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一种火星大气密度三维解析模型
秦同1,2, 王硕1,2, 高艾1,2, 朱圣英1,2, 崔平远1,2
1.北京理工大学深空探测技术研究所,北京100081;2.飞行器动力学与控制教育部重点实验室,北京100081
摘要:
根据火星大气数据库,建立了以高度和经纬度为输入的火星三维解析大气密度模型;在竖直方向上, 采用分层指数模型;在水平方向上,将指数模型中的参考密度和参考高度视为经纬度的多项式函数,并通过最小二 乘曲面拟合得到了多项式系数。相比传统的指数模型,三维指数模型不仅反映了火星大气密度随高度的变化规 律,而且能够体现出大气密度在水平方向上的变化。与大气数据库相比,三维密度模型具有解析形式,计算速度 快,仿真过程中只需存储简单的多项式系数即可实现密度的实时计算和调用,适用于地面实时仿真。
关键词:  火星大气密度;三维解析模型;分层指数模型;多项式曲面拟合
DOI:
分类号:P185.3
基金项目:国家重点基础研究发展计划(2012CB720000)
Three-Dimensional Analytical Model for Mars Atmospheric Density
QIN Tong1,2, WANG Shuo1,2, GAO Ai1,2, ZHU Shengying1,2, CUI Pingyuan1,2
1.Institute of Deep Space Exploration Technology,Beijing Institute of Technology,Beijing100081,China;2.Key Laboratory of Dynamicsand Control of Flight Vehicle,Ministry of Education,Beijing100081,China
Abstract:
This paper utilizes the data from the Mars atmosphere database and establishes a three-dimensional analytical atmospheric density model of Mars with the altitude,longitude and latitude as its input..The layered exponential model is adopted vertically.At horizontal direction,the reference density and reference altitude are assumed to be polynomial functions of longitude and latitude.The coefficients of the polynomial are obtained by surface fitting which is based on the method of least squares.Compared with the traditional exponential density model,the3-D model proposed in this paper expresses the variation of density with not only altitude but also long itude and latitude.Compared with the Mars atmosphere data,the 3-D model has an analytical formulation and requires less calculation time.As long as the polynomial coefficients are stored in simulation,the real-time calculation and calling of the atmospheric density can be achieved,which applies to the ground real-time simulation.
Key words:  Mars atmospheric density;3-D analytical model;layered exponential model;polynomial surfacefitting