Progress on error propagation and correction of long-range rockets in disturbing gravity field

2021 ◽  
pp. 095441002110461
Author(s):  
Lei Wang ◽  
Zhiqiang Lin ◽  
Yongjun Peng
Keyword(s):  
Gravity Field ◽  
Long Range ◽  
Error Propagation ◽  
Guidance System ◽  
Deflection Of The Vertical ◽  
Navigation Error ◽  
Propagation Methods ◽  
Assignment Models ◽  
Navigation Errors ◽  
Correction Strategies

Disturbing gravity field is becoming an important factor leading to impact error of long-range rockets. In this paper, the influence mechanism of deflection of the vertical and spatial disturbing gravity on inertial navigation and guidance system are firstly introduced, respectively. Then, the navigation error propagation methods due to disturbing gravity field are reviewed. The fast assignment models of disturbing gravity field, which are available for compensating navigation errors in engineering, are also summarized. After that, the unpowered trajectory error propagation methods and the corresponding guidance correction strategies, as well as potential directions for future efforts, are discussed.

Inertial Surveying Systems — Experience and Prognosis

1980 ◽  
Vol 34 (1) ◽  
pp. 41-53 ◽  
Author(s):  
K. P. Schwarz
Keyword(s):  
Gravity Field ◽  
Error Propagation ◽  
State Of The Art ◽  
Simulation Software ◽  
Propagation Process ◽  
Straight Line ◽  
Imperfect Knowledge ◽  
Quantitative Manner ◽  
Anomalous Gravity ◽  
The Impact

Initially, the principle of inertial positioning is introduced and extensive new data from the Ottawa test net are used to discuss the state of the art. Two major problems presently limit the accuracy of the systems used in production work: heading sensitivity and the imperfect knowledge of the anomalous gravity field. An initial analysis of the new data indicates that the first is a software problem rather than a hardware problem. It appears that positioning of points along an L-shaped traverse can be done with the same accuracy as along a straight line. The second problem is assessed in a quantitative manner using simulation software. The impact of future hardware improvements on the accuracy of positioning is studied by simulating the error propagation process.

scholarly journals A STEPPED HEALTH RISK ASSESSMENT OF ENVIRONMENTAL POLLUTION FOLLOWING MILITARY ACTIONS

2018 ◽  
pp. 61-72
Author(s):  
S. M. Orel ◽  
O. V. Ivashchenko
Keyword(s):  
Risk Assessment ◽  
Decision Making ◽  
Monte Carlo ◽  
Health Risk ◽  
Environmental Pollution ◽  
Error Propagation ◽  
Decision Making Process ◽  
Two Dimensional ◽  
Propagation Methods ◽  
State Of The Environment

Military activities resulting in chemical pollution of the environment could produce a long-term impact on human health, whereas under certain conditions even ultra-low concentrations of some substances might provoke cancer, without noticeable toxic effect. According to modern views on carcinogenesis, the effect of carcinogens on human health does not have a threshold level of concentration. With the current deplorable state of the environment and an urgent need to improve it in view, we argue that there is a critical need for the mechanism that could assess the real state of the environment and would be instrumental for optimal decision-making process aimed at reducing environmental costs. The paper reports a case-study and exemplifies that a stepped health risk assessment is appropriate and helpful in case of environmental pollution following military actions. It also highlights the results of the risk assessment for life of the population living in the vicinity of hostilities. The results of the possible risk calculations concerning the damage non-carcinogenic and carcinogenic compounds could cause to the people living in the vicinity of hostilities were obtained in stages; the simple Monte Carlo error propagation methods and the two-dimensional Monte Carlo procedure were used to estimate the probability of different outcomes due to the intervention of random variables. It is shown that, in comparison with the simple Monte Carlo error propagation methods, the two-dimensional Monte Carlo procedure for estimating the probability of different outcomes provides additional information for the decision-making process, concerning either taking some specific measures or not. The findings of the study are the following: the assessment and subsequent analysis of environmental risk provide much more relevant information for taking an environmental decision, as compared to the threshold concentration methodology. The risk assessment should be carried out in stages, starting from simple (deterministic) to more complex ones (first the simple Monte Carlo error propagation methods, and later, two-dimensional Monte Carlo method), whenever there arise any of the following needs: if it is necessary to establish priorities among the areas, polluters, pollutants, pollutant transfer routes, categories of population and other risk factors; if resources for environmental conservation are limited; if mistaken decisions could generate destructive results; if there is a lack of information necessary to take a competent decision.

scholarly journals Miss analysis in Lambert interceptions with application to a new guidance law

2000 ◽  
Vol 6 (2-3) ◽  
pp. 225-265 ◽  
Author(s):  
Joonhyung Park ◽  
Richard G. Rhinehart ◽  
Pierre T. Kabamba
Keyword(s):  
Closed Form ◽  
Gravity Field ◽  
Relative Velocity ◽  
Trade Off ◽  
Guidance Law ◽  
Miss Distance ◽  
Navigation Errors ◽  
Linear Expression

For an interceptor that follows a Keplerian trajectory, we have obtained a closed-form linear expression for the miss distance in terms of the perturbations of the booster cut-off conditions, where the miss distance reflects the predicted miss at the Point of Closest Approach (PCA) between the interceptor and the target. We use this analysis result to develop a new guidance law which, in the absence of gravity, ensures (1) that the magnitude of the predicted PCA miss decays exponentially, and (2) that the magnitude of the relative velocity is constant. The same guidance law has been applied to interceptors flying in a gravity field. In the presence of random navigation errors in the new guidance law, the numerically simulated results show that increasing the guidance law gain increases the rms of the predicted PCA miss, which results in a degradation of the interception performance. A trade-off in gain magnitude is required to prevent this degradation.

Error propagation methods for LCA—a comparison

2014 ◽  
Vol 19 (7) ◽  
pp. 1445-1461 ◽  
Author(s):  
Reinout Heijungs ◽  
Manfred Lenzen
Keyword(s):  
Error Propagation ◽  
Propagation Methods

scholarly journals Error analysis in gravity aided navigation

2018 ◽  
Vol 160 ◽  
pp. 07006
Author(s):  
Wei Hongwei ◽  
Wu Meiping ◽  
Tie Junbo ◽  
Wang Shenquan
Keyword(s):  
Gravity Field ◽  
Navigation System ◽  
Field Model ◽  
Underwater Vehicles ◽  
Position Error ◽  
Calculation Error ◽  
Gravity Field Model ◽  
Navigation Error ◽  
The Difference ◽  
Navigation Accuracy

For underwater vehicles, because GPS signals are not always available, it is necessary to use inertial navigation system (INS) for navigation. In order to improve the navigation performance, the gravity value calculated by the gravity field model is introduced into the navigation system to reduce the influence of gravity on the navigation accuracy. However, due to the difference between the actual gravity field and the gravity field model, the navigation error caused by gravity field still exists. In this paper, this error is studied based on the theoretical analysis and simulation. The results show that the accuracy of gravity-aided navigation will decrease sharply when the position error of the underwater vehicles reach 9.6 n miles, because at this moment, the calculation error of vertical deflection is the largest. In the simulation experiment, the position error of the gravity-aided navigation system reach 9.6 n miles in 44 hours. Therefore, for the underwater vehicles navigation system, it is recommended that the vehicles should be corrected once every 44 hours.

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