How Does a Star's Mass Loss Affect Satellite Orbit Distances?

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Homework Help Overview

The problem involves a satellite in circular orbit around a star that experiences a sudden mass loss due to an explosion. The question focuses on how this mass loss affects the satellite's orbit, specifically the new distances of the orbit after the event.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of the star's mass loss on the satellite's angular momentum and kinetic energy. Questions are raised about whether any forces acted on the satellite and how the change in the star's mass affects the satellite's energy and orbit.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the conservation of energy and momentum, but no consensus has been reached on the implications for the satellite's orbit.

Contextual Notes

Participants note the importance of carefully reading the problem statement, particularly regarding the nature of the mass loss and its symmetrical distribution.

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Homework Statement



A satellite is in circular orbit of radius R about a star of mass M . The star
suddenly undergoes an explosion in which one percent of its mass is blown spherically
symmetrically to a large distance. What are the new nearest and furthest distances of
the satellite’s orbit around the star?

Homework Equations





The Attempt at a Solution



Am i right in thinking that both the angular momentum and energy of the star decrease..the new J = 0.99mrv and the new KE = 1/2 (0.99m)v^2? Same PE?
 
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Why should either the KE or the angular momentum of the satellite change? Did any force do any work on it? Or the force field ceased to be central?

ehild
 


ehild said:
Why should either the KE or the angular momentum of the satellite change? Did any force do any work on it? Or the force field ceased to be central?

ehild

it's mass changed! - i.e. the total PE and KE of remaining satellite + parts blown away is unchanged, yes..but surely the KE of the remaining bit of satellite decreases as its mass is less...?

Otherwise there would be no max/min distances that it asks us to calculate..
 


Read the text more carefully.

"The star suddenly undergoes an explosion in which one percent of its mass is blown spherically symmetrically to a large distance."

ehild
 

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