Applications of implicit functions to orbital mechanics problems
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Bézier curves are implicit functions which can describe complicated curves and surfaces. In most of orbital mechanics problems, conic sections are mainly interested. Using the Bézier curves, useful expressions for the orbital mechanics problems are derived. Then, two application examples are considered: (1) Kepler's equation and (2) two point boundary value problems. Analytical approach is performed and arranged in this work and it can be used for potential application in astrodynamics.
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