Floberghagen Lunar Gravimetry

Revealing the Far-Side
2002
ISBN: 978-90-481-9552-7
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 273, 304 Seiten, eBook

Reihe: Astrophysics and Space Science Library

Lunar Gravimetry: Revealing the Far-Side provides a thorough and detailed discussion of lunar gravity field research and applications, from the initial efforts of the pre-Apollo and Luna eras to the dedicated gravity mapping experiments of the third millennium.Analysis of the spatial variations of the gravity field of the Moon is a key selenodetic element in the understanding of the physics of the Moon's interior. Remarkably, more than forty years after the initial steps in lunar exploration by spacecraft, the global gravity field still remains largely unknown, due to the limitations of standard observations techniques. As such, knowledge of the high-accuracy and high-resolution gravity field is one of the remaining unsolved issues in lunar science.

Zielgruppe

Research

Autoren/Hrsg.

Floberghagen, Rune

Inhaltsverzeichnis

1 Introduction.- 2 Fundamentals of lunar gravity field recovery.- 2.1 Scientific rationale.- 2.2 State-of-the-art of lunar gravity field modelling.- 2.3 Future solutions.- 3 Assessment of modem lunar gravity field models through orbit analysis.- 3.1 Introduction.- 3.2 The role of model calibration.- 3.3 Covariance analysis of GLGM-2 and LP75G.- 3.4 Long-term orbit behaviour.- 3.5 Discussion and outlook based on later Lunar Prospector products.- 4 Ill-conditioning of the lunar gravimetric inverse problem.- 4.1 Setting the stage.- 4.2 The multiple roles of regularisation in lunar gravimetry.- 4.3 Regularisation methods and the view on the estimation process.- 4.4 Information content and effect of the bias on the quality description.- 4.5 Searching for the optimal regularisation parameter.- 5 Lunar gravity field modelling experiments with European data sets.- 5.1 Introduction.- 5.2 The Lunar Prospector tracking campaign at Weilheim.- 5.3 Orbit determination using Weilheim data.- 5.4 Gravity field recovery using Weilheim data.- 6 Towards a global data set.- 6.1 Introduction.- 6.2 SST concepts.- 6.2.1 Low—low configurations — the MORO study.- 6.2.2 High—low configurations — the SELENE experiment.- 6.3 Covariance analysis of low—low selenopotential recovery.- 6.3.1 Time-wise approach in the time-domain — the Colombo method.- 6.3.2 The linear low—low SST observation equation.- 6.3.3 Formal errors based on low—low range rate measurements..- 6.3.4 A note on omission errors.- 6.4 Full-scale simulation of low—low selenopotential estimation.- 6.4.1 The simulation setup.- 6.4.2 Gravity field recovery results.- 7 Epilogue.- 7.1 Conclusions.- 7.2 Recommendations for further research.- A Fundamentals of selenography.- B The generalised singular value decomposition(GSVD).- C Some useful coordinate transformations.- D The Euler-Lagrange equation and the range rate SST signal.- D.1 The Euler-Lagrange formalism.- D.2 Satellite velocity and the conservative forcing function in inertial space.- D.3 The forcing function in body-fixed rotating coordinates.- D.4 The low-low range rate SST signal equation.