Parametric evolution of periodic orbits in the restricted four-body problem with radiation pressure

2007 ◽  
Vol 55 (4) ◽  
pp. 475-493 ◽  
Author(s):  
T.J. Kalvouridis ◽  
M. Arribas ◽  
A. Elipe
Keyword(s):  
Periodic Orbits ◽  
Radiation Pressure ◽  
Body Problem ◽  
Four Body Problem

scholarly journals Solar Radiation Pressure Effects on Stability of Periodic Orbits in Restricted Four-Body Problem

2019 ◽  
Vol 09 (08) ◽  
pp. 191-204
Author(s):  
M. N. Ismail ◽  
A. H. Ibrahim ◽  
A. S. Zaghrout ◽  
S. H. Younis ◽  
F. S. Elmalky ◽  
...  
Keyword(s):  
Solar Radiation ◽  
Periodic Orbits ◽  
Radiation Pressure ◽  
Body Problem ◽  
Solar Radiation Pressure ◽  
Pressure Effects ◽  
Stability Of Periodic Orbits ◽  
Four Body Problem

scholarly journals Progression of bifurcated family f type periodic orbits in the circular restricted three-body problem

2017 ◽  
Vol 5 (2) ◽  
pp. 69
Author(s):  
Nishanth Pushparaj ◽  
Ram Krishan Sharma
Keyword(s):  
Solar Radiation ◽  
Periodic Orbits ◽  
Radiation Pressure ◽  
Body Problem ◽  
Solar Radiation Pressure ◽  
Restricted Three Body Problem ◽  
Mass Ratio ◽  
Three Body Problem ◽  
Semi Major Axis ◽  
Three Body

Progression of f-type family of periodic orbits, their nature, stability and location nearer the smaller primary for different mass ratios in the framework of circular restricted three-body problem is studied using Poincaré surfaces of section. The orbits around the smaller primary are found to decrease in size with increase in Jacobian Constant C, and move very close towards the smaller primary. The orbit bifurcates into two orbits with the increase in C to 4.2. The two orbits that appear for this value of C belong to two adjacent separate families: one as direct orbit belonging to family g of periodic orbits and other one as retrograde orbit belonging to family f of periodic orbits. This bifurcation is interesting. These orbits increase in size with increase in mass ratio. The elliptic orbits found within the mass ratio 0 < µ ≤ 0.1 have eccentricity less than 0.2 and the orbits found above the mass ratio µ > 0.1 are elliptical orbits with eccentricity above 0.2. Deviations in the parameters: eccentricity, semi-major axis and time period of these orbits with solar radiation pressure q are computed in the frame work of photogravitational restricted Three-body problem in addition to the restricted three-body problem. These parameters are found to decrease with increase in the solar radiation pressure.

scholarly journals On merging of resonant periodic orbits 4:3; 3:2 and 2:1 in Sun-Jupiter photo gravitational restricted three-body problem

2019 ◽  
Vol 7 (1) ◽  
pp. 17
Author(s):  
Prashant Kumar ◽  
Ram Krishan Sharma
Keyword(s):  
Periodic Orbits ◽  
Radiation Pressure ◽  
Body Problem ◽  
Solar Radiation Pressure ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Surface Of Section ◽  
Poincaré Surface Of Section ◽  
Frame Work ◽  
Three Body

We explore the merging of resonant periodic orbits in the frame work of planar circular restricted three body problem with the help of Poincaré surface of section. We have studied the effect of solar radiation pressure on 4:3, 3:2 and 2:1 periodic orbits. It is found that radiation pressure helps in merging these orbits (4:3 and 3.2 into 1:1 resonance and 2:1 into 1:1 resonance). At the time of merging these orbits become near-circular. The period and size of these orbits reduce with the increase in radiation pressure.  

Periodic orbits in the restricted four-body problem

1986 ◽  
Vol 13 (8) ◽  
pp. 473-479 ◽  
Author(s):  
K.C. Howell ◽  
D.B. Spencer
Keyword(s):  
Periodic Orbits ◽  
Body Problem ◽  
Four Body Problem

The Existence of Retrograde Orbits for the Four-Body Problem with Various Choices of Masses

2013 ◽  
Vol 871 ◽  
pp. 101-106
Author(s):  
Chong Li
Keyword(s):  
Variational Methods ◽  
Periodic Orbits ◽  
Opposite Direction ◽  
Body Problem ◽  
Topological Type ◽  
The Other ◽  
Action Functional ◽  
Four Body Problem

In this paper, we study the planar Newtonian four-body problem with various choices of masses. We prove that there exist infinitely many periodic and quasi-periodic orbits with certain topological type, called retrograde orbits, that minimize the action functional on certain path spaces. On these orbits, two particles revolve around each other in one direction, while the other two particles travel on themselves orbits in opposite direction, respectively. Our proof is based on variational methods inspired by the work of Kuo-Chang Chen.

The effect of radiation pressure on the basins of convergence in the restricted four-body problem

2020 ◽  
Vol 141 ◽  
pp. 110347
Author(s):  
Md Sanam Suraj ◽  
Rajiv Aggarwal ◽  
Md Chand Asique ◽  
Amit Mittal
Keyword(s):  
Radiation Pressure ◽  
Body Problem ◽  
Four Body Problem

Periodic orbits and bifurcations in the Sitnikov four-body problem

2008 ◽  
Vol 100 (4) ◽  
pp. 251-266 ◽  
Author(s):  
P. S. Soulis ◽  
K. E. Papadakis ◽  
T. Bountis
Keyword(s):  
Periodic Orbits ◽  
Body Problem ◽  
Four Body Problem
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