Abstract Spacecraft trajectory optimization is essential for all the different phases of a space mission, from its launch to end-of-life disposal. Due increase in number satellites and future missions beyond our planet, increasing level autonomy spacecraft key technical challenge. In this context, traditional methods, like direct indirect methods are not suited autonomous or on-board operations due lack guaranteed convergence high demand computational power. Heuristic control laws represent...

The problem of nonlinear uncertainty propagation represents a crucial issue in celestial mechanics. In this paper, method for based on differential algebra is presented. Working the framework enables general approach to that can provide highly accurate estimate with low computational cost. mapping statistics shown here, adopting two-body as working framework, including coordinate system transformations. feature proposed also demonstrated by presenting long-term integrations complex dynamic...

Abstract Space debris have become exceedingly dangerous over the years as number of objects in orbit continues to increase. Active removal (ADR) missions gained significant interest effective means mitigating risk collision between space. This study focuses on developing a multi-ADR mission that utilizes controlled reentry and deorbiting. The comprises two spacecraft: Servicer brings low altitude Shepherd rendezvous with later perform reentry. A preliminary design tool (PMDT) was developed...

This paper introduces a novel method for the automatic detection and handling of nonlinearities in generic transformation. A nonlinearity index that exploits second-order Taylor expansions polynomial bounding techniques is first introduced to estimate Jacobian variation nonlinear then embedded into low-order domain splitting algorithm accurately describes mapping an initial uncertainty set through transformation by whenever grow above predefined threshold. The illustrated critical case...

Abstract The strapdown inertial navigation system (SINS)/doppler velocity log (DVL) integrated is one of the primary methods for underwater navigation, providing autonomous vehicles with precise information on position, velocity, and attitude. core idea SINS/DVL using Kalman filter to establish state observation equations estimate SINS error DVL velocity. optimal estimation correction strategies are critical accuracy navigation. To address this, this paper proposes a hybrid method based...

Abstract The strapdown inertial navigation system (SINS)/doppler velocity log (DVL) integrated is one of the primary methods for underwater navigation, providing autonomous vehicles with precise information on position, velocity, and attitude. core idea SINS/DVL using Kalman filter to establish state observation equations estimate SINS error DVL velocity. optimal estimation correction strategies are critical accuracy navigation. To address this, this paper proposes a hybrid method based...

Abstract A novel high-order target phase approach (TPhA) for the station-keeping of periodic orbits is proposed in this work. The key elements TPhA method, phase-angle Poincare map and maneuver map, are constructed using differential algebra (DA) techniques to determine epochs calculate correction maneuvers. stochastic optimization framework tailored TPhA-based process leveraged search fuel-optimal error-robust parameters. Quasi-satellite (QSOs) around Phobos investigated demonstrate...

Machine learning techniques have demonstrated their effectiveness in achieving autonomy and optimality for nonlinear high-dimensional dynamical systems. However, traditional black-box machine methods often lack formal stability guarantees, which are critical safety-sensitive aerospace applications. This paper proposes a comprehensive framework that combines control Lyapunov functions with supervised to provide certifiably stable, time- fuel-optimal guidance rendezvous maneuvers governed by...

Differential Dynamic Programming (DDP) is a trajectory optimization method, particularly resilient to poor initial guesses. However, its long run times compared other methods make it less suitable for embedded systems. In this work, we introduce polynomial-based DDP capable of enforcing constraints while optimizing fuel efficiency. Additionally, Newton solver implemented enforce with high precision. The proposed solver, Algebra-based programming (DADDy), validated and tested on various...

This paper presents a method to determine the reachable set (RS) of spacecraft after single velocity impulse with an arbitrary direction, which is appropriate for RS in both state and observation spaces under dynamics, extending applications current methods from two-body dynamics. First, single-impulse model generalized as family two-variable parameterized polynomials differential algebra scheme. Then, using envelope theory, boundary identified by solving equation. A framework proposed...

To limit the spread of space debris, situational awareness (SSA) delineates guidelines to preserve current assets. Developing effective collision avoidance maneuver (CAM) strategies is emerging as a global top priority among considered countermeasures debris-generating events. Despite most encounters happening over very short time frames, some conjunctions occur longer window, such in geostationary Earth orbit (GEO), where involved objects may have small relative velocities. Besides,...

This work presents robust and numerically efficient algorithms for designing low-thrust collision avoidance maneuvers in short-term encounters. The conjunction dynamics are developed a tridimensional space then projected onto the B-plane, centered at secondary object. Energy- fuel-optimal computed by constraining probability or miss distance. A fully analytical approach is derived energy-optimal maneuvers, providing good guess problem. proposed methods validated terms of efficiency...

Satellite missions demand ever greater connectivity, especially in the LEO regime. In this paper, we introduce new mega-constellation services space paradigm: show that mega-constellations, deployed to offer innovative Earth's users, can provide excellent connectivity spacecrafts, too. First, characterise communication link between users and actual OneWeb Starlink constellations. A full set of results terms availability, access duration, Doppler, path losses as a function user orbital...