Nodal regression of the Quadrantid meteor stream - an analytic approach

Details Nodal regression of the Quadrantid meteor stream - an analytic approach Nodal regression of the Quadrantid meteor stream - an analytic approach

Jan 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982icar...49..125m&link_type=abstract

Icarus, vol. 49, Jan. 1982, p. 125-134.

Mathematics

12

Eccentric Orbits, Long Term Effects, Orbit Perturbation, Orbital Elements, Quadrantid Meteoroids, Regression Analysis, Bessel Functions, Fourier Series, Jupiter (Planet), Legendre Functions, Orbit Calculation, Meteors, Quadrantid Meteors, Eccentricity, Inclination, Orbits, Data, Mathematical Models, Meteor Streams, Observations, Comparisons, Analysis, Perturbations, Resonance, Diagrams, Regression

Scientific paper

The mean orbit of the Quadrantid meteor stream has a high eccentricity and inclination with an aphelion close to the orbit of Jupiter. The nodal regression rate, a quantity which has been well determined from observations, cannot be calculated with sufficient accuracy using standard low-order expansions of the disturbing function. By using a high-order expansion of the disturbing function, it is shown how the behavior of the longitude of the ascending node of the Quadrantid stream is a result of both secular and resonant effects. The analysis illustrates how the proximity of the stream's orbit to the 2:1 commensurability with Jupiter dominates the short-term variations in orbital elements.

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