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- W2811031089 abstract "Here we discuss the concept of bi-circular orbits and bi-circular orbit perturbations. It is shown how an elliptical orbit can be decomposed into two counter-rotating circular orbits. In this way, orbital dynamics can be approximated geometrically by circular orbits or circular rotations. Two counter-rotating orbits remove the variation of the orbit radius. Bi-circular orbit representation is essentially a linear combination of two harmonic oscillators with an opposite direction of rotation. In Chap. 19, we applied a simple harmonic oscillator to daily estimates of residual Galileo clock parameters. We just looked into the remaining amplitude in the clock parameters that measure the radial orbit error after removing a linear model (time offset and drift removed). Similar results to the circular representation of the effect where obtained when a solution of Hill equations in the radial direction (Colombo 1986) was plotted after removing a linear model (bias and drift) in the radial direction, see Chap. 19. The use of harmonic oscillators leads us also to the synergy or unification in modeling of orbital and rotational dynamics. We will show in the next section an interesting feature of circular orbit representation: that for a Keplerian orbit the velocity vector describes a circle. The velocity vector of the satellite in the presence of any point-like mass will rotate about that object along a circle with a constant radius. Thus an interesting application is in supporting numerical integration." @default.
- W2811031089 created "2018-07-10" @default.
- W2811031089 creator A5018327614 @default.
- W2811031089 date "2018-01-01" @default.
- W2811031089 modified "2023-09-27" @default.
- W2811031089 title "The Concept of Counter-Rotating Circular Orbits" @default.
- W2811031089 cites W2012922286 @default.
- W2811031089 doi "https://doi.org/10.1007/978-3-319-76873-1_24" @default.
- W2811031089 hasPublicationYear "2018" @default.
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