The Research Of The Algorithm In Calculating Orbital Equation

With the development of space technology, space probe have been used in many fields including telecommunication, weather, resource prove, environment inspect, navigation orientation, science research, military affairs. Space technology have been involved a large systems engineering, including orbit design, orbit control, orbit menstruation, and the core is the orbit problem. Because the differential equation which describes the space probe movement is very complex, we always use numerical value and parse solutions to solute the equation. But except some situations, we can not give the strict solution. Improving the computing precision and improving the computing efficiency have many practical values. So we research the valuable arithmetic to solute practical problems. This paper focuses on some arithmetic, and combining some mathematics theory to give a new arithmetic. And talk about the variable choice and changing the pedometer.This paper first analyses the problem between two secondary planets which familiar with sputnik's basic mechanics model. And give the uncoiling of the problem. In this paper we introduce the arithmetic in common use in detailed. In the basic of the content, major subject in this thesis are discussed as follows:1. In this paper a more precise algorithm (WA-C) in calculating orbital equation was given, on the base of classical Adams-Cowell algorithm. WA-C is revised by using extrapolation technology to improve precision. An example was tested through A-C, KSG, ACm and WA-C algorithm, and comparison was given. The test result shows that WA-C algorithm is more efficient to improve precision in orbital equation calculation then other methods.2. The correctness of variable's choice effect at computing efficiency and precision, in this paper we analyze the variable's choice about numerical value. We introduce three ways about variable's choice. And discuss the conversion between them. We use the numerical value to validate using the orbit root to compute, and this computing has advantage.3. When using numerical value method to compute space probe differential equation, if we also use the method of confirming pedometer, then the solution will affect in the precision. In this paper, the solution of changing pedometer has been talked about, including the single step method and more step method. It is easy to change step in single step method, and in this paper give a new way about using curvature. It has some trouble to change step in more step method, because if we change the step it will be initialization again, it is not very well. we solute this problem by proportional spacing. In the end, we use practical examples to prove the efficiency.