Nonlinear backstepping with saturation for low-thrust station-keeping of libration point orbits

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Nunes, António, Brás, Sérgio, Batista, Pedro
Format:	Preprint
Published:	2026
Subjects:	Systems and Control Earth and Planetary Astrophysics Instrumentation and Methods for Astrophysics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Autonomous Rapid Exploration in Close-Proximity of an Asteroid
by: Negri, Rodolfo Batista, et al.
Published: (2022)

Design of a low-thrust gravity-assisted rendezvous trajectory to Halley's comet
by: Flores, Roberto, et al.
Published: (2025)

Designing trajectories in the Earth-Moon system: a Levenberg-Marquardt approach
by: Nunes, António, et al.
Published: (2025)

Star-based Navigation in the Outer Solar System
by: Franzese, Vittorio
Published: (2026)

Low-Thrust Trajectory Optimization for Cubesat Lunar Mission: HORYU-VI
by: Iskender, Omer Burak, et al.
Published: (2026)

Inflatable devices for planetary aerocapture and aerobraking manoeuvres
by: Reynier, Philippe
Published: (2026)

Compensating Star-Trackers Misalignments with Adaptive Multi-Model Estimation
by: Ganganath, Ridma, et al.
Published: (2026)

Seasonal Performance Evaluation of a Hybrid PV-Wind-Battery Power System for a Mars Base
by: Darya, Abdollah Masoud, et al.
Published: (2024)

Attitude Determination and Control of GPS Satellites: Stabilization, Orbital Insertion, and Operational Control Mechanisms
by: Samir, Oliullah
Published: (2025)

Sequential Convex Programming for Multimode Spacecraft Trajectory Optimization
by: Yarndley, Jack
Published: (2025)

Comparison of uncertainty propagation techniques in small-body environment
by: Michelotti, Niccolò, et al.
Published: (2024)

Low-Thrust Many-Revolution Trajectory Design Under Operational Uncertainties for DESTINY+ Mission
by: Ozaki, Naoya, et al.
Published: (2025)

Autonomous Mars Rover Module for Soil Sampling and Life Component Analysis
by: Adhikari, Bibek, et al.
Published: (2026)

Advanced System Engineering Approaches to Emerging Challenges in Planetary and Deep-Space Exploration
by: de Curtò, J., et al.
Published: (2025)

Venting and Outgassing Simulations of Pressurized Lunar Modules: Contamination of the Lunar Environment
by: Boccelli, Stefano, et al.
Published: (2026)

Comparing Behavioural Cloning and Reinforcement Learning for Spacecraft Guidance and Control Networks
by: Holt, Harry, et al.
Published: (2025)

Efficient trajectory design for distant planetary orbiters
by: Scala, Francesca, et al.
Published: (2024)

Three Warm Jupiters orbiting TOI-6628, TOI-3837, TOI-5027 and one sub-Saturn orbiting TOI-2328
by: Pinto, Marcelo Tala, et al.
Published: (2024)

Feasibility of meteor surveying from a Venus orbiter
by: Christou, Apostolos A., et al.
Published: (2024)

Using fireball networks to track more frequent reentries: Falcon 9 upper stage orbit determination from video recordings
by: Peña-Asensio, Eloy, et al.
Published: (2021)

PLATOSpec's first results: planets WASP-35b and TOI-622b are on aligned orbits, and K2-237b is on a polar orbit
by: Zak, J., et al.
Published: (2025)

Self-supervised diffusion model fine-tuning for costate initialization using Markov chain Monte Carlo
by: Graebner, Jannik, et al.
Published: (2025)

Numerical behavior of the Keplerian Integral methods for initial orbit determination
by: Rodríguez, Óscar, et al.
Published: (2024)

Near Earth stream decoherence revisited: the limits of orbital similarity
by: Shober, Patrick M., et al.
Published: (2024)

Direct detectability of tidally heated exomoons by photometric orbital modulation
by: Kleisioti, E., et al.
Published: (2024)

Tangent Velocity constraint for orbital maneuvers with Theory of Functional Connections
by: Almeida Jr., A. K. de, et al.
Published: (2024)

EMPEROR I. Exoplanet MCMC parallel tempering for RV orbit retrieval
by: Peña, Pablo A., et al.
Published: (2025)

Higher-Order Gravitational Models: A Tutorial on Spherical Harmonics and the Newtonian Model
by: Arenas-Uribe, Felipe
Published: (2026)

Planetary Exploration 3.0: A Roadmap for Software-Defined, Radically Adaptive Space Systems
by: Ono, Masahiro, et al.
Published: (2026)

ExoNAMD: Leveraging the spin-orbit angle to constrain the dynamics of multiplanetary systems
by: Bocchieri, A., et al.
Published: (2025)

OrbDot: A Python package for studying the secular evolution of exoplanet orbits
by: Hagey, Simone R., et al.
Published: (2025)

Classifying and characterizing the evolution of minimum orbit intersection distance for near-Earth asteroids
by: Hu, Shoucun, et al.
Published: (2025)

Searching for GEMS: The Occurrence of Giant Planets orbiting M-dwarfs within 100 pc
by: Glusman, Rowen I., et al.
Published: (2025)

Optimal Multi-Mode Propulsion Mission Design Using Direct Collocation
by: Haman III, George V., et al.
Published: (2025)

End-to-End Lyapunov-Based Eclipse-Feasible Low-Thrust Transfer Trajectories to NRHO
by: Nurre, Nicholas P., et al.
Published: (2024)

Low-Thrust Many-Revolution Transfer between Near Rectilinear Halo Orbit and Low Lunar Orbit Using Hybrid Differential Dynamic Programming
by: Oue, Kohei, et al.
Published: (2025)

A practical re-weighting scheme of data fitting: application to asteroids orbit determination with Gaia
by: Vavilov, Dmitri. E., et al.
Published: (2026)

Astrometry, orbit determination, and thermal inertia of the Tianwen-2 target asteroid (469219) Kamo`oalewa
by: Fenucci, Marco, et al.
Published: (2025)

Connecting Earth and Moon via the L1 Lagrangian point
by: Almeida Jr, A. K. de, et al.
Published: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"275003efc808c0729949ddf1752a3e5b"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790584218.1713 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "275003efc808c0729949ddf1752a3e5b" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=275003efc808c0729949ddf1752a3e5b; language=en; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"5020"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2604_15028/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2604_15028/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790584218.1588
REQUEST_TIME	1790584218

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"275003efc808c0729949ddf1752a3e5b"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790584218.1713 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "275003efc808c0729949ddf1752a3e5b" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=275003efc808c0729949ddf1752a3e5b; language=en; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"5020"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2604_15028/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2604_15028/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790584218.1588
REQUEST_TIME	1790584218

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: