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Artificial Equilibrium Points in the Low-Thrust Restricted Three-Body Problem When Both the Primaries Are Oblate Spheroids

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International Journal of Astronomy and Astrophysics 2018年第4期8卷 406-424页

作者： Amit Mittal krishan pal Department of Mathematics A.R.S.D College University of Delhi New Delhi India Department of Mathematics Maharaja Agrasen College University of Delhi New Delhi India

This paper studies the existence and stability of the artificial equilibrium points (AEPs) in the low-thrust restricted three-body problem when both the primaries are oblate spheroids. The artificial equilibrium points (AEPs) are generated by canceling the gravitational and centrifugal forces with continuous low-thrust at a non-equilibrium point. Some graphical investigations are shown for the effects of the relative parameters which characterized the locations of the AEPs. Also, the numerical values of AEPs have been calculated. The positions of these AEPs will depend not only also on magnitude and directions of low-thrust acceleration. The linear stability of the AEPs has been investigated. We have determined the stability regions in the xy, xz and yz-planes and studied the effect of oblateness parameters A1(0A1?and ?A2(0A2<1) on the motion of the spacecraft. We have found that the stability regions reduce around both the primaries for the increasing values of oblateness of the primaries. Finally, we have plotted the zero velocity curves to determine the possible regions of motion of the spacecraft.

关键词： Restricted Three-Body Problem Artificial Equilibrium Points Low-Thrust Stability Oblate Spheroid Zero Velocity Curves

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Analysis of Aquifer Characteristics and Groundwater Quality in Southwest Punjab, India

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Journal of Earth Science and Engineering 2014年第10期4卷 597-604页

作者： Rajinder pal Singh Chopra Gopal krishan Hydro-geological and Hydro-chemical Division Punjab Water Resources and Environment Directorate Chandigarh 160017India Hydrological lnvestigations Division National Institute of Hydrology Roorkee 247667 Uttarakhand lndia IGB-Groundwater Resilience Project British Geological Survey NERC Nottingham NG12 5GG UK

A study was conducted in eight districts, viz., Faridkot, Moga, Ferozepur, Muktsar, Bathinda, Mansa, Barnala and Sangrur in south-western part of the Punjab, India to characterize aquifer strata by preparing a fence diagram depicting sub-surface strata and distribution of groundwater quality. The sub-surface lithology drilled upto a depth of 60 m reveal the presence of top most layer of impervious strata comprising of clay upto the depth of 2 m to 5 m which impedes the percolation of surface runoff into the soil leading to surface flooding and water logging even in areas having saturated zone beyond the depth of 5 m. Thick pervious strata of 45 m to 50 m thickness is encountered in central and south-sentral part of the study area comprising of Bathinda, Muktsar and Mansa districts which at certain places are separated by one or two thin layers of impervious or semi-pervious strata comprising of clay and sand occasionally associated with ＂kankar＂ of thickness ranging between 2 m to 5 m. The northern, western and eastern parts, however, exhibit three to four layered pervious zones ranging in thickness from 5 m to 25 m separated by thin layers of impervious and semi pervious strata. The groundwater quality in about 6% of the study area in eight districts is fit, 18% is marginal and 76% is unfit for irrigation purpose.

关键词： Groundwater aquifer characteristics quality depth southwest Punjab.

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