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1 to 19 of 19 results
  • Optimal low-thrust transfers between libration point orbits

     Ren, Yuan; Pergola, Pierpaolo; Fantino, Elena; Thiere, B.
    Celestial mechanics and dynamical astronomy
    Date of publication: 2012-01
    Journal article

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  • Two mechanisms of natural transport in the Solar System

     Ren, Yuan; Gomez Muntaner, Gerard; Masdemont Soler, Josep Joaquim; Fantino, Elena
    Communications in nonlinear science and numerical simulation
    Date of publication: 2012-02
    Journal article

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    In this paper, two natural transport mechanisms in Solar System are considered. The first is a short-time transport, and is based on the existence of ‘‘pseudo-heteroclinic’’ connections between libration point orbits of pairs of Sun–planet planar circular restricted three-body problems (PCR3BP). The stable and unstable manifolds associated with the libration point orbits of different Sun–planet PCR3BP systems are computed. Then the intersections between the inner and the outer manifolds of all the consecutive planets in the Solar System are explored. The second mechanism, which is common and qualitatively well understood in two-degrees of freedom Hamiltonian systems, corresponds to a long-time transport, and is the result of the strongly chaotic motion of the minor body in the PCR3BP. In this contribution, we present an analysis of the natural transport in the Solar System based on these two mechanisms. In particular, we discuss the key properties of the natural transport, such as the possibility of transfering between two specified celestial bodies, the type of transport and the time of flight. The final objective is to provide a deeper dynamical insight into the exchange mechanisms of natural material in the Solar System.

  • A note on libration point orbits, temporary capture and low-energy transfers

     Fantino, Elena; Gómez, Gerard; Masdemont Soler, Josep Joaquim; Ren, Yuan
    Acta astronautica
    Date of publication: 2010-11
    Journal article

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  • Star visibility and tracking from the Space Station

     Bernacca, Pier Luigi; Facchinetti, Claudia; Fantino, Elena
    Advances in space research
    Date of publication: 2010-12
    Journal article

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    Purpose of the present study is to provide algorithms for and examples of how to simulate star visibility and tracking by a Telescope attached to the main truss of the International Space Station (ISS). The sky visibility of a Telescope is limited by accommodation constraints on the truss, by obstructions caused by Station’s structural elements along with other payloads, by Sun and Moon’s light and by ram atomic Oxygen. It is also limited by Station’s orbit and attitude. The above limiting agents have been modeled vis-a-vis NASA nominal specifications and knowledge of the ambient environment. These models have been used to write algorithms and to produce examples of visibility and tracking at single star level. The above analysis has been used to describe in detail how to simulate star visibility and tracking of an observing program all over the sky by a plausible wide field Telescope operated only during successive 80 days coast periods in the declination’s range −71° to 71°. Simulation is mandatory in advance of real observations. The analysis rests on the feasibility study, funded by the Italian Space Agency (ASI), of a Telescope designed for accommodation on ISS. The present visibility and tracking study enables observations planning and it is introductory to any engineering algorithm devoted to mechanically drive pointing and tracking of celestial targets from the Space Station. Since question might arise whether ISS-based Astronomy is nowadays scientifically worthwhile, a brief summary of the science rationale in Ultraviolet, useful to Astrophysics and Cosmology, is offered to the curious Astrophysicist who can decide on his own. From an operational point of view it is concluded that an observing programme can be carried out provided photon re-centering techniques are applied to the raw data, in order to free them from the effects of ISS vibrations.

  • Spacecraft trajectories to the L-3 point of the Sun-Earth three-body problem

     Tantardini, Marco; Fantino, Elena; Ren, Yuan; Pergola, Pierpaolo; Gómez, Gerard; Masdemont Soler, Josep Joaquim
    Celestial mechanics and dynamical astronomy
    Date of publication: 2010-11
    Journal article

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    On the relationship between the weak stability boundary region of the earth and the low-energy transfers to the moon  Open access

     Masdemont Soler, Josep Joaquim; Ren, Yuan; Fantino, Elena; Gómez Muntané, Gerard
    International Symposium on Space Flight Dynamics
    Presentation's date: 2009-09-30
    Presentation of work at congresses

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    The term Weak Stability Boundary (WSB) is related to a region of stable motion around the second primary of a circular restricted three-body problem (CR3BP). Previous work on this subject has shown that, at a given energy level, the boundaries of such region are provided by the stable manifolds of central objects of the L1 and L2 libration points, i.e., the two planar Lyapunov orbits (PLOs). This offers a natural dynamical channel between the Earth's vicinity and the Sun-Earth libration points L1 and L2. Furthermore, it has been shown (and successfully employed to design low-energy spacecraft lunar transfers) that the Sun-Earth L2 central unstable manifolds can be linked, through an heteroclinic connection, to the central stable manifolds of the L2 point in the Earth-Moon three-body problem. The aim of the present study is to clarify the relationship between the low-energy Earth-to-Moon transfers (LETs) and the dynamics of the phase space points that populate the WSB region around the Earth. The present work develops through an extensive and systematic exploration of the trajectories connecting planar Lyapunov orbits corresponding to all the possible combinations of two libration points in the Sun-Earth and Earth-Moon CR3BPs, kinematically coupled. The results of such exploration give us a deeper and more 2 complete understanding of the dynamics and properties of such connections and constitute the basis for the next stage of the investigation, that is the study of the structure of the WSB around the Earth, its dynamical relationship first with the Sun- Earth libration points L1 and L2 and then with the Earth-Moon ones, in the bicircular four-body model. This investigation is part of a research work that will be the subject of a subsequent, more extended publication.

