The admissible region is defined as the set of physically acceptable orbits (i.e., orbits with negative energies). Given additional constraints on orbital semi-major axis, eccentricity, etc, the admissible region is further constrained, resulting in the constrained admissible region (CAR). Based on known statistics of the measurement process, in this paper we replace hard constraints with a pro...

Current QoS (quality of service) routing schemes for Polar-orbit low earth orbit (LEO) satellites IP networks has high computation complexity to achieve end-to-end delay guarantee. As a remedy, agentbased QoS routing (AQR) is proposed. AQR is a source-based routing protocol. Once connection requests arrive, QoS mobile agents are dispatched from ingress satellite to explore candidate paths, and ...

The term probabilistic constrained programming means the same as chance constrained programming, i.e., optimization of a function subject to certain conditions where at least one is formulated so that a condition, involving random variables, should hold with a prescribed probability. The probability is usually not prescribed exactly but a lower bound is given instead which is in practice near u...

For a volume-preserving map, we show that the exit time averaged over the entry set of a region is given by the ratio of the measure of the accessible subset of the region to that of the entry set. This result is primarily of interest to show two things: First, it gives a simple bound on the algebraic decay exponent of the survival probability. Second, it gives a tool for computing the measure ...

Abstract In this paper, we study the generalized order- Jacobsthal sequences modulo for and the generalized order-k Jacobsthal-Padovan sequence modulo for . Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for . Furthermore, we obtain the lengths of the periods of the generalized order-3 ...

Situational awareness of Earth-orbiting particles is highly important for future human activities in space. For optical observations of debris, multiple observations must be combined in order to determine the orbit of the observed object. It is generally uncertain, however, whether two arbitrary tracks are of the same object, and solving this problem can be computationally intensive. In this pa...

Stellar-mass binary black holes (BBHs) may merge in the vicinity of a supermassive hole (SMBH). It is suggested that gravitational wave (GW) emitted by BBH has high probability to be lensed SMBH if BBH's orbit around (i.e., outer orbit) period less than year and duration observation space-borne GW observatory. For such ``$\mathrm{BBH}+\mathrm{SMBH}$'' triple system, de Sitter precession orbital...

We address the detection of unstable periodic orbits from experimentally measured transient chaotic time series. In particular, we examine recurrence times of trajectories in the vector space reconstructed from an ensemble of such time series. Numerical experiments demonstrate that this strategy can yield periodic orbits of low periods even when noise is present. We analyze the probability of f...

Context. Recognizing the transport of Energetic Neutral Atoms (ENA), from their place of birth to Earth orbit, has become an important issue in light of the forthcoming launch of the NASA SMEX mission IBEX, which is devoted to imaging of the heliospheric interface by in-situ detection of ENAs. Aims. We investigate the modifications of both energy of survival probability of the hydrogen ENA (H E...