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Pradhan, Ritapriya; Bhattacharya, Tanushree; Bhattacharjee, Jayanta K.

A perturbation theory for the shape of central force orbits. (English) Zbl 07918867

Lacarbonara, Walter (ed.), Advances in nonlinear dynamics. Proceedings of the third international nonlinear dynamics conference, NODYCON 2023, Rome, Italy, June 18–22, 2023. Volume I. Cham: Springer. NODYCON Conf. Proc. Ser., 147-158 (2024).

MSC: 76-XX

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Boscaggin, Alberto; Dambrosio, Walter; Feltrin, Guglielmo

Periodic perturbations of central force problems and an application to a restricted 3-body problem. (English. French summary) Zbl 07860061

J. Math. Pures Appl. (9) 186, 31-73 (2024).

MSC: 70-XX 34C25 70H08 70H12 70F07

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Shemilt, James D.; Horsley, Alexander; Jensen, Oliver E.; Thompson, Alice B.; Whitfield, Carl A.

Surfactant amplifies yield-stress effects in the capillary instability of a film coating a tube. (English) Zbl 1535.76047

J. Fluid Mech. 971, Paper No. A24, 37 p. (2023).

MSC: 76E17 76A20 76A05 76D45 76Z05 76M20 92C35

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Barrera-Anzaldo, Carlos

Uniform bifurcation of comet-type periodic orbits in the restricted \((n + 1)\)-body problem with non-Newtonian homogeneous potential. (English) Zbl 1526.70011

J. Differ. Equations 360, 572-598 (2023).

Reviewer: Predrag Punosevac (Pittsburgh)

MSC: 70F10 70H12 70K50

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Zhbanov, Yu. K.; Privalov, E. A.

Rod suspension of inertial mass for pendulum-type SINS. (English. Russian original) Zbl 1536.74087

Mech. Solids 57, No. 5, 1054-1058 (2022); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2022, No. 5, 114-119 (2022).

MSC: 74H45 74K10 70E55 70M20

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Banshchikov, Andrei V.

Application of symbolic-numerical modeling tools for analysis of gyroscopic stabilization of gyrostat equilibria. (English) Zbl 1521.70002

Boulier, François (ed.) et al., Computer algebra in scientific computing. 24th international workshop, CASC 2022, Gebze, Turkey, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13366, 51-61 (2022).

MSC: 70-08 70E05 70E50 70M20 68W30

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Reed, B. Cameron

An attractive/repulsive central-force orbit for student exercises. (English) Zbl 1527.70009

Eur. J. Phys. 42, No. 4, Article ID 045007, 7 p. (2021).

MSC: 70F05 70-01

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Oktarisa, Yuvita; Karam, Ricardo

From a central force to Kepler’s area law: student difficulties and preferences with two derivations. (English) Zbl 1526.70008

Eur. J. Phys. 42, No. 1, Article ID 015706, 22 p. (2021).

MSC: 70F05 70-01

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Vineeth, V. K.; Patel, D. K.

Comparative analysis of the characteristics of the vortex wake behind a flapping wing performing oscillations of different types. (English) Zbl 1501.76100

Fluid Dyn. 56, Suppl. 1, S101-S125 (2021).

MSC: 76Z10 76D25 76D17 76M20

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Gao, Yuan; Yang, Liuming; Yu, Yang; Hou, Guoxiang; Hou, Zhongbao

Consistent forcing scheme in the simplified lattice Boltzmann method for incompressible flows. (English) Zbl 1485.76066

Commun. Comput. Phys. 30, No. 5, 1427-1452 (2021).

MSC: 76M28 76M20 76D05

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López, Rafael; Perdomo, Óscar

Constant-speed ramps for a central force field. (English) Zbl 1483.70015

Discrete Contin. Dyn. Syst. 41, No. 7, 3447-3464 (2021).

MSC: 70E18 53A17

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Deng, Kongshu; Ding, Yicheng; Yin, Zhurong; Zeng, Lu; Wu, Hailaing; Qian, Dilei

Force transmission characteristics in a multiple-fulcrum supporting platform with heavy loads. (English) Zbl 1491.70004

Math. Biosci. Eng. 17, No. 4, 3329-3355 (2020).

MSC: 70B15

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Deng, Yanxia; Ibrahim, Slim

Global existence and singularity of the \(N\)-body problem with strong force. (English) Zbl 1448.70025

Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 49, 38 p. (2020).

MSC: 70F10 37N05

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Sadovnikova, E. V.; Shatina, A. V.

Spin-orbital resonance motion of a satellite with two flexible viscoelastic rods in an elliptical orbit. (English. Russian original) Zbl 1479.70075

Mech. Solids 54, No. 2, 204-210 (2019); translation from Prikl. Mat. Mekh. 83, No. 1, 32-38 (2019).

