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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional Autónoma de México
2017
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| Online Access: | https://www.redalyc.org/articulo.oa?id=57153206004 |
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Table of Contents:
- ANALYSIS OF HANSEN’S INFERIOR AND SUPERIOR PARTIAL ANOMALIES AND THE DIVISION OF THE ELLIPTIC ORBIT INTO TWO SEGMENTS M. A. Sharaf A. S. Saad Física, Astronomía y Matemáticas comets: general Celestial mechanics methods: analytica l In this paper, a novel analysis was established to prove how Hansen’s inferior and superior partial anomalies k and k1 can divide the elliptic orbit into two segments. The analysis depends on the departures of r (for k) and 1/r (for k 1 ) from their minima. By these departures, we can find: (i) Transformations relating the eccentric anomaly to k and the true anomaly to k 1. (ii) Expressions for k and k 1 in terms of the orbital elements. (iii) The interpretation and the intervals of definition of two moduli (X, S) related to k and k 1. (iv) The extreme values of r and the elliptic equations in terms of k and k 1. (v) For r ′ and r ′′, the modulus X as a measure of the asymmetry of r ′ (or r ′′) from r ′′ (or r ′ ), and the modulus S12 as a measure of the asymmetry of r ′ and r ′′ from the minimum value of r. (vi) A description of the segments represented by k and k 1. (vii) The relative position of the radius vector at k = 0 ◦ and k 1 = 180 ◦ . 2017 artículo científico 0185-1101 https://www.redalyc.org/articulo.oa?id=57153206004 en http://www.redalyc.org/revista.oa?id=571 Revista Mexicana de Astronomía y Astrofísica application/pdf Universidad Nacional Autónoma de México Revista Mexicana de Astronomía y Astrofísica (México) Num.2 Vol.53