symmetric field
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2021 ◽  
Vol 129 (11) ◽  
pp. 1366
Author(s):  
А.С. Корнев ◽  
В.Е. Чернов ◽  
Б.А. Зон ◽  
Д.Л. Дорофеев ◽  
P. Kubelik ◽  
...  

We study Rydberg states of radical in adiabatic (rotational Born–Oppenheimer) approximation as well as in the inverse limit. The needed value, d = 0.833, of the OH+cation’s dipole moment was calculated using the RCCSD(T)/aug-cc-pV5Zmethod. Our calculations show that a dipole moment of this magnitude influence weakly on the energies of the Rydberg states. The exception are the states originating from s-states in the central-symmetric field, which are influenced significantly by the cation dipole moment. In the inverse Born–Oppenheimer limit, we study in detail the dependence of the Rydberg spectrum upon the total angular momentum, J, of the molecule. This dependence substantially differs from the well-known dependence, ∼J(J + 1), of the rotating top energy on its total momentum.


2020 ◽  
Vol 10 (7) ◽  
pp. 2399
Author(s):  
Qiang Fu ◽  
Xin Zhang ◽  
Jianping Zhang ◽  
Guangwei Shi ◽  
Shangnan Zhao ◽  
...  

Step/stare imaging with focal plane arrays (FPAs) has become the main approach to achieve wide area coverage and high resolution imaging for long range targets. A fast steering mirror (FSM) is usually utilized to provide back-scanned motion to compensate for the image motion. However, the traditional optical design can just hold one field point relatively stable, typically the central or on-axis field point, on the FPA during back-scanning; all other field points may wander during the exposure due to imaging distortion characteristics of the optical system, which reduces the signal to noise ratio (SNR) of the target. Aiming toward this problem, this paper proposes a non-rotationally symmetric field mapping method for the back-scanned step/stare imaging system, which can make all field points stable on the FPA during back-scanning. First of all, the mathematical model of non-rotationally symmetric field mapping between object space and image space is established. Then, a back-scanned step/stare imaging system based on the model is designed, in which this non-rotationally symmetric mapping can be implemented with an afocal telescope including freeform lenses. Freeform lenses can produce an anamorphic aberration to adjust distortion characteristics of the optical system to control image wander on an FPA. Furthermore, the simulations verify the effectiveness of the method.


2020 ◽  
Author(s):  
Daniele Durante ◽  
Marzia Parisi ◽  
Daniele Serra ◽  
Marco Zannoni ◽  
Virginia Notaro ◽  
...  

<p>The Juno spacecraft arrived at Jupiter’s system on July 4th, 2016 and reached the mid-point of its nominal mission in December 2018, after completing 17 perijove passes. Juno is currently orbiting Jupiter in a highly eccentric orbit, with a perijove altitude of about 4000 km that provides great sensitivity to the gravitational field of the planet. The radioscience instrumentation on board Juno enables very accurate radial velocity (Doppler) measurements, with noise as low as 10 micron/s at an integration time of 60 s. The gravity field of the planet is recovered though detailed reconstruction of Juno’s motion and observation model, performed with JPL’s and University of Pisa’s latest precise orbit determination codes, MONTE and ORBIT14 respectively.</p><p>We provide an update on Jupiter’s gravity field, its tidal response and spin axis motion over the first half of Juno’s mission. Although the Doppler data collected during the first two gravity-dedicated perijove passes have been reduced to the noise level by assuming a purely axially symmetric field for the gas giant, the current dataset, which includes ten passes, hints to a non-static and/or non-axially symmetric field, possibly related to several different mechanisms, such as normal modes, localized atmospheric or deeply-rooted dynamics.</p>


Author(s):  
Hanoch Gutfreund ◽  
Jürgen Renn

This chapter attempts to find a measure for the “strength” of a system of field equations, which is determined by the amount of free data consistent with the system. It introduces the infinitesimal displacement field as a necessary remedy in general relativistic theory, as one can no longer form new tensors from a given tensor by simple differentiation and that in such a theory there are much fewer invariant formations. The infinitesimal displacement field replaces the inertial system inasmuch as it makes it possible to compare vectors at infinitesimally close points. After introducing these concepts, the chapter presents a discussion on relativistic field theory.


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