Hovering in Space: Those Mysterious Lagrangian Points

2012 ◽  
pp. 397-418
Author(s):  
Douglas W. MacDougal
Keyword(s):  
Lagrangian Points

scholarly journals The habitable zone of Kepler-16: impact of binarity and climate models

2018 ◽  
Vol 18 (1) ◽  
pp. 79-89 ◽  
Author(s):  
S. Y. Moorman ◽  
B. L. Quarles ◽  
Zh. Wang ◽  
M. Cuntz
Keyword(s):  
Binary System ◽  
Main Sequence ◽  
Climate Models ◽  
Main Sequence Star ◽  
Habitable Zone ◽  
Lagrangian Points ◽  
The Earth ◽  
Stable Solutions

AbstractWe continue to investigate the binary system Kepler-16, consisting of a K-type main-sequence star, a red dwarf and a circumbinary Saturnian planet. As part of our study, we describe the system's habitable zone based on different climate models. We also report on stability investigations for possible Earth-mass Trojans while expanding a previous study by B. L. Quarles and collaborators given in 2012. For the climate models, we carefully consider the relevance of the system's parameters. Furthermore, we pursue new stability simulations for the Earth-mass objects starting along the orbit of Kepler-16b. The eccentricity distribution as obtained prefers values close to circular, whereas the inclination distribution remains flat. The stable solutions are distributed near the co-orbital Lagrangian points, thus enhancing the plausibility that Earth-mass Trojans might be able to exist in the Kepler-16(AB) system.

Asymptotic solutions of the restricted problem near the equilateral Lagrangian points

1985 ◽  
Vol 35 (2) ◽  
pp. 189-200 ◽  
Author(s):  
R. Cid ◽  
S. Ferrer ◽  
J. A. Caballero
Keyword(s):  
Restricted Problem ◽  
Asymptotic Solutions ◽  
Lagrangian Points

scholarly journals Location and stability of the triangular Lagrange points in photo-gravitational elliptic restricted three body problem with the more massive primary as an oblate spheroid

2019 ◽  
Vol 7 (2) ◽  
pp. 57
Author(s):  
A. Arantza Jency ◽  
Ram Krishan Sharma
Keyword(s):  
Body Problem ◽  
Critical Mass ◽  
Oblate Spheroid ◽  
Motion Equation ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Lagrangian Points ◽  
Mean Motion ◽  
The Mean ◽  
Three Body

The triangular Lagrangian points of the elliptic restricted three-body problem (ERTBP) with oblate and radiating more massive primary are studied. The mean motion equation used here is different from the ones employed in many studies on the perturbed ERTBP. The effect of oblateness on the mean motion equation varies. This change influences the location and stability of the triangular Lagrangian points. The points tend to shift in the y-direction. The influence of the oblateness on the critical mass ratio is also altered. But the eccentricity limit  for stability remains the same.   

Numerical study about natural escape and capture routes by the Moon via Lagrangian points L1 and L2

2007 ◽  
Vol 40 (1) ◽  
pp. 83-95 ◽  
Author(s):  
C DEMELO ◽  
E MACAU ◽  
O WINTER ◽  
E VIEIRANETO
Keyword(s):  
Numerical Study ◽  
The Moon ◽  
Lagrangian Points ◽  
L1 And L2
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