脉冲星角位置对脉冲模板的影响及其削弱策略

信世军; 郑伟; 王奕迪

doi:10.13700/j.bh.1001-5965.2016.0958

脉冲星角位置对脉冲模板的影响及其削弱策略

doi: 10.13700/j.bh.1001-5965.2016.0958

国防科学技术大学航天科学与工程学院, 长沙 410073

基金项目:

国家自然科学基金 10973048

详细信息

作者简介:
信世军  男, 硕士研究生。主要研究方向:X射线脉冲星导航

郑伟  男, 博士, 教授, 博士生导师。主要研究方向:飞行动力学与控制

王奕迪  男, 博士, 讲师。主要研究方向:X射线脉冲星导航

通讯作者:
郑伟, E-mail: zhengwei@nudt.edu.cn

中图分类号: V448.22⁺4
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出版历程
- 收稿日期: 2016-12-21
- 录用日期: 2017-01-20
- 网络出版日期: 2018-01-20

Impact of pulsar angular position on pulse template and its compensation method

College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China

Funds:

National Natural Science Foundation of China 10973048

More Information

Corresponding author: ZHENG Wei, E-mail: zhengwei@nudt.edu.cn

摘要

摘要:
构建脉冲模板是X射线脉冲星导航的一项关键技术，其精度与脉冲星角位置精度密切相关。基于脉冲模板构建的基本原理，推导得到了脉冲星角位置误差对脉冲模板构建影响的系统误差的年化平均值以及任意弧段积分的解析表达式，分析了脉冲星角位置误差对脉冲模板构建的影响。在此基础上，给出了削弱脉冲星角位置误差影响的方法。通过理论推导和仿真分析，验证了误差削弱方法的有效性，可以为优化X射线脉冲星的观测任务以及X射线脉冲模板的构建提供理论支持。
- X射线脉冲星导航 /
- 脉冲模板 /
- 脉冲星角位置误差 /
- 周年特性 /
- 削弱策略
Abstract:
Recovering pulse template is one key technology of X-ray pulsar-based navigation system. Its precision is closely related to the pulsar angular position. First, this paper briefly introduced the theory of recovering standard profile. Then, the impact of pulsar angular position error on pulse template was analyzed and its analytical formula of annual mean value and the integral for any arc segment were derived. Finally, we proposed a feasible way that can significantly decrease the impact of pulsar angular position error. These research conclusions and simulation analysis verify the effectiveness of error compensation method, which could provide reference for optimizing observation task of X-ray pulsars and recovering X-ray pulse template.
- X-ray pulsar-based navigation /
- pulse template /
- pulsar angular position error /
- anniversary characteristic /
- compensation method

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图 1 历元折叠过程

Figure 1. Epoch folding process

下载: 全尺寸图片幻灯片

图 2 脉冲星角位置误差引起的系统误差

Figure 2. Systom error caused by pulsar angular position error

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图 3 历元累积对脉冲星角位置误差的削弱情况

Figure 3. Pulsar angular position error reduced by epoch accumulation

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表 1 地球轨道根数

Table 1. Orbit elements of the earth

轨道根数	数值
半长轴/AU	0.9999858
偏心率	0.01667835
轨道倾角/(°)	23.44
升交点黄经/(°)	0
近日点黄经/(°)	103.30275

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表 2 脉冲星角位置误差引起的系统误差的最大值和年化平均值

Table 2. Maximum value and annual average of system error caused by pulsar angular position error

脉冲星	Max(Δt)/μs	Δ/(10^－8s)
J0534+2200	2.3388	-2.0555
J1513-5908	1.7748	3.8512
J1846-0258	2.6979	-1.7737
J0540-6919	2.5157	-6.4059
J0835-4510	2.5553	-3.6324
J1824-2452	2.2959	0.9289
J1959-2048	2.6756	-1.6696
J0437-4715	2.8082	-7.1214
J0218+4232	2.6231	-4.2932
J1939+2134	2.9625	-5.1393

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表 3 选取Crab脉冲星的对称时段进行历元累积与非对称情况对比

Table 3. Epoch accumulation results comparison for symmetric and asymmetric cases of Crab pulsar

时段	所选具体时间段/d	脉冲最终系统误差/μs
对称时段	1~90, 241~330	-0.0398
非对称时段	1~120, 241~330	0.6100

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参考文献(15)

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