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Вычисление члена пятого порядка разложения силовой функции двух эллипсоидальных тел по обратным степеням их взаимного расстояния

Transactions of IAA RAS, issue 4, 260–271 (1999)

Keywords: binary asteroids, triaxial ellipsoid, gravitational potential, spherical harmonics

Abstract

The force function of gravitational interaction of two ellipsoids is presented in the form of inverse power series of mutual distance between the bodies. The method developed in the sixties by G. N. Duboshin has been used with this aim. The scheme of calculation of the fifth order term for homogeneous triaxial ellipsoids in addition to well-known terms of the first and the third orders is developed in detail. To describe the orientation of the bodies in space the direction cosines of their principal central inertial axes are used. The terms found are employed to form the equations of prograde-rotational motion of the bodies.

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N. Zheleznov. Вычисление члена пятого порядка разложения силовой функции двух эллипсоидальных тел по обратным степеням их взаимного расстояния // Transactions of IAA RAS. — 1999. — Issue 4. — P. 260–271.

@article{zheleznov1999,
  abstract = {The force function of gravitational interaction of two ellipsoids is presented in the form of inverse power series of mutual distance between the bodies. The method developed in the sixties by G. N. Duboshin has been used with this aim. The scheme of calculation of the fifth order term for homogeneous triaxial ellipsoids in addition to well-known terms of the first and the third orders is developed in detail. To describe the  orientation of the bodies in space the direction cosines of their principal central inertial axes are used.   The terms found  are employed to form the equations of prograde-rotational motion of the bodies.},
  author = {N. Zheleznov},
  issue = {4},
  journal = {Transactions of IAA RAS},
  keyword = {binary asteroids, triaxial ellipsoid, gravitational potential, spherical harmonics},
  note = {russian},
  pages = {260--271},
  title = {Вычисление члена пятого порядка разложения силовой функции двух эллипсоидальных тел по обратным степеням их взаимного расстояния},
  url = {http://iaaras.ru/en/library/paper/244/},
  year = {1999}
}

TY  - JOUR
TI  - Вычисление члена пятого порядка разложения силовой функции двух эллипсоидальных тел по обратным степеням их взаимного расстояния
AU  - Zheleznov, N.
PY  - 1999
T2  - Transactions of IAA RAS
IS  - 4
SP  - 260
AB  - The force function of gravitational interaction of two ellipsoids is
presented in the form of inverse power series of mutual distance
between the bodies. The method developed in the sixties by G. N.
Duboshin has been used with this aim. The scheme of calculation of
the fifth order term for homogeneous triaxial ellipsoids in addition
to well-known terms of the first and the third orders is developed in
detail. To describe the  orientation of the bodies in space the
direction cosines of their principal central inertial axes are used.
The terms found  are employed to form the equations of prograde-
rotational motion of the bodies.
UR  - http://iaaras.ru/en/library/paper/244/
ER  -