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Parallel observations process of Tianwen-1 orbit determination

Abstract To meet various requirements of the future deep space missions of China, State Key Laboratory of Astronautic Dynamics constructs a new orbit determinatin software with parallel observations process. By using 32 threads, the computational efficiency per iteration (including spacecraft’s integration) could be promoted to 10 times as that of single-threaded orbit determination. Suppose the number of observations is p p , the number of estimated parameters (including spacecraft’s state) is q q , the amount of computation of one observation is x x , the amount of computation of one Givens transformation is y y and the best number of threads is proved to be [ p ⋅ ( x + y ) / ( q ⋅ y ) ] 1 / 2 {\left[p\cdot \left(x+y)\text{/}\left(q\cdot y)]}^{1\text{/}2} for one-step threads combination. The root mean square of the postfit residuals of China’s deep space monitoring network (CDSMN) and China’s Very Long Baseline Interferometry (VLBI) network (CVN) observations in the Earth-Mars transfer phase and the Mars-orbiting phase are almost the same: about 0.3 m for Ranging, about 0.3 mm/s for Doppler, about 3 cm for VLBI delay and about 0.5 mm/s for VLBI delay rate. It is also found that all the four types of observations of CDSMN and CVN are needed in orbit determination for deep space maneuver and braking at periareion calculation. In the Mars-orbiting phase, the position accuracy after orbit determination under CDSMN-only tracking mode can reach about 1 km.

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Observations of comet C/1652 Y1 recorded in Korean histories

Abstract We report the Korean records for comet C/1652 Y1, which have not been introduced in previous studies on historical comets. According to Korean historical documents, this comet, described as bai xing (white star, in literal) or ke xing (guest star, in literal), was observed with the naked eye for 22 days from December 19, 1652 to January 9, 1653. In this study, we first cross-checked the records of comet C/1652 Y1 among Korean documents and presented the translations in the Appendix for future reference. We then compared the Korean observations with the orbital path determined from calculations using the orbital elements provided by Marsden (1983. Catalog of cometary orbit. Hillside: Enslow Publishers). We also compared the illustrations depicted by Weigelius and Schiltero (1653. Commentatio astronomica de cometa novo qui sub finem anni 1652 lumine sub obscuro nobis illuxit. Jenae: Typis Georgii Sengenvvaldi) and by Hevelius (1668. Cometographia, Totam Naturam Cometarum; Exhibens. Gedani: Typis Auctoris, & Sumptibus, Simon Reiniger). We found that the Korean observations show discrepancies with the orbital path calculated by Marsden and the illustration of Weigelius and Schiltero, particularly near the end of the observation period. In conclusion, we believe that this study will contribute to improving the orbital path calculation of comet C/1652 Y1.

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The history of the Cosmos: Implications for the Hubble tension

Abstract In 2007, Storti predicted that the value of the cosmic microwave background radiation (CMBR) temperature may be improved: from the particle data group (PDG) value of [T 0 = 2.725 ± 0.001 K] to [T 0 = 2.7254 K]. In 2011, the PDG revised their value of CMBR to [T 0 = 2.7255 ± 0.006 K]. In 2008, Storti predicted a ΛCDM Hubble constant of [H 0 = 67.0843 km/s/Mpc]. In the same year, the PDG published their value as being [H 0 = 73 ± 3 km/s/Mpc]. In 2013, the PDG published a revised value of [H 0] as being considerably lower [H 0 = 67.3 ± 1.2 km/s/Mpc]. These predictions and experimental confirmations, in particular the value of [H 0] being successfully predicted 5 years in advance of the Planck collaboration and without Planck satellite instrumentation, demonstrate the power of the technique applied. We utilize the same technique to calculate the present values of ΛCDM [H 0], [ΩΛ], [ΩM], [q], and [Λ]. Subsequently, we describe the complete history of the cosmos from the instant of the Big Bang to the present epoch, in complete agreement with the standard model of cosmology. Moreover, we explicitly demonstrate that the Hubble tension does not exist, in a companion publication to this research article. This is achieved by utilizing a single equation to calculate both values of Hubble constant associated with the Hubble tension.

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