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A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body
المؤلفون المشاركون
de Moraes, Rodolpho Vilhena
Domingos, R. C.
de Almeida Prado, Antonio Fernando Bertachini
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-11، 11ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-07-07
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
The equations for the variations of the Keplerian elements of the orbit of a spacecraft perturbed by a third body are developed using a single average over the motion of the spacecraft, considering an elliptic orbit for the disturbing body.
A comparison is made between this approach and the more used double averaged technique, as well as with the full elliptic restricted three-body problem.
The disturbing function is expanded in Legendre polynomials up to the second order in both cases.
The equations of motion are obtained from the planetary equations, and several numerical simulations are made to show the evolution of the orbit of the spacecraft.
Some characteristics known from the circular perturbing body are studied: circular, elliptic equatorial, and frozen orbits.
Different initial eccentricities for the perturbed body are considered, since the effect of this variable is one of the goals of the present study.
The results show the impact of this parameter as well as the differences between both models compared to the full elliptic restricted three-body problem.
Regions below, near, and above the critical angle of the third-body perturbation are considered, as well as different altitudes for the orbit of the spacecraft.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Domingos, R. C.& de Almeida Prado, Antonio Fernando Bertachini& de Moraes, Rodolpho Vilhena. 2013. A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1008852
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Domingos, R. C.…[et al.]. A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1008852
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Domingos, R. C.& de Almeida Prado, Antonio Fernando Bertachini& de Moraes, Rodolpho Vilhena. A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1008852
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1008852
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