Mathematics
Scientific paper
Mar 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994p%26ss...42..213b&link_type=abstract
Planetary and Space Science (ISSN 0032-0633), vol. 42, no. 3, p. 213-219
Mathematics
1
Mercury (Planet), Planetary Mass, Radar Measurement, Visual Observation, Astronomical Observatories, Data Reduction, Flyby Missions, Least Squares Method, Mariner Spacecraft, Matrices (Mathematics), Rangefinding
Scientific paper
3872 transit circle and 1083 radar-ranging observations, covering a time span from 1914 to 1991, are used to estimate the mass of the planet Mercury. Two different vector norms, the L1 and the L2 (least squares), employed with an optimization method that does not linearize the equations of conduction reduce the data. The L1 norm calculates a mass 1/(6,019,269 +/- 233) in units of the solar mass and the L2 norm a mass of 1/(6,022,600 +/- 200). These values agree with the recommended International Astronomical Union (IAU) value for Mercury's mass, 1/(6,023,600 +/- 250), although not to within the stated formal mean errors. No reason exists to suspect a serious error in the recommended value for the mass.
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