NDLI: Modelling LARES temperature distribution and thermal drag

Content Provider	Springer Nature Link
Author	Nguyen, Phuc H. Matzner, Richard
Copyright Year	2015
Abstract	The LARES satellite, a laser-ranged space experiment to contribute to geophysics observation, and to measure the general relativistic Lense-Thirring effect, has been observed to undergo an anomalous along-track orbital acceleration of −0.4 pm/s$^{2}$ (pm : = picometer). This thermal “drag” is not surprising; along-track thermal drag has previously been observed with the related LAGEOS satellites (−3.4 pm/s$^{2}$). It is hypothesized that the thermal drag is principally due to anisotropic thermal radiation from the satellite’s exterior. We report the results of numerical computations of the along-track orbital decay of the LARES satellite during the first 126 days after launch. The results depend to a significant degree on the visual and IR absorbance α and emissivity ε of the fused silica Cube Corner Reflectors. We present results for two values of α $_{IR}$ = ε $_{IR}$ : 0.82, a standard number for “clean” fused silica; and 0.60, a possible value for silica with slight surface contamination subjected to the space environment. The heating and the resultant along-track acceleration depend on the plane of the orbit, the sun position, and, in particular, on the occurrence of eclipses, all of which are functions of time. Thus we compute the thermal drag for specific days. We compare our model to observational data, available for a 120 day period starting with the 7th day after launch, which shows the average acceleration of −0.4 pm/s$^{2}$. With our model the average along-track thermal drag over this 120 day period for CCR α $_{IR}$ = ε $_{IR}$ = 0.82 was computed to be −0.59 pm/s$^{2}$. For CCR α $_{IR}$ = ε $_{IR}$ = 0.60 we compute −0.36 pm/s$^{2}$. LARES consists of a solid spherical tungsten sphere, into which the CCRs are set in colatitude circles. Our calculation models the satellite as 93 isothermal elements: the tungsten part, and each of the 92 Cube Corner Reflectors. The satellite is heated from two sources: sunlight and Earth’s infrared (IR) radiation. We work in the fast-spin regime, where CCRs with the same colatitude can be taken to have the same temperature. Since all temperature variations (temporal or spatial) are expected to be small, we linearize the Stefan-Boltzmann law and, taking advantage of the linearity, we perform a Fourier series analysis. The variations are indeed small, validating our Fourier analysis.
Starting Page	1
Ending Page	24
Page Count	24
File Format	PDF
Journal	The European Physical Journal Plus
Volume Number	130
Issue Number	10
e-ISSN	21905444
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-10-16
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied and Technical Physics Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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