Lunar gravimetry
Subtitle: revealing the far-side
By: by Rune Floberghagen.
Series: Astrophysics and space science library -- v. 273
Publisher: Kluwer Academic Publishers
Published: 2002
Place of publication: Dordrecht; Boston
Language: eng
Number of pages: 286
Subjects: Moon -- Gravity.
Notes: Includes bibliographical references (p. [253]-278) and index.
Table of contents: title: Machine generated contents note: 1 Introduction 1; title: 2 Fundamentals of lunar gravity field recovery 7; title: 21 Scientific rationale 7; title: 211 Science of the Moon 8; title: 212 Flight dynamics and satellite orbit modelling 14; title: 22 State-of-the-art of lunar gravity field modelling 16; title: 221 Representation formulae for the gravitational potential 17; title: 222 Lunar satellite tracking data and orbital characteristics of; title: previous missions 20; title: 223 Selenopotential models 24; title: 23 Future solutions 30; title: 231 Why satellite-to-satellite tracking? 30; title: 232 Prospects and future missions 32; title: 3 Assessment of modern lunar gravity field models through orbit analysis 35; title: 31 Introduction 35; title: 32 The role of model calibration 38; title: 33 Covariance analysis of GLGM-2 and LP75G 42; title: 331 Linear orbit perturbation theory 42; title: 332 Projection of the covariance matrix 46; title: 333 Time-wise characteristics of low lunar orbit accuracy 47; title: 334 Spatial characteristics of low lunar orbit errors 63; title: 34 Long-term orbit behaviour 70; title: 341 Frozen orbits 71; title: 342 Periodic orbits 74; title: 35 Discussion and outlook based on later Lunar Prospector products 76; title: 4 Ill-conditioning of the lunar gravimetric inverse problem 79; title: 41 Setting the stage 81; title: 411 The Picard condition 85; title: 412 Discretisation and the singular value decomposition 85; title: 413 Regularisation and filtering 88; title: 414 The discrete Picard condition 89; title: 42 The multiple roles of regularisation in lunar gravimetry 92; title: 43 Regularisation methods and the view on the estimation process 95; title: 431 Tikhonov-Phillips regularisation 96; title: 432 Biased estimation 100; title: 433 Error measures and error propagation 101; title: 44 Information content and effect of the bias on the quality description 105; title: 441 Ratio measures 106; title: 442 Contribution measures 110; title: 443 Selenoid height errors 114; title: 45 Searching for the optimal regularisation parameter 119; title: 451 Pragmatic parameter choice methods for single-parameter; title: regularisation 120; title: 452 L-curve and quasi-optimality regularisation parameters for; title: GLGM-2 and LP75G 127; title: 453 Discussion and general remarks on error assessment and cal-; title: ibration of selenopotential models 131; title: 5 Lunar gravity field modelling experiments with European data sets 135; title: 51 Introduction 1135; title: 52 The Lunar Prospector tracking campaign at Weilheim 137; title: 521 Spacecraft rotation and its effect on the Doppler observations 141; title: 53 Orbit determination using Weilheim data 143; title: 531 Computational models 145; title: 532 Estimation parameters 148; title: 533 Orbit evaluation 149; title: 54 Gravity field recovery using Weilheim data 153; title: 541 Approach to the gravity field estimation 154; title: 542 The Weilheim-adjusted selenopotential solutions 157; title: 543 Orbit quality 162; title: 544 Degree variations and solution consistency 171; title: 545 Discussion 173; title: 6 Towards a global data set 177; title: 61 Introduction 177; title: 62 SST concepts 179; title: 621 Low-low configurations - the MORO study 181; title: 622 High-low configurations - the SELENE experiment 184; title: 63 Covariance analysis of low-low selenopotential recovery 186; title: 631 Time-wise approach in the time-domain - the Colombo method 188; title: 632 The linear low-low SST observation equation 193; title: 633 Formal errors based on low-low range rate measurements 197; title: 634 A note on omission errors 208; title: 64 Full-scale simulation of low-low selenopotential estimation 209; title: 641 The simulation setup 211; title: 642 Gravity field recovery results 215; title: 7 Epilogue 221; title: 71 Conclusions 221; title: 72 Recommendations for further research 228; title: A Fundamentals of selenography 231; title: B The generalised singular value decomposition (GSVD) 239; title: C Some useful coordinate transformations 241; title: D The Euler-Lagrange equation and the range rate SST signal 245; title: D1 The Euler-Lagrange formalism 245; title: D2 Satellite velocity and the conservative forcing function in inertial space247; title: D3 The forcing function in body-fixed rotating coordinates 248; title: D4 The low-low range rate SST signal equation 250; title: Bibliography 253; title: Index 279.