Universal Gravitation - Satellites

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Homework Help Overview

The discussion revolves around the orbital mechanics of the Explorer VIII satellite, specifically focusing on calculating the ratio of speeds at perigee and apogee in an elliptical orbit.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the nature of the satellite's orbit, identifying it as elliptical and suggesting the use of relevant formulas related to orbital dynamics. Questions arise regarding the application of conservation laws, particularly angular momentum and energy, to derive necessary relationships.

Discussion Status

There is an ongoing exploration of concepts related to elliptical orbits and the application of conservation principles. Some participants have offered guidance on potential approaches, while others are clarifying the foundational aspects of the problem.

Contextual Notes

Participants note the need for specific formulas related to elliptical orbits and the dynamics of satellite motion, indicating that prior knowledge or resources may be required to fully engage with the problem.

BbyBlue24
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The Explorer VIII satellite, placed into orbit November 3, 1960, to investigate the ionosphere, had the following orbit parameters: perigee, 459 km; apogee, 2289 km (both distances above the Earth's surface); period, 112.7 min. Find the ratio vp/va of the speed at perigee to that at apogee.
 
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Well in order to know the answer you first got to know what kind of orbit this satellite makes. In this case it is quite straightforward to conclude we are dealing with an elliptical orbit. Now, i don't know at what level you are dealing with these issues here but i am sure you have some formula's in your notes that relate the elliptical caracteristics to the dynamics of the movement. Something like the speed of the object along the ellips as a function of the great axis a...or the eccentricity of the trajectory...

regards
marlon
 
He could use conservation of angular momentum for the satellites.
 
Cyclovenom said:
He could use conservation of angular momentum for the satellites.


true story...it is this property together with conservation of total energy that will give rise to the formula's needed to solve this problem...


marlon
 

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