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APPLICATION OF A NEW FORMULA FOR ANGULAR VELOCITY OF ROTATION TO THE PLANETOID HAUMEA
- Authors: Kondratyev B.P.1,2
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Affiliations:
- Sternberg Astronomical Institute of Moscow State University
- Central Astronomical Observatory at Pulkovo
- Issue: Vol 102, No 3 (2025)
- Pages: 229–236
- Section: Articles
- URL: https://journals.rcsi.science/0004-6299/article/view/301728
- DOI: https://doi.org/10.31857/S0004629925030089
- EDN: https://elibrary.ru/FYWDAE
- ID: 301728
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Abstract
The aim of the work is to test a new formula for the angular velocity of rotation Ω of inhomogeneous equilibrium figures on the model of a unique rapidly rotating trans-Neptunian dwarf planet Haumea. The three-axis two-component model of Haumea consists of an ellipsoidal rocky core and a thick confocal ice shell. The parameters of this model are determined from a system of eight algebraic equations that take into account the complete kinematic-photometric information about the planetoid. Using the methods of potential theory, the components of the internal and external gravitational energy of the model on which this Ω depends are found. For this purpose, a refined expression for the gravitational energy of a homogeneous confocal shell and a formula for the mutual energy of the core and the shell are used. It was found that in order to be consistent with the observed rotation period of Haumea τrot = 3h.915, this model should be considered as a polytrope with the index 𝑛 ≈ 0.984. This result confirms the relevance of the developed method for studying inhomogeneous equilibrium figures.
About the authors
B. P. Kondratyev
Sternberg Astronomical Institute of Moscow State University; Central Astronomical Observatory at Pulkovo
Email: work@boris-kondratyev.ru
Moscow, Russia; Saint Petersburg, Russia
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