Secular Perturbations for Asteroids Belonging to Families

Secular spin dynamics of inner main-belt asteroids

Understanding the evolution of asteroid spin states is challenging work, in part because asteroids have a variety of orbits, shapes, spin states, and collisional histories but also because they are strongly influenced by gravitational and non-gravitational (YORP) torques. Using efficient numerical models designed to investigate asteroid orbit and spin dynamics, we study here how several individ...

Perturbations of Existence Families for Abstract Cauchy Problems

In this paper, we establish Desch-Schappacher type multiplicative and additive perturbation theorems for existence families for arbitrary order abstract Cauchy problems in a Banach space: u(n)(t) = Au(t) (t ≥ 0); u(j)(0) = xj (0 ≤ j ≤ n− 1). As a consequence, we obtain such perturbation results for regularized semigroups and regularized cosine operator functions. An example is also given to ill...

Period-doubling cascades for large perturbations of Hénon families

The Hénon family has been shown to have period-doubling cascades. We show here that the same occurs for a much larger class: Large perturbations do not destroy cascades. Furthermore, we can classify the period of a cascade in terms of the set of orbits it contains, and count the number of cascades of each period. This class of families extends a general theory explaining why cascades occur [5].

Reclaiming the Secular: Developing Dialogic Skills for a Post-Secular Society

This research paper addresses secularization from both political and religious perspectives. One of its manifestations in the political sphere is that of globalization that can lead to alienation within society; and in the United Kingdom this is exemplified by Brexit. Within the religious sphere secularization is usually couched in oppositional terms. This paper reclaims the original use ...

From Accelerators to Asteroids*