Vertical stability of periodic solutions around the triangular equilibrium points

Details Vertical stability of periodic solutions around the triangular equilibrium points Vertical stability of periodic solutions around the triangular equilibrium points

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..51...75p&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 51, no. 1, 1991, p. 75-81.

Astronomy and Astrophysics

Astronomy

6

Celestial Mechanics, Lagrangian Equilibrium Points, Orbital Mechanics, Periodic Functions, Three Body Problem, Jupiter (Planet), Motion Stability, Orbit Calculation, Solar System

Scientific paper

The vertical stability character of the families of short and long period solutions around the triangular equilibrium points of the restricted three-body problem is examined. For three values of the mass parameter less than equal to the critical value of Routh mu(R), i.e., for mu = 0.000953875 (sun-Jupiter), mu = 0.01215 (earth-moon) and mu = mu(R) = 0.038521, it is found that all such solutions are vertically stable. For mu above mu(R), vertical stability is studied for a number of 'limiting' orbits extended to mu = 0.45. The last limiting orbit computed by Deprit for mu = 0.044 is continued to a family of periodic orbits into which the well known families of long and short period solutions merge. The stability characteristics of this family are also studied.

Affiliated with

Also associated with

No associations

Rating

Vertical stability of periodic solutions around the triangular equilibrium points 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 Vertical stability of periodic solutions around the triangular equilibrium points, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vertical stability of periodic solutions around the triangular equilibrium points will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1604707