An Efficient and Precise Method for Calculating the Dense Ephemeris of High Eccentricity Orbit

2021 ◽  
Vol 45 (3) ◽  
pp. 412-428
Author(s):  
DAI Zhi-jun ◽  
XU Jin
1968 ◽  
Vol 12 ◽  
Author(s):  
R. Goossens

A precise method for the determination of the increment of the  basal area using the PressIer bore. Refering to  previous research showing that the basal area of the corsica pine could be  characterized by an ellips, we present in this paper a precise method for the  determination of the increment of the basal area. In this method we determine  the direction of the maximum diameter, we measure this diameter and we take a  core in one of the points of tangency of the caliper with the measured tree.  The determination of the diameter perpendicular to the maximum diameter  finishes the work wich is to be done in the forest. From the classical  measurements effectuated on the core and from the measured diameters we can  then determine the form (V) and the excentricity (e). Substituting these two  parameters in the formula 2 or 2', we can also calculate the error of a  radius measured on the core with respect to the representative radius, This  error with them allow us to correct the measured value of the minimum or the  maximum radius and we will be able to do a precise determination of the  increment.


2021 ◽  
Vol 19 (7) ◽  
pp. 1508-1513
Author(s):  
Sengodagounder Muthusamy ◽  
Muthukumar Malarvizhi ◽  
Eringathodi Suresh

An unambiguous and precise method for the synthesis of 3,1-benzoxathiin-4-ones/1,3-benzodioxin-4-ones by the reaction of propargylic alcohols and salicylic/thiosalicylic acids under a catalyst-free and open-air atmosphere is described.


1983 ◽  
Vol 27 (9) ◽  
pp. 786-789 ◽  
Author(s):  
E.N. Corlett ◽  
J.A.E. Eklund

The backrest on a working seat reduces back muscle tension and the need to lock the spine for the transmission of horizontal forces from the trunk to the chair. These effects reduce inter-vertebral compression forces, which cause the discs to collapse. A simple and precise method for measuring shrinkage in stature has been developed and used to examine variations in the design of seats. The findings are discussed in relation to the biomechanics of sitting, and conclusions for seat design presented.


Author(s):  
Zhigang Li ◽  
Jun Li ◽  
Zhenping Feng

Annular gas seals for compressors and turbines are designed to operate in a nominally centered position in which the rotor and stator are at concentric condition, but due to the rotor–stator misalignment or flexible rotor deflection, many seals usually are suffering from high eccentricity. The centering force (represented by static stiffness) of an annular gas seal at eccentricity plays a pronounced effect on the rotordynamic and static stability behavior of rotating machines. The paper deals with the leakage and static stability behavior of a fully partitioned pocket damper seal (FPDS) at high eccentricity ratios. The present work introduces a novel mesh generation method for the full 360 deg mesh of annular gas seals with eccentric rotor, based on the mesh deformation technique. The leakage flow rates, static fluid-induced response forces, and static stiffness coefficients were solved for the FPDS at high eccentricity ratios, using the steady Reynolds-averaged Navier–Stokes solution approach. The calculations were performed at typical operating conditions including seven rotor eccentricity ratios up to 0.9 for four rotational speeds (0 rpm, 7000 rpm, 11,000 rpm, and 15,000 rpm) including the nonrotating condition, three pressure ratios (0.17, 0.35, and 0.50) including the choked exit flow condition, two inlet preswirl velocities (0 m/s, 60 m/s). The numerical method was validated by comparisons to the experiment data of static stiffness coefficients at choked exit flow conditions. The static direct and cross-coupling stiffness coefficients are in reasonable agreement with the experiment data. An interesting observation stemming from these numerical results is that the FPDS has a positive direct stiffness as long as it operates at subsonic exit flow conditions; no matter the eccentricity ratio and rotational speed are high or low. For the choked exit condition, the FPDS shows negative direct stiffness at low eccentricity ratio and then crosses over to positive value at the crossover eccentricity ratio (0.5–0.7) following a trend indicative of a parabola. Therefore, the negative static direct stiffness is limited to the specific operating conditions: choked exit flow condition and low eccentricity ratio less than the crossover eccentricity ratio, where the pocket damper seal (PDS) would be statically unstable.


2014 ◽  
Vol 69 ◽  
pp. 62-71 ◽  
Author(s):  
Xuefeng Zhang ◽  
Bo Liu ◽  
Jieqiong Wang ◽  
Zhe Zhang ◽  
Kaibo Shi ◽  
...  

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