VARIATIONAL PRINCIPLE FOR PLANETARY INTERIORS
| Autor: | Li Zeng, Stein B. Jacobsen |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Earth and Planetary Astrophysics (astro-ph.EP)
Physics Equation of state Solar System 010504 meteorology & atmospheric sciences Differential equation Physical system FOS: Physical sciences Astronomy and Astrophysics 01 natural sciences Virial theorem Action (physics) Classical mechanics Space and Planetary Science Variational principle 0103 physical sciences Trajectory Astrophysics::Earth and Planetary Astrophysics 010303 astronomy & astrophysics Astrophysics - Earth and Planetary Astrophysics 0105 earth and related environmental sciences |
| Zdroj: | The Astrophysical Journal. 829:18 |
| ISSN: | 1538-4357 |
| Popis: | In the past few years, the number of confirmed planets has grown above 2000. It is clear that they represent a diversity of structures not seen in our own solar system. In addition to very detailed interior modeling, it is valuable to have a simple analytical framework for describing planetary structures. Variational principle is a fundamental principle in physics, entailing that a physical system follows the trajectory which minimizes its action. It is alternative to the differential equation formulation of a physical system. Applying this principle to planetary interior can beautifully summarize the set of differential equations into one, which provides us some insight into the problem. From it, a universal mass-radius relation, an estimate of error propagation from equation of state to mass-radius relation, and a form of virial theorem applicable to planetary interiors are derived. accepted by ApJ |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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