scholarly journals Analysis of Capture Trajectories into Periodic Orbits About Libration Points

2008 ◽  
Vol 31 (5) ◽  
pp. 1344-1351 ◽  
Author(s):  
Masaki Nakamiya ◽  
Daniel J. Scheeres ◽  
Hiroshi Yamakawa ◽  
Makoto Yoshikawa
Keyword(s):  
Periodic Orbits ◽  
Libration Points ◽  
Capture Trajectories

scholarly journals Periodic orbits around the collinear libration points

2016 ◽  
Vol 09 (04) ◽  
pp. 1716-1727 ◽  
Author(s):  
E.I. Abouelmagd ◽  
F. Alzahrani ◽  
A. Hobiny ◽  
J. L. G. Guirao ◽  
M. Alhothuali
Keyword(s):  
Periodic Orbits ◽  
Libration Points

PERIODIC AND ASYMPTOTIC ORBITS IN A FIVE BODY PROBLEM

1944 ◽  
Vol 22a (1) ◽  
pp. 1-25
Author(s):  
Daniel Buchanan
Keyword(s):  
Angular Velocity ◽  
Periodic Orbits ◽  
Body Problem ◽  
Two Dimensions ◽  
Libration Points ◽  
Three Dimensions ◽  
Centre Of Gravity ◽  
Asymptotic Orbits ◽  
Body Subject

Periodic and asymptotic orbits are obtained for the motion of an infinitesimal body subject to the Newtonian attraction of four finite bodies. The finite bodies are equal in mass and remain relatively fixed at the vertices of a square while they revolve about their common centre of gravity with uniform angular velocity. The infinitesimal body moves in the vicinity of the 13 libration points of the finite bodies. Asymptotic orbits of two dimensions and periodic orbits of two and of three dimensions are obtained.

Survey of Mars Ballistic Capture Trajectories Using Periodic Orbits as Generating Mechanisms

2018 ◽  
Vol 41 (6) ◽  
pp. 1227-1242 ◽  
Author(s):  
Diogene A. Dei Tos ◽  
Ryan P. Russell ◽  
Francesco Topputo
Keyword(s):  
Periodic Orbits ◽  
Ballistic Capture ◽  
Capture Trajectories

Targeting Ballistic Lunar Capture Trajectories Using Periodic Orbits

2011 ◽  
Vol 34 (3) ◽  
pp. 893-902 ◽  
Author(s):  
Paul Ricord Griesemer ◽  
Cesar Ocampo ◽  
D. S. Cooley
Keyword(s):  
Periodic Orbits ◽  
Capture Trajectories

Periodic Orbits Associated with the Libration Points of the Massive Rotating Straight Segment

2014 ◽  
Vol 24 (04) ◽  
pp. 1430012 ◽  
Author(s):  
Volodymyr A. Romanov ◽  
Eusebius J. Doedel
Keyword(s):  
Periodic Orbits ◽  
Mass Density ◽  
Boundary Value ◽  
Libration Points ◽  
Numerical Continuation ◽  
Straight Segment ◽  
Simple Alternative ◽  
Families Of Periodic Orbits ◽  
Celestial Bodies ◽  
Selection Of

The massive straight segment, rotating around the axis perpendicular to its center, is a simple alternative for more precise and sophisticated models that take into account the shape and mass density of natural asteroids. In this article, we give numerical results for the families of periodic orbits that emanate from the five libration points of massive straight segment, and for some secondary bifurcating families. Possible application and extension of the results to research on the motion of satellites near small irregular-shaped celestial bodies are also discussed. The numerical continuation and bifurcation algorithms we use in our study are based on boundary value techniques, as implemented in AUTO. An extensive set of python scripts for running AUTO will be made available at http://users.encs.concordia.ca/~doedel . These scripts can be used to recompute the results in this paper, and to do a wide selection of related calculations.

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