# Temperature and orbital period

• rodrigues
In summary, the question asks for the orbital period of an asteroid with an equilibrium temperature of 200 K around the Sun. The question provides information about the Earth's radius, solar constant, and planetary albedo, and asks for the total power entering the Earth's atmosphere, the total power that would be absorbed in the absence of an atmosphere, and the surface temperature assuming the asteroid radiates all the energy it absorbs into space. The solution involves finding a relationship between the variables characterizing the asteroid, such as its radius, mass, and temperature, and its circular orbit radius.
rodrigues

## Homework Statement

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

## The Attempt at a Solution

I guess you have to just find a relationship btw the variables caracterising the asteroid knowing it is in circular orbit of radius R and that the asteroid is a ball of radius r, mass m and its temperature is 200K.

## 1. What is the relationship between temperature and orbital period?

The temperature of an object is directly related to its orbital period. As the orbital period increases, the temperature of the object decreases. This is due to the fact that objects with longer orbital periods are farther away from their heat source, such as a star or planet, resulting in lower temperatures.

## 2. How does the temperature of a planet affect its orbital period?

The temperature of a planet can affect its orbital period in a few different ways. First, a planet's temperature can determine its distance from its heat source, which in turn affects its orbital period. Additionally, as a planet's temperature changes, so does its mass and gravitational pull, which can also impact its orbital period.

## 3. What is the average temperature of a planet with a shorter orbital period?

The average temperature of a planet with a shorter orbital period is typically higher than that of a planet with a longer orbital period. This is due to the fact that a shorter orbital period means the planet is closer to its heat source, resulting in higher temperatures.

## 4. Can temperature changes affect the stability of an object's orbital period?

Yes, temperature changes can affect the stability of an object's orbital period. If the temperature of an object changes significantly, it can alter its mass and gravitational pull, which can then impact its orbital path and potentially cause it to deviate from its regular orbit.

## 5. How does the temperature of a star or planet affect its orbital period around a central body?

The temperature of a star or planet can affect its orbital period around a central body by influencing its distance from the central body and its gravitational pull. Objects with lower temperatures will have longer orbital periods, while those with higher temperatures will have shorter orbital periods.

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