Potential of incorporating ocean currents in fishing vessels

The fishing sector has been suffering a strong setback, with reduction in fishing stocks and more recently with the reduction of the fishing fleet. One of the most important factors for this decrease, is related to the continuous difficulty to find fish with quality and quantity, allowing the sector work constantly all year long. However other factors are affecting negatively the fishing sector, in particular the huge maintenance costs of the ships and the high diary costs that are necessary for daily work of each vessel. One of the main costs associated with daily work, is the fuel consumption. As an example, one boat with 30 meters working around 17 hours every day, consumes 2500 liters of fuel/day. This value is very high taking into account the productivity of the sector. Supporting this premise was developed a project with the aim of reducing fuel consumption in fishing vessels. The project calls “ShipTrack” and aims the use of forecasts of ocean currents in the routes of the ships. The objective involves the use of ocean currents in favor, and avoiding ocean currents against, taking into account the course of the ship, in order to reduce fuel consumption and increase the ship speed. The methodology used underwent the creation of specific Software, in order to optimize routes, taking into account the forecasts of the ocean currents. These forecasts are performed using numerical modelling, methodology that become more and more important in all communities, because through the modeling, it can be analyzed, verified and predicted important phenomena to all the terrestrial ecosystem. The objective was the creation of Software, however its development was not completed, so it was necessary a new approach in order to verify the influence of the ocean currents in the navigation of the fishing ship "Cruz de Malta". In this new approach, and during the various ship routes it was gathering a constant information about the instant speed, instantaneous fuel consumption, the state of the ocean currents along the course of the ship, among other factors. After 4 sea travels and many routes analyzed, it was possible to verify the influence of the ocean currents in the Ship speed and in fuel consumption. For example, in many stages of the sea travels it was possible to verify an increase in speed in zones where the ocean currents are in favor to the ships movements. This incorporation of new data inside the fishing industry, was seen positively by his players, which encourages new developments in this industry.

On the rotation of co-orbital bodies in eccentric orbits

We investigate the resonant rotation of co-orbital bodies in eccentric and planar orbits. We develop a simple analytical model to study the impact of the eccentricity and orbital perturbations on the spin dynamics. This model is relevant in the entire domain of horseshoe and tadpole orbit, for moderate eccentricities. We show that there are three different families of spin-orbit resonances, one depending on the eccentricity, one depending on the orbital libration frequency, and another depending on the pericenter's dynamics. We can estimate the width and the location of the different resonant islands in the phase space, predicting which are the more likely to capture the spin of the rotating body. In some regions of the phase space the resonant islands may overlap, giving rise to chaotic rotation.

Complete spin and orbital evolution of close-in bodies using a Maxwell viscoelastic rheology

In this paper, we present a formalism designed to model tidal interaction with a viscoelastic body made of Maxwell material. Our approach remains regular for any spin rate and orientation, and for any orbital configuration including high eccentricities and close encounters. The method is to integrate simultaneously the rotation and the position of the planet as well as its deformation. We provide the equations of motion both in the body frame and in the inertial frame. With this study, we generalize preexisting models to the spatial case and to arbitrary multipole orders using a formalism taken from quantum theory. We also provide the vectorial expression of the secular tidal torque expanded in Fourier series. Applying this model to close-in exoplanets, we observe that if the relaxation time is longer than the revolution period, the phase space of the system is characterized by the presence of several spin-orbit resonances, even in the circular case. As the system evolves, the planet spin can visit different spin-orbit configurations. The obliquity is decreasing along most of these resonances, but we observe a case where the planet tilt is instead growing. These conclusions derived from the secular torque are successfully tested with numerical integrations of the instantaneous equations of motion on HD 80606 b. Our formalism is also well adapted to close-in super-Earths in multiplanet systems which are known to have non-zero mutual inclinations.