An analytical approach to retrieve the effects of a non-coplanar disturbing body
| Autor: | Emiliano Ortore, Christian Circi, Marco Cinelli |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
020301 aerospace & aeronautics Solar System Ground track Plane (geometry) Applied Mathematics Astronomy and Astrophysics 02 engineering and technology Extension (predicate logic) 01 natural sciences Computational Mathematics Classical mechanics 0203 mechanical engineering Space and Planetary Science Primary (astronomy) Coincident Modeling and Simulation 0103 physical sciences Orbit (dynamics) Orbiting probes Periodic orbit Planetary observation mission Third body perturbation Astrophysics::Earth and Planetary Astrophysics 010303 astronomy & astrophysics Mathematical Physics Non coplanar |
| Zdroj: | Celestial Mechanics and Dynamical Astronomy. 124:163-175 |
| ISSN: | 1572-9478 0923-2958 |
| DOI: | 10.1007/s10569-015-9658-8 |
| Popis: | The determination of analytical expressions which, including the main perturbative effects, allow the retrieval of the orbit elements of a probe represents an important requirement in designing science trajectories. One of these perturbations is given by the third body attraction. The case in which the perturbing body moves on a plane coincident with the equatorial plane of the primary body has been investigated in previous studies and equations able to provide the temporal evolution of the orbit elements have been determined and applied to the main moons of the Solar System. In this paper an extension of this topic has been carried out and equations which allow the determination of the orbit evolution have been analytically retrieved in the general case in which one or more perturbing bodies describe elliptical and inclined orbits with respect to the equatorial plane of the primary. Then, introducing these equations into the periodicity condition for the probe ground track, and considering the $$J_{2}$$ and $$J_{4}$$ effects coming from the primary body, an equation able to provide repeating ground track orbits has been determined. |
| Databáze: | OpenAIRE |
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