Orbital Dynamic Admittance and Earth Shadow
| Autor: | Scott Kindl, Liam M. Healy, Christopher R. Binz |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
020301 aerospace & aeronautics Point source Pinch point Computation Mathematical analysis Earth's shadow Aerospace Engineering 02 engineering and technology Orbital mechanics 01 natural sciences symbols.namesake 0203 mechanical engineering Space and Planetary Science 0103 physical sciences Jacobian matrix and determinant symbols 010303 astronomy & astrophysics Reciprocal Space debris |
| Zdroj: | The Journal of the Astronautical Sciences. 67:427-457 |
| ISSN: | 2195-0571 0021-9142 |
| DOI: | 10.1007/s40295-018-00144-1 |
| Popis: | The effects of orbital dynamics on a velocity distribution from a point source — for example, a fragmentation — may be studied by Housen’s method. This technique permits the computation of a spatial density due to the velocity distribution as the sum over all routes between the source point and any point in space of the velocity density divided by the absolute value of the Jacobian determinant of the propagation map. The determination of all routes constitute finding all Lambert (orbital two point boundary value problem) solutions for the two points over a given elapsed time. In order to understand the observed density structures better, the dynamic admittance is introduced. It is the sum of the reciprocal absolute Jacobian determinants spanning all possible routes and is independent of the initial velocity distribution. The bands, pinch point and other features seen in the dynamic admittance plots are analyzed. The effects of the earth in reducing the number of routes, thereby casting a dynamic shadow, are demonstrated |
| Databáze: | OpenAIRE |
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