Because test particles follow geodesics in a fixed metric, the orbits of those particles may be determined using the calculus of variations, also called the Lagrangian approach.
42.
This equation simply means that all test particles at a particular place and time will have the same acceleration, which is a well-known feature of Newtonian gravity.
43.
The effect of a passing polarized gravitational plane wave on the relative positions of a cloud of ( initially static ) test particles will be qualitatively very similar.
44.
Describing the mutual motion of the test particles in a null geodesic congruence in a spacetime such as the FRW dust is a very important problem in general relativity.
45.
In a simulation of a 10 million year span, this planet swept away all test particles " except for a narrow region near the 8 : 3 resonance ".
46.
The Tile-subgroup has built a 1 m ^ 3 steel / scintillator sandwich sampling hadronic calorimeter ( HCAL ) called physics prototype for study series in various test particle beams.
47.
The gravitational potential energy is the the potential times the mass of the test particle and the electric potential energy is the electric potential times the charge of the test particle.
48.
The gravitational potential energy is the the potential times the mass of the test particle and the electric potential energy is the electric potential times the charge of the test particle.
49.
It is assumed that the particle collisions are confined to one dimension and that it is equally probable for the test particle to be hit from the left as from the right.
50.
Test particles in this metric whose comoving coordinate differs by \ Delta x ^ j are separated by a physical distance t ^ { p _ j } \ Delta x ^ j.
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