Correction due to the finite speed of light in absolute gravimeters

Metrologia

Volumn 48, Issue 3, 2011, Pages 101-113

  Nagornyi, V D ^a   Zanimonskiy, Y M ^b   Zanimonskiy, Y Y ^c  

^a Axispoint Inc   (United States)

^b INSTITUTE OF RADIO ASTRONOMY   (Ukraine)

^c International Slavonic University   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

ABSOLUTE GRAVIMETER; ABSOLUTE GRAVIMETRY; ACCURATE CORRECTION; FINITE SPEED; PHYSICAL MODEL; SET OF RULES; SIGNAL DELAYS; TRAJECTORY MODELS;

DOPPLER EFFECT; GRAVIMETERS; LIGHT VELOCITY; MODELS; WAVES;

HIGH ENERGY PHYSICS;

EID: 79956296615     PISSN: 00261394     EISSN: 16817575     Source Type: Journal    
DOI: 10.1088/0026-1394/48/3/004     Document Type: Article

References (28)

1. Zhang Z, Cheng Z, Qin Z and Zhu J 2007 Micro-gal laser absolute gravimeter based on high precision heterodyne interferometer Chin. Opt. Lett. 5 344-6 (Pubitemid 47085494)
2. Murata I A 1978 Transportable apparatus for absolute measurements of gravity Bull. Earthquake Res. Inst. 53 49-130
3. Arnautov G P, Boulanger Y D, Kalish E N, Koronkevitch V P, Stus Y F and Tarasyuk V G 1983 'Gabl', an absolute free-fall laser gravimeter Metrologia 19 49-55 (Pubitemid 13560128)
4. Hanada H 1996 Development of absolute gravimeter with a rotating vacuum pipeand study of gravity variation Publ. Natl Astron. Obs. Japan 4 75-134
5. Kuroda K and Mio N 1991 Correction to interferometric measurements of absolute gravity arising from the finite speed of light Metrologia 28 75-8 (Pubitemid 21679958)
6. Niebauer T M, Sasagawa G S, Faller J E, Hilt R and Klopping F 1995 A new generation of absolute gravimeters Metrologia 32 159-80
7. Nagornyi V D 1995 A new approach to absolute gravimeter analysis Metrologia 32 201-8
8. Thulin A 1961 Determination absolute de g Trav. Mem. BIPM 22 A1-91
9. Cook A H 1965 The absolute determination of the acceleration due to gravity Metrologia 1 84-114
10. Niebauer T M 1989 The effective measurement height of free-fall absolute gravimeters Metrologia 26 115-8
11. Robertsson L 2005 Absolute gravimetry in a shifted Legendre basis Metrologia 42 458-63 (Pubitemid 41436735)
12. Robertsson L 2007 On the diffraction correction in absolute gravimetry Metrologia 44 35-9 (Pubitemid 46620788)
13. Pauli W 1981 Theory of Relativity (New York: Dover)
14. Zumberge M A, Rinker R L and Faller J E 1982 A portable apparatus for absolute measurements of the Earth's gravity Metrologia 18 145-52
15. Klopping F J, Peter G, Robertson D S, Berstis K A, Moose R E and Carter W E 1991 Improvements in absolute gravity observations J. Geophys. Res. 96 8295-303
16. Schmerge D and Francis O 2006 Set standard deviation, repeatability and offset of absolute gravimeter A10-008 Metrologia 43 414-8 (Pubitemid 44508526)
17. Rothleitner C, Svitlov S, Merimeche H, Hu H and Wang L J 2009 Development of new free-fall absolute gravimeters Metrologia 46 283-97
18. Svitlov S, Masłyk P, Rothleitner C, Hu H and Wang L J 2010 Comparison of three digital fringe signal processing methods in a ballistic free-fall absolute gravimeter Metrologia 47 677-89
19. Rothleitner C 2008 Ultra-high precision, absolute, Earth gravity measurements PhD Thesis University Erlangen-Nuremberg
20. Nagornyi V D 1993 Data processing in ballistic gravimeters PhD Thesis Schmidt Institute of Physics of the Earth, Moscow (in Russian)
21. Hammond J A and Faller J E 1971 Results of absolute gravity determinations at a number of different sites J. Geophys. Res. 76 7850-2
22. Arnautov G P, Gik L D, Kalish Y N and Stus Y F 1972 Investigation of systematic errors of gravity acceleration measurements by the free-fall method Measurements of the Absolute Value of Gravity Acceleration (Novosibirsk: Institute of Automation and Electrometry) pp 32-47 (in Russian)
23. Arnautov G P, Gik L D, Kalish E N, Koronkevitch V P, Malyshev I S, Nesterikhin Y E, Stus Y F and Tarasov G G 1974 High-precision laser gravimeter Appl. Opt. 13 310-3
24. Arnautov G P et al 1979 Measurement of the absolute acceleration due to gravity using a laser ballistic gravimeter Sov. J. Quantum Electron. 9 333
25. Zumberge M 1981 A portable apparatus for absolute measurements of the Earth's gravity PhD Thesis University of Colorado
26. Feng Y-y, Zhang G-y, Li D-x, Qiu X-m, Zhou J-h, Gao J-L, Huang D-l, Huang C-q and Guo Y-G 1982 A transportable absolute gravimeter for determining the acceleration due to the Earth's gravity Metrologia 18 139-43
27. Kacker R, Sommer K-D and Kessel R 2007 Evolution of modern approaches to express uncertainty in measurement Metrologia 44 513
28. Abramowitz M and Stegun I 1964 Handbook of Mathematical Functions 5th edn (New York: Dover)