MSC: 70M20

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Bambusi, Dario; Fusè, Alessandra; Sansottera, Marco

Exponential stability in the perturbed central force problem. (English) Zbl 1411.70031

Regul. Chaotic Dyn. 23, No. 7-8, 821-841 (2018).

MSC: 70K45 34C20 37G05 70F15

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Rojas, D.

The monotonicity of the apsidal angle using the theory of potential oscillators. (English) Zbl 1402.70010

Qual. Theory Dyn. Syst. 17, No. 3, 631-635 (2018).

MSC: 70F05 70F15 34C25

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Mingarelli, Angelo B.

On generalized and fractional derivatives and their applications to classical mechanics. (English) Zbl 1400.26015

J. Phys. A, Math. Theor. 51, No. 36, Article ID 365204, 18 p. (2018).

MSC: 26A33 26A24 34B24 34L40 70F10

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Chelem Mayigué, Charles; Groll, Rodion

Numerical simulation of argon fuelled self-field magnetoplasmadynamic thrusters using the central-upwind scheme flux interpolations. (English) Zbl 1408.76571

Eur. J. Mech., B, Fluids 72, 645-663 (2018).

MSC: 76W05 76X05 76M12

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Falagkaris, E. J.; Ingram, D. M.; Viola, I. M.; Markakis, K.

PROTEUS: a coupled iterative force-correction immersed-boundary multi-domain cascaded lattice Boltzmann solver. (English) Zbl 1397.65215

Comput. Math. Appl. 74, No. 10, 2348-2368 (2017).

MSC: 65M75 65Y15 76M28 76D05

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German, A. D.; Gutnik, S. A.; Sarychev, V. A.

Satellite dynamics due to gravity and constant torques. (English. Russian original) Zbl 1384.93016

J. Comput. Syst. Sci. Int. 56, No. 1, 125-136 (2017); translation from Kibern. Sist. Anal. 2017, No. 1, 128-140 (2017).

MSC: 93A30 70P05 93C15 93C95

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Siddique, Nazmul H.; Adeli, Hojjat

Nature-inspired computing: physics and chemistry-based algorithms. (English) Zbl 1373.68012

Boca Raton, FL: CRC Press (ISBN 978-1-4822-4482-3/hbk; 978-1-4822-4483-0/ebook). xxv, 596 p. (2017).

Reviewer: Smaranda Belciug (Craiova)

MSC: 68-02 68Q05 68T20 68Wxx 90C59

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McLachlan, Robert I.; Modin, Klas; Verdier, Olivier

Symmetry reduction for central force problems. (English) Zbl 1393.70015

Eur. J. Phys. 37, No. 5, Article ID 055003 21 p. (2016).

MSC: 70E05 70H05

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Fedoseev, D. A.; Zagryadskii, O. A.

The global and local realizability of Bertrand Riemannian manifolds as surfaces of revolution. (English. Russian original) Zbl 1335.53005

Mosc. Univ. Math. Bull. 70, No. 3, 119-124 (2015); translation from Vestn. Mosk. Univ., Ser. I 70, No. 3, 18-24 (2015).

MSC: 53A05 53B30

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Hirsch, Christian; Gaiselmann, Gerd; Schmidt, Volker

Asymptotic properties of collective-rearrangement algorithms. (English) Zbl 1348.60028

ESAIM, Probab. Stat. 19, 236-250 (2015).

MSC: 60F05 60K35 60G55 60G10 65C35 60D05 82C22

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Guicciardini, Niccolò

Proofs and contexts: the debate between Bernoulli and Newton on the mathematics of central force motion. (English) Zbl 1335.01016

Rowe, David E. (ed.) et al., A delicate balance: global perspectives on innovation and tradition in the history of mathematics. A Festschrift in honor of Joseph W. Dauben. Cham: Birkhäuser/Springer (ISBN 978-3-319-12029-4/hbk; 978-3-319-36594-7/pbk; 978-3-319-12030-0/ebook). Trends in the History of Science, 67-102 (2015).

Reviewer: Thomas Sonar (Braunschweig)

MSC: 01A50 01A45

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Hanßmann, Heinz

Perturbations of superintegrable systems. (English) Zbl 1314.37045

Acta Appl. Math. 137, No. 1, 79-95 (2015).

