It is well known that a
variation in the direction of Earth’s
rotation axis is a real astronomical phenomenon, named nutation. It is interesting if a
variation of this axis can take place only in intensity, in the simplest
theoretical case of only two rigid body dynamics. This paper presents two
positions of the Moon during its monthly orbit, where a sudden variation of
Earth’s rotation axis in intensity
can take place. The duration of this phenomenon is limited in time, maybe an instant or a day,
and then a vortex can appear.
References
[1]
Euler, L. (1790) Theoria motus corporum solidorum sei ridigorum.
[2]
Valcovici, V., Balan, St. and Voinea, R. (1963) Mecanica Teoretica. Editura Tehnică, Bucureşti.
[3]
Astronomical Almanacs. Astronomical Yearbook, Romanian Academy.
[4]
Ciobanu, M.Z. (2021) About the Free and Forced Nutation: The Daily Nutation. American Journal of Astronomy and Astrophysics, 9, 18-21. https://doi.org/10.11648/j.ajaa.20210902.12
[5]
Chandler, S. (1893) On the Variation of Latitude, VIII. The Astronomical Journal, 13, 159-162. https://doi.org/10.1086/101956
[6]
Ciobanu, M.Z. (2019) A Rigorous Astrometrical Solution in the Case of the Euler-Poinsot Equations System. Romanian Astronomical Journal, 29, 103-108. https://ui.adsabs.harvard.edu/abs/2019RoAJ...29..103C/abstract http://www.astro.ro/~roaj/29_2/10-mciobanu_1905.pdf
[7]
Hameed, J. and Currie, R.S. (1989) Simulation of the 14-Month Chandler Wobble in a Global Climate Model. Geophysical Research Letters, 16, 247-250. https://doi.org/10.1029/GL016i003p00247