How Does Weight Loss Affect the Orbital Period of a Satellite?

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Homework Help Overview

The discussion revolves around the effects of weight loss on the orbital period of a satellite, specifically considering the implications of an individual's mass change within an isolated system, such as an artificial satellite. Participants explore the relationship between mass and orbital mechanics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster questions whether their weight loss would affect the satellite's orbital period and where the lost mass would be accounted for. Other participants discuss the implications of waste management in the satellite and the factors that actually determine orbital period.

Discussion Status

The discussion is exploring various interpretations of how mass affects orbital mechanics, with some participants providing insights into the relationship between the satellite's mass and the planet's mass. There is no explicit consensus, but productive points about the factors influencing orbital period have been raised.

Contextual Notes

Participants are considering the assumptions related to mass conservation in an isolated system and the specific conditions of weight loss in a microgravity environment.

aalmighty
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I weigh 200 pounds today on earth, now I go Into an Isolated System (Say, an artificial Satellite) for six months, I eat healthy foods, drink a lot of water and regularly exercize (due to lack of anything else to do :D), so I'll lose weight, and hence mass.

1) Will there be any change in the time period of the satellite?

2) If not, which means the satellite has the same mass as when it was launched, where is the mass that I lost by exercizing?
 
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Well, if your waste isn't thrown out of the space station, but kept on, the overall mass of the station will never change as long as you stay on...
 
Over 100 days your body will have radiated away the equivalent of roughly 10 mcg of mass. :)
 
moose said:
Well, if your waste isn't thrown out of the space station, but kept on, the overall mass of the station will never change as long as you stay on...

and even if you did toss the waste (or the lost body weight), the mass of the satellite has (virtually) nothing to do with the orbital period. it's the mass of the planet the satellite is going around (as well as the radius of orbit, assuming a circular orbit) that controls the period.
 

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