57 results match your criteria Celestial Mechanics & Dynamical Astronomy[Journal]


On the Dynamics of the Inclination Instability.

Astron J 2018 Oct 6;156(4). Epub 2018 Sep 6.

JILA and Department of Astrophysical and Planetary Sciences, CU Boulder, Boulder, CO 80309, USA.

Axisymmetric disks of eccentric Kepler orbits are vulnerable to an instability that causes orbits to exponentially grow in inclination, decrease in eccentricity, and cluster in their angle of pericenter. Geometrically, the disk expands to a cone shape that is asymmetric about the mid-plane. In this paper, we describe how secular gravitational torques between individual orbits drive this "inclination instability". Read More

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http://dx.doi.org/10.3847/1538-3881/aad95cDOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6677160PMC
October 2018
5 Reads

Asymptotic velocity for four celestial bodies.

Authors:
Andreas Knauf

Philos Trans A Math Phys Eng Sci 2018 Sep 17;376(2131). Epub 2018 Sep 17.

Department of Mathematics, Friedrich-Alexander-University Erlangen-Nürnberg, Cauerstrasse 11, 91058 Erlangen, Germany

Asymptotic velocity is defined as the Cesàro limit of velocity. As such, its existence has been proved for bounded interaction potentials. This is known to be wrong in celestial mechanics with four or more bodies. Read More

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http://dx.doi.org/10.1098/rsta.2017.0426DOI Listing
September 2018
1 Read

First principles-based multiscale atomistic methods for input into first principles nonequilibrium transport across interfaces.

Proc Natl Acad Sci U S A 2019 09 3;116(37):18193-18201. Epub 2018 Aug 3.

Materials and Process Simulation Center, California Institute of Technology, Pasadena, CA 91125;

This issue of PNAS features "nonequilibrium transport and mixing across interfaces," with several papers describing the nonequilibrium coupling of transport at interfaces, including mesoscopic and macroscopic dynamics in fluids, plasma, and other materials over scales from microscale to celestial. Most such descriptions describe the materials in terms of the density and equations of state rather than specific atomic structures and chemical processes. It is at interfacial boundaries where such atomistic information is most relevant. Read More

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http://dx.doi.org/10.1073/pnas.1800035115DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6744898PMC
September 2019
10 Reads

'Let the stars shine in peace!' Niels Bohr and stellar energy, 1929-1934.

Authors:
Helge Kragh

Ann Sci 2017 Apr 11;74(2):126-148. Epub 2017 May 11.

a Niels Bohr Institute, Copenhagen University , Copenhagen , Denmark.

Faced with various anomalies related to nuclear physics in particular, in 1929 Niels Bohr suggested that energy might not be conserved in the atomic nucleus and the processes involving it. By this radical proposal he hoped not only to get rid of the anomalies but also saw a possibility to explain a puzzle in astrophysics, namely the energy generated by stars. Bohr repeated his suggestion of stellar energy arising ex nihilo on several occasions but without ever going into detail. Read More

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http://dx.doi.org/10.1080/00033790.2017.1318171DOI Listing
April 2017
3 Reads

A retrograde co-orbital asteroid of Jupiter.

Nature 2017 03;543(7647):687-689

Large Binocular Telescope Observatory, Tucson, Arizona 85721, USA.

Recent theoretical work in celestial mechanics has revealed that an asteroid may orbit stably in the same region as a planet, despite revolving around the Sun in the sense opposite to that of the planet itself. Asteroid 2015 BZ was discovered in 2015, but with too much uncertainty in its measured orbit to establish whether it was such a retrograde co-orbital body. Here we report observations and analysis that demonstrates that asteroid 2015 BZ is indeed a retrograde co-orbital asteroid of the planet Jupiter. Read More

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http://www.nature.com/articles/nature22029
Publisher Site
http://dx.doi.org/10.1038/nature22029DOI Listing
March 2017
3 Reads

Structural realism versus deployment realism: A comparative evaluation.

