Resonance rotation of celestial bodies and Cassini's laws

1972 ◽  
Vol 6 (3) ◽  
pp. 356-378 ◽  
Author(s):  
V. V. Beletskii
2021 ◽  
Author(s):  
Lev Borisovich Velgas ◽  
Liya Lvovna Iavolinskaia

Existing Astronomy stands on two completely false postulates: the first postulate is that the rotation of celestial bodies around their own axis occurs by inertia. The second postulate is that the Sun and the stars have Fusion Energy. In the article, using the formulations of discoveries with brief proofs, we consistently destroy these imaginary postulates and the consequences of these postulates. For example, if there is no thermonuclear reaction in the stars. This means that nothing burns out inside the star, and there is no reason and possibility for collapse, and there can be no consequences from collapse. And we offer new real foundations, alternative Energy. Based on the new established facts, it becomes clear in which cases celestial bodies do not rotate, and in which cases they rotate around their axis. In reality, only those bodies that have satellites rotate intensively around their axis. And these bodies, which have satellites, also have other important properties.


Nature ◽  
1950 ◽  
Vol 166 (4209) ◽  
pp. 31-31 ◽  
Author(s):  
A. E. BENFIELD

2003 ◽  
Vol 12 (05) ◽  
pp. 811-824 ◽  
Author(s):  
JIN-HE TAO ◽  
CHONG-MING XU

Applying the Damour–Soffel–Xu framework of general-relativistic celestial mechanics, the theory of relativistic rigid body presented by Thorne and Gürsel is extended and developed in this paper. We successfully construct a quasi-rigid body model in the full post-Newtonian framework for the first time. This model has some simple properties in a similar way to the Newtonian rigid body, and it could be applied in geodynamics and astronomy, for example, to solve problems on rotation or precession of celestial bodies when relativistic effects are not negligible.


2013 ◽  
Vol 17 (4) ◽  
pp. 48-51
Author(s):  
Kamil Madáč ◽  
Andrej Madáč

1999 ◽  
Vol 173 ◽  
pp. 309-314 ◽  
Author(s):  
T. Fukushima

AbstractBy using the stability condition and general formulas developed by Fukushima (1998 = Paper I) we discovered that, just as in the case of the explicit symmetric multistep methods (Quinlan and Tremaine, 1990), when integrating orbital motions of celestial bodies, the implicit symmetric multistep methods used in the predictor-corrector manner lead to integration errors in position which grow linearly with the integration time if the stepsizes adopted are sufficiently small and if the number of corrections is sufficiently large, say two or three. We confirmed also that the symmetric methods (explicit or implicit) would produce the stepsize-dependent instabilities/resonances, which was discovered by A. Toomre in 1991 and confirmed by G.D. Quinlan for some high order explicit methods. Although the implicit methods require twice or more computational time for the same stepsize than the explicit symmetric ones do, they seem to be preferable since they reduce these undesirable features significantly.


Among the celestial bodies the sun is certainly the first which should attract our notice. It is a fountain of light that illuminates the world! it is the cause of that heat which main­tains the productive power of nature, and makes the earth a fit habitation for man! it is the central body of the planetary system; and what renders a knowledge of its nature still more interesting to us is, that the numberless stars which compose the universe, appear, by the strictest analogy, to be similar bodies. Their innate light is so intense, that it reaches the eye of the observer from the remotest regions of space, and forcibly claims his notice. Now, if we are convinced that an inquiry into the nature and properties of the sun is highly worthy of our notice, we may also with great satisfaction reflect on the considerable progress that has already been made in our knowledge of this eminent body. It would require a long detail to enumerate all the various discoveries which have been made on this subject; I shall, therefore, content myself with giving only the most capital of them.


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