Frozen orbits for satellites close to an Earth-like planet
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Publication:1341297
DOI10.1007/BF00691970zbMath0840.70020MaRDI QIDQ1341297
André Deprit, Etienne Deprit, Shannon L. Coffey
Publication date: 24 January 1995
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
analytical solutionsHamiltonianbifurcationphase spaceFourier seriesspherical coordinatesLie transformationcritical inclinationDelaunay variablesequilibria equationssecond order zonal harmonic
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Cites Work
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- Painting the Phase Space Portrait of an Integrable Dynamical System
- The critical inclination in artificial satellite theory
- The elimination of the parallax in satellite theory
- Third-Order Solution to the Main Problem in Satellite Theory
- Theory of an accurate intermediary orbit for satellite astronomy
- Canonical transformations depending on a small parameter
- Mechanized Algebraic Operations (MAO)
- Zonal harmonic perturbations of an accurate reference orbit of an artificial satellite