Comet and moon solutions in the time-dependent restricted $(n+1)$-body problem

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Barrera, Carlos, Bengochea, Abimael, García-Azpeitia, Carlos
Natura:	Preprint
Pubblicazione:	2020
Soggetti:	Dynamical Systems
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Periodic orbits near collision in a restricted four-body problem for the eight choreography
di: Bengochea, Abimael, et al.
Pubblicazione: (2024)

Symmetric periodic solutions in the generalized Sitnikov Problem with homotopy methods
di: Barrera-Anzaldo, Carlos, et al.
Pubblicazione: (2024)

Regularizable collinear periodic solutions in the $n$-body problem with arbitrary masses
di: Yu, Guowei
Pubblicazione: (2022)

Computer-Assisted Proofs of Gap Solitons in Bose-Einstein Condensates
di: Ayala, Miguel, et al.
Pubblicazione: (2025)

Branches and bifurcations of ejection-collision orbits in the planar circular restricted three body problem
di: Arioli, Gianni, et al.
Pubblicazione: (2024)

Partially rigid motions in the n-body problem
di: Moeckel, Richard
Pubblicazione: (2024)

Linear stability of inner case of double averaged spatial restricted elliptic three body problem
di: Huang, Xiumin, et al.
Pubblicazione: (2023)

Computational symplectic topology and symmetric orbits in the restricted three-body problem
di: Joung, Chankyu, et al.
Pubblicazione: (2024)

Symmetric solutions of the $n$-body problem: a numerical study of Floquet multipliers and Morse indices
di: Berti, Diego, et al.
Pubblicazione: (2025)

Analysis of pitchfork bifurcations and symmetry breaking in the elliptic restricted three-body problem
di: Shu, Haozhe, et al.
Pubblicazione: (2025)

From the Lagrange Triangle to the Figure Eight Choreography: Proof of Marchal's Conjecture
di: Calleja, Renato, et al.
Pubblicazione: (2024)

Bifurcations of planar balanced configurations for the $n$-body problem in $\mathbb{R}^4$
di: Kormanna, Katharina, et al.
Pubblicazione: (2025)

Existence of stable periodic orbits in billiards close to lemon and moon billiards
di: Grigo, Alexander
Pubblicazione: (2026)

Consecutive collision orbits in the restricted three-body problem above the first critical energy value
di: Kang, Jungsoo, et al.
Pubblicazione: (2025)

Oscillatory motions, parabolic orbits and collision orbits in the planar circular restricted three-body problem
di: Guardia, Marcel, et al.
Pubblicazione: (2024)

Finite energy foliations and global dynamics in the restricted three-body problem
di: Liu, Lei, et al.
Pubblicazione: (2025)

Geometry of transit orbits in the periodically-perturbed restricted three-body problem
di: Fitzgerald, Joshua, et al.
Pubblicazione: (2022)

Stability analysis of spatial perturbed elliptic restricted 3-body problem with double-averaging
di: Luo, Yan, et al.
Pubblicazione: (2024)

Invariant manifolds of degenerate tori and double parabolic orbits to infinity in the (n+2)-body problem
di: Baldomá, Immaculada, et al.
Pubblicazione: (2024)

Chaotic phenomena in generic unfoldings of the Hamilton Hopf bifurcation with emphasis on the restricted planar circular 3-body problem beyond the Gascheau-Routh mass ratio
di: Baldomá, Inmaculada, et al.
Pubblicazione: (2025)

The problem of infinite Spin for parabolic and collision solutions in the planar $n$-body problem
di: Wang, Zhe, et al.
Pubblicazione: (2025)

Countable periodic solutions of the Lorentz force equation under a time-dependent current
di: Xie, Ka, et al.
Pubblicazione: (2026)

Weakly asymptotically quasiperiodic solutions for time-dependent Hamiltonians with a view to celestial mechanics
di: Scarcella, Donato
Pubblicazione: (2022)

On the variety of solutions of 1-dimensional nonlinear eigenvalue problems
di: Bandle, Catherine, et al.
Pubblicazione: (2025)

Partially hyperbolic dynamics in the 3-body problem
di: Guardia, Marcel, et al.
Pubblicazione: (2025)

Orbits of the three-body problem with large potential
di: Moeckel, Richard
Pubblicazione: (2026)

Stability of equilibrium points in modified elliptic restricted three-body problem with various perturbation sources
di: Saputra, M. B., et al.
Pubblicazione: (2026)

Chaotic dynamics for the two body problem on a sphere
di: Bolotin, Sergey
Pubblicazione: (2025)

Randomized time stepping of nonlinearly parametrized solutions of evolution problems
di: Dong, Yijun, et al.
Pubblicazione: (2025)

No infinite spin for total collisions in the spatial N-body problem
di: Pinzari, Gabriella, et al.
Pubblicazione: (2026)

Oscillatory collision approach in the Earth-Moon restricted three body problem
di: Capiński, Maciej J., et al.
Pubblicazione: (2024)

Erdős' problem and $(n, \frac{1}{3})$-separated sets
di: Shi, Enhui, et al.
Pubblicazione: (2024)

Sun-Jupiter-Saturn System may exist: A verified computation of quasiperiodic solutions for the planar three body problem
di: Figueras, Jordi-Lluís, et al.
Pubblicazione: (2024)

Crisis in time-dependent dynamical systems
di: Olmi, Simona, et al.
Pubblicazione: (2025)

Really perverse periodic solutions of the planar N-body problem
di: Bang, Dominique, et al.
Pubblicazione: (2025)

A dynamical view of Tijdeman's solution of the chairman assignment problem
di: Berthé, Valérie, et al.
Pubblicazione: (2024)

Dynamics of an isosceles problem generated by a perturbation of Euler's collinear solution
di: Santos, Karine
Pubblicazione: (2025)

Arnold diffusion in the elliptic Hill four-body problem: geometric method and numerical verification
di: Burgos, Jaime, et al.
Pubblicazione: (2025)

Multipliers for forced Lurye systems with slope-restricted nonlinearities
di: Heath, William Paul, et al.
Pubblicazione: (2025)

Some real Rel trajectories in $\mathcal{H}(1,1)$ that are not recurrent
di: Ospina, Carlos
Pubblicazione: (2024)

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
language	"it"
VUFIND_SESSION	"1d16ceba674c80608318600c09208297"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790977189.5844 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "1d16ceba674c80608318600c09208297" ]`]
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	"language=it; VUFIND_SESSION=1d16ceba674c80608318600c09208297; 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	"216.73.217.142"
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	"15291"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2001_03702/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2001_03702/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790977189.5654
REQUEST_TIME	1790977189

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler