In this post, the author explores different methods to determine the distance to the Sun. They first discuss Aristarchus’ geometric method, which underestimated the distance. Then, they introduce the idea of using the speed of light as a limit for determining the maximum distance to the Sun. The author also explains why measuring the time it takes for light to travel from the Sun to Earth is not a feasible method. They then delve into the concept of escape velocity and how it can be used to calculate the maximum radius and allowed range for the Sun. The post concludes by stating that the range of possible distances to the Sun is now below 10,000.
https://profmattstrassler.com/2024/01/19/how-far-could-the-sun-possibly-be/