http://arxiv.org/abs/2105.03321
This is the translation from Latin of E547 ‘Determinatio facilis orbitae cometae, cuius transitum per eclipticam bis observare licuit’, in which Euler addresses the determination of a comet’s parabolic orbit, with the Sun at the focus, from two astronomical observations from the earth, when the comet crosses the ecliptic at the ascending and descending nodes. The key point of the calculation is the solution of a fourth degree polynomial, from which the determination of the orbital parameters are determined from one of its roots.
S. Bistafa
Mon, 10 May 21
21/60
Comments: 10 pages, 6 figures
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