I know this method of finding exoplanets has its problems, and the amount of visible light produced by us is not that significant, but logically if we could detect light coming from the dimmed region of sun activity that could be proof of alien civilization.
If an exoplanet orbits a star, can we observe the physical motion of the star back-and-forth compared to its background, in addition to detecting the Doppler effect of the star moving around its system’s center of gravity?
If we cannot observe the changing displacement of the star, then how do we know whether we are seeing the full Doppler “wobble” effect of its exoplanet(s), or just the z-axis component (looking directly outward from our vantage point) of the star’s wobble?
In short, how can we deduce the angle of the foreign solar system’s ecliptic relative to our vantage point?
I've been searching for the answer to this, and so far, my best answer is the the drop in luminosity = planet radius^2 x star radius^2 , but this does not take into consideration how far the planet is from its star. A planet orbiting 0.5 AU from its star would have a much smaller drop than a planet orbiting at 50 AU, correct? So why is this not taken into consideration when calculating the planet's radius? And if it is, then what is the equation?
If an exoplanet orbits a star, can we observe the physical motion of the star back-and-forth compared to its background, in addition to detecting the Doppler effect of the star moving around its system’s center of gravity?
If we cannot observe the changing displacement of the star, then how do we know whether we are seeing the full Doppler “wobble” effect of its exoplanet(s), or just the z-axis component (looking directly outward from our vantage point) of the star’s wobble?
In short, how can we deduce the angle of the foreign solar system’s ecliptic relative to our vantage point?
