The containment property of the zero-velocity surfaces in the magnetic-binary problem

1988 ◽  
Vol 147 (1) ◽  
pp. 157-162 ◽  
Author(s):  
A. G. Mavraganis
Keyword(s):  
Zero Velocity ◽  
Containment Property ◽  
Binary Problem ◽  
Zero Velocity Surfaces

THE ZERO-VELOCITY SURFACES

1978 ◽  
pp. 14-19 ◽  
Author(s):  
JORGE SAHADE ◽  
FRANK BRADSHAW WOOD
Keyword(s):  
Zero Velocity ◽  
Zero Velocity Surfaces

scholarly journals Numerical Study of the Zero Velocity Surface and Transfer Trajectory of a Circular Restricted Five-Body Problem

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
R. F. Wang ◽  
F. B. Gao
Keyword(s):  
Body Problem ◽  
Numerical Study ◽  
Dimensional Space ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Regular Tetrahedron ◽  
Transfer Trajectory ◽  
Zero Velocity ◽  
Zero Velocity Surfaces ◽  
Zero Velocity Surface

We focus on a type of circular restricted five-body problem in which four primaries with equal masses form a regular tetrahedron configuration and circulate uniformly around the center of mass of the system. The fifth particle, which can be regarded as a small celestial body or probe, obeys the law of gravity determined by the four primaries. The geometric configuration of zero-velocity surfaces of the fifth particle in the three-dimensional space is numerically simulated and addressed. Furthermore, a transfer trajectory of the fifth particle skimming over four primaries then is designed.

BIFURCATIONS IN THE TOPOLOGY OF ZERO-VELOCITY SURFACES IN THE PHOTO-GRAVITATIONAL COPENHAGEN PROBLEM

2009 ◽  
Vol 19 (03) ◽  
pp. 1097-1111 ◽  
Author(s):  
T. J. KALVOURIDIS
Keyword(s):  
Body Problem ◽  
Small Body ◽  
Three Dimensional ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Zero Velocity ◽  
Radiation Sources ◽  
Trapping Regions ◽  
Zero Velocity Surfaces ◽  
Three Body

We study the evolution of the regions where three-dimensional motions of a small body are allowed in the Copenhagen case of the restricted three-body problem where one or both primaries, are radiation sources. We discuss the bifurcations in the topology of the zero-velocity surfaces, as well as in the trapping regions of the particle motion for various cases.

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