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Probing the mechanism of phase transitions in halogen-substituted solvatomorph crystals of benzimidamides via thermal and chemical stimuli. [PDF]
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Precession of the perihelion of Mercury
American Journal of Physics, 1988The equation of motion for a test mass in the gravitational field of a spherical mass is written in a form that can be used in an undergraduate mechanics course. A simple calculation of the general relativistic precession of the perihelion of Mercury is presented.
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Nonrelativistic contribution to Mercury’s perihelion precession
American Journal of Physics, 1979We present here a calculation of the precession of the perihelion of Mercury due to the perturbations from the outer planets. The time-average effect of each planet is calculated by replacing that planet with a ring of linear mass density equal to the mass of the planet divided by the circumference of its orbit.
Michael P. Price, William F. Rush
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Mercury’s precession according to special relativity
American Journal of Physics, 1986It is shown that special relativistic mechanics, when augmented by a particular version of the equivalence principle, predicts essentially the same numerical value as does the general theory for the precession anomaly of the planet Mercury. A possible laboratory experiment to test this version of the equivalence principle is discussed.
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Simulation and Visualization of Few-Body Systems and the Differential Precession of Mercury
Computing in Science and Engineering, 2014An approach investigates the applicability of a modified, symplectic leapfrog method with self-adjusted step-size control to the simulations of few-body Hamiltonian systems. The method is then applied to the direct calculation of the differential precession of Mercury due to general relativity and other planets.
Brett Marmaras, J. Jay Wang
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Perihelion Precession of Mercury
Nature, 1968THE equality of the gravitational mass and the inertial mass for all kinds of matter and energy—the equivalence principle—was assumed to be a universally valid principle by Einstein in building his relativistic theory of gravitation. This equality has been experimentally verified with great accuracy for single neutrons1, for samples of various ...
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Precession of the Orbit of Mercury
Doklady Physics, 2019The influence of the planets of the Solar System on the precession of the orbit of Mercury is investigated in the framework of classical mechanics. The influence of each planet on the motion of Mercury is calculated in the context of a restricted problem of three bodies: the Sun, the planet in question, and Mercury.
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Precession of the perihelion of Mercury’s orbit
American Journal of Physics, 2005The precession of the perihelion of Mercury’s orbit is calculated using the Laplace–Runge–Lenz vector. An approximate calculation that assumes the orbits of the perturbing planets are circular and coplanar with Mercury’s orbit is within 4.4% of the correct value.
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A new solution of the problem of the precession of Mercury
Chinese Astronomy and Astrophysics, 1990Abstract A variational principle is established based on the principle of least squares, which then gives a more precise answer to the question of the precession of Mercury.
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