Resonance in the earth-moon system around the sun including earth’s equatorial ellipticity

被引：0

作者：

Sushil Yadav

Rajiv Aggarwal

机构：

[1] University of Delhi,Maharaja Agrasen College, Department of Mathematics

[2] University of Delhi,Sri Aurobindo College, Department of Mathematics

来源：

Astrophysics and Space Science | 2013年 / 348卷

关键词：

Earth-moon system; Earth’s equatorial ellipticity; Resonances;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We have investigated the resonances in the earth-moon system around the sun including earth’s equatorial ellipticity. The resonance resulting from the commensurability between the mean motion of the moon and Γ (angle measured from the minor axis of the earth’s equatorial ellipse to the projection of the moon on the plane of the equator) is analyzed. The amplitude and the time period of the oscillation have been determined by using the procedure of Brown and Shook. We have shown the effects of Γ on the amplitude and the time period of the resonance oscillation using the data of the moon. It is observed that the amplitude decreases and the time period also decreases as Γ increases from 0∘ to 45∘.

引用

页码：367 / 375

页数：8

共 14 条

[1]

Abd EI-Salam F.A.(2008)Analysis of lunisolar resonances in an artificial satellite orbits Appl. Math. Sci. 2 1013-1021

[2]

Abdel-Aziz Y.A.(1986)The motion of a geosynchronous satellite-I Indian J. Pure Appl. Math. 17 1438-1452

[3]

EI-Saftawy M.(1999)Lunisolar apsidal resonances at low satellite orbits Celest. Mech. Dyn. Astron. 74 253-274

[4]

Radwan M.(2000)The prograde C7 resonance for Earth and Mars satellite orbits Celest. Mech. Dyn. Astron. 77 201-214

[5]

Bhatnagar K.B.(2001)On the coupling of lunisolar resonances for Earth satellite orbits Celest. Mech. Dyn. Astron. 80 1-20

[6]

Mehra M.(1962)Luni-solar perturbations of the orbit of an Earth satellite Geophys. J. R. Astron. Soc. 6 271-291

[7]

Breiter S.(1980)Earth satellite orbits with resonant lunisolar perturbations. 1. Resonances dependent only on inclination Proc. R. Soc. Lond. Ser. A 372 243-264

[8]

Breiter S.(2002)Résonance caused by the Luni-Solar Attractions on a Satellite of the Oblate Earth Astrophys. Space Sci. 282 551-562

[9]

Breiter S.(2013)Resonance in a geo-centric satellite due to Earth’s equatorial ellipticity Astrophys. Space Sci. undefined undefined-undefined

[10]

Cook G.E.(undefined)undefined undefined undefined undefined-undefined

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