Authors:
Timothy D Lyons

Stud Hist Philos Sci 2016 10 22;59:95-105. Epub 2016 Jul 22.

Department of Philosophy, Indiana University-Purdue University Indianapolis, Cavanaugh Hall, 425 University Blvd., Indianapolis, IN 46202, USA. Electronic address:

In this paper I challenge and adjudicate between the two positions that have come to prominence in the scientific realism debate: deployment realism and structural realism. I discuss a set of cases from the history of celestial mechanics, including some of the most important successes in the history of science. To the surprise of the deployment realist, these are novel predictive successes toward which theoretical constituents that are now seen to be patently false were genuinely deployed. Read More

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http://dx.doi.org/10.1016/j.shpsa.2016.06.006DOI Listing
October 2016
12 Reads

Celestial mechanics: Fresh solutions to the four-body problem.

Nature 2016 05 4;533(7602):187-8. Epub 2016 May 4.

Department of Astronomy, University of Maryland, College Park, Maryland 20742-2421, USA.

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http://dx.doi.org/10.1038/nature17896DOI Listing
May 2016
3 Reads

The complete genome of a viable archaeum isolated from 123-million-year-old rock salt.

Environ Microbiol 2016 Feb 18;18(2):565-79. Epub 2016 Jan 18.

Department of Biosciences, Institute of Biotechnology, University of Helsinki, Helsinki, Finland.

Live microbes have been isolated from rock salt up to Permian age. Only obligatory cellular functions can be performed in halite-buried cells. Consequently, their genomic sequences are likely to remain virtually unchanged. Read More

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http://dx.doi.org/10.1111/1462-2920.13130DOI Listing
February 2016
28 Reads

Exact solution to the problem of N bodies forming a multi-layer rotating structure.

Authors:
Joseph J Smulsky

Springerplus 2015 17;4:361. Epub 2015 Jul 17.

Institute of Earth's Cryosphere, Malygina Str. 86, PO Box 1230, 625000 Tyumen, Russia.

Exact solutions to the problem of the Newtonian gravitational interaction of N material points moving around N 2 concentric circular orbits are considered. Each circular orbit contains N 3 axisymmetrically located bodies having identical masses. The structure as a whole rotates around its symmetry axis. Read More

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http://dx.doi.org/10.1186/s40064-015-1141-1DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4504874PMC
July 2015
2 Reads

An almost symmetric Strang splitting scheme for the construction of high order composition methods.

J Comput Appl Math 2014 Dec;271(100):307-318

Department of Mathematics, University of Innsbruck, Austria.

In this paper we consider splitting methods for nonlinear ordinary differential equations in which one of the (partial) flows that results from the splitting procedure cannot be computed exactly. Instead, we insert a well-chosen state [Formula: see text] into the corresponding nonlinearity [Formula: see text], which results in a linear term [Formula: see text] whose exact flow can be determined efficiently. Therefore, in the spirit of splitting methods, it is still possible for the numerical simulation to satisfy certain properties of the exact flow. Read More

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http://dx.doi.org/10.1016/j.cam.2014.04.015DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4144832PMC
December 2014
8 Reads

The three-body problem.

Rep Prog Phys 2014 Jun 10;77(6):065901. Epub 2014 Jun 10.

Department of Physics, The University of Texas at Arlington, Arlington, TX 76019, USA.

The three-body problem, which describes three masses interacting through Newtonian gravity without any restrictions imposed on the initial positions and velocities of these masses, has attracted the attention of many scientists for more than 300 years. In this paper, we present a review of the three-body problem in the context of both historical and modern developments. We describe the general and restricted (circular and elliptic) three-body problems, different analytical and numerical methods of finding solutions, methods for performing stability analysis and searching for periodic orbits and resonances. Read More

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http://dx.doi.org/10.1088/0034-4885/77/6/065901DOI Listing
June 2014
3 Reads

Stochastic approach to diffusion inside the chaotic layer of a resonance.

