Up: Proper elements for Earth-crossers
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Among the applications of this algorithm, which are the
goals of our future work, we can list the following ones:
- Secular resonances: to find the location of the main
resonances in the phase space; this requires to compute the proper
frequencies on some regularly spaced grid.
- Proper elements: these could be computed for planet-crossing
objects too. This would allow the
identification of meteor streams and the search for their parent
- Encounter conditions: by computing the mean orbital
elements at the different node crossings, the radians, date and
velocity (see Valsecchi et al. 1998) can be derived; this would allow us to
identify the different encounters with the same meteor stream.
- The collision probability with a planet is also a
function of the encounter conditions and of the qualitative behaviour
of the average orbit (see Gronchi and Milani 1999).