MSC: 37J40

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Castelli, Roberto

The monotonicity of the apsidal angle in power-law potential systems. (English) Zbl 1391.70037

J. Math. Anal. Appl. 428, No. 1, 653-676 (2015).

MSC: 70F15

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Liu, Jie; Wang, Yuping

An improved central force optimization based on simplex method. (Chinese. English summary) Zbl 1324.68178

J. Zhejiang Univ., Eng. Sci. 48, No. 12, 2115-2122 (2014).

MSC: 68T20 90C26 90C59

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Ding, Weiping; Wang, Jiandong; Chen, Senbo; Cheng, Xueyun; Shen, Xuehua

Rough attribute reduction with cross-entropy based on an improved shuffled frog-leaping algorithm. (Chinese. English summary) Zbl 1313.68227

J. Nanjing Univ., Nat. Sci. 50, No. 2, 159-166 (2014).

MSC: 68T37 68T20 90C59

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Benacka, Jan

On planetary motion – a way to solve the problem and a spreadsheet simulation. (English) Zbl 1302.70022

Eur. J. Phys. 35, No. 4, Article ID 045016, 13 p. (2014).

MSC: 70F05 70F15

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Davydov, Denis; Steinmann, Paul

Reviewing the roots of continuum formulations in molecular systems, I: Particle dynamics, statistical physics, mass and linear momentum balance equations. (English) Zbl 1356.74008

Math. Mech. Solids 19, No. 4, 411-433 (2014).

MSC: 74A25 82B21

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Chien, Mao-Ting; Nakazato, Hiroshi

Numerical range of a nilpotent matrix and related central force. (English) Zbl 1315.15023

Linear Multilinear Algebra 62, No. 5, 595-613 (2014).

Reviewer: Wai-Shun Cheung (Hong Kong)

MSC: 15A60 70K40 14Q05 15A18

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Meng, Chao; Liu, Sanmin; Sun, Zhixin

A convergence proof for a central force optimization algorithm and application in neural networks. (Chinese. English summary) Zbl 1299.90416

J. Softw. 24, No. 10, 2354-2365 (2013).

MSC: 90C59 90C26 68T20 92B20 68T05

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Alvarez-Ramírez, Martha; Santos, Alan Almeida; Vidal, Claudio

On co-circular central configurations in the four and five body-problems for homogeneous force law. (English) Zbl 1337.70025

J. Dyn. Differ. Equations 25, No. 2, 269-290 (2013).

MSC: 70F10 70G10

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Belbruno, Edward

On the regularizability of the big bang singularity. (English) Zbl 1266.85006

Celest. Mech. Dyn. Astron. 115, No. 1, 21-34 (2013).

MSC: 85A40 70F16

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Torres, Pedro J.; Ureña, Antonio J.; Zamora, Manuel

Periodic and quasi-periodic motions of a relativistic particle under a central force field. (English) Zbl 1269.34049

Bull. Lond. Math. Soc. 45, No. 1, 140-152 (2013).

Reviewer: Ivan Ginchev (Chicago)

MSC: 34C25 83A05 34C27 34B16

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Kumar, Himanshu; Alam, Sharf; Ahmad, Suhail

Surface tension with normal curvature in curved space-time. (English) Zbl 1260.83020

Gen. Relativ. Gravitation 45, No. 1, 125-142 (2013).

MSC: 83C15 83C05 83C55

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Ding, Dongsheng; Qi, Donglian; Luo, Xiaoping; Chen, Jinfei; Wang, Xuejie; Du, Pengyin

Convergence analysis and performance of an extended central force optimization algorithm. (English) Zbl 1291.90184

Appl. Math. Comput. 219, No. 4, 2246-2259 (2012).

MSC: 90C26 90C59

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Abolghasem, Hossein

Jacobi stability of circular orbits in a central force. (English) Zbl 1277.70006

J. Dyn. Syst. Geom. Theor. 10, No. 2, 197-214 (2012).

MSC: 70E17 70E50 37C10 37C20 34D20 34D30 34D35

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Chien, Mao-Ting; Nakazato, Hiroshi

Determinantal representations of closed orbits. (English) Zbl 1321.70008

Linear Algebra Appl. 437, No. 3, 992-1002 (2012).

MSC: 70F05 70H40 70F15

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Beck, József

Fourier analysis and the kinetic theory of gases. (English) Zbl 1285.82042

Mathematika 58, No. 1, 93-208 (2012).

MSC: 82C40 82D05 37A50 60F05

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Wang, Yuming; Lin, Jianzhong

The oblique collision efficiency of nanoparticles at different angles in Brownian coagulation. (English) Zbl 1219.82245

Comput. Math. Appl. 61, No. 8, 1917-1922 (2011).

MSC: 82D80 76T99

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Fonda, Alessandro; Ureña, Antonio J.

Periodic, subharmonic, and quasi-periodic oscillations under the action of a central force. (English) Zbl 1231.34073

Discrete Contin. Dyn. Syst. 29, No. 1, 169-192 (2011).

