Fast Periodic Transfer Orbits in the Sun–Earth–Moon Quasi-Bicircular Problem

Leiva, A. M.; Briozzo, C. B.

doi:10.1007/s10569-004-7818-3

Cited by 4 publications

(2 citation statements)

References 10 publications

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“…This solution is known as the Quasi-Bicircular solution, and was first derived by Andreu (1998Andreu ( , 2002Andreu ( , 2003. For further details we refer the reader to these works, to which notation and conventions we adhere systematically; a very sketchy overview of these results can be found in Leiva and Briozzo (2005).…”

Section: Quasi-bicircular Problem (Qbcp)mentioning

confidence: 96%

“…In a related work (Leiva and Briozzo 2005) we addressed the problem of accounting for the Sun's influence, showing how under suitable conditions some UPOs could be extended from the Earth-Moon RTBP to a more realistic model like the Sun-Earth-Moon Quasi-Bicircular Problem (QBCP) (Andreu 1998(Andreu , 2002(Andreu , 2003. In this model an approximate closed solution is obtained for the motion of the primaries under their mutual gravitational interactions.…”

Section: Introductionmentioning

confidence: 99%

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Extension of fast periodic transfer orbits from the Earth–Moon RTBP to the Sun–Earth–Moon Quasi-Bicircular Problem

Leiva

Briozzo

2008

Celest Mech Dyn Astr

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Starting from 80 families of low-energy fast periodic transfer orbits in the Earth-Moon planar circular Restricted Three Body Problem (RTBP), we obtain by analytical continuation 11 periodic orbits and 25 periodic arcs with similar properties in the Sun-Earth-Moon Quasi-Bicircular Problem (QBCP). A novel and very simple procedure is introduced giving the solar phases at which to attempt continuation. Detailed numerical results for each periodic orbit and arc found are given, including their stability parameters and minimal distances to the Earth and Moon. The periods of these orbits are between 2.5 and 5 synodic months, their energies are among the lowest possible to achieve an EarthMoon transfer, and they show a diversity of circumlunar trajectories, making them good candidates for missions requiring repeated passages around the Earth and the Moon with close approaches to the last.

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Section: Quasi-bicircular Problem (Qbcp)mentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Extension of fast periodic transfer orbits from the Earth–Moon RTBP to the Sun–Earth–Moon Quasi-Bicircular Problem

Leiva

Briozzo

2008

Celest Mech Dyn Astr

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Strategies for plane change of Earth orbits using lunar gravity and derived trajectories of family G

Melo

Macau

Winter

2009

Celest Mech Dyn Astr

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The dynamics of the circular restricted three-body Earth-Moon-particle problem predicts the existence of the retrograde periodic orbits around the Lagrangian equilibrium point L1. Such orbits belong to the so-called family G (Broucke, Periodic orbits in the restricted three-body problem with Earth-Moon masses, JPL Technical Report 32-1168, 1968) and starting from them it is possible to define a set of trajectories that form round trip links between the Earth and the Moon. These links occur even with more complex dynamical systems as the complete Sun-Earth-Moon-particle problem. One of the most remarkable properties of these trajectories, observed for the four-body problem, is a meaningful inclination gain when they penetrate into the lunar sphere of influence and accomplish a swing-by with the Moon. This way, when one of these trajectories returns to the proximities of the Earth, it will be in a different orbital plane from its initial Earth orbit. In this work, we present studies that show the possibility of using this property mainly to accomplish transfer maneuvers between two Earth orbits with different altitudes and inclinations, with low cost, taking into account the dynamics of the four-body problem and of the swing-by as well. The results show that it is possible to design a set of nominal transfer trajectories that require V Total less than conventional methods like Hohmann, bi-elliptic and bi-parabolic transfer with plane change.

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The motion properties of the infinitesimal body in the framework of bicircular Sun perturbed Earth–Moon system

Abouelmagd

Ansari²

2019

New Astronomy

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Fast Periodic Transfer Orbits in the Sun–Earth–Moon Quasi-Bicircular Problem

Cited by 4 publications

References 10 publications

Extension of fast periodic transfer orbits from the Earth–Moon RTBP to the Sun–Earth–Moon Quasi-Bicircular Problem

Extension of fast periodic transfer orbits from the Earth–Moon RTBP to the Sun–Earth–Moon Quasi-Bicircular Problem

Strategies for plane change of Earth orbits using lunar gravity and derived trajectories of family G

The motion properties of the infinitesimal body in the framework of bicircular Sun perturbed Earth–Moon system

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