[Chondrally (OP)]

Yup! that is the right question now!

[Origin]

What negative entropy are you talking about?

[Bored chemist]

I don't think the question has much meaning, but the answer is k ln(1/w).

https://en.wikipedia.org/wiki/Boltzmann%27s_entropy_formula

[evan_au]

Is the question asking about the energy it would take to move a planet from its current orbit to distance "infinity" from its star (or even the galactic center)?
- But energy is different than entropy

Or is it asking about the number of possible planetary systems, and what is the probability of each possible configuration (each configuration could be considered a microstate, in the Boltzmann sense)?
- As more exoplanets have been discovered, it has been seen that our solar system is a bit of an exception
- But current exoplanet searches have not really been long enough to detect Earth-like planets orbiting Sun-like stars
- To get confirmation, you need to see a planet pass in front of its star 3 times; in the case of the Earth, this would take a minimum of 3 years.
- Detecting planets orbiting at the distance of Jupiter would take about 40 years (on average)
- Unfortunately, the Kepler space probe suffered some malfunctions that prevented it from observing the intended area for a full 3 years. But it still holds the record for the most exoplanets discovered (almost 2500).
- The TESS mission is just underway, but astronomers hope TESS should discover more exoplanets than Kepler in its first 2 years.
See: https://en.wikipedia.org/wiki/List_of_exoplanet_search_projects#Space_missions