Neighboring solutions to the triple-collision solutions in the rectilinear three-body problem

Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Celestial Mechanics, Collisions, Three Body Problem, Degrees Of Freedom, Dynamic Characteristics, Eigenvalues, Eigenvectors, Variational Principles

Scientific paper

The method used by Waldvogel (1976) for solving the equilateral three-body problem with triple collision is applied in the neighborhood of the rectilinear solutions with triple collision. Based on the rectilinear Lagrange solution that leads to a triple collision for t equals 0, neighboring solutions are sought with the aid of corresponding variational equations. Solution of these variational equations involves four characteristic exponents grouped in pairs and which depend on the mass ratios. A priori knowledge of one of these characteristic exponents enables the rest to be determined explicitly, and hence the first terms of the expansion of the general rectilinear solution near a triple-collision solution can be written, which depend on certain small arbitrary parameters, one of which is proportional to the generalized energy of the system.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Neighboring solutions to the triple-collision solutions in the rectilinear three-body problem 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 Neighboring solutions to the triple-collision solutions in the rectilinear three-body problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Neighboring solutions to the triple-collision solutions in the rectilinear three-body problem will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1568611

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.