• Corpus ID: 118523512

Equations for spinning test particles in equatorial orbits when they are orbiting in a weak rotating field

@article{Velandia2016EquationsFS,
  title={Equations for spinning test particles in equatorial orbits when they are orbiting in a weak rotating field},
  author={Nelson Velandia and Juan Manuel Tejeiro},
  journal={arXiv: Earth and Planetary Astrophysics},
  year={2016}
}
This paper formulates, via the Mathisson - Papapetrou - Dixon equations, the system of equations for a test particle with spin when it is orbiting a weak Kerr metric. We shall restrict ourselves to the case of circular orbits with the purpose of comparing our results with the results of the literature. In particular, we solve the set of equations of motion for the case of circular trajectories both spinless and spinning test particles around rotating bodies in equatorial plane. The results… 

References

SHOWING 1-6 OF 6 REFERENCES

SATELLITE GRAVITATIONAL ORBITAL PERTURBATIONS AND THE GRAVITOMAGNETIC CLOCK EFFECT

In order to detect the gravitomagnetic clock eect by means of two counter-orbiting satellites placed on identical equatorial and circular orbits around the Earth with radius 7000 km their radial and

The Papapetrou equations and supplementary conditions

On the bases of the Papapetrou equations with various supplementary conditions and other approaches a comparative analysis of the equations of motion of rotating bodies in general relativity is made.

Numerical Recipes in C (New York

  • 1997

Satellite Technology. Principles and Applications (Chichester

  • 2011

The Mathematicasl Theory of Black Holes (New York: Oxford University

  • 1983