Studying the lifetime of orbits around Moons in elliptic motion

Gomes, Vivian Martins; Domingos, R. C.

doi:10.1007/s40314-015-0258-8

Cited by 13 publications

(8 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This technique is used in the work of [7] to study a hypothetical system, with masses and distances similar to the Earth-Moon system. In this work, the authors looked for the longevity of a probe around a natural satellite with high eccentricity.…”

Section: Introductionmentioning

confidence: 99%

Mapping Long-Term Natural Orbits about Titania, a Satellite of Uranus

et al. 2022

View full text Add to dashboard Cite

Close polar and circular orbits are of great interest for the exploration of natural satellites. There are still no studies in the literature investigating orbits around Titania, the largest satellite of Uranus. In this work, we present results of a set of numerical simulations carried out to obtain long-duration orbits for a probe around Titania. Through an expansion of the gravitational potential up to second order, the asymmetry of the gravitational field due to Titania’s coefficient C22, the zonal coefficient J2, and the gravitational perturbation of Uranus is considered. The analysis of lifetime sensitivity due to possible errors in the values of J2 and C22 is investigated using multiple regression models. Simulations were performed for different eccentricity values, and lifetime maps were constructed. The results show that low-altitude and near-circular orbits have longer lifetimes due to the balance between the disturbance of Uranus and the gravitational coefficients of Titania. The results also show that non-zero values of the longitude of periapsis (ω) and longitude of the ascending node (Ω) are essential to increase the lifetime up to eight times compared to cases where ω=Ω=0∘. We also show that an orbit with eccentricity 10−3 is the most affected by errors in the values of J2 and C22.

show abstract

Section: Introductionmentioning

confidence: 99%

Mapping Long-Term Natural Orbits about Titania, a Satellite of Uranus

et al. 2022

View full text Add to dashboard Cite

show abstract

“…Quasi-periodic orbits located further away can also be found around other bodies of the Solar System, like Mercury, as shown in Ma & Li, (2013). In the Solar System it is also possible to find different types of orbits around moons, as can be seen in Carvalho et al (2012), Gomes & Domingos, (2016), Santos et al (2017) and Cinelli et al (2019). Phobos, the largest and closest moon of the Martian system, has been the main objective of many studies (Gil & Schwartz 2010).…”

Section: Introductionmentioning

confidence: 99%

Searching for Mid-Range Planar Orbits to Observe Deimos

Cavalca

Prado

Gomes

et al. 2019

RMxAA

View full text Add to dashboard Cite

In this paper we search for mid-range planar orbits for a spacecraft traveling in the neighborhood of Deimos. The first task is to perform a numerical search to find and classify mid-range natural orbits around Deimos that are dominated by Mars, using the idea of “Quasi Satellite Orbits” (QSO). The influence of the eccentricity of the orbit of Deimos around Mars and the irregular shape of Mars are considered in the mathematical model, allowing an assessment of their importance. Our approach uses two different initial positions for Deimos in its orbit around Mars, at apoapsis and periapsis. The minimum, maximum, and average Deimos-spacecraft distances are also obtained.

show abstract

“…After that, ref. [18] used the solution obtained by [19] for the three-body elliptical problem and obtained the lifetime for the Earth-Moon system as a function of the initial eccentricities and inclinations of the probe. In [20], lifetime maps were obtained for the Callisto-Jupiter system assuming different values for the eccentricity of the perturbing body, also taking into account the J 2 and the order 2 of the sectoral flattening coefficient, C 22 , of Callisto.…”

Section: Introductionmentioning

confidence: 99%

Mapping Natural Orbits around Io

et al. 2022

View full text Add to dashboard Cite

As the most volcanically active celestial body in the Solar System, Io is a natural satellite of Jupiter due to its proximity to the planet and the fact that it is in mean motion resonance, known as the Laplace resonance, with the natural satellites Europa and Ganymede. This natural satellite is a good candidate to be visited by future missions. In this sense, the present work has the goal of studying and mapping the best initial orbital conditions for orbits around Io, considering the symmetrical or asymmetical perturbative effects of a third body (Jupiter) and the J2 term from the mass configuration of Io. The initial orbital parameters of the probe were investigated through a set of numerical simulations. The results showed that although most orbits around Io have lifetimes of less than 6 months, some regions were found where the initial conditions of the orbits provided satisfactory times for the accomplishment of future missions around Io.

show abstract

Studying the lifetime of orbits around Moons in elliptic motion

Cited by 13 publications

References 30 publications

Mapping Long-Term Natural Orbits about Titania, a Satellite of Uranus

Mapping Long-Term Natural Orbits about Titania, a Satellite of Uranus

Searching for Mid-Range Planar Orbits to Observe Deimos

Mapping Natural Orbits around Io

Contact Info

Product

Resources

About