EXTENDED SCHUBART AVERAGING

被引:24
作者
MOONS, M
机构
[1] Département de mathématique FUNDP, Namur, B-5000, 8, Rempart de la Vierge
关键词
AVERAGE MOTION; MEAN MOTION RESONANCES; SECULAR RESONANCES;
D O I
10.1007/BF00693099
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The purpose of this paper is the presentation of an integrator for the average motion of an asteroid in mean motion commensurability with Jupiter. The program is valid for any (p + q)/p mean motion commensurability (except when q = 0) and uses a double precision version of DE (Shampine and Gordon 1975) as propagator. The averaged equations of motion of the asteroid are evaluated in a non-singular way for any value of the eccentricities and the inclinations and the orbit of Jupiter is described by the most important terms in Longstop 1B (Nobili et al. 1989). This integrator can be considered as an extension of the well known Schubart Averaging (Schubart 1978) in which Jupiter is moving on a fixed ellipse.
引用
收藏
页码:173 / 186
页数:14
相关论文
共 21 条
[1]  
Bien R., Schubart J., Trojan orbits in secular resonances, Celest. Mech., 34, pp. 425-434, (1984)
[2]  
Ferraz-Mello S., Sato M., The very-high-eccentricity asymmetric expansion of the disturbing function near resonances of any order, Astron. Astrophys., 225, pp. 541-547, (1989)
[3]  
Froeschle C., Scholl H., On the dynamical topology of the Kirkwood gaps, Astron. Astrophys., 48, pp. 389-393, (1976)
[4]  
Froeschle C., Scholl H., A systematic exploration of the three-dimensional asteroidal motion at the 2/1 resonance, Astron. Astrophys., 111, pp. 346-356, (1982)
[5]  
Froeschle, Scholl H., Numerical experiments in the 3/1 and v<sub>6</sub> overlapping resonance region, Celest. Mech., 56, pp. 163-176, (1993)
[6]  
Giffen R., A study of commensurable motion in the asteroid belt, Astron. Astrophys., 23, pp. 387-403, (1973)
[7]  
Jefferys W.H., Standish E.M., Further periodic solutions of the three-dimensional restricted problem. II, The Astronomical Journal, 77, pp. 394-400, (1972)
[8]  
Milani A., Knezevic Z., Secular perturbation theory and calculation of asteroid proper elements, Celest. Mech., 49, pp. 347-411, (1990)
[9]  
Moons M., On the resonant Hamiltonian in the restricted three-body problem, (1993)
[10]  
Morbidelli A., Moons M., Secular resonances in mean motion commensurabilities: the 2/1 and 3/2 cases, Icarus, 102, pp. 316-332, (1993)