Calculating Dust Particle Size in Solar System Orbit - Electromagnetism Help

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SUMMARY

This discussion focuses on calculating the maximum size of spherical dust particles in solar system orbits, considering their density of 2000 kg/m³ and the total luminosity of the Sun. Participants explore the Poynting vector to determine radiation pressure and its effects on dust particles. Key equations include P=F/A, F=GMm/R², and the relationship P(radiation)=S/c. The Poynting vector is defined as P=[HxE], which is crucial for understanding electromagnetic radiation's impact on these particles.

PREREQUISITES
  • Understanding of electromagnetism principles, specifically the Poynting vector.
  • Familiarity with gravitational force equations, particularly F=GMm/R².
  • Knowledge of solar luminosity and its implications for radiation pressure.
  • Basic skills in physics problem-solving related to spherical objects and density calculations.
NEXT STEPS
  • Learn how to calculate the Poynting vector in various electromagnetic contexts.
  • Study the implications of solar luminosity on orbital mechanics.
  • Explore the relationship between radiation pressure and particle size in astrophysics.
  • Investigate the effects of different densities on the stability of dust particles in space.
USEFUL FOR

Astronomy students, physicists, and researchers interested in orbital mechanics and the behavior of dust particles in the solar system will benefit from this discussion.

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Homework Statement


Assume that dust particle in the solar system are spherical, black and have a density of 2000kg/m^3. Use the total luminosity of the sun to calculate the time average poynting vector of the radiation at a distance r from the Sun. Hence estimate what is the maximum size of a dust particle that can be help in orbit by gravity around the sun without being blown away by radiation pressure.


Homework Equations




The Attempt at a Solution


I have no idea about finding the poynting vector

For the second bit do i use P=F/A and F=GMm/R^2, and P(radiation)=S/c?
 
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If you use the luminosity equation I=P/A you don't need to work out the pointing vector. The P value from the previous equation will give you that.

For your own info P=[HxE] is the Poynting vector.
 

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