Small vertical oscillations in the field of a rotationally symmetric potential

Details Small vertical oscillations in the field of a rotationally symmetric potential Small vertical oscillations in the field of a rotationally symmetric potential

Mar 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975dossr.221q.309o&link_type=abstract

Akademiia Nauk SSSR, Doklady, vol. 221, Mar. 11, 1975, p. 309-311. In Russian.

Astronomy and Astrophysics

Astrophysics

Celestial Mechanics, Gravitational Fields, Orbit Calculation, Oscillations, Vertical Motion, Adiabatic Conditions, Astrophysics, Numerical Integration, Particle Motion, Potential Theory, Quadratures

Scientific paper

A study is made of the motion of a particle in the symmetry plane of a potential, assuming that the vertical-oscillation energy is small. The orbits are assumed two-dimensional in the first approximation, and the solution to the two-dimensional problem is substituted in the equation for vertical motions. The problem then becomes analogous to the problem of the oscillations of a variable-length pendulum. The analysis makes it possible to judge the stability of two-dimensional motions and to compute specific three-dimensional orbits.

Affiliated with

Also associated with

No associations

Rating

Small vertical oscillations in the field of a rotationally symmetric potential 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 Small vertical oscillations in the field of a rotationally symmetric potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Small vertical oscillations in the field of a rotationally symmetric potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1520968