Central Configurations of the Curved N-Body Problem

Central configurations and relative equilibria in the n–body problem

New Classes of Spatial Central Configurations for N + N + 2 - Body Problem

and Applied Analysis 3 Recently, Hampton and Santoprete 17 provided new examples of stacked spatial central configurations—central configurations for theN-body problemwhere a proper subset of the N bodies are already on a central configuration—for the 7-body problem where the bodies are arranged as concentric threeand two-dimensional simplex. New classes of stacked spatial central configuration...

ON THE SINGULARITIES OF THE CURVED n-BODY PROBLEM

We study singularities of the n-body problem in spaces of constant curvature and generalize certain results due to Painlevé, Weierstrass, and Sundman. For positive curvature, some of our proofs use the correspondence between total collision solutions of the original system and their orthogonal projection—a property that offers a new method of approaching the problem in this particular case.

Stacked Central Configurations for the Spatial Nine-Body Problem

We show the existence of the twisted stacked central configurations for the 9-body problem. More precisely, the position vectors x₁, x₂, x₃, x₄, and x₅ are at the vertices of a square pyramid Σ; the position vectors x₆, x₇, x₈, and x₉ are at the vertices of a square Π.

the problem of divine hiddenness

این رساله به مساله احتجاب الهی و مشکلات برهان مبتنی بر این مساله میپردازد. مساله احتجاب الهی مساله ای به قدمت ادیان است که به طور خاصی در مورد ادیان ابراهیمی اهمیت پیدا میکند. در ادیان ابراهیمی با توجه به تعالی خداوند و در عین حال خالقیت و حضور او و سخن گفتن و ارتباط شهودی او با بعضی از انسانهای ساکن زمین مساله ای پدید میاید با پرسشهایی از قبیل اینکه چرا ارتباط مستقیم ویا حداقل ارتباط وافی به ب...