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Approximate Analytical Methodology for the Restricted Three-Body and Four-Body Models Based on Polynomial Series
المؤلفون المشاركون
Zhang, Wei
Yang, Xiao-Dong
Qian, Ying-Jing
Yang, Lei-Yu
المصدر
International Journal of Aerospace Engineering
العدد
المجلد 2016، العدد 2016 (31 ديسمبر/كانون الأول 2016)، ص ص. 1-8، 8ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2016-10-19
دولة النشر
مصر
عدد الصفحات
8
الملخص EN
The restricted three-body problem (R3BP) and restricted four-body problem (R4BP) are modeled based on the rotating frame.
The conservative autonomous system for the R3BP and nonautonomous system with period parametric resonance due to the fourth body are derived.
From the vibrational point of view, the methodology of polynomial series is proposed to solve for these problems analytically.
By introducing the polynomial series relations among the three directions of motion, the three-degree-of-freedom coupled equations are transferred into one degree-of-freedom containing the full dynamics of the original autonomous system for the R3BP.
As for the R4BP case, the methodology of polynomial series combined with the iterative approach is proposed.
During the iterative approach, the nonautonomous system can be treated as pseudoautonomous equation and the final polynomial series relations and one-degree-of-freedom system can be derived iteratively.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Qian, Ying-Jing& Yang, Xiao-Dong& Yang, Lei-Yu& Zhang, Wei. 2016. Approximate Analytical Methodology for the Restricted Three-Body and Four-Body Models Based on Polynomial Series. International Journal of Aerospace Engineering،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1105060
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Qian, Ying-Jing…[et al.]. Approximate Analytical Methodology for the Restricted Three-Body and Four-Body Models Based on Polynomial Series. International Journal of Aerospace Engineering No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1105060
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Qian, Ying-Jing& Yang, Xiao-Dong& Yang, Lei-Yu& Zhang, Wei. Approximate Analytical Methodology for the Restricted Three-Body and Four-Body Models Based on Polynomial Series. International Journal of Aerospace Engineering. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1105060
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1105060
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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