Computing Jupiter's Thermal Time Scale

In summary, Jupiter's thermal time scale can be computed using the Kelvin-Helmholtz equation, with a substitution of the intrinsic luminosity of Jupiter as a fraction of the solar luminosity. With a radius of 7.0x109cm and a mass of 1.9x1030g, it is possible that gravitational collapse could power this luminosity for Jupiter's entire lifetime of 4.5 Gyr. To calculate the thermal time scale, the 8.7x10-10Lo value must be converted to erg/s.
  • #1
jkrivda
8
0
1. Jupiter radiates more energy than it receives from the Sun by 8.7x10-10L0. Jupiter's radius is 7.0x109cm and its mass is 1.9x1030g. Compute its thermal time scale. Could gravitational collapse power this luminosity for Jupiter's entire lifetime of 4.5 Gyr?



2. Kelvin-Helmholtz (aka thermal) timescale equation is given by: t=ΔEg/L . ΔEg=GM2/R ... so, t=GM2/RL



3. Not sure what to sub in for "L" in the timescale equation. I'm guessing I have to use the 8.7x10-10 to figure that out. Any tips in the right direction would be greatly appreciated!
 
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  • #2
L for the timescale equation is just the luminosity of Jupiter. 8.7x10-10Lo is referring to the intrinsic luminosity of Jupiter as a fraction of the solar luminosity. Astronomical units that have that subscript that looks like a dot with a circle around it are solar units.
 
  • #3
so i just convert the solar luminosity fraction to erg/s and then plug and chug?
 

1. What is Jupiter's thermal time scale?

Jupiter's thermal time scale is a measure of how quickly the planet's interior can cool down and reach thermal equilibrium. It is typically expressed in units of years.

2. How is Jupiter's thermal time scale calculated?

The thermal time scale of Jupiter is calculated by dividing the planet's total energy content by the rate at which energy is lost from its interior. This involves complex models and simulations of Jupiter's internal structure and dynamics.

3. What factors affect Jupiter's thermal time scale?

The thermal time scale of Jupiter is influenced by various factors such as the planet's size, composition, and internal heat sources. The presence of a strong magnetic field and atmospheric processes can also impact the thermal time scale.

4. Why is it important to study Jupiter's thermal time scale?

Understanding Jupiter's thermal time scale is crucial for gaining insights into the planet's internal processes and evolution. It can also provide valuable information about the formation and evolution of gas giant planets in general.

5. How can knowing Jupiter's thermal time scale benefit us?

Knowing Jupiter's thermal time scale can help us to better understand the overall dynamics and behavior of the planet. It can also aid in predicting future changes and phenomena on Jupiter, such as atmospheric patterns and changes in magnetic fields.

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