We study nodal librations of outer particles in the framework of the elliptical restricted three-body problem including general relativity (GR) effects. From an analytical treatment based on secular interactions up to quadrupole level, we derive equations that define the nodal libration region of an outer test particle, which depends on the physical and orbital parameters of the bodies of the system. From this, we analyze how the GR constrains the semimajor axis of outer test particles that experience nodal librations under the effects of an inner planet around a single stellar component. Such an upper limit of the semimajor axis, which is called a2,lim , depends on the mass of the star ms, the mass m1, the semimajor axis a1, and the eccent...
Different extended objects can fall in different ways, depending on their internal structures. Some ...
Context. Planetary resonances are a common dynamical mechanism acting on planetary systems. However,...
The constancy of orbital velocities of peripheral stars in a spiral galaxy points to a potential reg...
Context. Recent studies have analyzed the dynamical evolution of outer small body populations under ...
Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-bod...
The secular approximation of the hierarchical three body systems has been proven to be very useful i...
In this paper, we continue our study of the motion of spinning test bodies orbiting Kerr black holes...
We review the orbital stability of the planar circular restricted three-body problemin the case of m...
We develop a framework based on energy kicks for the evolution of high-eccentricity long-period orbi...
The problem of the two-body gravitational interaction has been solved numerically based on the class...
In a recent paper, Idrisi, Ullah and Sikkandhar [1] considered some aspects of the Restricted Six-Bo...
The extreme mass ratio inspirals(EMRIs) are promising gravitational wave(GW) sources for space-borne...
Aims. We analyze the dynamics of small body reservoirs under the effects of an eccentric inner giant...
Extreme mass ratio inspirals (EMRIs) -- systems with a compact object orbiting a much more massive (...
In a planetary or satellite system, idealized as n small bodies in initially coplanar, concentric or...
Different extended objects can fall in different ways, depending on their internal structures. Some ...
Context. Planetary resonances are a common dynamical mechanism acting on planetary systems. However,...
The constancy of orbital velocities of peripheral stars in a spiral galaxy points to a potential reg...
Context. Recent studies have analyzed the dynamical evolution of outer small body populations under ...
Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-bod...
The secular approximation of the hierarchical three body systems has been proven to be very useful i...
In this paper, we continue our study of the motion of spinning test bodies orbiting Kerr black holes...
We review the orbital stability of the planar circular restricted three-body problemin the case of m...
We develop a framework based on energy kicks for the evolution of high-eccentricity long-period orbi...
The problem of the two-body gravitational interaction has been solved numerically based on the class...
In a recent paper, Idrisi, Ullah and Sikkandhar [1] considered some aspects of the Restricted Six-Bo...
The extreme mass ratio inspirals(EMRIs) are promising gravitational wave(GW) sources for space-borne...
Aims. We analyze the dynamics of small body reservoirs under the effects of an eccentric inner giant...
Extreme mass ratio inspirals (EMRIs) -- systems with a compact object orbiting a much more massive (...
In a planetary or satellite system, idealized as n small bodies in initially coplanar, concentric or...
Different extended objects can fall in different ways, depending on their internal structures. Some ...
Context. Planetary resonances are a common dynamical mechanism acting on planetary systems. However,...
The constancy of orbital velocities of peripheral stars in a spiral galaxy points to a potential reg...