Said mrjesse: Can you find anyone at nasa who plans space missions and who agrees with you? The more I hear of your idea the more crazy it sounds.LOL They all agree with me : )
Actually, during its light-time, the Sun does move slightly around the barycenter (center of mass) of the solar system as a counter-balance to the massive jovian planets (Jupiter, Saturn, Uranus, and Neptune). Thus the true light-time correction of the Sun is extremely small, usually much smaller than 0.03".That's nowheres near your 2.1 degrees.
Light-time correction has absolutely no relation to the motion of the Earth with respect to the Sun.
For stars, we ignore light-time correction.Control Software for the Bochum Radio Telescope by James Miller G3RUH
It is able to calculate objects' coordinates properly, accounting for the whole litany of small corrections without regarding each as a special case and with various degrees of approximation. These are:Notice how they correct for the 20 arcseconds of Stellar Aberration but not for light-time correction of stars (the Sun is a star!) Why is this? I'm telling you that it is because like the sun, the stars are relatively motionless!
* Light-time correction (excepting stars)
* Gravitational deflection of light by the Sun
* Aberration due to velocity of Earth around Sun
There is another reason why observed positions differ from actual ones, which is simply movement that takes place while the light is on its way. This is called the light-time correction, and is of interest for satellites and other nearby, rapidly moving, objects. For stars, it is usually neglected.
Good luck : )