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The possibility of measuring the post-Newtonian gravitoelectric correction to the orbital period of a test particle freely orbiting a spherically symmetric mass in the Solar System is analyzed. It should be possible, in principle, to detect…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lorenzo Iorio

We study the dihedral multi-reference alignment problem of estimating the orbit of a signal from multiple noisy observations of the signal, acted on by random elements of the dihedral group. We show that if the group elements are drawn from…

Information Theory · Computer Science 2022-01-05 Tamir Bendory , Dan Edidin , William Leeb , Nir Sharon

We estimate the conditions for detectability of two planets in a 2/1 mean-motion resonance from radial velocity data, as a function of their masses, number of observations and the signal-to-noise ratio. Even for a data set of the order of…

Earth and Planetary Astrophysics · Physics 2009-07-22 C. A. Giuppone , M. Tadeu dos Santos , C. Beaugé , S. Ferraz-Mello , T. A. Michtchenko

It is well known that the computation of accurate trajectories of the Lorenz system is a difficult problem. Computed solutions are very sensitive to the discretization error determined by the time step size and polynomial order of the…

Numerical Analysis · Mathematics 2013-06-13 Benjamin Kehlet , Anders Logg

Accurate tracking of probes is one of the key points of space exploration. Range and Doppler techniques are the most commonly used. In this paper we analyze the impact of the transponder delay, $i.e.$ the processing time between reception…

The prediction of stellar occultations by Transneptunian objects and Centaurs is a difficult challenge that requires accuracy both in the occulted star position as for the object ephemeris. Until now, the most used method of prediction…

The Doppler technique measures the reflex radial motion of a star induced by the presence of companions and is the most successful method to detect exoplanets. If several planets are present, their signals will appear combined in the radial…

Astrophysics · Physics 2010-01-06 Guillem Anglada-Escude , Mercedes Lopez-Morales , John E. Chambers

This paper describes a comprehensive measurement model for the error budget of pulse arrival times with emphasis on intrinsic pulse jitterand plasma propagation effects (particularly interstellar scattering), which are stochastic in time…

Instrumentation and Methods for Astrophysics · Physics 2010-10-20 J. M. Cordes , R. M. Shannon

Noise characterization for pulsar-timing applications accounts for interstellar dispersion by assuming a known frequency-dependence of the delay it introduces in the times of arrival (TOAs). However, calculations of this delay suffer from…

At present, tracking data for planetary missions largely consists of radio observables: range-rate range and angular position. Future planetary missions may use Interplanetary Laser Ranging (ILR) as a tracking observable. Two-way ILR will…

Earth and Planetary Astrophysics · Physics 2018-07-25 Dominic Dirkx , Ivan Prochazka , Sven Bauer , Pieter Visser , Ron Noomen , Leonid I. Gurvits , Bert Vermeersen

The accuracy of orbit determination has a strong impact on the scientific output of the Space VLBI mission RadioAstron. The aim of this work is to improve the RadioAstron orbit reconstruction by means of sophisticated dynamical modelling of…

(abridged)Multiple systems for which the astrometric and spectroscopic orbit are known offer the unique possibility of determining the distance to these systems directly without any assumptions. They are therefore ideal objects for a…

Solar and Stellar Astrophysics · Physics 2022-12-28 Martin Groenewegen

As space traffic continues to increase in the cislunar region, accurately determining the trajectories of objects operating within this domain becomes critical. However, due to the combined gravitational influences of the Earth and Moon,…

Earth and Planetary Astrophysics · Physics 2025-07-31 Seur Gi Jo , Brian Baker-McEvilly , David Canales

We study the limits on how accurately LISA will be able to estimate the parameters of low-mass compact binaries, comprising white dwarfs (WDs), neutron stars (NSs) or black holes (BHs), while battling the amplitude, frequency, and phase…

Astrophysics · Physics 2007-05-23 Aaron Rogan , Sukanta Bose

An understanding of pulsar timing noise offers the potential to improve the timing precision of a large number of pulsars as well as facilitating our understanding of pulsar magnetospheres. For some sources, timing noise is attributable to…

High Energy Astrophysical Phenomena · Physics 2018-02-07 B. Shaw , B. W. Stappers , P. Weltevrede

In the last years, a new generation of interplanetary space missions have been designed for the exploration of the solar system. At the same time, radio-science instrumentation has reached an unprecedented level of accuracy, leading to a…

Earth and Planetary Astrophysics · Physics 2022-01-05 Giacomo Lari , Giulia Schettino , Daniele Serra , Giacomo Tommei

This study applied machine learning models to estimate stellar rotation periods from corrected light curve data obtained by the NASA Kepler mission. Traditional methods often struggle to estimate rotation periods accurately due to noise and…

Solar and Stellar Astrophysics · Physics 2024-09-10 Fatemeh Fazel Hesar , Bernard Foing , Ana M. Heras , Mojtaba Raouf , Victoria Foing , Shima Javanmardi , Fons J. Verbeek

The smooth spin-down of young pulsars is perturbed by two non-deterministic phenomenon, glitches and timing noise. Although the timing noise provides insights into nuclear and plasma physics at extreme densities, it acts as a barrier to…

High Energy Astrophysical Phenomena · Physics 2019-09-25 A. Parthasarathy , R. M. Shannon , S. Johnston , L. Lentati , M. Bailes , S. Dai , M. Kerr , R. N. Manchester , S. Oslowski , C. Sobey , W. van Straten , P. Weltevrede

I discuss the accuracy requirements on numerical relativity calculations of inspiraling compact object binaries whose extracted gravitational waveforms are to be used as templates for matched filtering signal extraction and physical…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Mark Miller

Building initial conditions for generic binary black-hole evolutions without initial spurious eccentricity remains a challenge for numerical-relativity simulations. This problem can be overcome by applying an eccentricity-removal procedure…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Alessandra Buonanno , Lawrence E. Kidder , Abdul H. Mroué , Harald P. Pfeiffer , Andrea Taracchini