New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency

المؤلف

Ismail, A. I.

المصدر

Advances in Astronomy

العدد

المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-12، 12ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2020-12-07

دولة النشر

مصر

عدد الصفحات

12

التخصصات الرئيسية

الفيزياء

الملخص EN

In this paper, the problem of the motion of a rigid body about a fixed point under the action of a Newtonian force field is studied when the natural frequency ω=0.5.

This case of singularity appears in the previous works and deals with different bodies which are classified according to the moments of inertia.

Using the large parameter method, the periodic solutions for the equations of motion of this problem are obtained in terms of a large parameter, which will be defined later.

The geometric interpretation of the considered motion will be given in terms of Euler’s angles.

The numerical solutions for the system of equations of motion are obtained by one of the well-known numerical methods.

The comparison between the obtained numerical solutions and analytical ones is carried out to show the errors between them and to prove the accuracy of both used techniques.

In the end, we obtain the case of the regular precession type as a special case.

The stability of the motion is considered by the phase diagram procedures.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Ismail, A. I.. 2020. New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency. Advances in Astronomy،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-986212

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Ismail, A. I.. New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency. Advances in Astronomy No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-986212

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Ismail, A. I.. New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency. Advances in Astronomy. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-986212

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-986212