The planetary orbits have been studied as ellipses but the solar system is in motion in relation to the distant stars. Their path is along the tip of an helix and the ecliptic plane is a convenient plane of projection. I think that the studies were never conducted under this viewpoint.
The sunlight we see now was emitted more than 8 minutes ago when the Sun was ‘below’ the ecliptic but we see it centered in the plane. I wonder why we do not see any consequence of this.
I’m following a line of reasoning that the motion can have consequences and I revisited the anomalous precession of the perihelion of Mercury, settled long time ago by Einstein, and I found this perturbing equation:
$$\frac{43}{5557} = 2\pi\frac{369.2\ \text{km}\ \text{s}^{−1}}{299792.458\ \text{km}\ \text{s}^{−1}}$$
Where 5557 is the predicted theoretical value (in mathpages) for the advance and the 43 is the anomaly.
The simplicity of the formula $$\text{error}/\text{theoric}=2\pi\ V/c$$ and because $V$ is 0.054% off the central measured value of the speed of solar system - $369(\pm0.9$) - makes me wonder if this can be more than a coincidence.
Any kind of reasoning on the why's will be helpful.
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