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Related papers: Low-Energy Round-Trip Trajectories to Near-Earth O…

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We have conducted a detailed simulation of LSST's ability to link near-Earth and main belt asteroid detections into orbits. The key elements of the study were a high-fidelity detection model and the presence of false detections in the form…

Earth and Planetary Astrophysics · Physics 2017-06-30 Peter Vereš , Steven R. Chesley

By fully exploiting the mobility of unmanned aerial vehicles (UAVs), UAV-based aerial base stations (BSs) can move closer to ground users to achieve better communication conditions. In this paper, we consider a scenario where an aerial BS…

Signal Processing · Electrical Eng. & Systems 2019-01-24 Jingcong Sun , Christos Masouros

Equipping a spacecraft with multiple solar-powered electric engines (of the same or different types) compounds the task of optimal trajectory design due to presence of both real-valued inputs (power input to each engine in addition to the…

Optimization and Control · Mathematics 2020-06-24 Ehsan Taheri , John L. Junkins , Ilya Kolmanovsky , Anouck Girard

Designing robust space trajectories in nonlinear dynamical environments, such as the Earth-Moon circular restricted three-body problem (CR3BP), poses significant challenges due to sensitivity to initial conditions and non-Gaussian…

Optimization and Control · Mathematics 2026-05-13 Thomas Caleb , Roberto Armellin , Stéphanie Lizy-Destrez

As low-thrust space missions increase in prevalence, it is becoming increasingly important to design robust trajectories against unforeseen thruster outages or missed thrust events. Accounting for such events is particularly important in…

Optimization and Control · Mathematics 2025-06-18 Amlan Sinha , Ryne Beeson

A small variation of the circular shape of the hodograph theorem states that for every elliptical solution of the two-body problem, it is possible to find an appropriate inertial frame such that the speed of the bodies is constant. We use…

Earth and Planetary Astrophysics · Physics 2021-09-27 Carman Cater , Oscar Perdomo , Amanda Valentine

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 designing transfer trajectories in space missions. However, most…

Dynamical Systems · Mathematics 2021-10-01 Bhanu Kumar , Rodney L. Anderson , Rafael de la Llave

Pluto and Charon are a dwarf binary system with a high mass ratio $\mu$, preventing Trojan companions. This instability creates ideal intersections for low-energy pathways that spacecraft can traverse and serves as an important test case…

Earth and Planetary Astrophysics · Physics 2025-12-11 Abdul Wahab Jbara

We present a computational approach for the design of continuous low thrust transfers around an asteroid. These transfers are computed through the use of a reachability set generated on a lower dimensional Poincar\'e surface. Complex, long…

Optimization and Control · Mathematics 2016-08-22 Shankar Kulumani , Taeyoung Lee

The use of electric low-thrust propulsion systems for orbit maneuvers is becoming a popular choice among satellite manufacturers due to their inherent merits over their chemical counterparts. Many designers choose to incorporate multiple of…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

A bi-level optimal control framework is introduced to solve the low-thrust re-phasing problem on quasi-periodic invariant tori in multi-body environments where deviations away from the torus during maneuver are considered unsafe or…

Chaotic Dynamics · Physics 2025-11-03 Ian M. Down , Manoranjan Majji , Kathleen C. Howell

Missions to near-Earth objects (NEOs) are key destinations in NASA's new "Flexible Path" approach. NEOs are also of interest for science, for the hazards they pose, and for their resources. We emphasize the importance of ultra-low delta-v…

Earth and Planetary Astrophysics · Physics 2011-06-16 Martin Elvis , Jonathan McDowell , Jeffrey A. Hoffman , Richard P. Binzel

We demonstrate the remarkable effectiveness of boundary value formulations coupled to numerical continuation for the computation of stable and unstable manifolds in systems of ordinary differential equations. Specifically, we consider the…

Dynamical Systems · Mathematics 2017-06-01 Renato C. Calleja , Eusebius J. Doedel , Antony R. Humphries , Alexandra Lemus , Bart E. Oldeman

In this paper, the L1-minimization for the translational motion of a spacecraft in a circular restricted three-body problem (CRTBP) is considered. Necessary con- ditions are derived by using the Pontryagin Maximum Principle, revealing the…

Optimization and Control · Mathematics 2016-06-22 Zheng Chen

In this paper, we consider the classical spacecraft rendezvous problem in which the so-called active spacecraft has to approach the target spacecraft which is moving in an elliptical orbit around a planet by using the minimum possible…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Vrushabh Zinage , Efstathios Bakolas

This contribution focuses on the design of low-energy transfers between planetary moons and presents an efficient technique to compute trajectories characterized by desirable behaviors in the vicinities of the departure and destination…

Chaotic Dynamics · Physics 2023-08-22 David Canales , Kathleen C. Howell , Elena Fantino , Annika J. Gilliam

Spacecraft trajectory design is a global search problem, where previous work has revealed specific solution structures that can be captured with data-driven methods. This paper explores two global search problems in the circular restricted…

Machine Learning · Computer Science 2024-12-31 Jannik Graebner , Anjian Li , Amlan Sinha , Ryne Beeson

The rapid expansion of mega-constellations in low Earth orbits has posed significant challenges to space traffic management, necessitating periodic inspections of satellites to ensure the sustainability of the space environment when…

Systems and Control · Electrical Eng. & Systems 2025-07-08 An-Yi Huang , Hong-Xin Shen , Zhao Li , Cong Sun , Chao Sheng , Zheng-Zhong Kuai

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 whiskered tori. Intersections between stable and unstable…

Dynamical Systems · Mathematics 2023-10-19 Bhanu Kumar , Rodney L. Anderson , Rafael de la Llave

This work presents a new method for generating impulsive trajectories in restricted two-body systems by leveraging Riemannian geometry. The proposed method transforms the standard trajectory optimization problem into a purely geometric one…

Systems and Control · Electrical Eng. & Systems 2025-08-18 Samuel G. Gessow , James Tseng , Eden Zafran , Brett T. Lopez
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