Reviewer: Luis Sanchez (Lisboa)

MSC: 34C25 34C27 34B15 34B16 47N20

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Degallier, Sarah; Ijspeert, Auke

Modeling discrete and rhythmic movements through motor primitives: a review. (English) Zbl 1266.92020

Biol. Cybern. 103, No. 4, 319-338 (2010).

MSC: 92C20 92B25 37N25 92C10

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Chien, Mao-Ting; Nakazato, Hiroshi

Numerical range for orbits under a central force. (English) Zbl 1245.15023

Math. Phys. Anal. Geom. 13, No. 4, 315-330 (2010).

Reviewer: Alexey Alimov (Moskva)

MSC: 15A60 70F05 14A05

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Cui, Zhihua; Zeng, Sanyou

Editorial to the special issue: New trends on swarm intelligent systems. (English) Zbl 1236.68202

J. Mult.-Val. Log. Soft Comput. 16, No. 6, 505-508 (2010).

MSC: 68T05 68T20 90C59

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Wang, Yuming; Lin, Jianzhong; Feng, Yu

The central oblique collision efficiency of spherical nanoparticles in the Brownian coagulation. (English) Zbl 1195.82111

Mod. Phys. Lett. B 24, No. 14, 1523-1531 (2010).

MSC: 82D80 82C22 60J05

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Ide, Hideyuki; Nakazato, Hiroshi

Kepler’s quartic curve is implemented by a central force. (English) Zbl 1191.70006

Int. Math. Forum 5, No. 1-4, 139-144 (2010).

MSC: 70F15 37N05 85-03

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Chandra, Suresh

Classical mechanics. A textbook. (English) Zbl 1233.70001

Oxford: Alpha Science International (ISBN 978-1-84265-552-8/hbk). x, 334 p. (2009).

MSC: 70-01 70Hxx 70Jxx 83-01 83A05

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Formato, Richard A.

Central force optimization: A new deterministic gradient-like optimization metaheuristic. (English) Zbl 1190.90289

Opsearch 46, No. 1, 25-51 (2009).

MSC: 90C59

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Claeyssen, Julio R.; Asenjo, Elba Bravo; Rubio, Obidio

A convective weakly viscoelastic rotating flow with pressure Neumann condition. (English) Zbl 1163.76002

Int. J. Numer. Methods Fluids 60, No. 3, 295-322 (2009).

MSC: 76A10 76U05 76R10 76R05 76M20 80A20

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Condurache, Daniel; Martinusi, Vladimir

Foucault pendulum-like problems: a tensorial approach. (English) Zbl 1203.70002

Int. J. Non-Linear Mech. 43, No. 8, 743-760 (2008).

MSC: 70B10

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Xu, Guochang

Orbits. (English) Zbl 1183.70001

Berlin: Springer (ISBN 978-3-540-78521-7/hbk; 978-3-540-78522-4/ebook). xvii, 229 p. (2008).

Reviewer: Nina A. Solovaya (Bratislava)

MSC: 70-02 70M20 70F15

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Zare, Kal

\(N\)-body problem in \(R^n\): necessary conditions for a constant configuration measure. (English) Zbl 1162.70012

Electron. J. Differ. Equ. 2008, Paper No. 156, 14 p. (2008).

MSC: 70F10

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Maruskin, Jared M.; Scheeres, Daniel J.; Adams, Fred C.; Bloch, Anthony M.

The eccentric frame decomposition of central force fields. (English) Zbl 1334.70023

Celest. Mech. Dyn. Astron. 100, No. 1, 43-62 (2008).

MSC: 70F05 70F15 70K42 85A15

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Comănescu, Dan

The angular momentum-energy space. (English) Zbl 1164.37024

An. Univ. Vest Timiș., Ser. Mat.-Inform. 45, No. 1, 159-169 (2007).

Reviewer: William J. Satzer (St. Paul)

MSC: 37N05 70K25 70K42

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Floría, Luis

Some remarks on the treatment of quasi-Keplerian systems. (English) Zbl 1296.70011

Docobo, José A. (ed.) et al., Actas de las VIII jornadas de mecánica celeste, Rianxo, Espagna, Junio 27–29, 2005. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza 28, 137-148 (2006).

MSC: 70F05

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Önder, Metin; Verçin, A.

Orbits of the \(n\)-dimensional Kepler–Coulomb problem and universality of the Kepler laws. (English) Zbl 1083.70009

Eur. J. Phys. 27, No. 1, 49-55 (2006).

MSC: 70F05

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Shirikyan, Armen

Law of large numbers and central limit theorem for randomly forced PDE’s. (English) Zbl 1099.35188

Probab. Theory Relat. Fields 134, No. 2, 215-247 (2006).

Reviewer: Aleksandr D. Borisenko (Kyïv)

MSC: 35R60 60F05 60H15 35Q30

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Chaĭkin, S. V.

