History of the mass of Mercury

Computer Science

Scientific paper

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Histories, Mercury (Planet), Planetary Mass, Density (Mass/Volume), Differential Equations, Errors, Least Squares Method, Nonlinear Equations, Planetary Orbits, Planets, Random Variables

Scientific paper

A historical investigation reveals that Newcomb omitted to complete the calculation for the mass of mercury which would have given 8,405,291(-1), but instead arbitrarily adopted a value of 6,000,000(-1). This baseless figure 6000000(-1) became generally accepted and adopted in subsequent attempts to improve the mass. That only small changes have emerged is likely to be no more than a consequence of relying on a least squares process. Reduction of the Mercury mass to 9,000,000(-1) would alter theoretical angular positions of Venus by less than inherent observational errors, but the theoretical distances would be changed by amounts probably capable of detection by radar means.

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