2018
DOI: 10.1155/2018/7547128
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The Influence of Orbital Element Error on Satellite Coverage Calculation

Abstract: This paper studies the influence of orbital element error on coverage calculation of a satellite. In order to present the influence, an analysis method based on the position uncertainty of the satellite shown by an error ellipsoid is proposed. In this error ellipsoid, positions surrounding the center of the error ellipsoid mean different positioning possibilities which present three-dimensional normal distribution. The possible subastral points of the satellite are obtained by sampling enough points on the sur… Show more

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Cited by 7 publications
(7 citation statements)
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“…The covariance matrix D XX of six orbital elements is expressed as Equation (11). Therefore, the uncertainty matrix D rr can be calculated according to the covariance propagation rate [29]: where each element of the matrix A is the partial derivative approximate of position coordinates ðx, y, zÞ with respect to each variable of six orbital elements in the geocentric inertial coordinate system at the expected value μ X , as shown in Equation (9). Matrix A can be expressed as follows:…”
Section: Calculation Of Uncertaintymentioning
confidence: 99%
“…The covariance matrix D XX of six orbital elements is expressed as Equation (11). Therefore, the uncertainty matrix D rr can be calculated according to the covariance propagation rate [29]: where each element of the matrix A is the partial derivative approximate of position coordinates ðx, y, zÞ with respect to each variable of six orbital elements in the geocentric inertial coordinate system at the expected value μ X , as shown in Equation (9). Matrix A can be expressed as follows:…”
Section: Calculation Of Uncertaintymentioning
confidence: 99%
“…A satellite crosses the earth equator twice a day. Satellite completes its' 12 hours' revolution over the northern hemisphere and another 12 hours over the southern hemisphere due to the inclination angle [8,[11][12][13]. Figure 3 shows satellite inclination angle instantaneous values for 1 o , 3 o , and 5 o inclination over one revolution period.…”
Section: Inclination Angle and Coverage Oscillation Relationmentioning
confidence: 99%
“…NSSK maneuver controls the inclination angle and consumes much more propellant than EWSK maneuvers. It is about 20-24 times more propellant consumption than EWSK maneuvers [6][7][8]. EWSK maneuver controls longitudinal drift and eccentricity.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…STK calculation results were used as reference test to verify the high accuracy of the model. Song Zhiming constructed the framework and formal system of the theoretical framework of constellation to ground coverage [7,8] . Yang Yaqi explained the analysis of the satellite arc by radar from two aspects: the study of radar detection power and the prediction of satellite transit, and explained in detail the search approximation algorithm and the calculation of the satellite detection area with payload [9] .…”
Section: Introductionmentioning
confidence: 99%