Stability of nontrivial relative equilibria of a gyrostat with an elastic rod with a mass at the end. (Russian) Zbl 1487.70005

Mekh. Tverd. Tela 35, 189-198 (2005).

MSC: 70E05 70E50 70E55 70M20 74H99 74K10

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Furta, Stanislav; Zampieri, Gaetano

Cruising in a central force field. (English) Zbl 1062.37061

Port. Math. (N.S.) 61, No. 3, 259-280 (2004).

MSC: 37J60 70F25 70H06 70F05 70F15

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Kuksin, Sergei B.

Ergodic theorems for 2D statistical hydrodynamics. (English) Zbl 1030.37054

Rev. Math. Phys. 14, No. 6, 585-600 (2002).

Reviewer: Jens Rademacher (Minneapolis)

MSC: 37L40 35R60 35Q30 60H15 76D05 76M35

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Humi, Mayer; Carter, Thomas

Models of motion in a central force field with quadratic drag. (English) Zbl 1027.70021

Celest. Mech. Dyn. Astron. 84, No. 3, 245-262 (2002).

MSC: 70F99

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Anderson, N.; Arthurs, A. M.

On a Hamilton-Jacobi approach to the central orbit problem. (English) Zbl 1023.70008

Eur. J. Phys. 22, No. 5, 513-517 (2001).

Reviewer: Ll.G.Chambers (Bangor)

MSC: 70H20 70F05

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Tee, Garry J.

Brachistochrones for attractive logarithmic potential. (English) Zbl 1009.70013

N. Z. J. Math. 30, No. 2, 183-196 (2001).

MSC: 70F99

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Chakerian, Don

Central force laws, hodographs, and polar reciprocals. (English) Zbl 1023.70005

Math. Mag. 74, No. 1, 3-18 (2001).

Reviewer: N.A.Solovaya (Moskva)

MSC: 70F05

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Onn, Shing-Chung; Su, Ay; Wei, Chieng-Kuo; Sun, Chung-Chuan

Computational drag and Magnus force reduction for a transonic spinning projectile using passive porosity. (English) Zbl 1011.76061

Comput. Methods Appl. Mech. Eng. 190, No. 46-47, 6125-6139 (2001).

MSC: 76M20 76H05 76S05 76F10

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Pandit, Ashok S.

Mechanics. (English) Zbl 0965.70001

London: Narosa Publishing House. viii, 190 p. (2001).

Reviewer: Vasile Marinca (Timişoara)

MSC: 70-01

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Essén, Hanno

On the equilateral triangle solution to the three-body problem. (English) Zbl 0998.70008

Eur. J. Phys. 21, No. 6, 579-590 (2000).

MSC: 70F07 70F10

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Mahomed, F. M.; Vawda, F.

Application of symmetries to central force problems. (English) Zbl 0990.70008

Nonlinear Dyn. 21, No. 4, 307-315 (2000).

Reviewer: Willy Sarlet (Gent)

MSC: 70F05 70H33 70H06 70G65

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Borghero, F.; Bozis, G.; Melis, A.

Inverse and direct problem of the dynamics of central motions. (English) Zbl 0969.70012

Rend. Mat. Appl., VII. Ser. 19, No. 3, 303-316 (1999).

Reviewer: Jair Koiller (Rio de Janeiro)

MSC: 70F17

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Mondejar, F.; Vigueras, A.

The Hamiltonian dynamics of the two gyrostats problem. (English) Zbl 0965.70013

Celest. Mech. Dyn. Astron. 73, No. 1-4, 303-312 (1999).

Reviewer: Liu Yanzhu (Shanghai)

MSC: 70E05 70H05 70E50

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Kistler, Laura S.; Waas, Anthony M.

On the response of curved laminated panels subjected to transverse impact loads. (English) Zbl 0951.74043

Int. J. Solids Struct. 36, No. 9, 1311-1327 (1999).

MSC: 74M20 74K20 74E30

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Hardy, David J.; Okunbor, Daniel I.; Skeel, Robert D.

Symplectic variable step size integration for \(N\)-body problems. (English) Zbl 0927.70003

Appl. Numer. Math. 29, No. 1, 19-30 (1999).

MSC: 70-08 70F10 65L06

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Leboucher, L.

Monotone scheme and boundary conditions for finite volume simulation of magnetohydrodynamic internal flows at high Hartmann number. (English) Zbl 0935.76050

J. Comput. Phys. 150, No. 1, 181-198 (1999).

MSC: 76M12 76W05

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Doyle, P. W.

Characteristic solutions of scalar Newton equations in one space dimension. (English) Zbl 1342.70046

Int. J. Non-Linear Mech. 33, No. 6, 1013-1026 (1998).

MSC: 70H06 34A34 34A05

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Carter, Thomas E.

