Palacián Subiela, Jesús Francisco

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https://academica-e.unavarra.es/handle/2454/49728

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Palacián Subiela

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Jesús Francisco

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Estadística, Informática y Matemáticas

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InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas

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0000-0002-0974-6656

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88482

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1715

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End date: 2009 × Subject: Asteroids ×

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    PublicationOpen Access
    Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites
    (Hindawi Publishing Corporation, 2009) Lara, Martín; Palacián Subiela, Jesús Francisco; Ingeniería Matemática e Informática; Matematika eta Informatika Ingeniaritza
    Frozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions of corresponding quasi-periodic solutions in the nonaveraged problem are computed straightforwardly. Moreover, the method provides the explicit equations of the transformation that connects the averaged and nonaveraged models. A fourth-order analytical theory is necessary for the accurate computation of quasi-periodic frozen orbits.