Phys Rev E Stat Nonlin Soft Matter Phys 2014 Jan 13;89(1):012911. Epub 2014 Jan 13.

Grupo de Caos en Sistemas Hamiltonianos, Facultad de Ciencias Astronómicas y Geofísicas, UNLP, Argentina and Instituto de Astrofísica de La Plata (CCT La Plata - CONICET, UNLP), Argentina.

We model chaotic diffusion in a symplectic four-dimensional (4D) map by using the result of a theorem that was developed for stochastically perturbed integrable Hamiltonian systems. We explicitly consider a map defined by a free rotator (FR) coupled to a standard map (SM). We focus on the diffusion process in the action I of the FR, obtaining a seminumerical method to compute the diffusion coefficient. Read More

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http://dx.doi.org/10.1103/PhysRevE.89.012911DOI Listing
January 2014
4 Reads

The hierarchical stability of the seven known large size ratio triple asteroids using the empirical stability parameters.

Astrophys Space Sci 2014;349(2):677-680. Epub 2013 Oct 26.

Carl Sagan Center, SETI Institute, 189 Bernardo Avenue, Mountain View, CA 94043 USA.

In this study, the hierarchical stability of the seven known large size ratio triple asteroids is investigated. The effect of the solar gravity and primary's are considered. The force function is expanded in terms of mass ratios based on the Hill's approximation and the large size ratio property. Read More

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http://dx.doi.org/10.1007/s10509-013-1663-3DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4372840PMC
October 2013
6 Reads

A possible approach on optical analogues of gravitational attractors.

Opt Express 2013 Apr;21(7):8298-310

Photonics Laboratory, King Abdullah University of Science and Technology (KAUST), Thuwal 21534, Saudi Arabia.

In this paper we report on the feasibility of light confinement in orbital geodesics on stationary, planar, and centro-symmetric refractive index mappings. Constrained to fabrication and [meta]material limitations, the refractive index, n, has been bounded to the range: 0.8 ≤ n(r[combining arrow]) ≤ 3. Read More

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http://dx.doi.org/10.1364/OE.21.008298DOI Listing
April 2013
18 Reads

A clock directly linking time to a particle's mass.

Science 2013 Feb 10;339(6119):554-7. Epub 2013 Jan 10.

Department of Physics, University of California-Berkeley, CA 94720, USA.

Historically, time measurements have been based on oscillation frequencies in systems of particles, from the motion of celestial bodies to atomic transitions. Relativity and quantum mechanics show that even a single particle of mass m determines a Compton frequency ω(0) = mc(2)/[formula: see text] where c is the speed of light and [formula: see text] is Planck's constant h divided by 2π. A clock referenced to ω(0) would enable high-precision mass measurements and a fundamental definition of the second. Read More

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http://dx.doi.org/10.1126/science.1230767DOI Listing
February 2013
3 Reads

New developments in classical chaotic scattering.

Rep Prog Phys 2013 Jan 14;76(1):016001. Epub 2012 Dec 14.

Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain.

Classical chaotic scattering is a topic of fundamental interest in nonlinear physics due to the numerous existing applications in fields such as celestial mechanics, atomic and nuclear physics and fluid mechanics, among others. Many new advances in chaotic scattering have been achieved in the last few decades. This work provides a current overview of the field, where our attention has been mainly focused on the most important contributions related to the theoretical framework of chaotic scattering, the fractal dimension, the basins boundaries and new applications, among others. Read More

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http://dx.doi.org/10.1088/0034-4885/76/1/016001DOI Listing
January 2013
7 Reads

Newton, laplace, and the epistemology of systems biology.

Cancer Inform 2012 30;11:185-90. Epub 2012 Oct 30.

Computational Biology Division, Translational Genomics Research Institute, Phoenix, AZ, USA.