State transition matrices for terminal rendezvous studies: Brief survey and new example. (English) Zbl 0926.70031

J. Guid. Control Dyn. 21, No. 1, 148-155 (1998).

Reviewer: S.T.Chiriacescu (Braşov)

MSC: 70M20

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Gouliaev, V. I.; Zavrazhina, T. V.

Universal similarities of transition to chaos of satellite oscillation in elliptic orbit. (English) Zbl 0893.70016

Int. J. Non-Linear Mech. 33, No. 2, 215-226 (1998).

MSC: 70M20 70K50 37J40

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Chernyi, G. G.

Plane steady-state self-similar vortex flows of a perfect fluid (The Keplerian motions). (English. Russian original) Zbl 0926.76017

Phys.-Dokl. 42, No. 1, 52-55 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 3, 335-338 (1997).

Reviewer: F.Kaplanski (Tallinn)

MSC: 76B47

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Kurbatskii, Konstantin A.; Tam, Christopher K. W.

Cartesian boundary treatment of curved walls for high-order computational aeroacoustics schemes. (English) Zbl 0893.76056

AIAA J. 35, No. 1, 133-140 (1997).

MSC: 76M20 76Q05

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Bøgeskov, Tom

The cycloid as timekeeper. (Danish. English summary) Zbl 0888.70007

Normat 45, No. 1, 25-31 (1997).

MSC: 70F99 70-03

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Moukarzel, C.

An efficient algorithm for testing the generic rigidity of graphs in the plane. (English) Zbl 0902.60091

J. Phys. A, Math. Gen. 29, No. 24, 8079-8098 (1996).

MSC: 60K40 82B99

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Gonzalez, O.; Simo, J. C.

On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry. (English) Zbl 0900.70013

Comput. Methods Appl. Mech. Eng. 134, No. 3-4, 197-222 (1996).

MSC: 70-08 70H05 65L12

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OA License

Shoucri, Rachad M.

Note on Kepler’s problem with variable angular momentum. (English) Zbl 0888.70009

Celest. Mech. Dyn. Astron. 63, No. 2, 199-203 (1996).

MSC: 70F05

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Olszewski, S.

Equivalence of energy-time and momentum-position phase spaces of the solar system. (English) Zbl 0872.70007

Earth Moon Planets 74, No. 2, 151-173 (1996).

MSC: 70F15 70G10

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Sulikashvili, R. S.

Equilibrium states and steady motions of regular polyghedra in a Newtonian force field. (Russian) Zbl 0874.70007

Burchuladze, T. V. (ed.), Boundary value problems of mathematical physics. 3. Tbilisi: Metsniereba. Proc. A. Razmadze Math. Inst. 105, 81-89 (1995).

Reviewer: L.Sperling (Magdeburg)

MSC: 70E15 70K20

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Pfister, F.

A dynamical formalism for unrooted systems of rigid bodies. (English) Zbl 0864.70003

Acta Mech. 112, No. 1-4, 203-221 (1995).

Reviewer: Liu Yanzhu (Shanghai)

MSC: 70E15 70-08

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Stazi, Luigi

Some observations on central forces in special relativity. (Italian. English summary) Zbl 0839.53062

Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 6, No. 2, 111-115 (1995).

Reviewer: G.Pripoae (Bucureşti)

MSC: 53Z05 83A05

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Full Text: EuDML

Chajkin, S. V.

The positions of relative equilibrium in the circular orbit of an elastic artificial satellite and their stability. (English. Russian original) Zbl 0802.70019

J. Appl. Math. Mech. 56, No. 4, 518-526 (1992); translation from Prikl. Mat. Mekh. 56, No. 4, 615-623 (1992).

Reviewer: Á.Bosznay (Budapest)

MSC: 70M20 74K10 74H45

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Matzner, Richard A.; Shepley, Lawrence C.

Classical mechanics. (English) Zbl 0743.70005

Englewood Cliffs, NJ: Prentice Hall. ix, 245 p. (1991).

Reviewer: O.Titow (Berlin)

MSC: 70-01

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Antipov, Yu. A.; Arutyunyan, N. Kh.

Contact problems of the theory of elasticity with friction and adhesion. (English. Russian original) Zbl 0786.73068

J. Appl. Math. Mech. 55, No. 6, 887-901 (1991); translation from Prikl. Mat. Mekh. 55, No. 6, 1005-1017 (1991).

MSC: 74A55 74M15 74S30

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Athorne, C.

Kepler-Ermakov problems. (English) Zbl 0762.70008

J. Phys. A, Math. Gen. 24, No. 24, L1385-L1389 (1991).

MSC: 70F05 37J99

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Franco, J. M.

