A study of periodic orbits near Europa. (English) Zbl 1507.70038
Summary: Periodic orbits and their invariant manifolds are known to be useful for transportation in space, but a large portion of the related research goes toward a small number of periodic orbit families that are relatively simple to compute. In this study, motivated by a search for new and lesser-known families of useful periodic orbits, the bifurcation diagram near Europa is explored and 400 bifurcation points are found. Families are generated for 74 of these and provided in a publicly accessible database. Of these 74 generated families, those that also appear to exist in a model perturbed by certain zonal harmonics of Jupiter and Europa are identified. Differential corrections techniques are discussed, and a new method for natural parameter continuation in the three-body problem is presented. Periodic orbits with particularly useful geometric and stability properties for science purposes are highlighted.
MSC:
| 70M20 | Orbital mechanics |
| 70F07 | Three-body problems |
| 70K42 | Equilibria and periodic trajectories for nonlinear problems in mechanics |
Keywords:
low-energy orbit; invariant manifold; bifurcation diagram; natural parameter continuation method; zonal harmonics; three-body problemReferences:
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