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A comet is discovered in a heliocentric position given by the vector r = (0,0,1) AU...

A comet is discovered in a heliocentric position given by the vector r = (0,0,1) AU and with a heliocentric velocity v = (- 1,0,1) x 0,03 AU / day respecting an ecliptic rectangular coordinate system. Find the elements (a, e, i) of the comet's orbit.

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