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We propose two algorithms to provide a full preliminary orbit of an Earth-orbiting object with a number of observations lower than the classical methods, such as those by Laplace and Gauss. The first one is the Virtual debris algorithm,…

Space Physics · Physics 2015-05-14 D. Farnocchia , G. Tommei , A. Milani , A. Rossi

We present an algorithm to perform fuel-optimal stationkeeping for spacecraft in unstable halo orbits with additional constraints to ensure safety in the event of a control failure. We formulate a convex trajectory-optimization problem to…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Fausto Vega , Zachary Manchester , Martin Lo , Ricardo Restrepo

Generalizable manipulation requires that robots be able to interact with novel objects and environment. This requirement makes manipulation extremely challenging as a robot has to reason about complex frictional interactions with…

Robotics · Computer Science 2024-07-08 Yuki Shirai , Devesh K. Jha , Arvind U. Raghunathan

Exploring planetary bodies with lower gravity, such as the moon and Mars, allows legged robots to utilize jumping as an efficient form of locomotion thus giving them a valuable advantage over traditional rovers for exploration. Motivated by…

Robotics · Computer Science 2025-03-06 Jørgen Anker Olsen , Grzegorz Malczyk , Kostas Alexis

In this investigation we treat a special configuration of two celestial bodies in 1:1 mean motion resonance namely the so-called exchange orbits. There exist -- at least -- theoretically -- two different types: the exchange-a orbits and the…

Earth and Planetary Astrophysics · Physics 2017-08-15 Barbara Funk , Rudolf Dvorak , Richard Schwarz

In this paper, we investigate whether Uranus's 98$^{\circ}$ obliquity was a by-product of a secular spin-orbit resonance assuming that the planet originated closer to the Sun. In this position, Uranus's spin precession frequency is fast…

Earth and Planetary Astrophysics · Physics 2021-04-29 Zeeve Rogoszinski , Douglas P. Hamilton

In this paper, we study the behavior of a pair of co-orbital planets, both orbiting a central star on the same plane and undergoing tidal interactions. Our goal is to investigate final orbital configurations of the planets, initially…

Earth and Planetary Astrophysics · Physics 2015-06-16 Adrián Rodríguez , Cristian A. Giuppone , Tatiana A. Michtchenko

Building and maintaining a catalog of resident space objects involves several tasks, ranging from observations to data analysis. Once acquired, the knowledge of a space object needs to be updated following a dedicated observing schedule.…

Numerical Analysis · Mathematics 2022-10-27 Laura Pirovano , Roberto Armellin

The abstract is additional with repect to the paper published in JGCD. Ordinary Earth satellites are usually placed into five categories of special orbits: sun-synchronous orbits, orbits at the critical inclination, frozen orbits, repeating…

Earth and Planetary Astrophysics · Physics 2012-12-05 Xiaodong Liu , Hexi Baoyin , Xingrui Ma

We continue our study of the binary neutron star parameter space by investigating the effect of the spin orientation on the dynamics, gravitational wave emission, and mass ejection during the binary neutron star coalescence. We simulate…

Gravitational lensing events provide unique opportunities to discover and study planetary systems and binaries. Here we build on previous work to explore the role that orbital motion can play in both identifying and learning more about…

Earth and Planetary Astrophysics · Physics 2014-12-25 Rosanne Di Stefano , Ann Esin

In this paper we study the problem of designing periodic orbits for a special class of hybrid systems, namely mechanical systems with underactuated continuous dynamics and impulse events. We approach the problem by means of optimal control.…

Optimization and Control · Mathematics 2017-02-16 Sara Spedicato , Giuseppe Notarstefano

This work investigates different models of rotational dynamics of two rigid bodies with the shape of an ellipsoid, moving under their gravitational influence. The focus of this study is on their behavior, their linear stability, and…

Dynamical Systems · Mathematics 2025-10-28 Adrián P. Bustamante , Alessandra Celletti , Christoph Lhotka

Based on the well-calibrated IBUU transport model, we have studied the dynamical effect of incorporating rigorous angular momentum conservation in each collision of particles with homework setups. The constraint of the rigorous angular…

Nuclear Theory · Physics 2023-01-20 Rong-Jun Liu , Jun Xu

The angle between the stellar spin and the planetary orbit axes (spin-orbit angle) is supposed to carry valuable information on the initial condition of the planet formation and the subsequent migration history. Indeed current observations…

Earth and Planetary Astrophysics · Physics 2015-06-18 Yuxin Xue , Yasushi Suto , Atsushi Taruya , Teruyuki Hirano , Yuka Fujii , Kento Masuda

The early stages of dynamical evolution of planetary systems are often shaped by dissipative processes that drive orbital migration. In multi-planet systems, convergent amassing of orbits inevitably leads to encounters with rational period…

Earth and Planetary Astrophysics · Physics 2015-05-08 Konstantin Batygin

After the companion dynamically plunges through the primary's envelope, the two cores remain surrounded by a common envelope and the decrease of the orbital period $P_\text{orb}$ stalls. The subsequent evolution has never been…

Solar and Stellar Astrophysics · Physics 2023-06-14 Damien Gagnier , Ondřej Pejcha

We study the dynamics of a planet on an orbit inclined with respect to a disc. If the initial inclination of the orbit is larger than some critical value, the gravitational force exerted by the disc on the planet leads to a Kozai cycle in…

Earth and Planetary Astrophysics · Physics 2015-06-11 Jean Teyssandier , Caroline Terquem , John C. B. Papaloizou

Generalizable manipulation requires that robots be able to interact with novel objects and environment. This requirement makes manipulation extremely challenging as a robot has to reason about complex frictional interaction with uncertainty…

Robotics · Computer Science 2023-01-18 Yuki Shirai , Devesh K. Jha , Arvind Raghunathan , Diego Romeres

A problem of determining attainable landing sites on the surface of Venus is an essential part of the Venera-D project aimed to explore the planet using a lander. This problem appears due to the inability for the descent module to land at…

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