Secular increase of astronomical unit from analysis of the major planet motions, and its interpretation

By G. Krasinsky, V. Brumberg. 2004

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Photon and graviton mass limits (2008, background): “With the caveats of a few so-far unexplained anomalies (Pioneer (185; 186), flyby (187; 188), variation of the AU with time (189)), there have been no unambiguous positive results.”
Influence of global cosmological expansion on local dynamics and kinematics (2008, background): “1 For example, is it obvious that the Astronomical Unit is not affected by global expansion (compare (Krasinsky and Brumberg, 2004; Standish, 2004)) or can it even be, as e.g. suggested in (Fahr and Siewert, 2008), that our Universe is contracting on small scales while it expands in the large?”
Precision Timing of PSR J0437–4715: An Accurate Pulsar Distance, a High Pulsar Mass, and a Limit on the Variation of Newton’s Gravitational Constant (2008, background): “Current planetary radar experiments (Krasinsky & Brumberg 2004) have measured a significant linear increase of dAU/dt ¼ 0:15 0:04 m yr 1, which may imply Ġ/G ¼ ( 10 3) ; 10 13 yr 1, just beyond the sensitivity of the limits listed above.”