There is a chance that since the moon's gravity is strongest at that point this will minimize the orbital decay. The satellite could also be placed to periodically pass through the high tide to reduce on orbital decay.
The satellite is very firmly experiencing the pull of Earth's gravity - otherwise it would not travel in a closed path!
Objects aboard the satellite may be weightless, but the whole craft is quite definitely affected by gravity.
If you really were a launch director at NASA in 2013 (as your ResearchGate biography says) you would know this.
Or is that a strange joke that I do not understand?
In our current understanding of atomic physics an electron's behaviour in an atom is not similar in any meaningful way to that of a body in a gravitationally bound orbit around another mass
By requiring the satellite to be poised permanently above the bulge of high tide, your proposed satellite appears to be at either the Moon's position (not a viable location) or directly opposite the Moon on the far side of its orbit.
In either case your craft is 0.7 lightsecond away from the Earth and there is no conceivable influence on the satellite's orbit from the tidal bulge of water - as it is not moving from the satellite's perspective.
However, if you were to position the craft at a smaller orbital radius, the craft would 'see' the tidal bulge moving beneath it. If the Earth was devoid of other masscons (and it is not) and if you also had the craft shielded from atmospheric drag with a free-flying shield ahead of it, the coming and going of that bulge would cause detectable changes in the satellite's orbit.
The satellite is very firmly experiencing the pull of Earth's gravity - otherwise it would not travel in a closed path!
Objects aboard the satellite may be weightless, but the whole craft is quite definitely affected by gravity.
If you really were a launch director at NASA in 2013 (as your ResearchGate biography says) you would know this.
Or is that a strange joke that I do not understand?
In our current understanding of atomic physics an electron's behaviour in an atom is not similar in any meaningful way to that of a body in a gravitationally bound orbit around another mass
I think you should also consider a number of points for accuracy (1) the effect of quantum gravity since the satellite has some gravitational force or perturbation (2) the time of day and year when the satellite passes the sun and moon and earth relative coordinates etc.. But these are quantum calculations which I guess you can ignore. So take net gravitational effect. Thanks.