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Navigation in the cislunar domain presents significant challenges due to chaotic and unmodeled dynamics, as well as state-dependent sensor errors. This paper develops a robust estimation framework based on Linear Fractional Transformation…

Optimization and Control · Mathematics 2025-09-09 Tanay Kumar , Raktim Bhattacharya

This paper proposes a nonlinear guidance algorithm for fuel-optimal impulsive trajectories for rendezvous operations close to a reference orbit. The approach involves overparameterized monomial coordinates and a high-order approximation of…

Optimization and Control · Mathematics 2026-01-12 Omar Regantini , Ethan R. Burnett , Antonio Rizza , Alessandro Morselli , Francesco Topputo

This paper develops a robust estimation framework for cislunar navigation that embeds the Circular Restricted Three-Body Problem (CR3BP) dynamics and bearing-only optical measurements within a Linear Fractional Transformation (LFT)…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Raktim Bhattacharya

The construction of highly incoherent frames, sequences of vectors placed on the unit hyper sphere of a finite dimensional Hilbert space with low correlation between them, has proven very difficult. Algorithms proposed in the past have…

Information Theory · Computer Science 2016-11-28 Cristian Rusu , Nuria González-Prelcic

We present an implementation-oriented relativistic modeling framework for high-precision GNSS processing consistent with the IAU-adopted Barycentric and Geocentric Celestial Reference Systems (BCRS/GCRS) and their associated time scales…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Slava G. Turyshev , Yoaz E. Bar-Sever , William I. Bertiger

Spacecraft operations are influenced by uncertainties such as dynamics modeling, navigation, and maneuver execution errors. Although mission design has traditionally incorporated heuristic safety margins to mitigate the effect of…

Optimization and Control · Mathematics 2025-06-10 Naoya Kumagai , Kenshiro Oguri

In this paper, we simultaneously determine the optimal sensor precision and the observer gain, which achieves the specified accuracy in the state estimates. Along with the unknown observer gain, the formulation parameterizes the scaling of…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Vedang M. Deshpande , Raktim Bhattacharya

The resurgence of lunar operations requires advancements in cislunar navigation and Space Situational Awareness (SSA). Challenges associated to these tasks have created an interest in autonomous planning, navigation, and tracking…

Robotics · Computer Science 2024-09-02 Trevor N. Wolf , Brandon A. Jones

This paper addresses the sparse actuation problem for nonlinear systems represented in the Linear Parameter-Varying (LPV) form. We propose a convex optimization framework that concurrently determines actuator magnitude limits and the…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Tanay Kumar , Raktim Bhattacharya

This paper introduces a landing guidance strategy for reusable launch vehicles (RLVs) using a model predictive approach based on sequential convex programming (SCP). The proposed approach devises two distinct optimal control problems…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Ki-Wook Jung , Sang-Don Lee , Cheol-Goo Jung , Chang-Hun Lee

In order to understand the appropriate field of view (FOV) size of celestial automatic navigation systems for surface ships, we investigate the variations of measurement accuracy of star position and probability of successful star…

In this paper, we propose novel methods to increase total luminosity and decrease error propagation during subluminal or luminal interstellar transits by navigation with star maps. We demonstrate with theoretical and simulation models in…

General Physics · Physics 2023-02-03 Nghi C. Nguyen

The traffic in cislunar space is expected to increase over the coming years, leading to a higher likelihood of conjunction events among active satellites, orbital debris, and non-cooperative satellites. This increase necessitates enhanced…

Optimization and Control · Mathematics 2025-07-18 Thomas H. Clareson , Matthew C. Fox , Dominic K. Amato , Hang Woon Lee

Cislunar space domain awareness is of increasing interest to the international community as Earth-Moon traffic is projected to increase, which raises the problem of placing space-based sensors optimally in a constellation to satisfy the…

Optimization and Control · Mathematics 2025-08-20 Malav Patel , Yuri Shimane , Hang Woon Lee , Koki Ho

The design of an indigenous Lunar Navigation Satellite System (LNSS) is receiving growing attention due to the surge in planned lunar missions and the limited accessibility of Earth-based Global Navigation Satellite Systems (GNSS) in the…

Earth and Planetary Astrophysics · Physics 2025-10-29 Rameez A. Malik , Yang Yang

Navigation and trajectorial estimation of maritime vessels are contingent upon the context of positional accuracy. Even the smallest deviations in the estimation of a given vessel may result in detrimental consequences in terms of economic…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Atilla Alpay Nalcaci , Fidan Mehmeti , Wolfgang Kellerer , Florian Schiegg

To provide backup and augmentation to global navigation satellite system (GNSS), Doppler shift from Low Earth Orbit (LEO) satellites can be employed as signals of opportunity (SOP) for position, navigation and timing (PNT). Since the…

Robotics · Computer Science 2025-09-23 Baoshan Song , Weisong Wen , Qi Zhang , Bing Xu , Li-Ta Hsu

Magnetic levitation positioning technology has attracted considerable research efforts and dedicated attention due to its extremely attractive features. The technology offers high-precision, contactless, dust/lubricant-free, multi-axis, and…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Jun Ma , Zilong Cheng , Haiyue Zhu , Xiaocong Li , Masayoshi Tomizuka , Tong Heng Lee

Most Vision-and-Language Navigation (VLN) algorithms are prone to making inaccurate decisions due to their lack of visual common sense and limited reasoning capabilities. To address this issue, we propose a Hierarchical Spatial Proximity…

Computer Vision and Pattern Recognition · Computer Science 2024-10-23 Ming Xu , Zilong Xie

The large constellations of spacecraft planned for use in cislunar space (on the Lunar surface, in Lunar orbit, and in the vicinity of the Lunar Gateway) require new solutions for positioning, navigation and timing (PNT). Here, I describe…

Instrumentation and Methods for Astrophysics · Physics 2020-05-21 T. M. Eubanks
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