Homework Help Overview
The discussion revolves around determining the distance from a location to space as a function of the zenith angle, with a specific height of approximately 100 km at 0 degrees zenith angle. The problem involves geometric considerations related to the Earth's shape and atmosphere.
Discussion Character
- Exploratory, Assumption checking, Problem interpretation
Approaches and Questions Raised
- Participants discuss using the law of cosines and consider the implications of approximating the Earth as flat versus spherical. Questions arise regarding the necessity of a Taylor expansion and the validity of different geometric approaches.
Discussion Status
Several approaches have been suggested, including a flat Earth approximation and a spherical Earth model. Participants are exploring the implications of these methods, particularly concerning the behavior of the solution as angles approach horizontal. No consensus has been reached, but various interpretations and methods are being actively discussed.
Contextual Notes
Participants note that the height of 100 km may be considered small relative to the Earth's radius, which influences the choice of approximation. There is also mention of potential complications in the calculations for angles approaching horizontal.