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We present an efficient transcription method for highly oscillatory optimal control problems. For these problems, the optimal state trajectory consists of fast oscillations that change slowly over the time horizon. Out of a large number of…

最优化与控制 · 数学 2022-05-19 Jakob Harzer , Jochem De Schutter , Moritz Diehl

This work develops an analytical framework for downlink low Earth orbit (LEO) or medium Earth orbit (MEO) satellite communications, leveraging tools from stochastic geometry. We propose a tractable approach to the analysis of such satellite…

信号处理 · 电气工程与系统科学 2024-06-14 Chang-Sik Choi , François Baccelli

This paper presents a novel approach for the preliminary design of Low-Thrust, many-revolution transfers. The main feature of the novel approach is a considerable reduction in the control parameters and a consequent gain in computational…

最优化与控制 · 数学 2012-07-17 Federico Zuiani , Massimiliano Vasile

It is believed that some numerical technique must be employed for the determination of the system parameters of a visual binary or a star with a planet because the relevant equations are not only highly nonlinear but also transcendental…

天体物理学 · 物理学 2015-06-24 Hideki Asada , Toshio Akasaka , Masumi Kasai

This paper is related to our previous works [1][2] on the error estimate of the averaging technique, for systems with one fast angular variable. In the cited references, a general method (of mixed analytical and numerical type) has been…

数学物理 · 物理学 2011-02-22 Carlo Morosi , Livio Pizzocchero

Gateway will represent a primary logistic infrastructure in cislunar space. The identification of efficient orbit transfers capable of connecting Earth, Moon, and Gateway paves the way for enabling refurbishment, servicing, and utilization…

最优化与控制 · 数学 2024-12-06 Chiara Pozzi , Mauro Pontani , Alessandro Beolchi , Elena Fantino

This work shows the dynamical instability that can happen to close-in satellites when planet oblateness is not accounted for in non-coplanar multiplanet systems. Simulations include two secularly interacting Jupiter-mass planets mutually…

地球与行星天体物理 · 物理学 2015-06-23 Yu-Cian Hong , Matthew S. Tiscareno , Philip D. Nicholson , Jonathan I. Lunine

We provide stability estimates, obtained by implementing the Nekhoroshev theorem, in reference to the orbital motion of a small body (satellite or space debris) around the Earth. We consider a Hamiltonian model, averaged over fast angles,…

地球与行星天体物理 · 物理学 2021-12-14 Alessandra Celletti , Irene De Blasi , Christos Efthymiopoulos

Advanced solar sailing has been an increasingly attractive propulsion system for highly non-Keplerian orbits. Three new applications of the orbital angular momentum reversal (H-reversal) trajectories using solar sails are presented in this…

太阳与恒星天体物理 · 物理学 2015-05-27 Xiangyuan Zeng , Hexi Baoyin , Junfeng Li , Shengping Gong

Doppler orbitography uses the Doppler shift in a transmitted signal to determine the orbital parameters of satellites including range and range-rate (or radial velocity). We describe two techniques for atmospheric-limited optical Doppler…

The minimum-fuel orbital transfer is analyzed in the case of a launcher upper stage using a constantly thrusting engine. The thrust level is assumed to be constant and its value is optimized together with the thrust direction. A closed-loop…

最优化与控制 · 数学 2017-04-05 Max Cerf

Continuing work initiated in an earlier publication [Sato and Asada, PASJ, 61, L29 (2009)], we consider light curves influenced by the orbital inclination and eccentricity of a companion in orbit around a transiting extrasolar planet (in a…

地球与行星天体物理 · 物理学 2015-05-18 Masanao Sato , Hideki Asada

This work shows that a class of astrodynamics problems subject to mission constraints can be efficiently solved using the Theory of Functional Connections (TFC) mathematical framework by a specific change of coordinates. In these problems,…

天体物理仪器与方法 · 物理学 2024-01-09 Allan K. de Almeida , Antonio F. B. A. Prado , Daniele Mortari

When dealing with satellites orbiting a central body on a highly elliptical orbit, it is necessary to consider the effect of gravitational perturbations due to external bodies. Indeed, these perturbations can become very important as soon…

地球与行星天体物理 · 物理学 2016-05-26 Guillaume Lion , Gilles Métris , Florent Deleflie

A simple procedure is developed to determine orbital elements of an object orbiting in a central force field which contribute more than three independent celestial positions. By manipulation of formal three point Gauss method of orbit…

地球与行星天体物理 · 物理学 2015-06-17 Taghi Mirtorabi

The problem of minimum-time, low-thrust, Earth-to-Mars interplanetary orbital trajectory optimization is considered. The minimum-time orbital transfer problem is modeled as a four-phase optimal control problem where the four phases…

最优化与控制 · 数学 2021-04-08 Brittanny V. Holden , Shan He , Anil V. Rao

The use of electric low-thrust propulsion systems for orbit maneuvers is becoming a popular choice among satellite manufacturers due to their inherent merits over their chemical counterparts. Many designers choose to incorporate multiple of…

系统与控制 · 电气工程与系统科学 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

In a previous paper, using ergodic theory, Lo [1] derived a simple definite integral that provided an estimate of the view periods of ground stations to satellites. This assumes the satellites are in circular orbits with non-repeating…

地球与行星天体物理 · 物理学 2020-10-14 Andrew J. Graven , Martin W. Lo

A general approach to the problem of positioning by means of pulsars or other pulsating sources located at infinity is described. The counting of the pulses for a set of different sources whose positions in the sky and periods are assumed…

广义相对论与量子宇宙学 · 物理学 2015-05-14 A. Tartaglia

This paper proposes a solution for multiple-impulse orbital maneuvers near circular orbits for special cases where orbital observations are not globally available and the spacecraft is being observed through a limited window from a ground…

最优化与控制 · 数学 2020-06-02 Amir Shakouri , Seid H. Pourtakdoust , Mohammad Sayanjali