31 citations · 54 across the 7 of their papers we have counts for
8 papers
Effective shadowing of transition maps for a Hamiltonian saddle-center-center equilibrium
Rodney L. Anderson, Amadeu Delshams, Marian Gidea +1
We introduce a general methodology to construct globally unstable trajectories near the normally hyperbolic invariant manifold (NHIM) of a saddle-center-center Hamiltonian equilibr…
4th Body-Induced Secondary Resonance Overlapping Inside Unstable Resonant Orbit Families: a Jupiter-Ganymede 4:3 + Europa Case Study
Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
The overlapping of mean-motion resonances is useful for low or zero-propellant space mission design, but while most related prior work uses a planar CRTBP model, tours of multi-moo…
Isolating Neighborhood Trajectory Computations in Non-Autonomous Systems Including the Elliptic Restricted Three-Body Problem
Rodney L. Anderson, Robert W. Easton, Martin W. Lo
Isolating block and isolating neighborhood methods have previously been implemented to find transit trajectories and orbits around libration points in the autonomous circular restr…
Computation and Analysis of Jupiter-Europa and Jupiter-Ganymede Resonant Orbits in the Planar Concentric Circular Restricted 4-Body Problem
Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave +1
Many unstable periodic orbits of the planar circular restricted 3-body problem (PCRTBP) persist as invariant tori when a periodic forcing is added to the equations of motion. In th…
High-Order Resonant Orbit Manifold Expansions For Mission Design In the Planar Circular Restricted 3-Body Problem
Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
In recent years, stable and unstable manifolds of invariant objects (such as libration points and periodic orbits) have been increasingly recognized as an efficient tool for design…
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems
Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
When the planar circular restricted 3-body problem (PCRTBP) is periodically perturbed, as occurs in many useful astrodynamics models, most unstable periodic orbits persist as whisk…
An elementary solution to Lambert's problem
Robert Easton, Rodney Anderson, Martin Lo
A fundamental problem in spacecraft mission design is to find a free flight path from one place to another with a given transfer time. This problem for paths in a central force fie…
Rapid and Accurate Methods for Computing Whiskered Tori and their Manifolds in Periodically Perturbed Planar Circular Restricted 3-Body Problems
Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
When the planar circular restricted 3-body problem (RTBP) is periodically perturbed, families of unstable periodic orbits break up into whiskered tori, with most tori persisting in…