Determination of autonomous three-dimensional force fields from a two-parameter family of orbits

Details Determination of autonomous three-dimensional force fields from a two-parameter family of orbits Determination of autonomous three-dimensional force fields from a two-parameter family of orbits

Sep 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..31...43b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 31, Sept. 1983, p. 43-51.

Physics

8

Force Distribution, Gravitational Fields, Orbit Calculation, Orbital Mechanics, Three Dimensional Motion, Field Theory (Physics), Linear Equations, Partial Differential Equations

Scientific paper

Any two of the components X, Y, and Z of an autonomous force field which gives rise to the space orbits F(x, y, z) = c1, G(x, y, z) = c2 are related by a partial differential equation with coefficients depending on the functions F and G. This is a generalization of the corresponding equation for planar orbits (Bozis, 1983). The above partial differential equation is accompanied by the algebraic linear equation in X, Y, and Z expressing the fact that the force vector is lying in the osculating plane at each point of the orbit. The two equations constitute a generalization of the corresponding Szebehely's equations in the three dimensional space (Erdi, 1982). The generalization is meant in the sense that the dynamical system is not necessarily assumed to be conservative.

Affiliated with

Also associated with

No associations

Rating

Determination of autonomous three-dimensional force fields from a two-parameter family of orbits 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 Determination of autonomous three-dimensional force fields from a two-parameter family of orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Determination of autonomous three-dimensional force fields from a two-parameter family of orbits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1591124