On double-star orbits

Star Products on Coadjoint Orbits

On the Chaotic Orbits of Disc-Star-Planet Systems

Following Tancredi, Sànchez and Roig (2001)’s criteria of chaos, two ways of setting initial velocities are used in the numerical surveys to explore the possible chaotic and regular orbits for the disc-star-planet systems. We find that the chaotic boundary does not depend much on the disc mass for Type I initial condition, but can change a lot for different disc masses for Type II initial condi...

Existence of Multiple Periodic Orbits on Star-Shaped Hamiltonian Surfaces

Consider the Hamiltonian system i = 1 , . . . , N. Here, H E C2(R2N, R). In this paper, we investigate the existence of periodic orbits of (HS) on a given energy surface X = { z E W Z N ; H ( z) = c} ( c > 0 is a constant). The surface I: is required to verify certain geometric assumptions: B bounds a star-shaped compact region B and u 8 c B c pS for some ellipsoid %‘c RZN, 0 < (Y < p. We exhib...

Double-Star Detection Using Convolutional Neural Network in Atmospheric Turbulence

In this paper, we investigate the usage of machine learning in the detection and recognition of double stars. To do this, numerous images including one star and double stars are simulated. Then, 100 terms of Zernike expansion with random coefficients are considered as aberrations to impose on the aforementioned images. Also, a telescope with a specific aperture is simulated. In this work, two k...

On Edge-Decomposition of Cubic Graphs into Copies of the Double-Star with Four Edges‎

‎A tree containing exactly two non-pendant vertices is called a double-star‎. ‎Let $k_1$ and $k_2$ be two positive integers‎. ‎The double-star with degree sequence $(k_1+1‎, ‎k_2+1‎, ‎1‎, ‎ldots‎, ‎1)$ is denoted by $S_{k_1‎, ‎k_2}$‎. ‎It is known that a cubic graph has an $S_{1,1}$-decomposition if and only if it contains a perfect matching‎. ‎In this paper‎, ‎we study the $S_{1,2}$-decomposit...