Geometrical Theory Of Satellite Orbits And Gravity Field

This book on space geodesy presents pioneering geometrical approaches in the modelling of satellite orbits and gravity field of the Earth, based on the gravity field missions CHAMP, GRACE and GOCE in the LEO orbit. Geometrical approach is also extended to precise positioning in space using multi-GNSS constellations and space geodesy techniques in the realization of the terrestrial and celestial reference frame of the Earth. This book addresses major new developments that were taking place in space geodesy in the last decade, namely the availability of GPS receivers onboard LEO satellites, the multitude of the new GNSS satellite navigation systems, the huge improvement in the accuracy of satellite clocks and the revolution in the determination of the Earth's gravity field with dedicated satellite missions.

China Satellite Navigation Conference (CSNC 2022) Proceedings presents selected research papers from CSNC 2022 held during 25th-27th May, 2022 in Beijing, China. These papers discuss the technologies and applications of the Global Navigation Satellite System (GNSS), and the latest progress made in the China BeiDou System (BDS) especially. They are divided into 10 topics to match the corresponding sessions in CSNC2022 which broadly covered key topics in GNSS. Readers can learn about the BDS and keep abreast of the latest advances in GNSS techniques and applications.

Orbital motion is a vital subject which has engaged the greatest minds in mathematics and physics from Kepler to Einstein. It has gained in importance in the space age and touches every scientist in any field of space science. Still, there is almost a total dearth of books in this important field at the elementary and intermediate levels — at best a chapter in an undergraduate or graduate mechanics course.This book addresses that need, beginning with Kepler's laws of planetary motion followed by Newton's law of gravitation. Average and extremum values of dynamical variables are treated and the central force problem is formally discussed. The planetary problem in Cartesian and complex coordinates is tackled and examples of Keplerian motion in the solar system are also considered. The final part of the book is devoted to the motion of artificial Earth satellites and the modifications of their orbits by perturbing forces of various kinds.

This book presents peer-reviewed and selected papers of the International Youth Conference on Electronics, Telecommunications, and Information Technologies (YETI-2021), held in Peter the Great St. Petersburg Polytechnic University, St. Petersburg, on April 22–23, 2021. For the third time around, the conference brings together students and early career scientists, serving to disseminate the current trends and advances in electronics, telecommunications, optical, and information technologies. A series of workshops and poster sessions focusing, in particular, on the theoretical and practical challenges in nanotechnologies, photonics, signal processing, and telecommunications allow to establish contacts between potential partners, share new ideas, and start new collaborations. The conference is held in an online format, thus considerably expanding its geographical reach and offering an even wider scope of discussion.

Presents new algorithms for determining orbits; ideal for graduate students and researchers in applied mathematics, physics, astronomy and aerospace engineering.

This open access volume contains selected papers of the 2021 Scientific Assembly of the International Association of Geodesy – IAG2021. The Assembly was hosted by the Chinese Society for Geodesy, Photogrammetry and Cartography (CSGPC) in Beijing, China from June 28 to July 2, 2021. It was a hybrid conference with in-person and online attendants. In total, the Assembly was attended by 146 in-person participants and 1,123 online participants. The theme of the Assembly was Geodesy for a Sustainable Earth. 613 contributions (255 oral presentations and 358 poster presentations) covered all topics of the broad spectrum considered by the IAG: geodetic reference frames, Earth gravity field modelling, Earth rotation and geodynamics, positioning and applications, the Global Geodetic Observing System (GGOS), geodesy for climate research, marine geodesy, and novel sensors and quantum technology for geodesy. All published papers were peer-reviewed, and we warmly recognize the contributions and support of the Associate Editors and Reviewers.

Celestial mechanics aims to predict the motion of every real object in outer space, no matter what causes changes in its orbit. The motion of most planets and natural satellites can be successfully described by conservative celestial mechanics and problems can be studied within the formalism of Hamiltonian mechanics. The few exceptions which experience significant non-gravitational effects call for only very small corrections to the purely gravitational theory. All satellites experience non-gravitational perturbations to their orbits. However, factors such as the relatively high area-to-mass ratio of spacecraft compared with that of even a tiny asteroid significantly increase the relative effect of non-gravitational to gravitational forces on the orbits of artificial satellites. When the orbital tracking is carried out by very accurate techniques, the need arises to model, or at least to estimate, the effects of phenomena such as radiation pressure from solar light and from Earthshine or drag caused by neutral and charged particles. This book presents the basic ideas of the physics of the main non-gravitational perturbations and the mathematics of the methods required to compute their orbital effects. The authors convey to the reader the relevance of the different problems that need to be solved to achieve a given level of accuracy in the orbit determination and in the recovery of geophysically significant parameters. The book will enable readers to assess for themselves the possible geodetic uses of given space missions, or maybe to propose a new one, or to propose a combined geodetic use for a mission envisaged for other purposes. The Authors Andrea Milani is a mathematician, Anna Maria Nobili ad Paolo Farinella are physicists. They began working together in celestial mechanics and satellite geodesy in 1978, when they formed, with others, the Space Mechanics Group now based at the Department of Mathematics of the University of Pisa, