The Problem Of Variable Mass Motion Of Celestial Bodies

This article mainly use function of the perturbation equations and perturbation method to the specific research of solar mass loss of the earth’s orbit with the instantaneous orbital elements.The full text is divided into five chapters:the first chapter mainly introduces the research background, present situation and development of research and put forward the variable of celestial bodies movement quality, and the main work of this paper and specific arrangements. The second chapter introduces the related laws of physics, the related theorem and the basic knowledge of the two body problem. The third chapter introduces the orbit of this more detailed parameter,and combining the relevant knowledge, get the relationship between orbital elements, preliminary calculations for the following basis. The fourth chapter concludes the perturbation equations of simplified dynamic equations by means of variation of constants, com-puted perturbation equations function, reference perturbation method in the theory of perturbation is given for solving steps and the form of solution. The fifth chapter using the perturbation equation and the power series solution to specific research on the impacts of solar mass loss of the earth’s orbit. The sixth chapter with the present research situation of variable quality of the restricted three body problem, and gives some of this problem processing thoughts and ideas.The main idea of the article is the introduction of the orbital elements of the two body problem of geometry in more detail, it is composed of orbital description equation of the orbit. To construct a perturbation equations of motion as a function of the instantaneous orbital elements for reference by means of variation of constants, and the perturbation theory in the perturbation method to calculate the settlement of the solving steps. In the actual research track solar mass loss on the effects of earth’s orbit are given in the form of root number change and corresponding conclusion with the previous and the actual results are consistent, which verifies the feasibility of this idea.The key point of this article is on the orbital equation of constant variation rather than directly to the solution to deal with, which greatly simplifies the oper-ation and solution. This idea also breakthrough on quality change limit, as long as it is nearly linear equations can be established. Finally, the instantaneous orbital elements as a function of the perturbation equations can not limited to the study of the problem of two bodies with variable mass, the theory can be extended to used to study perturbation N body problem, this paper attempts to study the application of the idea of the restricted three body problem of variable quality.