Geodesic
Loops in the Sun’s orbit
Theoretical and applied mechanics, Tome 40 (2013) no. 1, p. 127 .

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Besides translation, spin around its axis and rotation around center of the Milky Way, the Sun performs relative motion in the solar system Laplacian plane, also. This motion was anticipated by Newton himself, in his Principia. The form of the Sun’s orbit is substantially different from the other solar system bodies’ orbits. Namely, the Sun moves along the path composed of the chain of large and small loops [1, 2, 6, 9]. This chain is situated within the circular outline with the diameter approximately twice as large as the Sun’s is. Under supposition that the solar system is stable, the Sun is going to move along it, in the same region, for eternity, never reitereiting the same path. It was also shown in this work that velocity and acceleration of the Sun’s center of mass are completely defined by the relative velocities and accelerations of the planets with respect to the Sun.
DOI : 10.2298/TAM1301127M
Classification : 70F15 70M20
Keywords: loops in the Sun’s orbit, velocity, acceleration 
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Milutin Marjanov. Loops in the Sun’s orbit. Theoretical and applied mechanics, Tome 40 (2013) no. 1, p. 127 . doi : 10.2298/TAM1301127M. http://geodesic.mathdoc.fr/articles/10.2298/TAM1301127M/

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