Extension of the critical inclination |
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| Authors: | Xiaodong Liu Hexi Baoyin Xingrui Ma |
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| Institution: | (1) Département de Mathématique, Faculté de Namur, Rempart de la Vierge 8, 5000 NAMUR, Belgium;(2) Dipartimento di Matematica dell', Università di Milano, Via Saldini 50, 20133 MILANO, Italy; |
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| Abstract: | The critical inclination is of special interest in artificial satellite theory. The critical inclination can maintain minimal
deviations of eccentricity and argument of pericentre from the initial values, and orbits at this inclination have been applied
to some space missions. Most previous researches about the critical inclination were made under the assumption that the oblateness
term J
2 is dominant among the harmonic coefficients. This paper investigates the extension of the critical inclination where the
concept of the critical inclination is different from that of the traditional sense. First, the study takes the case of Venus
for instance, and provides some preliminary results. Then for general cases, given the values of argument of pericentre and
eccentricity, the relationship between the multiplicity of the solutions for the critical inclination and the values of J
2 and J
4 is analyzed. Besides, when given certain values of J
2 and J
4, the relationship between the multiplicity of the solutions for the critical inclination and the values of semimajor axis
and eccentricity is studied. The results show that for some cases, the value of the critical inclination is far away from
that of the traditional sense or even has multiple solutions. The analysis in this paper could be used as starters of correction
methods in the full gravity field of celestial bodies. |
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