Computer Science
Scientific paper
Dec 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..493s&link_type=abstract
Celestial Mechanics, vol. 14, Dec. 1976, p. 493-498.
Computer Science
3
Celestial Mechanics, Numerical Stability, Three Body Problem, Graphs (Charts), Monte Carlo Method, Orbit Calculation
Scientific paper
The extent through which the initial conditions of a given three-body system may be varied without completely changing the qualitative nature of the subsequent system evolution is investigated. It is assumed that the three masses are equal, all initial velocities are zero, the first two bodies initially lie on the x-axis, and the position of the third body is confined to a specific region of space. Analysis of the system evolution for different initial positions of the third body shows that there is a whole area or 'island' in the x-y plane throughout which the initial position of the third body may be moved in a continuous fashion to produce an evolution which also changes in a continuous manner. A Monte Carlo approach is adopted to determine the full extent of this island in the general problem. It is concluded that the stability of a full solution may be directly related to the size of its island in phase space.
No associations
LandOfFree
On the stability of the solutions of the general problem of three bodies 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 the stability of the solutions of the general problem of three bodies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the stability of the solutions of the general problem of three bodies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1049329