Satellite tracking - Dynamics, Angular velocity, Circular motion

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Homework Help Overview

The discussion revolves around a dynamics problem involving a satellite in circular motion, specifically its trajectory relative to a tracking station on Earth. The satellite orbits at a height of 1600 km above the Earth's surface, with the Earth’s radius being 6400 km. The problem requires determining the time at which the satellite will pass through the beam of an antenna aimed at a 30-degree angle above the horizon.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the use of trigonometry to find distances and angles related to the satellite's orbit. There are discussions about calculating the satellite's speed and the arc length of its path. Questions arise regarding the necessary angles and whether the sine rule is applicable for solving the problem.

Discussion Status

The conversation is ongoing, with participants sharing their attempts and challenges in applying trigonometric concepts. Some express frustration with the complexity of the trigonometry involved, while others suggest different approaches, including the sine rule and basic ratios. There is no explicit consensus on the best method yet.

Contextual Notes

Participants note that certain methods, such as arc length calculations, may not be permitted in their homework context. There are also references to the limitations of their current understanding of trigonometry, which impacts their ability to progress in solving the problem.

  • #31
Coto said:
Overkill :). And this only finds a velocity which can be found using the data of the problem in a more direct manner.

What can I say other than I'm a nerd and yes I'm proud of it :)
 

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