A case of commensurability induced by oblateness

Computer Science – Numerical Analysis

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

5

Angular Velocity, Celestial Mechanics, Lagrangian Equilibrium Points, Oblate Spheroids, Three Body Problem, Numerical Analysis, Orbital Mechanics, Taylor Series

Scientific paper

In the three-dimensional restricted three-body problem, it is known that there exists a near one-to-one commensurability ratio between the planar angular frequencies and the corresponding angular frequency in the z-direction at the three collinear equilibria (L1,2,3), which is significant for small and practically important values of the mass parameter (mu). When the more massive primary is treated as an oblate spheroid with its equatorial plane coincident with the plane of motion of the primaries, it is established that oblateness induces a one-to-one commensurability at the exterior point L3 (to the right of the more massive primary) and the interior point L2 for mu between zero and 1/2 and that at L1 no such commensurability exists. However, the values of the oblateness coefficient involved at L2 are too high to have any practical significance, while the smallness of those at L3 for small values of mu may be useful for generating periodic orbits of the third kind.

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

A case of commensurability induced by oblateness 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 A case of commensurability induced by oblateness, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A case of commensurability induced by oblateness will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-944186

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