Low-altitude, near-polar and near-circular orbits around Europa

Carvalho, Jean Paulo dos Santos; Elipe, A.; Moraes, Rodolpho Vilhena de; Prado, A. F. B. A.

doi:10.1016/j.asr.2011.11.036

Cited by 30 publications

(30 citation statements)

References 21 publications

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“…Some examples are found in: Prado (2003), Scheeres et al (2001), Lara and Russell (2006), Carvalho et al (2010Carvalho et al ( , 2012, Paskowitz and Scheeres (2006a, b).…”

Section: Introductionmentioning

confidence: 96%

Studying the lifetime of orbits around Moons in elliptic motion

Gomes

Domingos

2015

Comp. Appl. Math.

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The main goal of the present paper is to study the lifetime of orbits around moons that are in elliptic motion around their parent planet. The lifetime of the orbits is defined as the time the orbit stays in orbit around the moon without colliding with its surface. The mathematical model used to solve this problem is the second order expansion of the potential of the disturbing planet, assumed to be in an elliptical orbit. The results are presented in maps showing the lifetime of the orbit as a function of its initial inclination and eccentricity. The only perturbation acting on the orbit of the spacecraft is assumed to be the gravity of the planet, so the problem is solved by studying the orbital evolution of the spacecraft perturbed by a third body in an elliptical orbit. The region of inclination above the critical value of the third-body perturbation (around 63 • ) is studied, since below that value the orbits survive for a long time. The influence of the eccentricity of the primaries is also investigated, assuming a hypothetical system that has the same mass parameter and sizes of the Earth-Moon system, but the eccentricity can be in the range 0.0-0.2.

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“…Some examples are found in: Prado (2003), Scheeres et al (2001), Lara and Russell (2006), Carvalho et al (2010Carvalho et al ( , 2012, Paskowitz and Scheeres (2006a, b).…”

Section: Introductionmentioning

confidence: 96%

Studying the lifetime of orbits around Moons in elliptic motion

Gomes

Domingos

2015

Comp. Appl. Math.

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“…Substituindo o potencial perturbador de longo período dado pela equação (7) nas equações planetárias de Lagrange e integrando numericamente usando o software Maple encontramosórbitas congeladas (ver [2,3,5]) em torno de Mercúrio como mostram as Figuras 1-6.…”

Section: Resultsunclassified

Perturbações orbitais sobre uma vela solar

Carvalho¹,

Tresaco²,

Moraes³

et al. 2017

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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Resumo. Vela Solaré um tipo de propulsão que utiliza a pressão de radiação solar para gerar aceleração, ganha impulso ao refletir os fótons. Em teoria, esses fótons irão transferir a sua energia para as velas solares, fazendo com que a nave se movimente. No presente momento as velas solares estão ganhando atenção da comunidade científica já que oferecem a possibilidade de missões de longa distância e baixo custo, o que seria impossível para qualquer outro tipo de nave espacial convencional. Neste trabalho,é analisado a dinâmica de uma vela solar em torno de um planeta. São feitas aplicações para uma vela solar em torno do planeta Mercúrio levando em conta a sua distribuição não uniforme de massa (J 2 , J 3 e C 22 ), a perturbação do terceiro corpo (PTC) e a pressão de radiação solar (PRS) para diferentes altitudes. Encontramosórbitas congeladas para altitudes em torno de 300 km, 500 km e 1000 km que são os valores preditos para a missão BepiColombo que está prevista para visitar Mercúrio nos próximos anos.Palavras-chave. Vela Solar, Pressão de Radiação, BepiColombo, Mercúrio. IntroduçãoAs velas solares, que impulsionam as sondas usando a força dos fótons que incidem sobre uma finíssima película de material reflexivo, são vistas como promissoras pela comunidade científica, pois, em teoria, permitiriam que sondas viajem alem do sistema solar, aproveitando unicamente a luz do Sol e das estrelas. Aqui, neste trabalho,é analisado a dinâmica de uma vela solar (ver referências [7,8]) em torno do planeta Mercúrio. Destacamos que este trabalhoé uma continuação do trabalho apresentado por [4] onde foi sugerido uma análise do efeito do termo C 22 na dinâmica da vela solar. Aquié apresentado uma 1

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“…In the following, we shall use the Delaunay variables for studying the periodic orbits of the Hamiltonian system associated with the Hamiltonian (1), which is called the zonal J 2 + J 3 problem; see [13][14][15][16][17][18] for more details on the Delaunay variables and this astrophysical problem. Thus, if {l, g, k, L, G, K} are the action angle coordinates of Delaunay, where l is the mean anomaly, g is the argument of the periapsis of the unperturbed elliptical orbit measured in the invariant plane, k is the longitude of the ascending node, L is the square root of the major semi-axis of the unperturbed elliptic orbit, G is the modulus of the total angular momentum, and K is the third component of the angular momentum, then the Hamiltonian (1) has the form:…”

Section: Hamiltonian Description Of the Model: The Zonal J 2 + J 3 Prmentioning

confidence: 99%

“…Regarding the term of the potential corresponding to the non-sphericity of the major body (see [14]), we have:…”

Section: Hamiltonian Description Of the Model: The Zonal J 2 + J 3 Prmentioning

confidence: 99%

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Periodic Orbits of Third Kind in the Zonal J2 + J3 Problem

et al. 2019

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In this work, the periodic orbits’ phase portrait of the zonal J 2 + J 3 problem is studied. In particular, we center our attention on the periodic orbits of the third kind in the Poincaré sense using the averaging theory of dynamical systems. We find three families of polar periodic orbits and four families of inclined periodic orbits for which we are able to state their explicit expressions.

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Low-altitude, near-polar and near-circular orbits around Europa

Cited by 30 publications

References 21 publications

Studying the lifetime of orbits around Moons in elliptic motion

Studying the lifetime of orbits around Moons in elliptic motion

Perturbações orbitais sobre uma vela solar

Periodic Orbits of Third Kind in the Zonal J2 + J3 Problem

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