Results 51 to 60 of about 91 (74)
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The vicinity of the Earth–Moon $$L_1$$ point in the bicircular problem
Celestial Mechanics and Dynamical Astronomy, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Àngel Jorba +2 more
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Dynamics in the Center Manifold Around L2 in the Quasi-Bicircular Problem
Celestial Mechanics and Dynamical Astronomy, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +2 more sources
Periodic Orbits of the Bicircular Problem and Their Stability
World Scientific Monograph Series in Mathematics, 2001exaly +2 more sources
Dynamics of synodic resonant near rectilinear halo orbits in the bicircular four-body problem
Advances in Space Research, 2020Abstract As evidenced by the Global Exploration Roadmap, international interest exists in a new era of human exploration of the solar system. Such an effort is commencing with the examination of options for maintaining a facility—at times crewed—in an orbit nearby the Moon.
Kathleen Howell, Diane C Davis
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Parametric stability analysis for planar bicircular restricted four-body problem
Astrodynamics, 2018Stability for the non-autonomous bicircular four-body model is analytically investigated in this study. The governing equation is derived from Newton's law of gravity. When the distance between the infinitesimal mass and the third primary is expanded as Taylor expansions, the governing equation can be regarded as two parts: the unperturbed conservative
Xiao-Dong Yang, Ying-Jing Qian
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Gravitational lunar capture based on bicircular model in restricted four body problem
Celestial Mechanics and Dynamical Astronomy, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi, Yi, Xu, ShiJie, Qi, Rui
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Numerical and analytical study of the gravitational capture in the bicircular problem
Advances in Space Research, 2005Abstract The objective of the present paper is to study the ballistic gravitational capture in a dynamical model that has the presence of four bodies. In particular, the Earth–Moon–Sun–Spacecraft system is considered. This phenomenon is explained in terms of the integration of the perturbing forces with respect to time.
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Acta Astronautica, 2011
Abstract In this article, after describing a procedure to construct trajectories for a spacecraft in the four-body model, a method to correct the trajectory violations is presented. To construct the trajectories, periodic orbits as the solutions of the three-body problem are used.
Majid Salmani, Christof Büskens
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Abstract In this article, after describing a procedure to construct trajectories for a spacecraft in the four-body model, a method to correct the trajectory violations is presented. To construct the trajectories, periodic orbits as the solutions of the three-body problem are used.
Majid Salmani, Christof Büskens
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Generalizing the Bicircular Restricted Four-Body Problem
Journal of Guidance, Control, and Dynamics, 2020Rodolfo B. Negri +1 more
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2011
This chapter concerns the relation between the Bicircular model and the Coupled circular restricted three-body problem approximation. The comparison between the differential equations governing the dynamics in the different systems leads to the definition of Region of Prevalence where one restricted model provides the best approximation of the four ...
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This chapter concerns the relation between the Bicircular model and the Coupled circular restricted three-body problem approximation. The comparison between the differential equations governing the dynamics in the different systems leads to the definition of Region of Prevalence where one restricted model provides the best approximation of the four ...
openaire +1 more source