Motion and rotation of celestial bodies in the post-Newtonian approximation

1987 ◽  
Vol 42 (1-4) ◽  
pp. 293-307 ◽  
Author(s):  
A. V. Voinov
Keyword(s):  
Newtonian Approximation ◽  
Rotation Of Celestial Bodies ◽  
Celestial Bodies

scholarly journals Relativistic equations of motion of celestial bodies

1996 ◽  
Vol 172 ◽  
pp. 303-308
Author(s):  
Michael H. Soffel
Keyword(s):  
Angular Velocity ◽  
Equations Of Motion ◽  
Moments Of Inertia ◽  
Newtonian Approximation ◽  
Celestial Bodies ◽  
Velocity Moments ◽  
Relativistic Equations

The problem of relativistic equations of motion for extended celestial bodies in the first post-Newtonian approximation is reviewed. It is argued that the problems dealing with kinematical aspects have been solved in a satisfactory way, but more work has to be done on the dynamical side. Concepts like angular velocity, moments of inertia, Tisserand axes etc. still have to be introduced in a rigorous manner at the 1PN level.

scholarly journals Sun Energy Is Electric, Neutron Stars Do Not Exist

2021 ◽  
Author(s):  
Lev Borisovich Velgas ◽  
Liya Lvovna Iavolinskaia
Keyword(s):  
Neutron Stars ◽  
Alternative Energy ◽  
Fusion Energy ◽  
The Sun ◽  
Thermonuclear Reaction ◽  
Rotation Of Celestial Bodies ◽  
Celestial Bodies

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.

scholarly journals Magnetism and the Rotation of Celestial Bodies

Nature ◽  
1950 ◽  
Vol 166 (4209) ◽  
pp. 31-31 ◽  
Author(s):  
A. E. BENFIELD
Keyword(s):  
Rotation Of Celestial Bodies ◽  
Celestial Bodies

A MODEL OF 1PN QUASI-RIGID BODY FOR ROTATION OF CELESTIAL BODIES

2003 ◽  
Vol 12 (05) ◽  
pp. 811-824 ◽  
Author(s):  
JIN-HE TAO ◽  
CHONG-MING XU
Keyword(s):  
Rigid Body ◽  
Celestial Mechanics ◽  
Relativistic Effects ◽  
Body Model ◽  
Rotation Of Celestial Bodies ◽  
Rigid Body Model ◽  
Celestial Bodies ◽  
General Relativistic ◽  
First Time

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.

scholarly journals Orbital Radii and Rotation of Celestial Bodies

2013 ◽  
Vol 17 (4) ◽  
pp. 48-51
Author(s):  
Kamil Madáč ◽  
Andrej Madáč
Keyword(s):  
Rotation Of Celestial Bodies ◽  
Celestial Bodies

Symmetric Multistep Methods Revisited: II. Numerical Experiments

1999 ◽  
Vol 173 ◽  
pp. 309-314 ◽  
Author(s):  
T. Fukushima
Keyword(s):  
Multistep Methods ◽  
Computational Time ◽  
Integration Time ◽  
Implicit Methods ◽  
Symmetric Methods ◽  
Celestial Bodies ◽  
The Stability ◽  
Predictor Corrector ◽  
Symmetric Multistep Methods ◽  
Integration Errors

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.

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