LIE-POISSON INTEGRATORS FOR A RIGID SATELLITE ON A CIRCULAR ORBIT

Ayhan AYDİN

Makale detayları

LIE-POISSON INTEGRATORS FOR A RIGID SATELLITE ON A CIRCULAR ORBIT

Yazarlar:

Ayhan AYDİN

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2011 Vol.01 Issue 2, pp.150-161

Belge Tipi:

Makale

Yayın Tarihi:

11/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000746315

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

In the last two decades, many structure preserving numerical methods like  Poisson integrators have been investigated in numerical studies. Since the structure  matrices are different in many Poisson systems, no integrator is known yet to preserve  the Poisson structure of any Poisson system. In the present paper, we propose Lie–  Poisson integrators for Lie–Poisson systems whose structure matrix is different from the  ones studied before. In particular, explicit Lie-Poisson integrators for the equations  of rotational motion of a rigid body  the satellite  on a circular orbit around a fixed  gravitational center have been constructed based on the splitting. The splitted parts have  been composed by a first, a second and a third order compositions. It has been shown  that the proposed schemes preserve the quadratic invariants of the equation. Numerical  results reveal the preservation of the energy and agree with the theoretical treatment  that the invariants lie on the sphere in long–term with different orders of accuracy.

Makale detayları

LIE-POISSON INTEGRATORS FOR A RIGID SATELLITE ON A CIRCULAR ORBIT

Yazarlar: Ayhan AYDİN

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2011 Vol.01 Issue 2, pp.150-161

Belge Tipi: Makale

Yayın Tarihi: 11/2011

Belge Dili: İngilizce

Document ID (Org No.): 2000746315

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

Ayhan AYDİN

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2011 Vol.01 Issue 2, pp.150-161

Belge Tipi:

Makale

Yayın Tarihi:

11/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000746315

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147