On Earth, seasons occur due to the tilt of our planet. In the SSDS (A Dyson Sphere built around our sun), we can cause seasons to occur by having the Dyson sphere be not perfectly centered around the sun. If you want the sun to be 10% closer to the one side of the Dyson sphere in “Summer” and 10% further than average in “Winter”, what will be the length of a “year”?
None given, but we are all pretty familiar with angular kinematics, gravitation, and most other ideas in introductory physics.
The Attempt at a Solution
This is a group challenge problem for the last section of intro calc-physics. We are having trouble deciding how to interpret the problem. First, we tried to solve the problem using properties of angular velocity, but it didn't end up making a whole lot of sense. We then made the assumption that the Dyson sphere is similar to the earth-sun system, so we adjusted "R" to be +/- 10% and solved for the period. We got an answer (366.8 days) but conceptually this makes no sense.
Any thoughts/ideas or bumps in the right direction would be greatly appreciated. Thanks!