Found 51 Documents (Results 1–51)
Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem. (English) Zbl 1540.70019
Finding regions of bounded motion in binary asteroid environment using Lagrangian descriptors. (English) Zbl 1520.70011
Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces. (English) Zbl 1505.70047
Exploring more solutions for low-energy transfers to lunar distant retrograde orbits. (English) Zbl 1482.70025
MSC:
70M20
First order stability test of equilibrium points in the planar elliptic restricted four body problem with radiating primaries. (English) Zbl 1498.70019
On the equilibria of the restricted four-body problem with triaxial rigid primaries - I. Oblate bodies. (English) Zbl 1496.70008
MSC:
70F10
On the equilibria of the planar equilateral restricted four-body problem with radiation pressure. (English) Zbl 1488.70014
The effect of radiation pressure on the basins of convergence in the restricted four-body problem. (English) Zbl 1496.70009
On the spatial collinear restricted four-body problem with non-spherical primaries. (English) Zbl 1483.70034
Hill four-body problem with oblate bodies: an application to the Sun-Jupiter-Hektor-Skamandrios system. (English) Zbl 1476.70047
On the evolution of balloon satellite motions in a plane restricted planetary four-body problem with light pressure. (English. Russian original) Zbl 1465.70046
Mech. Solids 55, No. 7, 999-1012 (2020); translation from Prikl. Mat. Mekh. 84, No. 1, 26-43 (2020).
MSC:
70F10
Exploring the location and linear stability of the equilibrium points in the equilateral restricted four-body problem. (English) Zbl 1460.70010
Basins of convergence in the collinear restricted four-body problem with a repulsive Manev potential. (English) Zbl 1448.65267
Linear stability of elliptic relative equilibria of restricted four-body problem. (English) Zbl 1461.37058
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Chaotic motions in the restricted four body problem via Devaney’s saddle-focus homoclinic tangle theorem. (English) Zbl 1422.37062
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Numerical-symbolic methods for searching relative equilibria in the restricted problem of four bodies. (English) Zbl 1488.70015
On the existence of libration points in the spatial collinear restricted four-body problem within frame of repulsive Manev potential and variable mass. (English) Zbl 1442.70009
Fuel optimization for low-thrust Earth-Moon transfer via indirect optimal control. (English) Zbl 1390.70024
The effect of perturbations on the circular restricted four-body problem with variable masses. (English) Zbl 1427.70030
Spatial collinear restricted four-body problem with repulsive Manev potential. (English) Zbl 1375.70035
Equilibrium points and basins of convergence in the linear restricted four-body problem with angular velocity. (English) Zbl 1373.70012
Study on chaotic behavior of the restricted four-body problem with an equilateral triangle configuration. (English) Zbl 1362.70015
Analytical study on the motions around equilibrium points of restricted four-body problem. (English) Zbl 1510.70034
On the Mars rotation under the action of gravity torque from the Sun, Jupiter and Earth. (Russian. English summary) Zbl 1371.70037
Arnold diffusion in a restricted planar four-body problem. (English) Zbl 1309.37054
Reviewer: Mircea Crâşmăreanu (Iaşi)
Equilibrium points and zero velocity surfaces in the restricted four-body problem with solar wind drag. (English) Zbl 1276.70010
A global regularisation for integrating the Caledonian symmetric four-body problem. (English) Zbl 1291.70031
Dynamical properties of the restricted four-body problem with radiation pressure. (English) Zbl 1192.70011
A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics. (English) Zbl 1116.70005
Weak stability boundary trajectories for the deployment of lunar spacecraft constellations. (English) Zbl 1219.70065
A restricted four-body model for the dynamics near the Lagrangian points of the Sun-Jupiter system. (English) Zbl 0996.70009
Reviewer: Gasanbek Arazov (Baku)
Dynamics and mission design near libration points. Vol. 4: Advanced methods for triangular points. (English) Zbl 0969.70002
World Scientific Monograph Series in Mathematics. 5. Singapore: World Scientific. x, 262 p. £41.00 (2001).
Reviewer: Nina A.Solovaya (Moskva)
Solutions of relative equilibrium in the restricted three- and four-body problems. (Portuguese. English summary) Zbl 0951.70007
Reviewer: Ana Nunes (Lisboa)
The bicircular model near the triangular libration points of the RTBP. (English) Zbl 0883.70008
Roy, Archie E. (ed.) et al., From Newton to chaos. Modern techniques for understanding and coping with chaos in \(n\)-body dynamical systems. Proceedings of a NATO Advanced Study Institute, Cortina D’Ampezzo, Italy, July 25-August 6, 1993. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 336, 343-370 (1995).
A restricted circular four body problem. (Russian. English summary) Zbl 0593.70014
Asymptotic solutions for a restricted four-body problem. (Italian. English summary) Zbl 0532.70005
Reviewer: A.Muracchini
MSC:
70F10
Partial solutions of a problem obtained from the Huang model by means of the Fatou averaging scheme. (English) Zbl 0506.70011
Partikuläre Lösungen eines Problems, das man aus dem Huangschen Modell durch Mittelung mit dem Fatouschen Schema erhält. (Russian) Zbl 0442.70014
Stability of periodic planetary-type orbits of the general planar N-body problem. (English) Zbl 0439.70012
Dynamics of the solar system, Proc. 81st Symp. int. astron. Union, Tokyo 1978, 23-28 (1979).
On the boundedness of solutions of a linearized restricted problem of four bodies. (English) Zbl 0151.35003
Icarus 5, No. 1-6, 299-302 (1966).
Reviewer: H. Fieber
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