An analytic solution for Deprit’s radial intermediary with drag in the equatorial case. (English) Zbl 0743.70025

Bull. Astron. Inst. Czech. 42, No. 4, 219-224 (1991).

MSC: 70M20

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Zakrzhevskij, A. E.; Konotop, I. L.; Konstantinov, A. Kh.

Equations of motion of a solid with added elastic elements. (English. Russian original) Zbl 0752.73049

Sov. Appl. Mech. 27, No. 4, 395-399 (1991); translation from Prikl. Mekh., Kiev 27, No. 4, 74-79 (1991).

MSC: 74H45 70E99

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Gorringe, V. M.; Leach, P. G. L.

First integrals associated with the additional symmetry of central force problems with power law potentials. (English) Zbl 0736.34008

Quaest. Math. 14, No. 3, 277-289 (1991).

MSC: 34A25 34C20 70H33 70H20

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Sinai, Ya. G.

Two results concerning asymptotic behavior of solutions of the Burgers equation with force. (English) Zbl 0978.35500

J. Stat. Phys. 64, No. 1-2, 1-12 (1991).

MSC: 35Q53 35B40 82C31 60F05

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Arens, R.

Newton’s observations about the field of a uniform thin spherical shell. (English) Zbl 0761.70019

Note Mat. 10, No.Suppl. 1, 39-45 (1990).

MSC: 70F99 31A99 31B99

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Stallybrass, M. P.

An external crack problem: The ellipse revisited. (English) Zbl 0712.73073

Elasticity. Mathematical methods and applications, The Ian N. Sneddon 70th Birthday Vol., 357-374 (1990).

MSC: 74R99 74G70

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Selvadurai, A. P. S.

The unilateral contact between a rigid circular punch on a halfspace and a Mindlin force. (English) Zbl 0699.73076

Mech., Res. Commun. 17, No. 3, 181-187 (1990).

MSC: 74A55 74M15 74B99 74H99 74S30

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Nunes, Ana; Casasayas, Josefina

Genericity of the non-periodic solutions of the central force problem. (English) Zbl 0692.70015

Astrophys. Space Sci. 165, No. 1, 95-99 (1990).

MSC: 70F05 70C20 70H05

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Found 163 Documents (Results 1–100)

A perturbation theory for the shape of central force orbits. (English) Zbl 07918867

Periodic perturbations of central force problems and an application to a restricted 3-body problem. (English. French summary) Zbl 07860061

Surfactant amplifies yield-stress effects in the capillary instability of a film coating a tube. (English) Zbl 1535.76047

Uniform bifurcation of comet-type periodic orbits in the restricted \((n + 1)\)-body problem with non-Newtonian homogeneous potential. (English) Zbl 1526.70011

Rod suspension of inertial mass for pendulum-type SINS. (English. Russian original) Zbl 1536.74087

Application of symbolic-numerical modeling tools for analysis of gyroscopic stabilization of gyrostat equilibria. (English) Zbl 1521.70002

An attractive/repulsive central-force orbit for student exercises. (English) Zbl 1527.70009

From a central force to Kepler’s area law: student difficulties and preferences with two derivations. (English) Zbl 1526.70008

Comparative analysis of the characteristics of the vortex wake behind a flapping wing performing oscillations of different types. (English) Zbl 1501.76100

Consistent forcing scheme in the simplified lattice Boltzmann method for incompressible flows. (English) Zbl 1485.76066

Constant-speed ramps for a central force field. (English) Zbl 1483.70015

Force transmission characteristics in a multiple-fulcrum supporting platform with heavy loads. (English) Zbl 1491.70004

Global existence and singularity of the \(N\)-body problem with strong force. (English) Zbl 1448.70025

Spin-orbital resonance motion of a satellite with two flexible viscoelastic rods in an elliptical orbit. (English. Russian original) Zbl 1479.70075

Exponential stability in the perturbed central force problem. (English) Zbl 1411.70031

The monotonicity of the apsidal angle using the theory of potential oscillators. (English) Zbl 1402.70010

On generalized and fractional derivatives and their applications to classical mechanics. (English) Zbl 1400.26015

Numerical simulation of argon fuelled self-field magnetoplasmadynamic thrusters using the central-upwind scheme flux interpolations. (English) Zbl 1408.76571

PROTEUS: a coupled iterative force-correction immersed-boundary multi-domain cascaded lattice Boltzmann solver. (English) Zbl 1397.65215

Satellite dynamics due to gravity and constant torques. (English. Russian original) Zbl 1384.93016

Nature-inspired computing: physics and chemistry-based algorithms. (English) Zbl 1373.68012

Symmetry reduction for central force problems. (English) Zbl 1393.70015

The global and local realizability of Bertrand Riemannian manifolds as surfaces of revolution. (English. Russian original) Zbl 1335.53005

