scholarly journals Circular Orbit Target Capture Using Space Tether-Net System

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Guang Zhai ◽  
Jing-rui Zhang ◽  
Zhang Yao

The space tether-net system for on-orbit capture is proposed in this paper. In order to research the dynamic behaviors during system deployment, both free and nonfree deployment dynamics in circular orbit are developed; the system motion with respect to Local Vertical and Local Horizontal frame is also researched with analysis and simulation. The results show that in the case of free deployment, the capture net follows curve trajectories due to the relative orbit dynamic perturbation, and the initial deployment velocities are planned by state transformation equations for static and floating target captures; in the case of non-free deployment, the system undergoes an altitude libration along the Local Vertical, and the analytical solutions that describe the attitude libration are obtained by using variable separation and integration. Finally, the dynamics of postdeployment system is also proved marginally stable if the critical initial conditions are satisfied.

2006 ◽  
Vol 20 (22) ◽  
pp. 3233-3245 ◽  
Author(s):  
CHUN-LONG ZHENG ◽  
HAI-PING ZHU ◽  
LIN-SEN XIE ◽  
JIAN-PING FANG

With the help of a mapping approach, a new type of variable separation solution with two arbitrary functions to (2+1)-dimensional Boiti–Leon–Pempinelli system (BLP) is derived. Based on the derived variable separation solution, some single valued and multiple valued localized excitations such as dromions, peakons and foldons, etc. with novel evolutional properties are revealed by introducing appropriate initial conditions in this paper.


2015 ◽  
Vol 24 (2) ◽  
Author(s):  
A. Davydenko

AbstractThe trajectories of stars of a cluster moving in the Schuster-Plummer potential on a circular orbit in the Galactic plane (Bok’s problem) are investigated. The impact of initial conditions on stellar motions, in particular on the possibility of escape of a star from the cluster, is analyzed, and numerous computations of stellar orbits are performed for various initial values of energy and momentum with respect to the cluster. Stars escaping from the cluster are shown to move mostly in spiral orbits and form well-defined spiral tails.


2008 ◽  
Vol 31 (4) ◽  
pp. 1014-1027 ◽  
Author(s):  
Yoshihiro Ichimura ◽  
Akira Ichikawa

2011 ◽  
Vol 34 (5) ◽  
pp. 1329-1341 ◽  
Author(s):  
Ryo Jifuku ◽  
Akira Ichikawa ◽  
Mai Bando

2017 ◽  
Vol 114 (49) ◽  
pp. 12858-12863 ◽  
Author(s):  
K. I. Ilin ◽  
H. K. Moffatt ◽  
V. A. Vladimirov

Equations describing the rolling of a spherical ball on a horizontal surface are obtained, the motion being activated by an internal rotor driven by a battery mechanism. The rotor is modeled as a point mass mounted inside a spherical shell and caused to move in a prescribed circular orbit relative to the shell. The system is described in terms of four independent dimensionless parameters. The equations governing the angular momentum of the ball relative to the point of contact with the plane constitute a six-dimensional, nonholonomic, nonautonomous dynamical system with cubic nonlinearity. This system is decoupled from a subsidiary system that describes the trajectories of the center of the ball. Numerical integration of these equations for prescribed values of the parameters and initial conditions reveals a tendency toward chaotic behavior as the radius of the circular orbit of the point mass increases (other parameters being held constant). It is further shown that there is a range of values of the initial angular velocity of the shell for which chaotic trajectories are realized while contact between the shell and the plane is maintained. The predicted behavior has been observed in our experiments.


1965 ◽  
Vol 5 ◽  
pp. 109-111
Author(s):  
Frederick R. West

There are certain visual double stars which, when close to a node of their relative orbit, should have enough radial velocity difference (10-20 km/s) that the spectra of the two component stars will appear resolved on high-dispersion spectrograms (5 Å/mm or less) obtainable by use of modern coudé and solar spectrographs on bright stars. Both star images are then recorded simultaneously on the spectrograph slit, so that two stellar components will appear on each spectrogram.


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