The orientation of Mercury's orbit is found to precess in space over time,
as indicated in the adjacent figure (the magnitude of the effect is greatly
exaggerated in this figure). This is commonly called the "precession of the
perihelion", because it causes the position of the perihelion to move. Only
part of this can be accounted for by perturbations in Newton's theory. There
is an extra 43 seconds of arc per century in this precession that is predicted
by the Theory of General Relativity and observed to occur (a second of arc is
1/3600 of an angular degree). This effect is extremely small, but the
measurements are very precise and can detect such small effects very well.
Einstein's theory predicts that the direction of light propagation should
be changed in a gravitational field, contrary to the Newtonian predictions.
Precise observations indicate that Einstein is right, both about the effect
and its magnitude. A striking consequence is gravitational
lensing.
The General Theory of Relativity predicts that light coming from a strong
gravitational field should have its wavelength shifted to larger values (what
astronomers call a "red shift"), again contary to Newton's theory. Once again,
detailed observations indicate such a red shift, and that its magnitude is
correctly given by Einstein's theory.
The electromagnetic field can have waves
in it that carry energy and that we call light. Likewise, the gravitational
field can have waves that carry energy and are called gravitational
waves. These may be thought of as ripples in the curvature
of spacetime that travel at the speed of light.
Just as accelerating charges can emit electromagnetic waves, accelerating
masses can emit gravitational waves. However gravitational waves are difficult
to detect because they are very weak and no conclusive evidence has yet been
reported for their direct observation. They have been observed
indirectly in the binary
pulsar. Because the arrival time of pulses from the pulsar
can be measured very precisely, it can be determined that the period of the
binary system is gradually decreasing. It is found that the rate of period
change (about 75 millionths of a second each year) is what would be expected
for energy being lost to gravitational radiation, as predicted by the Theory
of General Relativity.
The Modern Theory of Gravitation
And there is stands to the present day.
Our best current theory of gravitation is the General Theory of Relativity.
However, only if velocities are comparable to that of light, or gravitational
fields are much larger than those encountered on the Earth, do the Relativity
theory and Newton's theories differ in their predictions. Under most conditions
Newton's three laws and his theory of gravitation are adequate. We shall return
to this issue in our subsequent discussion of cosmology.
For a more comprehensive introduction to both Special and General Relativity,
see the links at Relativity
on the WWW, and The
Light Cone (An Illuminating Introduction to Relativity), and Albert
Einstein Online

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