For science, theoretical or applied, to significantly advance, researchers must use the most appropriate mathematical methods. A century and a half elapsed between Newton's development of the calculus and Laplace's development of celestial mechanics. One cannot imagine the latter without the former. Read More

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http://dx.doi.org/10.4137/CIN.S10630DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3493142PMC
November 2012
4 Reads

Caloric curve of star clusters.

Phys Rev E Stat Nonlin Soft Matter Phys 2012 Jun 5;85(6 Pt 1):061105. Epub 2012 Jun 5.

Dipartimento di Fisica e Astronomia and Centro per lo Studio delle Dinamiche Complesse (CSDC), Università di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino (FI), Italy.

Self-gravitating systems, such as globular clusters or elliptical galaxies, are the prototypes of many-body systems with long-range interactions, and should be the natural arena in which to test theoretical predictions on the statistical behavior of long-range-interacting systems. Systems of classical self-gravitating particles can be studied with the standard tools of equilibrium statistical mechanics, provided the potential is regularized at small length scales and the system is confined in a box. The confinement condition looks rather unphysical in general, so that it is natural to ask whether what we learn with these studies is relevant to real self-gravitating systems. Read More

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http://dx.doi.org/10.1103/PhysRevE.85.061105DOI Listing
June 2012
5 Reads

Predicting the past: ancient eclipses and Airy, Newcomb, and Huxley on the authority of science.

Authors:
Matthew Stanley

Isis 2012 Jun;103(2):254-77

Gallatin School of Individualized Study, New York University, 1 Washington Place, New York, New York 10003, USA.

Greek historical accounts of ancient eclipses were an important, if peculiar, focus of scientific attention in the nineteenth century. Victorian-era astronomers tried to correct the classical histories using scientific methods, then used those histories as data with which to calibrate their lunar theories, then rejected the histories as having any relevance at all. The specific dating of these eclipses--apparently a simple exercise in celestial mechanics--became bound up with tensions between scientific and humanistic approaches to the past as well as with wider social debates over the power and authority of science in general. Read More

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http://dx.doi.org/10.1086/666355DOI Listing
June 2012
3 Reads

Kepler Predictor-Corrector Algorithm: Scattering Dynamics with One-Over-R Singular Potentials.

J Chem Theory Comput 2012 Jan 6;8(1):24-35. Epub 2011 Dec 6.

Department of Chemistry, Yale University , P.O. Box 208107, New Haven, Connecticut 06520-8107, United States.

An accurate and efficient algorithm for dynamics simulations of particles with attractive 1/r singular potentials is introduced. The method is applied to semiclassical dynamics simulations of electron-proton scattering processes in the Wigner-transform time-dependent picture, showing excellent agreement with full quantum dynamics calculations. Rather than avoiding the singularity problem by using a pseudopotential, the algorithm predicts the outcome of close-encounter two-body collisions for the true 1/r potential by solving the Kepler problem analytically and corrects the trajectory for multiscattering with other particles in the system by using standard numerical techniques (e. Read More

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http://dx.doi.org/10.1021/ct200452hDOI Listing
January 2012
6 Reads

Time scales in the context of general relativity.

Authors:
Bernard Guinot

Philos Trans A Math Phys Eng Sci 2011 Oct;369(1953):4131-42

Observatoire de Paris (SYRTE), 61 avenue de l'Observatoire, F-75014 Paris, France.

Towards 1967, the accuracy of caesium frequency standards reached such a level that the relativistic effect could not be ignored anymore. Corrections began to be applied for the gravitational frequency shift and for distant time comparisons. However, these corrections were not applied to an explicit theoretical framework. Read More

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http://dx.doi.org/10.1098/rsta.2011.0182DOI Listing
October 2011
1 Read

Organic mechanism and the soul of science.

Authors:
Catherine Wilson

Can Bull Med Hist 2009 ;26(1):85-97

City University of New York Graduate Centre, New York, NY, USA.

