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The case of the planar circular restricted three-body problem where one of the two primaries has a stronger gravitational field with respect to the classical Newtonian field is investigated. We consider the case where two primaries have the…

Chaotic Dynamics · Physics 2017-09-28 Euaggelos E. Zotos

This study focuses on the long-term evolution of two bodies in nearby initially coplanar orbits around a central dominant body perturbed by a fourth body on a distant Keplerian orbit. Our previous works that considered this setup enforced…

Astrophysics of Galaxies · Physics 2024-05-17 Myank Singhal , Ladislav Šubr , Jaroslav Haas

Starting from the Hamiltonian representation of the dynamics in \cite{rosengren2015chaos,colombo2019long}, this work proposes an innovative procedure to design fully-analytical maneuvers for post-mission disposal of HEOs satellites,…

Earth and Planetary Astrophysics · Physics 2024-01-29 Francesca Scala , Ioannis Gkolias , Camilla Colombo

In this paper we present a mission architecture and a robotic platform, the Shapeshifter, that allow multi-domain and redundant mobility on Saturn's moon Titan, and potentially other bodies with atmospheres. The Shapeshifter is a collection…

Robotics · Computer Science 2020-02-04 Andrea Tagliabue , Stephanie Schneider , Marco Pavone , Ali-akbar Agha-mohammadi

This article reviews the different mechanisms affecting the orbits of trans-Neptunian objects, ranging from internal perturbations (planetary scattering, mean-motion resonances, secular effects) to external perturbations (galactic tides,…

Earth and Planetary Astrophysics · Physics 2020-01-22 Melaine Saillenfest

We consider surfaces with a double elliptic fibration, with two sections. We study the orbits under the induced translation automorphisms proving that, under natural conditions, the finite orbits are confined to a curve. This goes in a…

Number Theory · Mathematics 2023-02-13 Pietro Corvaja , Jacob Tsimerman , Umberto Zannier

Frozen orbits are always important foci of orbit design because of their valuable characteristics that their eccentricity and argument of pericentre remain constant on average. This study investigates quasi-circular frozen orbits and…

Earth and Planetary Astrophysics · Physics 2011-08-25 Xiaodong Liu , Hexi Baoyin , Xingrui Ma

We study the stability regions and families of periodic orbits of two planets locked in a co-orbital configuration. We consider different ratios of planetary masses and orbital eccentricities, also we assume that both planets share the same…

Earth and Planetary Astrophysics · Physics 2015-05-18 C. A. Giuppone , C. Beaugé , T. A. Michtchenko , S. Ferraz-Mello

A new technique that utilizes surface integrals to find the force, torque and potential energy between two non-spherical, rigid bodies is presented. The method is relatively fast, and allows us to solve the full rigid two-body problem for…

Earth and Planetary Astrophysics · Physics 2021-10-22 Alex Ho , Margrethe Wold , John T. Conway , Mohammad Poursina

In a realistic scenario, the evolution of the rotational dynamics of a celestial or artificial body is subject to dissipative effects. Time-varying non-conservative forces can be due to, for example, a variation of the moments of inertia or…

Earth and Planetary Astrophysics · Physics 2017-03-24 Ioannis Gkolias , Christos Efthymiopoulos , Giuseppe Pucacco , Alessandra Celletti

We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Michael D. Hartl , Alessandra Buonanno

A method for asteroid deflection that makes use of a spacecraft moving back and forth on a segment of an appropriate Keplerian orbit about the asteroid is described and evaluated. It is shown that, on average, the spacecraft describing such…

Space Physics · Physics 2017-04-05 Yohannes Ketema

We deal with the presence of topological defects in models for two real scalar fields. We comment on defects hosting topological defects, and we search for explicit defect solutions using the trial orbit method. As we know, under certain…

High Energy Physics - Theory · Physics 2009-11-07 D. Bazeia , W. Freire , L. Losano , R. F. Ribeiro

The main aim of this work was to give constructive proof of stable orbital motions existence in the systems of bodies, which interact only by magnetic forces.

Mathematical Physics · Physics 2012-05-21 Stanislav S. Zub

The problem of minimizing the transfer time between periodic orbits in the Earth-Moon elliptic restricted three-body problem using a multi-mode propulsion system is considered. By employing the true anomaly on the primary orbit as the…

Optimization and Control · Mathematics 2025-09-10 George V. Haman , Anil V. Rao

The objective of this paper is to study the tidally locked 3:2 spin-orbit resonance of Mercury around the Sun. In order to achieve this goal, the effective potential energy that determines the spinning motion of an ellipsoidal planet around…

Earth and Planetary Astrophysics · Physics 2022-03-18 Christopher Clouse , Andrea Ferroglia , Miguel C. N. Fiolhais

The concept of Space Manifold Dynamics is a new method of space research. We have applied it along with the basic idea of the method of Ott, Grebogi and York (OGY method) to stabilize the motion of a spacecraft around the triangular…

Earth and Planetary Astrophysics · Physics 2015-06-23 Judit Slíz , Áron Süli , Tamás Kovács

A small variation of the circular shape of the hodograph theorem states that for every elliptical solution of the two-body problem, it is possible to find an appropriate inertial frame such that the speed of the bodies is constant. We use…

Earth and Planetary Astrophysics · Physics 2021-09-27 Carman Cater , Oscar Perdomo , Amanda Valentine

We study circular orbits that are tilted with respect to the equatorial plane around a Kerr black hole. We write the equations for the parameters of a tilted circular orbit in terms of the orbit's radius and the Carter constant, or…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Abdallah M. Al Zahrani

The origins of Uranus and Neptune are not fully understood. Their inclined rotation axes -- obliquities -- suggest that they experienced giant impacts during their formation histories. Simulations modeling their accretion from giant impacts…

Earth and Planetary Astrophysics · Physics 2024-12-05 Leandro Esteves , André Izidoro , Othon C. Winter
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