Untitled

Haberman, Richard; Rand, Richard H.; Yuster, Thomas

doi:10.1023/a:1008393913849

Cited by 21 publications

(2 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the language of dynamical system theory, the picture we are describing is that of a weakly dissipative system where multiple stable states exist and sensitivity to initial conditions introduces probabilistic aspects in an otherwise purely deterministic dynamics [20][21][22][23]. This problem is of very general nature [24,25], and is en-countered in many other fields of science, from stability of planetary motion in the solar system, to motion of charged particles in electric and magnetic fields, to propagation of electromagnetic waves (see [26] and references therein).…”

mentioning

confidence: 99%

Probabilistic Aspects of Magnetization Relaxation in Single-Domain Nanomagnets

2013

View full text Add to dashboard Cite

A single-domain nanomagnet is a basic example of a system where relaxation from high to low energy is probabilistic in nature even when thermal fluctuations are neglected. The reason is the presence of multiple stable states combined with extreme sensitivity to initial conditions. It is demonstrated that for this system the probability of relaxing from high energies to one of the stable magnetization orientations can be tuned to any desired value between 0 and 1 by applying a small transverse magnetic field of appropriate amplitude. In particular, exact analytical predictions are derived for the conditions under which the probability of reaching one of the stable states becomes exactly 0 or 1. Under these conditions, magnetization relaxation is totally insensitive to initial conditions, and the final state can be predicted with certainty, a feature that could be exploited to devise novel magnetization switching strategies or novel methods for the measurement of the magnetization damping constant.

show abstract

mentioning

confidence: 99%

Probabilistic Aspects of Magnetization Relaxation in Single-Domain Nanomagnets

2013

View full text Add to dashboard Cite

show abstract

“…The prolem's history extended to include orbits undergoing resonant capture, as demonstrated by Quinn et al (1995), and Haberman et al (1999) and the influences of zonal harmonic, sectorial harmonic, and the Earth acting as a third-body perturber, Nie & Gurfil (2018). Oliveira et al (2019) investigated the perturbing effects of the Sun on the orbital evolution of artificial satellites following frozen orbits around Mars.…”

Section: Introductionmentioning

confidence: 99%

Perturbations of Zonal and Tesseral Harmonics on Frozen Orbits of Charged Satellites

El-Salam,

Rahoma,

El-Saftawy

et al. 2024

J. Astron. Space Sci.

View full text Add to dashboard Cite

The objective of this research is to address the issue of frozen orbits in charged satellites by incorporating geopotential zonal harmonics up to J6 and the initial tesseral harmonics. The employed model starts from the first normalized Hamiltonian to calculate specific sets of long-term frozen orbits for charged satellites. To explore the frozen orbits acquired, a MATHEMATICA CODE is developed. The investigation encompasses extensive variations in orbit altitudes by employing the orbital inclination and argument of periapsis as freezing parameters. The determined ranges ensuring frozen orbits are derived from the generated figures. Three-dimensional presentations illustrating the freezing inclination in relation to eccentricity, argument of periapsis, and semi-major axis parameters are presented. Additional three-dimensional representations of the phase space for the eccentricity vector and its projection onto the nonsingular plane are examined. In all investigated scenarios, the impacts of electromagnetic (EM) field perturbations on the freezing parameters of a charged satellite are demonstrated.

show abstract

Probability Phenomena in Perturbed Dynamical Systems

Neishtadt

Mechanics of the 21st Century

View full text Add to dashboard Cite

Untitled

Cited by 21 publications

References 18 publications

Probabilistic Aspects of Magnetization Relaxation in Single-Domain Nanomagnets

Probabilistic Aspects of Magnetization Relaxation in Single-Domain Nanomagnets

Perturbations of Zonal and Tesseral Harmonics on Frozen Orbits of Charged Satellites

Probability Phenomena in Perturbed Dynamical Systems

Contact Info

Product

Resources

About