One of Donald Bates's most striking claims was that the bio-medical sciences were central to the Scientific Revolution of the 17th century and that its innovators drew heavily on the "organic mechanism" of the ancients. The paper elaborates on and defends Bates's proposal against a more conventional reading of the Scientific Revolution as driven by celestial and terrestrial mechanics and physics. Read More

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http://dx.doi.org/10.3138/cbmh.26.1.85DOI Listing
January 2010
14 Reads

Chaos theory before Lorenz.

Authors:
J Barkley Rosser

Nonlinear Dynamics Psychol Life Sci 2009 Jul;13(3):257-69

Department of Economics, James Madison University, Harrisonburg, VA 22807, USA.

We consider the precursors to the discovery of sensitive dependence on initial conditions by Edward Lorenz (1963) in his model of climatic fluid dynamics. This will focus on work in various disciplines that imply either such sensitivity, irregular endogenous dynamic patterns, or fractal nature of an attractor, as is also found in the attractor underlying the model Lorenz studied. Going from ancient hints in Anaxagoras through nineteenth century mathematics and physics, the main areas of such development will be argued to have been in celestial mechanics, oscillators, and economics. Read More

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July 2009
1 Read

Chaotic scattering in solitary wave interactions: a singular iterated-map description.

Authors:
Roy H Goodman

Chaos 2008 Jun;18(2):023113

Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA.

We derive a family of singular iterated maps--closely related to Poincare maps--that describe chaotic interactions between colliding solitary waves. The chaotic behavior of such solitary-wave collisions depends on the transfer of energy to a secondary mode of oscillation, often an internal mode of the pulse. This map allows us to go beyond previous analyses and to understand the interactions in the case when this mode is excited prior to the first collision. Read More

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http://dx.doi.org/10.1063/1.2904823DOI Listing
June 2008
2 Reads

Cyberspatial mechanics.

Authors:
Jay S Bayne

IEEE Trans Syst Man Cybern B Cybern 2008 Jun;38(3):629-44

Meta Command Systems, Inc., Mequon, WI 53092, USA.

In support of a generalization of systems theory, this paper introduces a new approach in modeling complex distributed systems. It offers an analytic framework for describing the behavior of interactive cyberphysical systems (CPSs), which are networked stationary or mobile information systems responsible for the real-time governance of physical processes whose behaviors unfold in cyberspace. The framework is predicated on a cyberspace-time reference model comprising three spatial dimensions plus time. Read More

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http://dx.doi.org/10.1109/TSMCB.2008.916309DOI Listing

Regions of nonexistence of invariant tori for spin-orbit models.

Chaos 2007 Dec;17(4):043119

Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy.

The spin-orbit problem in celestial mechanics describes the motion of an oblate satellite moving on a Keplerian orbit around a primary body. We apply the conjugate points criterion for the nonexistence of rotational invariant tori. We treat both the conservative case and a case including a dissipative effect modeling a tidal torque generated by internal nonrigidity. Read More

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http://dx.doi.org/10.1063/1.2811880DOI Listing
December 2007
5 Reads

Extrapolated gradientlike algorithms for molecular dynamics and celestial mechanics simulations.

Authors:
I P Omelyan

Phys Rev E Stat Nonlin Soft Matter Phys 2006 Sep 19;74(3 Pt 2):036703. Epub 2006 Sep 19.

Institute for Condensed Matter Physics, 1 Svientsitskii Street, UA-79011 Lviv, Ukraine.

A class of symplectic algorithms is introduced to integrate the equations of motion in many-body systems. The algorithms are derived on the basis of an advanced gradientlike decomposition approach. Its main advantage over the standard gradient scheme is the avoidance of time-consuming evaluations of force gradients by force extrapolation without any loss of precision. Read More

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http://dx.doi.org/10.1103/PhysRevE.74.036703DOI Listing
September 2006
5 Reads

Crash test for the restricted three-body problem.

