Theory of the Trojan asteroids. II

Details Theory of the Trojan asteroids. II Theory of the Trojan asteroids. II

Oct 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..18..259g&link_type=abstract

Celestial Mechanics, vol. 18, Oct. 1978, p. 259-275.

Mathematics

15

Asteroids, Celestial Mechanics, Perturbation Theory, Three Body Problem, Trojan Orbits, Asymptotic Methods, Hamiltonian Functions, Lagrangian Equilibrium Points, Oscillations, Periodic Variations, Planetary Mass, Resonance, Trojan Asteroids, Asteroids, Period, Motion, Perturbations, Resonance, Mathematical Models, Orbits

Scientific paper

The paper considers the formal long-periodic solution for the case of 1:1 resonance in the restricted problem of three bodies, which was discussed in Part I (1977), and extends the accuracy of the solution from O(m) to O(m to the 3/2 power), where m is the mass parameter for the system. Asymptotic approximations for the period of the motion are obtained for the case of small oscillations about the Lagrangian point L4, in agreement with the classical theory, and for the vicinity of a logarithmic singularity on the mean separatrix, passing through L3. The regularizing function, which removes the singularities of the Poincare type, is extended to all orders, and the result is used to prove the periodicity of the solution.

Affiliated with

Also associated with

No associations

Rating

Theory of the Trojan asteroids. II 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 Theory of the Trojan asteroids. II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theory of the Trojan asteroids. II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1690631