At no time will the moving observer accelerate to a speed faster than the speed of light relative to test particles near himself.
32.
A test particle is a particle whose mass and charge are assumed to be so small that its effect on external system is insignificant.
33.
Here is the charge of a test particle with vector velocity and is the combined electric and magnetic force acting on that test particle.
34.
Here is the charge of a test particle with vector velocity and is the combined electric and magnetic force acting on that test particle.
35.
There's still a conserved energy and angular momentum, and you can construct a one-dimensional potential that describes the radial motion of a test particle.
36.
The angular momentum of test particles in a gently curved background is more complicated in GR but can be generalized in a straightforward manner.
37.
In a simulation of a 10 million year span, the planet " sweeps clean " most test particles within 1.75 AU of HD 80606.
38.
He gave the first correct description of the relative ( tidal ) acceleration of initially mutually static test particles that encounter a sinusoidal gravitational plane wave.
39.
This generalization of curvature depends on how nearby test particles diverge or converge when they are allowed to move freely in the space; see Jacobi field.
40.
:All test particles at the alike spacetime point, in a given gravitational field, will undergo the same acceleration, independent of their properties, including their rest mass.
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