Authors:
Jan Nagler

Phys Rev E Stat Nonlin Soft Matter Phys 2005 Feb 14;71(2 Pt 2):026227. Epub 2005 Feb 14.

Institut für Theoretische Physik, Otto-Hahn-Allee, Universität Bremen, 28334 Bremen, Germany.

The restricted three-body problem serves to investigate the chaotic behavior of a small body under the gravitational influence of two heavy primary bodies. We analyze numerically the phase space mixing of bounded motion, escape, and crash in this simple model of (chaotic) celestial mechanics. The presented extensive numerical analysis reveals a high degree of complexity. Read More

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http://dx.doi.org/10.1103/PhysRevE.71.026227DOI Listing
February 2005
1 Read

Crash test for the Copenhagen problem.

Authors:
Jan Nagler

Phys Rev E Stat Nonlin Soft Matter Phys 2004 Jun 17;69(6 Pt 2):066218. Epub 2004 Jun 17.

Institut für Theoretische Physik, Otto-Hahn-Allee, Universität Bremen, 28334 Bremen, Germany.

The Copenhagen problem is a simple model in celestial mechanics. It serves to investigate the behavior of a small body under the gravitational influence of two equally heavy primary bodies. We present a partition of orbits into classes of various kinds of regular motion, chaotic motion, escape and crash. Read More

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http://dx.doi.org/10.1103/PhysRevE.69.066218DOI Listing
June 2004
1 Read

On the occurrence of transition states in celestial mechanics.

Ann N Y Acad Sci 2004 May;1017:39-45

Department of Chemistry, West Virginia University, Morgantown, WV 2606-6045, USA.

The transition state is a central concept in the study of chemical reactions. The basic idea is that state space (phase space) can be partitioned into two volumes; the first corresponding to reactants and the second to products. Chemists call the boundary between these two regions the transition state. Read More

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http://dx.doi.org/10.1196/annals.1311.003DOI Listing
May 2004
3 Reads

Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics.

Chaos 2000 Jun;10(2):427-469

Control and Dynamical Systems, Caltech 107-81, Pasadena, California 91125.

In this paper we apply dynamical systems techniques to the problem of heteroclinic connections and resonance transitions in the planar circular restricted three-body problem. These related phenomena have been of concern for some time in topics such as the capture of comets and asteroids and with the design of trajectories for space missions such as the Genesis Discovery Mission. The main new technical result in this paper is the numerical demonstration of the existence of a heteroclinic connection between pairs of periodic orbits: one around the libration point L(1) and the other around L(2), with the two periodic orbits having the same energy. Read More

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http://dx.doi.org/10.1063/1.166509DOI Listing
June 2000
8 Reads

The method of variation of constants and multiple time scales in orbital mechanics.

Chaos 2003 Jun;13(2):476-85

Department of Earth & Space Sciences, University of California, Los Angeles, California 90095, USA.

The method of variation of constants is an important tool used to solve systems of ordinary differential equations, and was invented by Euler and Lagrange to solve a problem in orbital mechanics. This methodology assumes that certain "constants" associated with a homogeneous problem will vary in time in response to an external force. It also introduces one or more constraint equations. Read More

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http://dx.doi.org/10.1063/1.1563355DOI Listing
June 2003
2 Reads

Construction of high-order force-gradient algorithms for integration of motion in classical and quantum systems.

Phys Rev E Stat Nonlin Soft Matter Phys 2002 Aug 2;66(2 Pt 2):026701. Epub 2002 Aug 2.

Institute for Condensed Matter Physics, 1 Svientsitskii Street, UA-79011 Lviv, Ukraine.

A consequent approach is proposed to construct symplectic force-gradient algorithms of arbitrarily high orders in the time step for precise integration of motion in classical and quantum mechanics simulations. Within this approach the basic algorithms are first derived up to the eighth order by direct decompositions of exponential propagators and further collected using an advanced composition scheme to obtain the algorithms of higher orders. Contrary to the scheme proposed by Chin and Kidwell [Phys. Read More

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http://dx.doi.org/10.1103/PhysRevE.66.026701DOI Listing
August 2002
1 Read

Statistical theory of asteroid escape rates.

