Formulation of the Circular Restricted N-Body Problem (CRNBP) in the Jovian system

AJ Gilliam, RA Bettinger - Celestial Mechanics and Dynamical Astronomy, 2024 - Springer
Simplified models such as the Circular Restricted 3-Body Problem (CR3BP) are widely used
to obtain an understanding of periodic and quasi-periodic orbits without the need for a …

Deep Learning Based Dynamics Identification and Linearization of Orbital Problems using Koopman Theory

G Nehma, M Tiwari, M Lingam - arXiv preprint arXiv:2403.08965, 2024 - arxiv.org
The study of the Two-Body and Circular Restricted Three-Body Problems in the field of
aerospace engineering and sciences is deeply important because they help describe the …

Variable-fidelity sensors and observer uncertainty using touring multi-body periodic orbits to conduct cislunar SSA: preliminary study

JM Block, AP Wilmer, RA Bettinger… - The Journal of …, 2024 - journals.sagepub.com
An accelerating interest in cislunar space and lunar orbit for civilian, commercial, and
scientific missions requires a space situational awareness (SSA) architecture extending …

Preliminary investigation and proposal of periodic orbits and their utilization for logistics in the cislunar regime

AP Wilmer, RA Bettinger, LM Shockley, MJ Holzinger - Space Policy, 2024 - Elsevier
The world is in the midst of what is widely considered the second Space Age due to the
vastly growing commercial space sector and progress with international initiatives such as …

Sun–Venus CR3BP, part 2: resonance investigation and planar periodic orbit family generation

RA Bettinger, AP Wilmer, JA Dahlke - Archive of Applied Mechanics, 2024 - Springer
Venus, Earth's closest neighbor in the Solar System, shares similar characteristics such as
size, density, and location within the Sun's hospitable zone. As a result, it has been …

[PDF][PDF] Touring cislunar periodic orbit test case for Earth-Moon search and rescue

TJ Fay, AP Wilmer, RA Bettinger - 2023 AAS/AIAA Space Flight …, 2023 - researchgate.net
Cislunar space is a region of growing interest with nations investing resources to cultivate
long presence habitations on the lunar surface. With this increased attention, cislunar orbital …

Investigation of near-rectilinear halo orbit search and rescue using staging L1/L2 Lyapunov and distant retrograde orbit families

TJ Fay, AP Wilmer, RA Bettinger - Journal of Space Safety Engineering, 2024 - Elsevier
Cislunar space is a region of growing interest with nations investing resources to cultivate
long presence habitations on the lunar surface. With this increased attention and expansion …

Preliminary Approach to Resilient Cislunar Space Domain Awareness Architecture Design

VA Yang, JT McNabb, MG Balchanos… - AIAA SCITECH 2025 …, 2025 - arc.aiaa.org
Space Domain Awareness (SDA) is a key enabler for further developments in the space
environment. It encompasses target detection, tracking, and identification for both space …

Lagrangian Dynamics and Investigation of Stable Points in the Circular Restricted N-Body Problem (CRNBP)

AJ Gilliam, R Bettinger - AIAA SCITECH 2025 Forum, 2025 - arc.aiaa.org
Equilibrium points are essential in the study of multi-body orbital dynamics based on the
increased stability and potential usage of these unique points. Denoted as Lagrange or …

Transport geometry of the restricted three-body problem

JT Fitzgerald - 2023 - vtechworks.lib.vt.edu
This dissertation expands across three topics the geometric theory of phase space transit in
the circular restricted three-body problem (CR3BP) and its generalizations. The first topic …