Asymptotic properties of collective-rearrangement algorithms. (English) Zbl 1348.60028

Proofs and contexts: the debate between Bernoulli and Newton on the mathematics of central force motion. (English) Zbl 1335.01016

Perturbations of superintegrable systems. (English) Zbl 1314.37045

The monotonicity of the apsidal angle in power-law potential systems. (English) Zbl 1391.70037

An improved central force optimization based on simplex method. (Chinese. English summary) Zbl 1324.68178

Rough attribute reduction with cross-entropy based on an improved shuffled frog-leaping algorithm. (Chinese. English summary) Zbl 1313.68227

On planetary motion – a way to solve the problem and a spreadsheet simulation. (English) Zbl 1302.70022

Reviewing the roots of continuum formulations in molecular systems, I: Particle dynamics, statistical physics, mass and linear momentum balance equations. (English) Zbl 1356.74008

Numerical range of a nilpotent matrix and related central force. (English) Zbl 1315.15023

A convergence proof for a central force optimization algorithm and application in neural networks. (Chinese. English summary) Zbl 1299.90416

On co-circular central configurations in the four and five body-problems for homogeneous force law. (English) Zbl 1337.70025

On the regularizability of the big bang singularity. (English) Zbl 1266.85006

Periodic and quasi-periodic motions of a relativistic particle under a central force field. (English) Zbl 1269.34049

Surface tension with normal curvature in curved space-time. (English) Zbl 1260.83020

Convergence analysis and performance of an extended central force optimization algorithm. (English) Zbl 1291.90184

Jacobi stability of circular orbits in a central force. (English) Zbl 1277.70006

Determinantal representations of closed orbits. (English) Zbl 1321.70008

Fourier analysis and the kinetic theory of gases. (English) Zbl 1285.82042

The oblique collision efficiency of nanoparticles at different angles in Brownian coagulation. (English) Zbl 1219.82245

Periodic, subharmonic, and quasi-periodic oscillations under the action of a central force. (English) Zbl 1231.34073

Modeling discrete and rhythmic movements through motor primitives: a review. (English) Zbl 1266.92020

Numerical range for orbits under a central force. (English) Zbl 1245.15023

Editorial to the special issue: New trends on swarm intelligent systems. (English) Zbl 1236.68202

The central oblique collision efficiency of spherical nanoparticles in the Brownian coagulation. (English) Zbl 1195.82111

Kepler’s quartic curve is implemented by a central force. (English) Zbl 1191.70006

Classical mechanics. A textbook. (English) Zbl 1233.70001

Central force optimization: A new deterministic gradient-like optimization metaheuristic. (English) Zbl 1190.90289

A convective weakly viscoelastic rotating flow with pressure Neumann condition. (English) Zbl 1163.76002

Foucault pendulum-like problems: a tensorial approach. (English) Zbl 1203.70002

Orbits. (English) Zbl 1183.70001

\(N\)-body problem in \(R^n\): necessary conditions for a constant configuration measure. (English) Zbl 1162.70012

The eccentric frame decomposition of central force fields. (English) Zbl 1334.70023

The angular momentum-energy space. (English) Zbl 1164.37024

Some remarks on the treatment of quasi-Keplerian systems. (English) Zbl 1296.70011

Orbits of the \(n\)-dimensional Kepler–Coulomb problem and universality of the Kepler laws. (English) Zbl 1083.70009

Law of large numbers and central limit theorem for randomly forced PDE’s. (English) Zbl 1099.35188

Stability of nontrivial relative equilibria of a gyrostat with an elastic rod with a mass at the end. (Russian) Zbl 1487.70005

Cruising in a central force field. (English) Zbl 1062.37061

Ergodic theorems for 2D statistical hydrodynamics. (English) Zbl 1030.37054

Models of motion in a central force field with quadratic drag. (English) Zbl 1027.70021

On a Hamilton-Jacobi approach to the central orbit problem. (English) Zbl 1023.70008

Brachistochrones for attractive logarithmic potential. (English) Zbl 1009.70013

Central force laws, hodographs, and polar reciprocals. (English) Zbl 1023.70005

Computational drag and Magnus force reduction for a transonic spinning projectile using passive porosity. (English) Zbl 1011.76061

Mechanics. (English) Zbl 0965.70001

On the equilateral triangle solution to the three-body problem. (English) Zbl 0998.70008

Application of symmetries to central force problems. (English) Zbl 0990.70008

Inverse and direct problem of the dynamics of central motions. (English) Zbl 0969.70012

The Hamiltonian dynamics of the two gyrostats problem. (English) Zbl 0965.70013

On the response of curved laminated panels subjected to transverse impact loads. (English) Zbl 0951.74043

Symplectic variable step size integration for \(N\)-body problems. (English) Zbl 0927.70003