The equations of motion, energy–momentum conservation, and perihelion precession are investigated.

The perihelion precession of Mercury was the first evidence that general relativity is correct.

"For Mercury, the perihelion precession rate due to general relativistic effects is 43" per century.

General relativity accounts for the anomalous perihelion precession of Mercury.

The only piece of original evidence was the consistency with the known perihelion precession of the planet Mercury.

His results, published in 1943, clearly showed the perihelion precession of Mercury predicted by the general theory of relativity.

Einstein used it to derive predictions such as the anomalous perihelion precession of the planet Mercury.

This is called perihelion precession or apsidal precession.

He worked on celestial mechanics and especially on the three body problem and the perihelion precession of Mercury's orbit.

Perihelion precession, caused by general relativity, in the case of Icarus is 10.05 arcseconds per Julian century.

This predicted the non-Newtonian perihelion precession of Mercury, and so had Einstein very excited.

During Mercury's orbit, its perihelion advances by a small amount each orbit, technically called perihelion precession.

That is singular perturbation problems of oscillatory type, for example Einstein's correction to the perihelion precession of Mercury.

The anomalous perihelion precession of Mercury was the first observational evidence that Newtonian gravity was not totally accurate.

He also made measurements of solar oblateness which were useful in understanding the perihelion precession of Mercury's orbit, one of the classical tests of general relativity.

The decision between those models was brought about by Einstein, when he was able to exactly derive the perihelion precession of Mercury, while the other theories gave erroneous results.

In the 1850s, Urbain Le Verrier made detailed calculations of Mercury's orbit and found a small discrepancy in the planet's perihelion precession from predicted values.

In celestial mechanics, perihelion precession, apsidal precession or orbital precession is the precession (rotation) of the orbit of a celestial body.

Those osculating elements change in a quasi-periodic and (in principle) predictable manner due to such effects as perturbations from planets or other bodies, and precession (e.g. perihelion precession).

The excess perihelion precession of Mercury's orbit led Le Verrier to postulate the intra-Mercurian planet Vulcan in 1859, but that would turn out to be an irrelevant thesis.

For example, it was known in 1859 that the observed perihelion precession of Mercury violated Newtonian mechanics, but the theory remained the best explanation available until relativity was supported by sufficient evidence.

The northern Martian polar ice cap could recede as Mars reaches a warming peak of the northern hemisphere during the 50,000 year perihelion precession aspect of its Milankovitch cycle.

General relativity has also been confirmed many times, the classic experiments being the perihelion precession of Mercury's orbit, the deflection of light by the Sun, and the gravitational redshift of light.

The theory predicts an anomalous perihelion precession of Mercury, but this disagrees in both sign and magnitude with the observed anomalous precession (the part which cannot be explained using Newtonian gravitation).

We show that the differential equation that occurs in a perturbative relativistic treatment of the perihelion precession of Mercury also leads to a simplified form of the Mathieu-Hill differential equation.