Interplanetary Measures Can Not Bound the Cosmological Constant
Abstract
The effect of a cosmological constant on the precession of the line of apsides is O(Λc2 r3/GM) which is 3(H P)2/8π2 ≈ 10-23 for a vacuum-dominated Universe with Hubble constant H = 65 km/sec/Mpc and for the orbital period P = 88 days of Mercury. This is unmeasurably small, so planetary perturbations cannot be used to limit the cosmological constant, contrary to the suggestion by Cardona & Tejeiro (1998).
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