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    On the relationship between the weak stability boundary region of the earth and the low-energy transfers to the moon  Open access

     Masdemont Soler, Josep Joaquim; Ren, Yuan; Gómez Muntané, Gerard; Fantino, Elena
    International Astronautical Congress
    Presentation's date: 2009-10-15
    Presentation of work at congresses

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    The term Weak Stability Boundary (WSB) is related to a region of stable motion around the second primary of a circular restricted three-body problem (CR3BP). Previous work on this subject has shown that, at a given energy level, the boundaries of such region are provided by the stable manifolds of central objects of the L1 and L2 libration points, i.e., the two planar Lyapunov orbits (PLOs). This offers a natural dynamical channel between the Earth's vicinity and the Sun-Earth libration points L1 and L2. Furthermore, it has been shown (and successfully employed to design low-energy spacecraft lunar transfers) that the Sun-Earth L2 central unstable manifolds can be linked, through an heteroclinic connection, to the central stable manifolds of the L2 point in the Earth-Moon three-body problem. The aim of the present study is to clarify the relationship between the low-energy Earth-to-Moon transfers (LETs) and the dynamics of the phase space points that populate the WSB region around the Earth. The present work develops through an extensive and systematic exploration of the trajectories connecting planar Lyapunov orbits corresponding to all the possible combinations of two libration points in the Sun-Earth and Earth-Moon CR3BPs, kinematically coupled. The results of such exploration give us a deeper and more complete understanding of the dynamics and properties of such connections and constitute the basis for the next stage of the investigation, that is the study of the structure of the WSB around the Earth, its dynamical relationship first with the Sun- Earth libration points L1 and L2 and then with the Earth-Moon ones, in the bicircular four-body model. This investigation is part of a research work that will be the subject of a subsequent, more extended publication.

  • Methods of harmonic synthesis for global geopotential models and their first-, second- and third-order gradients

     Fantino, Elena; Casotto, Stefano
    Journal of geodesy
    Date of publication: 2008
    Journal article

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  • Gravitational gradients by tensor analysis with application to spherical coordinates

     Casotto, Stefano; Fantino, Elena
    Journal of geodesy
    Date of publication: 2008
    Journal article

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  • Evaluation of methods for spherical harmonic synthesis of the gravitational potential and its gradients

     Casotto, Stefano; Fantino, Elena
    Advances in space research
    Date of publication: 2007
    Journal article

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    On the mechanisms of natural transport in the solar system  Open access

     Masdemont Soler, Josep Joaquim; Ren, Yuan; Gómez Muntané, Gerard; Fantino, Elena
    Conference on Nonlinear Science and Complexity
    Presentation's date: 2006-07-29
    Presentation of work at congresses

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    Some minor bodies in the solar system (i.e., comets, asteroids and planetary ejecta) are capable of performing transfers from their original location to very distant places, provided they possess sufficiently large energies. Some of them can reach the surface of a planet. This phenomenon is called natural transport. Within the planar circular restricted three-body problem (PCR3BP) with the Sun and a planet as primaries, and also within two coupled PCR3BPs, the gravity of the secondary causes long-term perturbations and the minor body performs swingbys at the secondary, thus resulting in different behaviours with respect to those observed in the heliocentric two-body model. In this contribution, two natural transport mechanisms in the PCR3BP framework are considered. The first is a short-time transport, consisting in heteroclinic connections between libration point orbits of pairs of Sun-planet PCR3BPs: by varying the relative orbital phase of the involved planets at the start of the transfer, the location of the Poincar´e section at which the connection is sought and the size of the departure and arrival periodic orbits, the intersection between the associated unstable and stable manifolds (respectively in the departure and arrival PCR3BP) is computed. The second mechanism corresponds to a long-time transport, the result of the strongly chaotic motion of the minor body in the PCR3BP: the heliocentric orbit changes significantly due to the gravitational interactions with the Sun and the planets (especially the giant planets), and this eventually allows the minor body to reach the vicinity of some planet. In this contribution we provide an analysis of the natural transport in solar system by these two mechanisms. In particular we discuss the key properties of the natural transport, such as the possibility of transferring between two specified celestial bodies, the type of transport and the time of flight. The final aim is to get a deeper insight into the motion of the minor bodies and the exchange of natural material in the solar system.

  • A new reduction of the raw Hipparcos data

     Van Leeuwen, Floor; Fantino, Elena
    Astronomy and astrophysics
    Date of publication: 2005
    Journal article

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  • Comparison among spherical harmonic synthesis methods for functionals of the gravity field

     Fantino, Elena; Casotto, Stefano
    Newton's bulletin
    Date of publication: 2005
    Journal article

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  • Dynamic modelling of the Hipparcos attitude

     Van Leeuwen, Floor; Fantino, Elena
    Space science reviews
    Date of publication: 2003
    Journal article

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  • Introduction to a further examination of the Hipparcos data

     Van Leeuwen, Floor; Fantino, Elena
    Space science reviews
    Date of publication: 2003
    Journal article

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  • Modelling the torques affecting the Hipparcos satellite

     Fantino, Elena; Van Leeuwen, Floor
    Space science reviews
    Date of publication: 2003
    Journal article

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  • Sky visibility study for payloads on ISS

     Fantino, Elena; Bernacca, Pier Luigi
    European Symposium on the Utilisation of the International Space Station
    Presentation's date: 1999
    Presentation of work at congresses

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  • Minimum-fuel escape from two body sun-earth system

     Colasurdo, Guido; Casalino, Lorenzo; Fantino, Elena
    Journal of guidance control and dynamics
    Date of publication: 1999
    Journal article

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  • Minimum-fuel escape from two-body earth-sun system

     Colasurdo, Guido; Casalino, Lorenzo; Fantino, Elena
    AAS/AIAA Spaceflight Mechanics Meeting
    Presentation's date: 1998
    Presentation of work at congresses

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