view Abstract Citations References Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS A Dynamical Determination of the Astronomical Unit by a Least-Squares Fit to the Orbit of Pioneer V. McGuire, J. B. ; Morrison, D. D. ; Wong, L. Abstract Squares Fit to the Orbit of Pioneer V. J. B. McG~i~~, D. D. MORRISON, AND L.WONG, Space Technology Laboratories, Inc., Los Angeles, California (introduced by GUIDO M~~~c~). -The astronomical unit has long eluded precise determination because it enters the two-body Kepler problem as a scale factor, and as a scale factor changes in the size of the astronomical unit do not change any angular measurement. Since angles are the primary measured quantitites of classical astronomy, the astronomical unit does not enter the dynamics and thus the astronomical unit has been determined by geometrical means (i.e., measuring solar parallax). If, however, one is concerned with a three-body problem, the effect of a change in the astronomical unit is to add a secular (i.e., time-increasing) perturbation to the motion. This effect has been utilized by E. K. Rabe (1950, Astron. J. 54, 112) in the so- called dynamical method of astronomical unit determination. It was first suggested by R. C. Booton (1960, Space Technology Laboratories Tech. Rept. 60-0000- 00215) that the orbit of an interplanetary probe could be affected (since it is a three-body problem) by a change in the astronomical unit, and thus the astronomical unit should be measurable by a least- squares fit to the radio Doppler data from such a probe. Previous determinations of the astronomical unit have been made by both dynamical and geometrical means. The most recent of the dynamical measurements is that of Rabe, which has a quoted accuracy of *4~4 parts in 10~. The most recent geometrical measurement is that of Spencer-Jones (1941, Mcm. Roy. Astron. Soc. LXVI, Part II) which has a quoted accuracy of *1.1 parts in 10~. The measured values of the astronomical unit, however, differ by one part in 10~. At the time of writing of this abstract the tracking of the Pioneer V probe is incomplete; thus the accuracy of the measurement of the astronomical unit is as yet unknown. Unfortunately, radio contact with Pioneer V will not be maintained to a sufficient distance from the earth to effect any improvement in the uncertainties in the astronomical unit quoted by Rabe. It is hoped, however, that sufficient accuracy will be attained to lend more weight to either Rabe or the Spencer-Jones value of the astronomical unit. It will be shown that Doppler tracking of an interplanetary probe to a distance of 80000000 miles from the earth could yield a value of the astronomical unit which is competitive in accuracy with Rabe's determination. Supported by National Aeronautics and Space Administration. Publication: The Astronomical Journal Pub Date: 1960 DOI: 10.1086/108136 Bibcode: 1960AJ.....65R.493M full text sources ADS |