Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...255..674s&link_type=abstract
Astrophysical Journal, Part 1, vol. 255, Apr. 15, 1982, p. 674-690.
Astronomy and Astrophysics
Astrophysics
7
Elliptical Galaxies, Galactic Rotation, Newton Theory, Relativity, Stellar Motions, Approximation, Canonical Forms, Integral Equations, Milky Way Galaxy, Particle Motion
Scientific paper
A theoretical framework is developed for the construction of a formal, third integral of motion in the post-Newtonian approximation of general relativity, which will be valid for a test particle moving in the four-dimensional spacetime of a gravitating source. The source is composed of a bounded, perfect-fluid mass with a plane of symmetry, and with axisymmetric and time-independent mass and velocity density distributions. A computerized algorithm is used to evaluate the new integral as a power series of canonical variables, with all internal characteristics of the source being taken into account. The relativistic contributions are negligible for normal galaxies but not for elliptical ones of large mass and small linear dimensions. The new integral is found to remain constant up to the sixth decimal point over a time scale of 10 million years.
Spyrou N.
Varvoglis Harry
No associations
LandOfFree
On a new integral of motion in relativistic galactic dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On a new integral of motion in relativistic galactic dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a new integral of motion in relativistic galactic dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-840761