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We describe an analytical method for computing the orbital parameters of a planet from the periodogram of a radial velocity signal. The method is very efficient and provides a good approximation of the orbital parameters. The accuracy is…

Earth and Planetary Astrophysics · Physics 2016-06-01 J. -B. Delisle , D. Ségransan , N. Buchschacher , F. Alesina

The time-wise and space-wise approaches are generally applied to data processing and error analysis for satellite gravimetry missions. But both the approaches, which are based on least-squares collocation, address the whole effect of…

Geophysics · Physics 2015-06-11 Lin Cai , Zebing Zhou , Houtse Hsu , Fang Gao , Zhu Zhu , Jun Luo

In this work the orbital dynamics of Earth satellites about the geosynchronous altitude are explored, with primary goal to assess current mitigation guidelines as well as to discuss the future exploitation of the region. A thorough…

Earth and Planetary Astrophysics · Physics 2019-05-07 Ioannis Gkolias , Camilla Colombo

The primary objective of this paper is to construct an analytical model for determining the total duration of eclipse events of satellites. The approach assumes that the trace formed in the orbital plane, cutting body shadow under the…

Instrumentation and Methods for Astrophysics · Physics 2024-12-18 Vladislav Zubko , Andrey Belyaev

Weierstrass elliptic and related functions have been recently shown to enable analytical explicit solutions to classical problems in astrodynamics. These include the constant radial acceleration problem, the Stark problem and the two-fixed…

Earth and Planetary Astrophysics · Physics 2016-01-21 Dario Izzo , Francesco Biscani

The Slater-type orbital basis with non-integer principal quantum numbers is a physically and mathematically motivated choice for molecular electronic structure calculations in both non-relativistic and relativistic theory. The…

Quantum Physics · Physics 2022-03-15 A Bagci , Philip E Hoggan , M Adak

We present an improved analytic calculation for the tidal radius of satellites and test our results against N-body simulations. The tidal radius in general depends upon four factors: the potential of the host galaxy, the potential of the…

Astrophysics · Physics 2009-11-13 J. I. Read , M. I. Wilkinson , N. W. Evans , G. Gilmore , Jan T. Kleyna

Semi-analytic modeling furnishes an efficient avenue for characterizing the properties of dark matter halos associated with satellites of Milky Way-like systems, as it easily accounts for uncertainties arising from halo-to-halo variance,…

Astrophysics of Galaxies · Physics 2025-10-06 Dylan Folsom , Oren Slone , Mariangela Lisanti , Fangzhou Jiang , Manoj Kaplinghat

A popular intermediary in the theory of artificial satellites is obtained after the elimination of parallactic terms from the J2-problem Hamiltonian. The resulting quasi-Keplerian system is in turn converted into the Kepler problem by a…

Dynamical Systems · Mathematics 2023-05-17 Martin Lara , Alessandro Masat , Camilla Colombo

The apparent brightness of satellites is calculated as a function of satellite position as seen by a ground-based observer in darkness. Both direct illumination of the satellite by the Sun as well as indirect illumination due to reflection…

Instrumentation and Methods for Astrophysics · Physics 2023-10-13 Forrest Fankhauser , J. Anthony Tyson , Jacob Askari

In this work we present a new methodology for orbit propagation, the hybrid perturbation theory, based on the combination of an integration method and a prediction technique. The former, which can be a numerical, analytical or…

Space Physics · Physics 2016-05-31 Juan Félix San-Juan , Montserrat San-Martín , Iván Pérez , Rosario López

This work deals with an ADCS model for a satellite orbiting around Earth. The object is to achieve a preliminary design and perform some analysis on it. To do so, a GNB was selected and main properties are exploited. Previous works of [9],…

Systems and Control · Electrical Eng. & Systems 2021-03-04 Alessio Bocci , Giovanni Mingari Scarpello

We consider the use of multiple co-located satellites to improve the spectral efficiency of broadcast transmissions. In particular, we assume that two satellites transmit on overlapping geographical coverage areas, with overlapping…

Information Theory · Computer Science 2016-11-17 Andrea Modenini , Alessandro Ugolini , Amina Piemontese , Giulio Colavolpe

Multi orbit low earth orbit (LEO) satellites communication is envisioned as a key infrastructure to deliver global coverage, enabling future services from space air ground integrated networks.However, the optimized design of LEO which…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Yingzhuo Sun , Yulan Gao , Ming Xiao , Zhu Han , Octavia A. Dobre

Lambert's problem is the orbital boundary-value problem constrained by two points and elapsed time. It is one of the most extensively studied problems in celestial mechanics and astrodynamics, and, as such, it has always attracted the…

Numerical Analysis · Mathematics 2021-04-13 David de la Torre Sangrà , Elena Fantino

This paper presents a method to reconstruct the position of the line of sight and orientation of the focal plane of the Planck satellite, which may be expressed by the parameters of the effective boresight and roll angles, respectively. The…

Astrophysics · Physics 2009-11-10 D. L. Harrison , F. van Leeuwen , M. Rowan-Robinson

The intention of this article is to illustrate the use of methods from symplectic geometry for practical purposes. Our intended audience is scientists interested in orbits of Hamiltonian systems (e.g. the three-body problem). The main…

Symplectic Geometry · Mathematics 2023-03-10 Urs Frauenfelder , Dayung Koh , Agustin Moreno

This paper presents a study of an integrated satellite-terrestrial network, where Low-Earth-Orbit (LEO) satellites are used to provide the backhaul link between base stations (BSs) and the core network. The mobility of LEO satellites raises…

Signal Processing · Electrical Eng. & Systems 2023-03-21 Hung Nguyen-Kha , Vu Nguyen Ha , Eva Lagunas , Symeon Chatzinotas , Joel Grotz

Available proper motion measurements of Milky Way (MW) satellite galaxies are used to calculate their orbital poles and projected uncertainties. These are compared to a set of recent cold dark-matter (CDM) simulations, tailored specifically…

Astrophysics · Physics 2009-11-13 Manuel Metz , Pavel Kroupa , Noam I. Libeskind

This thesis is concerned with problems related to Synthetic Aperture Radar (SAR). The thesis is structured as follows: The first chapter explains what SAR is, and the physical and mathematical background is illuminated. The following…

Classical Analysis and ODEs · Mathematics 2010-10-26 Jens Klein