This work presents the development of a discrete parameter model consisting of a concentrated mass which is supported by a set of springs and dampers positioned in two orthogonal directions, such that the mass can move ...

We describe the families of periodic orbits in the 2-dimensional 1/2 retrograde resonance at mass ratio 10 - 3, analyzing their stability and bifurcations into 3-dimensional periodic orbits. We explain the role played by ...

Resonance capture is studied numerically in the three-body problem for arbitrary inclinations. Massless particles are set to drift from outside the 1: 5 resonance with a Jupiter-mass planet thereby encountering the web of ...

The effect of the radial drift rate on mean motion resonance capture is studied for prograde, polar and retrograde orbits. We employ the numerical framework of our earlier exploration of resonance capture at arbitrary ...

Motivated by the dynamics of resonance capture, we study numerically the coorbital resonance for 0 <= I <= 180 degrees inclination in the circular restricted three-body problem. We examine the similarities and differences ...

The process of capture in the coorbital region of a solar system planet is studied. Absolute capture likelihood in the 1:1 resonance is determined by randomly constructed statistical ensembles numbering 7.24 × 10 5 of ...

At present, approximately 1500 asteroids are known to evolve inside or sticked to the exterior 1:2 resonance with Mars at a ≃ 2.418 AU, being (142) Polana the largest member of this group. The effect of the forced secular ...

We study the capture and crossing probabilities in the 3:1 mean motion resonance with Jupiter for a small asteroid that migrates from the inner to the middle Main Belt under the action of the Yarkovsky effect. We use an ...