Some years ago I speculated something like this might be observed on close Earth flybys, but I thought the satellite motions would undergo turbulence (aside from the atmospheric effects) because of the effects of the quantum vacuum:

Newsgroups: sci.astro, sci.physics, sci.physics.relativity
From: "Robert Clark" <rcl...@op.net>
Date: 1997/09/28
Subject: A test for 'Sakharov gravity'?
http://groups.google.com/group/sci.physics/browse_frm/thread/4bfea19e65168e22/

I called it "Sakharov gravity" because Sakharov speculated the effects of gravity might be due to the "quantum vacuum". If you're really interested you can read about it in the general relativity textbook Gravitation, by Wheeler, Misner, and Thorne. (You have to be really interested because the book is a massive tome.)
To get a better idea on this would be to look at very low flybys conducted close to the Moon with very accurate radar rangers placed on the Moon's surface to look for deviations in the velocities.

Bob Clark