012 .

[12]  E. Halley I. Considerations on the change of the latitudes of some of the principal fixt stars , 1719, Philosophical Transactions of the Royal Society of London.

[13]  P. Véron,et al.  A catalogue of quasars and active nuclei: 13th edition , 2010 .

[14]  R. Hering,et al.  Fifth Fundamental Catalogue (FK5). Part 1. The Basic Fundamental Stars , 1988 .

[15]  C. Jacobs,et al.  Future radio reference frames and implications for the Gaia link , 2010 .

[16]  Stephen T. Lowe Theory of post-block 2 VLBI observable extraction , 1992 .

[17]  F. W. Bessel,et al.  On the parallax of 61 Cygni , 1838 .

[18]  R. Porcas Radio astrometry with chromatic AGN core positions , 2009, 0909.0933.

[19]  Alan Tanner,et al.  Design and performance of a high‐stability water vapor radiometer , 2003 .

[20]  F. Davarian,et al.  Mars Reconnaissance Orbiter Ka-band (32 GHz) Demonstration: Cruise Phase Operations , 2006 .

[21]  E. H. Sigman Phase Calibration Generator , 1988 .

[22]  Ulrich Bastian,et al.  The Gaia mission: science, organization and present status , 2007, Proceedings of the International Astronomical Union.

[23]  Richard S. Gross,et al.  Combinations of Earth Orientation Measurements: SPACE2001, COMB2001, and POLE2001 , 2002 .

[24]  Elliott Sigman,et al.  VLBI Data Acquisition Terminal Modernization at the Deep Space Network , 2012 .

[25]  Thomas A. Herring,et al.  Modeling of nutation and precession: New nutation series for nonrigid Earth and insights into the Ea , 2002 .