Conservation of gravitational thermodynamics

Ok, so most of the heat generated in most planets comes from the radioactive decay of long lives isotopes, with some generated by friction and other sources.

If time passes and the planet "dies" or more simply is put into an isolated state (no rotation, no radiation etc..) so that only gravity is generating heat and any effects created by gravitational forces on the planet (like friction of heated substances and any other compression heat)

Would the amount of heat being generated by the gravitational forces and subsequent reactions and effects create any 'usable' amount of energy. Conservation of energy says no. But how would the math on this work out?

(1)What would be the highest heat/energy 'output' to gravitational 'pull' ratio achievable?

(2)Is there a potentially natural or artificial structure that could increase this ratio? (such as a denser than normal 'crust' less dense 'mantle' etc..)

(3)What does the model of such a planet look like? (is there even a 'core', 'mantle' and 'crust' zones?)

Thanks for any light shed on this 'dark' subject. I've always been interested in this question. Hoping for an answer that will be conducive to scifi writing. Otherwise I'll need to stretch the suspension of disbelief farther than I'd like :)

Note by Connor Knupp
3 years, 9 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link]( link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...