The distance from self-intersection of a (smooth and either closed or infinite) curve q in three dimensions can be characterised via the global radius of curvature at q(s), which is defined as the smallest possible radius amongst all circles passing through the given point and any two other points on the curve. The minimum value of the global radius of curvature along the curve gives a convenie...

Abstract We further investigate the dark energy model based on Finsler geometry inspired osculating Barthel–Kropina cosmology. The cosmological approach is introduction of a Barthel connection in an geometry, with having property that it Levi-Civita Riemannian metric. From generalized Friedmann equations model, obtained by assuming background metric Friedmann–Lemaitre–Robertson–Walker type, eff...

We consider the spatial circular restricted three-body problem with light pressure. obtain an analytic expression for twice-averaged force function in nonresonant case. show that integrals of averaged equations written osculating elements are semi-major axis satellite orbit, average value function, and Lidov–Kozai integral. investigate stationary modes oscillations describe set equilibrium stat...

Framed curves in Euclidean space are used to investigate singular and important for singularity theory. In this study, framed four-dimensional introduced new results obtained. The relation of with Frenet is given Bishop-type frame the help Euler angles. addition, by using space, rectifying curves, osculating normal introduced. Also, some characterizations depending on curvatures

introduction: nowadays,  considerable developments  in  the field  of  radiotherapy have  been  achieved.  they  include  the  advances  made  in  the  equipments  and  treatment  planning  techniques  which  require  highly complex calculations. such achievements have made it possible to treat cancer patients not only  with  higher  radiation  dose  but  also  with  higher  precision  and  con...

Abstract We consider the cosmological evolution in an osculating point Barthel–Randers type geometry, which to each of space-time manifold arbitrary vector field is associated. This Finsler geometry assumed describe physical properties gravitational field, as well dynamics. For connection given by Levi-Civita associated Riemann metric. The generalized Friedmann equations are obtained considerin...