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Dual-Satellite Lunar Global Navigation System Using Multi-Epoch Double-Differenced Pseudorange Observations
 
 
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Correction

Correction: Tanaka, T., et al. Dual-Satellite Lunar Global Navigation System Using Multi-Epoch Double-Differenced Pseudorange Observations. Aerospace 2020, 7, 122

1
Department of Aeronautics and Astronautics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
2
Department of Astronautics and Aeronautics, Chubu University, 1200 Matsumoto-cho, Kasugai, Aichi 487-8501, Japan
*
Author to whom correspondence should be addressed.
Submission received: 12 November 2020 / Accepted: 17 November 2020 / Published: 30 December 2020
The authors regret that this paper [1] contains typographical errors in the sentence between Equation (16) and Equation (17), as well as in Equations (18), (20), (21), (34), (36) and (37), with respect to the point that they use the wrong notations t 1 t N , while the correct notations are t k t k + N 1 . The correct form is shown in Table 1.
The error, not noticed during the proofreading process, was a simple mistype. The analytical developments and the results following these equations are in no way adversely affected by this typo. The authors would like to apologize for any inconvenience caused. The manuscript will be updated and the original will remain online on the article webpage.

Reference

  1. Tanaka, T.; Ebinuma, T.; Nakasuka, S. Dual-Satellite Lunar Global Navigation System Using Multi-Epoch Double-Differenced Pseudorange Observations. Aerospace 2020, 7, 122. [Google Scholar] [CrossRef]
Table 1. Correct form of equations.
Table 1. Correct form of equations.
PagePartPublished FormCorrected Form
6Sentence between Equations (16) and (17) t 1 t N t k t k + N 1
6Equation (18) R = [ R ( t 1 ) R ( t N ) ] T R = [ R ( t k ) R ( t k + N 1 ) ] T
6Equation (20) w = [ ω ( t 1 ) ω ( t 1 ) ] T w = [ ω ( t k ) ω ( t k + N 1 ) ] T
6Equation (21) G =
[ r ( t 1 ) x r ( t 1 ) y r ( t 1 ) z r ( t N ) x r ( t N ) y r ( t N ) z ]
G =
[ r ( t k ) x r ( t k ) y r ( t k ) z r ( t k + N 1 ) x r ( t k + N 1 ) y r ( t k + N 1 ) z ]
8Equation (34) R = [ R ( t 1 ) R ( t N ) ] T R = [ R ( t k ) R ( t k + N 1 ) ] T
8Equation (36) w = [ ω ( t 1 ) ω ( t 1 ) ] T   w = [ ω ( t k ) ω ( t k + N 1 ) ] T
8Equation (37) G = [ r ( t 1 ) x r ( t 1 ) y r ( t N ) x r ( t N ) y ]     G = [ r ( t k ) x r ( t k ) y r ( t k + N 1 ) x r ( t k + N 1 ) y ]    
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MDPI and ACS Style

Tanaka, T.; Ebinuma, T.; Nakasuka, S. Correction: Tanaka, T., et al. Dual-Satellite Lunar Global Navigation System Using Multi-Epoch Double-Differenced Pseudorange Observations. Aerospace 2020, 7, 122. Aerospace 2021, 8, 8. https://0-doi-org.brum.beds.ac.uk/10.3390/aerospace8010008

AMA Style

Tanaka T, Ebinuma T, Nakasuka S. Correction: Tanaka, T., et al. Dual-Satellite Lunar Global Navigation System Using Multi-Epoch Double-Differenced Pseudorange Observations. Aerospace 2020, 7, 122. Aerospace. 2021; 8(1):8. https://0-doi-org.brum.beds.ac.uk/10.3390/aerospace8010008

Chicago/Turabian Style

Tanaka, Toshiki, Takuji Ebinuma, and Shinichi Nakasuka. 2021. "Correction: Tanaka, T., et al. Dual-Satellite Lunar Global Navigation System Using Multi-Epoch Double-Differenced Pseudorange Observations. Aerospace 2020, 7, 122" Aerospace 8, no. 1: 8. https://0-doi-org.brum.beds.ac.uk/10.3390/aerospace8010008

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