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The perturbative integral method was applied to quantify the contribution of external forces during a specific interval of time in trajectories of spacecraft around asteroids and under the Luni-solar influence. However, this method has not…

In this paper we examine the possibility of testing the equivalence principle, in its weak form, by analyzing the orbital motion of a pair of artificial satellites of different composition moving along orbits of identical shape and size in…

General Relativity and Quantum Cosmology · Physics 2007-06-14 Lorenzo Iorio

Orbit determination of spacecraft in orbit has been mostly dependent on either GNSS satellite signals or ground station telemetry. Both methods present their limitations, however: GNSS signals can only be used effectively in earth orbit,…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Pedro Rocha Cachim , João Gomes , Rodrigo Ventura

In the distant future, humans will surely fly to Mars. Even today, probes and vehicles are carrying out measurements on the surface of Mars. However, most landings on Mars cannot be carried out with parachutes alone. Instead, landing…

Physics Education · Physics 2019-12-12 Markus Nielbock

The past decade has witnessed a growing interest in lunar exploration missions. The autonomy of lunar surface and in-orbit missions is, however, dependent on accurate and instantaneous navigation services. These services can not be provided…

Signal Processing · Electrical Eng. & Systems 2020-10-20 Filipe Pereira , Daniel Selva

The rotation and orientation of Mars is commonly described using two different sets of angles, namely the Euler angles wrt the Mars orbit plane and the right ascension, declination, and prime meridian location angles wrt the Earth equator…

Earth and Planetary Astrophysics · Physics 2023-09-06 Marie Yseboodt , Rose-Marie Baland , Sébastien Le Maistre

Using methods from symplectic geometry, the second and fifth authors have provided theoretical groundwork and tools aimed at analyzing periodic orbits, their stability and their bifurcations in families, for the purpose of space mission…

Symplectic Geometry · Mathematics 2024-01-26 Cengiz Aydin , Urs Frauenfelder , Otto van Koert , Dayung Koh , Agustin Moreno

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

The five libration points of a sun-planet system are stable or unstable fixed positions at which satellites or asteroids can remain fixed relative to the two orbiting bodies. A moon orbiting around the planet causes a time-dependent…

Earth and Planetary Astrophysics · Physics 2021-10-15 Johannes Reiff , Jonas C. J. Zatsch , Jörg Main , Rigoberto Hernandez

Almost all the planets of our solar system have moons. Each planetary system has however unique characteristics. The Martian system has not one single big moon like the Earth, not tens of moons of various sizes like for the giant planets,…

We have investigated the obliquity evolution of terrestrial planets in habitable zones (at ~ 1AU) in extrasolar planetary systems, due to tidal interactions with their satellite and host star with wide varieties of satellite-to-planet mass…

Astrophysics · Physics 2009-11-11 Keiko Atobe , Shigeru Ida

We use both the conventional and more recently developed methods of cluster analysis to study the data of extra-solar planets. Using the data set with planetary mass M, orbital period P, and orbital eccentricity e, we investigate the…

Astrophysics · Physics 2007-05-23 Ing-Guey Jiang , Li-Chin Yeh , Wen-Liang Hung , Miin-Shen Yang

Normal form stability estimates are a basic tool of Celestial Mechanics for characterizing the long-term stability of the orbits of natural and artificial bodies. Using high-order normal form constructions, we provide three different…

Dynamical Systems · Mathematics 2021-10-13 Irene De Blasi , Alessandra Celletti , Christos Efthymiopoulos

This paper presents synthetic observations of long-lived, coorbiting asteroids of Mercury, Venus, the Earth and Mars. Our sample is constructed by taking the limiting semimajor axes, differential longitudes and inclinations for long-lived…

Astrophysics · Physics 2009-10-31 N. W. Evans , S. A. Tabachnik

Over the course of 3.1 years we determined the position of Mars on 75 dates using a handheld cross staff and two to five bright reference stars of known right ascension and declination on each occasion. On average the observed positions of…

Earth and Planetary Astrophysics · Physics 2019-01-01 Kevin Krisciunas

Saturn's moon Enceladus is an exciting destination for future exploration missions due to the scientifically interesting geyser region located on its South pole. In this work, we compile the different types of science orbit configurations…

Earth and Planetary Astrophysics · Physics 2025-10-15 Spencer Boone , Joan Pau Sanchez Cuartialles , Stéphanie Lizy-Destrez

In this paper, two models of interest for Celestial Mechanics are presented and analysed, using both analytic and numerical techniques, from the point of view of the possible presence of regular and/or chaotic motion, as well as the…

Earth and Planetary Astrophysics · Physics 2024-02-02 Irene De Blasi

The case of the classical Hill problem is numerically investigated by performing a thorough and systematic classification of the initial conditions of the orbits. More precisely, the initial conditions of the orbits are classified into four…

Chaotic Dynamics · Physics 2017-07-07 Euaggelos E. Zotos

As we continue to discover terrestrial exoplanets, many with orbital and planetary characteristics drastically different from anything encountered in our solar system, we are likely to encounter 'exotic' atmospheric transport processes. As…

Earth and Planetary Astrophysics · Physics 2015-11-24 Alejandro Soto

All 4 giant planets in the Solar System host systems of multiple moons, whereas the terrestrial planets only host up to 2 moons. The Earth can capture small asteroids as temporary satellites, which begs the question as to how many moons…

Earth and Planetary Astrophysics · Physics 2022-08-31 Suman Satyal , Billy Quarles , Marialis Rosario-Franco