TL;DR: Cassini et al. as mentioned in this paper reported a solar distance of 13,740 and 14,656 Earth radii, corresponding to solar parallaxes of 15 and 14 for the transit of Venus across the Sun.
Abstract: 4. C. C. Gillispie (ed.), Dictionary ofscientific biography, xi (New York, 1975), 525-7, p. 526. 5. S. Debarbat, \"La Qualite des donnees d'observations traitees par Roemer\", in Taton, Roemer et la vitesse de la lumiere, 143-51, p, 150. 6. G. D. Cassini, Les Elemens de I'astronomie verifiez par Monsieur Cassini par Ie rapport de ses tables aux observations de M. Richer faites en /'Isle de Cayenne (Paris, 1684). Reprinted in Memoires de I'Academie royale des Sciences, depuis 1666 jusqu'a 1699, 9 vols numbered iii-xi (Paris, 1729-33), viii, 53-117, pp. 113-17. 7. J. Flamsteed, \"Johannis F1amstedii Derbiensis Angli, ad Clarissimum Cassinum Epistola\", Philosophical transactions, viii, no. 96 (21 July 1673),6094-6[1]00, pp. 6099-6[1]00. 8. Cassini to Flamsteed, 1 August 1673, The correspondence of Henry Oldenburg, ed. by A. R. Hall and M. B. Hall (Madison and London, 1963), x, 107-9. 9. Roemer, \"Demonstration\", 233-5. 10. Horrocks arrived at 14\" in his Venus in Sole visa (see The transit of Venus across the Sun, tr. by A. B. Whatton (London, 1859),202-16). In the various manuscript pieces later assembled by John Wallis under the title Astronomia Kepleriana defensa & promota Horrocks used 15\" and 14\", see Opera posthuma (London, 1673), 160, 164. Wendel in arrived at solar distances of 13,740 and 14,656 Earth radii, corresponding to solar parallaxes of 15\" and 14\", see G. B. Riccioli, Almagestum novum (Bologna, 1651), i, 109. Streete followed Horrocks and chose 15\" as his solar parallax, see Astronomia Carolina (London, 1661), 12. II. Picard, Mesure de la Terre (Paris, 1671). Reprinted in Memoires (see ref. 6), vii, part 1, 131-90, p. 176. 12. Ibid.
TL;DR: In this paper, a satellite-based augmentation system applied star date and star clock correction parameter and spatial signal integrity parameter method is proposed to provide a kind of precision approach service by its sole reliance on a GPS system.
Abstract: The invention provides a satellite-based augmentation system applied star date and star clock correction parameter and spatial signal integrity parameter method. The method comprises the following steps: 1) obtaining real-time measurement and calculating the pseudo-range residuals; 2) calculating the priori errors of the star date and start clock; 3) integrating the priori errors and the real-time pseudo-range residuals; 4) conducting Kalman filtering to the integrated result from step 3 to obtain the estimated error of the star date and star clock; 5) fitting and quantizing the estimated error of the star date and star clock to obtain the correction broadcast value of the star date and star clock; 6) calculating the pseudo-range residuals after the use of the correction broadcast value of the star date and star clock; 7) using the pseudo-range residuals obtained in step 6 to calculate the covariance of the star date and star clock; and 8) decomposing the covariance obtained in step 7; and quantifying for broadcast value with integrity parameter. The method provided by the invention can meet the requirement of a kind of precision approach service by its sole reliance on a GPS system.
TL;DR: In this paper, the authors proposed a positioning method and device based on the satellite-based augmentation of a Beidou No.3 satellite and a terminal, where the star clock and ephemeris of the satellite are corrected by the estimated star clock correction parameters.
Abstract: The invention provides a positioning method and device based on the satellite-based augmentation of a Beidou No.3 satellite and a terminal. Current star clock correction parameters are estimated through star clock correction parameters historically released by the Beidou No.3 satellite, and current ephemeris correction parameters are estimated by historically released ephemeris correction parameters. The star clock and ephemeris of the Beidou No.3 satellite are corrected by the estimated star clock correction parameters and the estimated ephemeris correction parameters, the corrected star clock and ephemeris can be more close to actual star clock and ephemeris when the positioning is initiated, the errors of the corrected star clock and ephemeris relative to the actual star clock and ephemeris are reduced, and therefore, the positioning accuracy for the terminal is improved.
TL;DR: In this paper, the authors proposed a method for calculating a vector difference separated by a star clock and an ephemeris, which is characterized by comprising the following steps: first, calculating a pseudo-range error by a user positioning equation of three-dimensional space according to information of pseudo-distance observation of a master reference station, and distributing the pseudo range error from a master station to each satellite onto the star clock, so as to acquire a separated star clock correction.
Abstract: The invention relates to a method for calculating a vector difference separated by a star clock and an ephemeris The method is characterized by comprising the following steps: first, calculating a pseudo-range error by a user positioning equation of three-dimensional space according to information of pseudo-range observation of a master reference station, and distributing the pseudo-range error from a master reference station to each satellite onto the star clock, so as to acquire a separated star clock correction; then, subtracting the star clock correction from the pseudo-range error in observation information of a secondary reference station to acquire a remainder pseudo-range error of each secondary reference station; finally, calculating to acquire a separated ephemeris correction by the user positioning equation of the three-dimensional space and the remainder pseudo-range error of the secondary reference station The vector difference method greatly reduces DOP value by 9 times minimally, and saves a great deal of cost as the vector difference method does not need reference station time synchronization; therefore, the method for calculating the vector difference separated by the star clock and the ephemeris has the advantages of improving difference precision and reducing system operation cost