Lunar Flight Study Series: Volume 3. Earth to Moon Trajectory Investigation for Mission Profiles Involving a Lunar Parking Orbit
Three-body moon-earth satellite orbit and trajectory calculations for injection and periselenum
THREE-BODY PROBLEM↗
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ON THE ELLIPTIC CASE OF THE RESTRICTED PROBLEM OF THREE BODIES AND THE REMOTE HISTORY OF THE EARTH-MOON SYSTEM
Jacobi integral and the elliptic case of the restricted problem of three bodies, and study of the remote history of the earth-moon system
THREE-BODY PROBLEM↗
A group of earth-to-moon trajectories with consecutive collisions.
Set of earth to moon trajectories and its relation to apollo mission trajectories
THREE-BODY PROBLEM↗
Instructions for the use of the marquardt ibm 7040 computer program. controlled tethering in space
Computer program for orbiting three body system simulation in Fortran
THREE-BODY PROBLEM↗
Decomposition of the schroedinger equation for two identical particles and a third particle of finite mass.
Angular momentum decomposition of Schrodinger equation extended to case of two identical particles and third particle of finite mass
PARTICLE THEORY↗
The theory of long-term behavior of artificial satellite orbits due to third-body perturbations
Third-body perturbation effects on satellite orbit reduced to nonlinear system requiring elliptic integrals
NONLINEAR EQUATION↗
Recent developments in analytical celestial mechanics
Derivation of closed perturbed precessing elliptic orbits of arbitrary eccentricity and small major axis about smaller of two attracting bodies of arbitrary mass ratio
CELESTIAL MECHANICS↗
The restricted problem of three bodies. II.
Periodic solutions for sputnik motion in gravitational field of two other bodies of finite mass
GRAVITATIONAL FIELD↗
Nonadditivity of intermolecular forces - Effects on the third virial coefficient.
Three-body nonadditivity of repulsive forces on classical third virial coefficient
THREE-BODY PROBLEM↗
The dominant features of the long-period librations of the Trojan minor planets
Long-period librations of Trojan planetary orbits in rotating three-body coordinate system
TROJAN ORBIT↗
Methods of regularization for computing orbits in celestial mechanics
Numerical and analytical methods for orbit computation in celestial mechanics during and beyond collision by introduction of regularized coordinates
ORBIT CALCULATION↗
Self-consistent three-body calculation of pion-nucleon scattering.
Self-consistent three-body calculation of pion- nucleon scattering using off-energy shell theory
THREE-BODY PROBLEM↗
Third-order stability of the long-period Trojan librations.
Stability analysis of long period Trojan librations treated as short period oscillations about long period reference solution
SECULAR PERTURBATION↗
Lowest super 1 S and super 3 P scattering resonances in the e-H system.
Position and width of lowest elastic scattering resonances in three-body atomic system, showing resonance shape dependence upon observation angle and angular resolution
RESONANCE SCATTERING↗
Application of Krylov-Bogolubov method to the solution of the stellar three body problem.
Motion in ternary stellar system consisting of central body and close and distant companions
PERTURBATION THEORY↗
Measurement of ionic recombination rate of nitrogen.
Electron-ion three-body recombination rate in nonequilibrium dense nitrogen plasma measured spectroscopically
DECAY RATE↗
Coupled-channel approach to isotensor π π π scattering from lattice QCD
The quest to understand three-body dynamics from first-principle QCD includes the study of nonresonant and resonant systems. The isospin I = 2 system is of particular interest having no three-body resonance but featuring a resonance in a subchannel, while also being a coupled-channel problem. In this study, we calculate the finite-volume spectrum from lattice QCD at two different pion masses, map the amplitude to the infinite volume through a generalized Finite-Volume Unitarity three-body quantization condition, investigate the limit of a narrow ρ , and compare with an effective Lagrangian prediction at leading order. Chiral extrapolations between different pion masses are performed.
Feng, Yuchuan [The George Washington University] (↗
Toward scalable bound-to-resonance extrapolations for few- and many-body systems
In open quantum many-body systems, the theoretical description of resonant states of many particles strongly coupled to the continuum can be challenging. Such states are commonplace in, for example, exotic nuclei and hadrons, and can reveal important information about the underlying forces at play in these systems. In this work, we demonstrate that the complex-augmented eigenvector continuation (CA-EC) method, originally formulated for the two-body problem with uniform complex scaling, can reliably perform bound-to-resonance extrapolations for genuine three-body resonances having no bound subsystems. Here, we first establish that three-body bound-to-resonance extrapolations are possible by benchmarking different few-body approaches, and we provide arguments to explain how the extrapolation works in the many-body case. We furthermore pave the way towards scalable resonance extrapolations in many-body systems by showing that the CA-EC method also works in the Berggren basis, studying a realistic application using the Gamow shell model.
Ab initio calculations↗