Two-Body-Problem with Changing Mass

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SUMMARY

The discussion centers on the implications of gradually changing the mass of one body in the classical two-body problem. It is established that a sudden change in mass is not feasible, as it raises questions about the fate of the mass. A specific example provided is the Sun, which experiences a constant mass loss, resulting in slightly larger orbits for the planets due to gravitational effects.

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  • Understanding of classical mechanics and gravitational interactions
  • Familiarity with the two-body problem in physics
  • Knowledge of orbital dynamics and mass loss effects
  • Basic grasp of astrophysics concepts related to stellar evolution
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  • Research the mathematical modeling of the two-body problem with variable mass
  • Study the effects of mass loss on planetary orbits in astrophysics
  • Explore the implications of changing mass in celestial mechanics
  • Learn about the Sun's mass loss and its impact on the solar system
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Flor
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Hi,

I would like to ask you what happens when you change (gradually) a mass of one body in a classical two-body-problem.

May it lead to such results?

emsyst-1-768x388.png


Many thanks.

Flor
 

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It depends on how you change the mass. The mass cannot suddenly disappear, what happens with it?

The Sun has a constant mass stream away from it, for example, as result the orbits of the planets get slightly larger.
 

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