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Exoplanetary science heavily relies on transit depth ($D$) measurements. Yet, as instrumental precision increases, the uncertainty on $D$ appears to increasingly drift from expectations driven solely by photon-noise. Here we characterize…

Earth and Planetary Astrophysics · Physics 2025-10-02 Samson J. Mercier , Julien de Wit , Benjamin V. Rackham

The position of a Martian lander is affected by different aspects of Mars' rotational motions: the nutations, the precession, the length-of-day variations and the polar motion. These various motions have a different signature in a Doppler…

Earth and Planetary Astrophysics · Physics 2017-05-19 Marie Yseboodt , Veronique Dehant , Marie-Julie Peters

The orbital motion of a binary system is characterized by various characteristic temporal intervals which, by definition, are different from each other: the draconitic, anomalistic and sidereal periods. They all coincide in the Keplerian…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Lorenzo Iorio

A substantial improvement in the accuracy of G-dot tests (The dot denotes the time derivative.) would make it realistic to speak in terms of a measurement of G-dot, rather than merely a smaller upper bound on |G-dot|. We show that the…

General Relativity and Quantum Cosmology · Physics 2010-11-29 Alvin J. Sanders , George T. Gillies , Ernst Schmutzer

Shaped laser pulses are a powerful tool to induce population transfer between electronic molecular states, and time-dependent perturbation theory is suitable for a description of such a transfer in weak external fields. The application of…

Mathematical Physics · Physics 2012-05-24 Klaus Renziehausen

Doppler effect and Hubble effect in different models of space-time related to the space-time velocity of an observer are considered. The Doppler effect and Doppler shift frequency parameter are connected with the kinematic characteristics…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sawa Manoff

Kepler will monitor a sufficient number of stars that it is likely to detect single transits of planets with periods longer than the mission lifetime. We show that by combining the exquisite Kepler photometry of such transits with precise…

Astrophysics · Physics 2009-11-13 Jennifer C. Yee , B. Scott Gaudi

High-dimensional time series data exist in numerous areas such as finance, genomics, healthcare, and neuroscience. An unavoidable aspect of all such datasets is missing data, and dealing with this issue has been an important focus in…

Machine Learning · Statistics 2018-02-27 Amin Jalali , Rebecca Willett

Temporal alignment is an inherent task in most applications dealing with videos: action recognition, motion transfer, virtual trainers, rehabilitation, etc. In this paper we dive into the understanding of this task from a geometric point of…

Differential Geometry · Mathematics 2023-03-28 Alice Barbara Tumpach , Peter Kán

Highly accurate real-time localization is of fundamental importance for the safety and efficiency of planetary rovers exploring the surface of Mars. Mars rover operations rely on vision-based systems to avoid hazards as well as plan safe…

Robotics · Computer Science 2019-12-17 Jared Strader , Kyohei Otsu , Ali-akbar Agha-mohammadi

While not detected yet, pairs of exoplanets in the 1:1 mean motion resonance probably exist. Low eccentricity, near-planar orbits, which in the comoving frame follow the horseshoe trajectories, are one of the possible stable configurations.…

Earth and Planetary Astrophysics · Physics 2015-06-19 David Vokrouhlicky , David Nesvorny

In an environmental framework, extreme values of certain spatio-temporal processes, for example wind speeds, are the main cause of severe damage in property, such as electrical networks, transport and agricultural infrastructures.…

Applications · Statistics 2020-09-30 M A Amaral Turkman , K F Turkman , P de Zea Bermudez , S Pereira , P Pereira , M Carvalho

Motivated by the vision of integrating mobile robots closer to humans in warehouses, hospitals, manufacturing plants, and the home, we focus on robot navigation in dynamic and spatially constrained environments. Ensuring human safety,…

In this paper, we present an algorithm for learning time-correlated measurement covariances for application in batch state estimation. We parameterize the inverse measurement covariance matrix to be block-banded, which conveniently…

Robotics · Computer Science 2023-03-14 David J. Yoon , Timothy D. Barfoot

The apparent close encounters of two satellites in the plane of the sky, called mutual approximations, have been suggested as a different type of astrometric observation to refine the moons' ephemerides. The main observables are the central…

Earth and Planetary Astrophysics · Physics 2023-08-01 M. Fayolle , D. Dirkx , P. N. A. M. Visser , V. Lainey

Understanding human perceptions of robot performance is crucial for designing socially intelligent robots that can adapt to human expectations. Current approaches often rely on surveys, which can disrupt ongoing human-robot interactions. As…

The estimation of spatiotemporal data from limited sensor measurements is a required task across many scientific disciplines. The sensor selection problem, which aims to optimize the placement of sensors, leverages innovations in greedy…

Optimization and Control · Mathematics 2022-12-19 Jiazhong Mei , Steven L. Brunton , J. Nathan Kutz

Atmospheres are not spatially homogeneous. This is particularly true for hot, tidally locked exoplanets with large day-to-night temperature variations, which can yield significant differences between the morning and evening terminators --…

Earth and Planetary Astrophysics · Physics 2024-10-21 Matthew M. Murphy , Thomas G. Beatty , Daniel Apai

We present a method for converting a time record of turbulent velocity measured at a point in a flow to a spatial velocity record consisting of consecutive convection elements. The spatial record allows computation of dynamic statistical…

Fluid Dynamics · Physics 2019-06-18 Preben Buchhave , Clara M. Velte

Stellar variability is driven by a multitude of internal physical processes that depend on fundamental stellar properties. These properties are our bridge to reconciling stellar observations with stellar physics, and for understanding the…

Solar and Stellar Astrophysics · Physics 2020-05-21 Kirsten Blancato , Melissa Ness , Daniel Huber , Yuxi Lu , Ruth Angus