Families of Periodic Orbits for Solar Sails in the CRBTP

2014 ◽  
pp. 871-884 ◽  
Author(s):  
Patricia Verrier ◽  
Thomas Waters ◽  
Jan Sieber
Keyword(s):  
Periodic Orbits ◽  
Solar Sails ◽  
Families Of Periodic Orbits

scholarly journals Families of periodic orbits: Virtual periods and global continuability

1984 ◽  
Vol 55 (1) ◽  
pp. 59-71 ◽  
Author(s):  
Kathleen T Alligood ◽  
James A Yorke
Keyword(s):  
Periodic Orbits ◽  
Families Of Periodic Orbits

Computation of families of periodic orbits and bifurcations around a massive annulus

2011 ◽  
Vol 338 (1) ◽  
pp. 23-33 ◽  
Author(s):  
E. Tresaco ◽  
A. Elipe ◽  
A. Riaguas
Keyword(s):  
Periodic Orbits ◽  
Families Of Periodic Orbits

NATURAL FAMILIES OF PERIODIC ORBITS

1966 ◽  
Author(s):  
Andre Deprit ◽  
Jacques Henrard
Keyword(s):  
Periodic Orbits ◽  
Families Of Periodic Orbits ◽  
Natural Families

Natural families of periodic orbits

1967 ◽  
Vol 72 ◽  
pp. 158 ◽  
Author(s):  
Andre Deprit ◽  
Jacques Henrard
Keyword(s):  
Periodic Orbits ◽  
Families Of Periodic Orbits ◽  
Natural Families

scholarly journals Stability of Periodic Planetary-Type Orbits of the General Planar N-Body Problem

1979 ◽  
Vol 81 ◽  
pp. 23-28
Author(s):  
John D. Hadjidemetriou
Keyword(s):  
Periodic Orbits ◽  
Body Problem ◽  
Frame Of Reference ◽  
Rotating Frame ◽  
N Body Problem ◽  
Families Of Periodic Orbits ◽  
Special Case

It is known that families of periodic orbits in the general N-body problem (N≥3) exist, in a rotating frame of reference (Hadjidemetriou 1975, 1977). A special case of the above families of periodic orbits are the periodic orbits of the planetary type. In this latter case only one body, which we shall call sun, is the more massive one and the rest N-1 bodies, which we shall call planets, have small but not negligible masses. The aim of this paper is to study the properties of the families of periodic planetary-type orbits, with particular attention to stability. To make the presentation clearer, we shall start first with the case N=3 and we shall extend the results to N>3. We shall discuss planar orbits only.

scholarly journals Formation of inner rings in 3D potentials of barred galaxies

2004 ◽  
Vol 220 ◽  
pp. 275-276
Author(s):  
Panos A. Patsis ◽  
Charalampos Skokos ◽  
E. Athanassoula
Keyword(s):  
Periodic Orbits ◽  
Major Axis ◽  
Minor Axis ◽  
Barred Galaxies ◽  
High Energies ◽  
Families Of Periodic Orbits ◽  
Two Sides ◽  
Analytic Potential

In a 3D analytic potential we find the families of periodic orbits that support the formation of inner rings. These are families at high energies, between the inner radial ultraharmonic 4:1 (iUHR) resonance and corotation, influenced by the 4:1, 6:1 and 8:1 resonances. the inner rings they support are mainly ovals and polygons with ‘corners’ on the bar minor axis, on its sides, which correspond to morphologies often seen in real galaxies like NGC 6782 and IC 4290. We also investigate the conditions under which less probable shapes of rings may be supported by orbits at the region. Such rings include pentagonal features (NGC 3367) and hexagons with cusps on the major axis of the bar and two sides parallel to it (NGC 7020).

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