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Variational Principle for Planetary Interiors by Zeng, Li; Jacobsen, Stein B. is a scholarly article available to read on EtoBox.

What is Variational Principle for Planetary Interiors about?

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.

Author

Zeng, Li; Jacobsen, Stein B.

Published

2016

Language

EN