What Is the Orbital Period of an Asteroid with a Temperature of 200 K?

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SUMMARY

The orbital period of an asteroid with an equilibrium temperature of 200 K can be calculated using the principles of energy balance and Kepler's laws. Given the Earth's radius of 6370 km, a solar constant of 1370 W/m², and a planetary albedo of 0.31, the total power entering the atmosphere and the energy absorbed must be considered. The temperature of an orbiting body is determined by the balance between absorbed solar energy and emitted thermal radiation, disregarding atmospheric effects for simplification.

PREREQUISITES
  • Understanding of Kepler's laws of planetary motion
  • Familiarity with the concept of energy balance in astrophysics
  • Knowledge of solar constants and planetary albedo
  • Basic grasp of thermal radiation principles
NEXT STEPS
  • Research the calculation of orbital periods using Kepler's Third Law
  • Study the effects of albedo on planetary temperature
  • Learn about the Stefan-Boltzmann Law for thermal radiation
  • Explore the concept of equilibrium temperature for celestial bodies
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Astronomers, astrophysicists, students studying celestial mechanics, and anyone interested in the thermal dynamics of asteroids and their orbital characteristics.

rodrigues
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Hi everyone,

was hoping someone could help me to answer a question:

an ateroid has an equilibrium temperature measured as 200 K. What is the object's orbital period around the Sun?

That is the exact wording of that particular question and that's why I am a little stumped.. it also says to base it upon your considerations in question #4, which reads

assuming the Earth's radius is 637 km, the solar constant is 1370 w/m2, and our planetary albedo is 0.31, then:
(a) determine total power entering Earth's atmosphere
(b) the total power that would be asborbed in the absence of an atmosphere
© surface temperature assuming it radiated into space all the energy it absorbed
 
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rodrigues said:
an ateroid has an equilibrium temperature measured as 200 K. What is the object's orbital period around the Sun?

You need to show some work before we can help you. What determines the temperature of an orbiting body? Disregard complicated atmospheric effects. What simple approximation might you make to describe its energy output?


assuming the Earth's radius is 637 km, the solar constant is 1370 w/m2, and our planetary albedo is 0.31, then:
(a) determine total power entering Earth's atmosphere
(b) the total power that would be asborbed in the absence of an atmosphere
© surface temperature assuming it radiated into space all the energy it absorbed

Same here, you need to show some work. What are the units of power? What is the source of the power?
 
oops posted too soon, sec let me finish it
 
nvm got it :)
 
Last edited:
I do hope that the radius of the Earth is 6370 km
 

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