Results 41 to 50 of about 11,457,962 (286)

Runge-Kutta-Nyström Pairs of Orders 8(6) with Coefficients Trained to Perform Best on Classical Orbits

Mathematics, 2022
In this study, we consider eight stages per step family of explicit Runge-Kutta-Nyström pairs of orders eight and six. The pairs from this family effectively use eight stages for each step.
Houssem Jerbi, Mohamed Omri, Mourad Kchaou, Theodore E. Simos, Charalampos Tsitouras   +4 more
doaj   +1 more source

The O(1)-Kepler problems [PDF]

Journal of Mathematical Physics, 2008
Let n≥2 be an integer. To each irreducible representation σ of O(1), an O(1)-Kepler problem in dimension n is constructed and analyzed. This system is super integrable and when n=2 it is equivalent to a generalized MICZ (McIntosh-Cisneros-Zwanziger)-Kepler problem in dimension 2. The dynamical symmetry group of this system is Sp˜(2n,R) with the Hilbert
openaire   +6 more sources

The MICZ-Kepler Problems in All Dimensions [PDF]

, 2007
The Kepler problem is a physical problem about two bodies which attract each other by a force proportional to the inverse square of the distance. The MICZ-Kepler problems are its natural cousins and have been previously generalized from dimension three ...
Cohen-Tannoudji C., Cordani B., Georgi H., Guowu Meng   +3 more
core   +1 more source

Periodic solutions to a forced Kepler problem in the plane [PDF]

Proceedings of the American Mathematical Society, 2019
Given a smooth function U ( t , x ) U(t,x) , T T -periodic in the first variable and satisfying U ( t , x ...
A. Boscaggin, W. Dambrosio, D. Papini
semanticscholar   +1 more source

The 2+1 Kepler Problem and Its Quantization [PDF]

, 2001
We study a system of two pointlike particles coupled to three dimensional Einstein gravity. The reduced phase space can be considered as a deformed version of the phase space of two special-relativistic point particles in the centre of mass frame.
't Hooft G, 't Hooft G, Bellini A, Cantini L, Deser S, Erdélyi A, Giulini D, Hans-Jürgen Matschull, Holst S, Holst S, Isham C J, Jorma Louko, Lerda A, Louko J, Louko J, Matschull H J, Matschull H J, Matschull H J, Matschull H J, Matschull H J, Matschull H J, Matschull H J, Menotti P, Misner C W, Staruszkiewicz A, Steif A R, Welling M, Welling M, Welling M, Welling M, Welling M, Welling M, Woodhouse N M J   +32 more
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On the Path Integral in Imaginary Lobachevsky Space [PDF]

, 1993
The path integral on the single-sheeted hyperboloid, i.e.\ in $D$-dimensional imaginary Lobachevsky space, is evaluated. A potential problem which we call ``Kepler-problem'', and the case of a constant magnetic field are also discussed.Comment: 16 pages,
Amati D, Anderson A, Barut A O, Barut A O, C Grosche, Crandall R E, Crandall R E, De R, Dutt R, Erdélyi A, Erdélyi A, Gel'fand I M, Gel'fand I M, Gradshteyn I S, Green M B, Grosche C, Grosche C, Grosche C, Grosche C, Grosche C, Grosche C, Grosche C, Grosche C, Grosche C, Grosche C, Inomata A, Inomata A, Inomata A, Kalnins E G, Landau L D, Pertsch D, Vilenkin N Ya   +31 more
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NASA DART mission: A preliminary mathematical dynamical model and its nonlinear circuit emulation

Nonlinear Engineering, 2023
On September 22, 2022, a spacecraft, designed by the Double Asteroid Redirection Test (DART) team, successfully attempted to deflect the orbit of the asteroid Dimorphos, which together with Didymos, constitutes a binary system of near-Earth asteroids ...
Buscarino Arturo, Famoso Carlo, Fortuna Luigi, La Spina Giuseppe   +3 more
doaj   +1 more source

The Universal Kepler Problem [PDF]

, 2014
8 ...
openaire   +5 more sources

Periodic Orbits of Quantised Restricted Three-Body Problem

Universe, 2023
In this paper, perturbed third-body motion is considered under quantum corrections to analyse the existence of periodic orbits. These orbits are studied through two approaches to identify the first (second) periodic-orbit types.
Elbaz I. Abouelmagd, Juan Luis García Guirao, Jaume Llibre   +2 more
doaj   +1 more source

Asteroseismic determination of obliquities of the exoplanet systems Kepler-50 and Kepler-65 [PDF]

, 2013
Results on the obliquity of exoplanet host stars -- the angle between the stellar spin axis and the planetary orbital axis -- provide important diagnostic information for theories describing planetary formation.
Barclay, T., Basu, S., Bedding, T. R., Buchhave, L. A., Campante, T. L., Chaplin, W. J., Christensen-Dalsgaard, J., Cochran, W. D., Davies, G. R., Elsworth, Y., Fischer, D. A., Gilliland, R. L., Handberg, R., Hekker, S., Huber, D., Isaacson, H., Karoff, C., Kawaler, S. D., Kjeldsen, H., Latham, D. W., Lissauer, J. J., Lund, M. N., Lundkvist, M., Marcy, G. W., Metcalfe, T. S., Miglio, A., Sanchis-Ojeda, R., Stello, D., Winn, J. N.   +28 more
core   +3 more sources