Phys Rev Lett 2002 Jul 12;89(1):011101. Epub 2002 Jun 12.

Control and Dynamical Systems Division 107-81, California Institute of Technology, Pasadena, California 91125, USA.

Transition states in phase space are identified and shown to regulate the rate of escape of asteroids temporarily captured in circumplanetary orbits. The transition states, similar to those occurring in chemical reaction dynamics, are then used to develop a statistical semianalytical theory for the rate of escape of asteroids temporarily captured by Mars. Theory and numerical simulations are found to agree to better than 1%. Read More

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http://dx.doi.org/10.1103/PhysRevLett.89.011101DOI Listing
July 2002
6 Reads

Driving trajectories in chaotic scattering.

Phys Rev E Stat Nonlin Soft Matter Phys 2002 Feb 24;65(2 Pt 2):026215. Epub 2002 Jan 24.

Laboratório de Integraçāo e Testes (LIT), Instituto Nacional de Pesquisas Espaciais (INPE), São José das Campos, São Paulo, Brazil.

In this work we introduce a general approach for targeting in chaotic scattering that can be used to find a transfer trajectory between any two points located inside the scattering region. We show that this method can be used in association with a control of chaos strategy to drive around and keep a particle inside the scattering region. As an illustration of how powerful this approach is, we use it in a case of practical interest in celestial mechanics in which it is desired to control the evolution of two satellites that evolve around a large central body. Read More

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http://dx.doi.org/10.1103/PhysRevE.65.026215DOI Listing
February 2002
5 Reads

Current understanding of the circadian clock and the clinical implications for neurological disorders.

Arch Neurol 2001 Nov;58(11):1781-7

Center for Sleep and Circadian Biology, Department of Neurobiology and Physiology, Northwestern University, Evanston, IL 60208-3520, USA.

The changes in behavior that occur on a 24-hour basis to match the 24-hour changes in the physical environment due to the rotation of the earth on its axis are a hallmark of life on the planet Earth. The nervous system of both lower and higher organisms has evolved over millions of years to meet the demands of the dramatic changes in the physical environment that occur in relation to the changes in the light-dark cycle, optimizing the survival and reproductive success of the organism. During the past 50 years, it has been clearly established that the 24-hour nature of life was not simply a response to the 24-hour changes in the physical environment imposed by celestial mechanics, but instead was due to an internal time-keeping system in the brain. Read More

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http://dx.doi.org/10.1001/archneur.58.11.1781DOI Listing
November 2001
1 Read

Celestial Mechanics, Sea-Level Changes, and Intertidal Ecology.

Authors:
M W Denny R T Paine

Biol Bull 1998 Apr;194(2):108-115

Celestial mechanics has long been known to affect life on Earth, but exploration of these influences has been hampered by long temporal scales and complex biological relations. Here we report on a periodic fluctuation in tidal exposure driven by the 18.6-y oscillation of the moon's orbital inclination, which can change by almost 50% the average time that intertidal organisms are exposed to air. Read More

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http://dx.doi.org/10.2307/1543040DOI Listing

Regular and chaotic motions in applied dynamics of a rigid body.

Chaos 1996 Jun;6(2):155-166

M. V. Keldysh Institute of Applied Mathematics, 4 Miusskaya Sq., Moscow, 125047, RussiaSpace Research Institute, 84/32 Profsoyuznaya, Moscow, 117810, RussiaM. V. Keldysh Institute of Applied Mathematics, 4 Miusskaya Sq., Moscow, 125047, Russia.

