Geometry Error Analysis in Solar Doppler Difference Navigation for the Capture Phase

Jin, Liu; Ning, Xiaolin; Ma, Xin; Fang, Jiancheng

doi:10.1109/taes.2019.2892659

Cited by 26 publications

(13 citation statements)

References 24 publications

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“…To analyse the sources of errors conveniently, the space rectangular coordinate system is established. We refer to [27], and establish the coordinate system shown in Fig. 1.…”

Section: Review Of the Coordinate For Model Analysismentioning

confidence: 99%

“…The Doppler difference method eliminates the major effects caused by solar rotation. The velocity residual bias remains and is defined as the solar Doppler difference bias [27]. Liu et al [27] has analysed the geometric bias of the solar Doppler difference navigation system, which provides guidance for the subsequent design of the navigation system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modelling and analysis of celestial Doppler difference velocimetry navigation considering solar characteristics

Liu

Wang

Ning

et al. 2020

IET Radar, Sonar & Navigation

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“…To analyse the sources of errors conveniently, the space rectangular coordinate system is established. We refer to [27], and establish the coordinate system shown in Fig. 1.…”

Section: Review Of the Coordinate For Model Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modelling and analysis of celestial Doppler difference velocimetry navigation considering solar characteristics

Liu

Wang

Ning

et al. 2020

IET Radar, Sonar & Navigation

Self Cite

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“…This step is known as phase unwrapping and is necessary before depth can be calculated. In addition to shape measuring, phase unwrapping is also needed in many phase‐related fields such as space navigation [7] and remote sensing [8, 9].…”

Section: Introductionmentioning

confidence: 99%

Absolute phase unwrapping with SVM for fringe‐projection profilometry

Xiang

et al. 2020

IET image process

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“…In response to this problem, two years later, Liu approximated the Mars's moons (Phobos and Deimos) to a point, and treated the Sun as a huge sphere. Under these conditions, Liu established a time dispersion model caused by the solar sphere, and the error analysis of the solar TDOA navigation was carried out (Liu et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Mars's Moons-Induced Time Dispersion Analysis for Solar TDOA Navigation

Liu

Ning³

et al. 2020

J. Navigation

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The time dispersion effect affects the accuracy of solar time difference of arrival (TDOA) navigation. In this celestial autonomous navigation, Mars's moons are reflecting celestial bodies, and their shape affects the TDOA dispersion model. In the modelling process of traditional methods, the moons of Mars (Phobos and Deimos) are regarded as points, which causes the model to be inaccurate. In order to solve these problems, we simplified the Mars's moons into ellipsoids or solid diamonds, and then established a TDOA model with the nonspherical Mars's moons as reflecting celestial bodies through differential geometry and geometric optics. Finally, we analysed the time dispersion caused by the Mars's moons in theory. Theoretical analysis and experiments show that the point model error is 5·66 km, and the 3D model error is within 70 m. Thus, the 3D TDOA model established in this paper is meaningful. In addition, the Sun–Mars-moons–spacecraft angle, solar flare, three-axis length, and attitude of the Mars's moons have a great effect on the dispersion profile, while the Mars's moons-to-spacecraft distance has a small effect.

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Geometry Error Analysis in Solar Doppler Difference Navigation for the Capture Phase

Cited by 26 publications

References 24 publications

Modelling and analysis of celestial Doppler difference velocimetry navigation considering solar characteristics

Modelling and analysis of celestial Doppler difference velocimetry navigation considering solar characteristics

Absolute phase unwrapping with SVM for fringe‐projection profilometry

Mars's Moons-Induced Time Dispersion Analysis for Solar TDOA Navigation

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