Periodic and regular motions, having a predictable functioning mode, play an important role in many problems of dynamics. The achievements of mathematics and mechanics (beginning with Poincare) have made it possible to establish that such motion modes, generally speaking, are local and form "islands" of regularity in a "chaotic sea" of essentially unpredictable trajectories. The development of computer techniques together with theoretical investigations makes it possible to study the global structure of the phase space of many problems having applied significance. Read More

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http://dx.doi.org/10.1063/1.166160DOI Listing
June 1996
1 Read

General-relativistic celestial mechanics. IV. Theory of satellite motion.

Phys Rev D Part Fields 1994 Jan;49(2):618-635

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http://dx.doi.org/10.1103/physrevd.49.618DOI Listing
January 1994

Tertiary amines related to brompheniramine: preferred conformations for N-oxygenation by the hog liver flavin-containing monooxygenase.

Pharm Res 1993 Aug;10(8):1097-105

Department of Pharmaceutical Chemistry, University of California, San Francisco 94143.

The metabolism of racemic, (D)- and (L)-brompheniramine, a widely used antihistamine, was studied with microsomes and with highly purified flavin-containing monooxygenase (FMO) from hog liver. In addition, a number of other similar tertiary amines were evaluated as substrates for FMO activity from hog liver and the kinetic constants obtained were compared with brompheniramine. Although some N-demethylation was observed, the major metabolite of brompheniramine and the other tertiary amines examined in hog liver microsomes was the metabolite containing an aliphatic nitrogen N-oxide. Read More

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http://dx.doi.org/10.1023/a:1018947714030DOI Listing
August 1993
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General-relativistic celestial mechanics. III. Rotational equations of motion.

Phys Rev D Part Fields 1993 Apr;47(8):3124-3135

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http://dx.doi.org/10.1103/physrevd.47.3124DOI Listing
April 1993
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Celestial mechanics on a microscopic scale.

Science 1991 Jul;253(5015):42-8

Classical and semiclassical methods are unrivaled in providing an intuitive and computationally tractable approach to the study of atomic, molecular, and nuclear dynamics. An important advantage of such methods is their ability to uncover in a single picture underlying structures that may be hard to extract from the profusion of data supplied by detailed quantum calculations. Modern trends in semiclassical mechanics are described, particularly the combination of group theoretical methods with techniques of nonlinear dynamics. Read More

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http://dx.doi.org/10.1126/science.253.5015.42DOI Listing

Celestial mechanics, conformal structures, and gravitational waves.

Phys Rev D Part Fields 1991 Jun;43(12):3907-3922

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http://dx.doi.org/10.1103/physrevd.43.3907DOI Listing
June 1991
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Celestial mechanics.

Authors:
D G Saari

Science 1982 Nov;218(4573):673-4

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http://dx.doi.org/10.1126/science.218.4573.673DOI Listing
November 1982
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Relative equilibria of vortices in two dimensions.

Authors:
J I Palmore

Proc Natl Acad Sci U S A 1982 Jan;79(2):716-8

Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801.

An old problem of the evolution of finitely many interacting point vortices in the plane is shown to be amenable to investigation by critical point theory in a way that is identical to the study of the planar n-body problem of celestial mechanics. For any choice of positive circulations of the vortices it is shown by critical point theory applied to Kirchhoff's function that there are many relative equilibria configurations. Each of these configurations gives rise to a stationary configuration of the vortices in a suitably chosen rotating coordinate system. Read More

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC345819PMC
http://dx.doi.org/10.1073/pnas.79.2.716DOI Listing
January 1982

Pioneer saturn celestial mechanics experiment.

Science 1980 Jan;207(4429):449-53

During the Pioneer Saturn encounter, a continuous round-trip radio link at S band ( approximately 2.2 gigahertz) was maintained between stations of the Deep Space Network and the spacecraft. From an analysis of the Doppler shift in the radio carrier frequency, it was possible to determine a number of gravitational effects on the trajectory. Read More

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http://dx.doi.org/10.1126/science.207.4429.449DOI Listing
January 1980
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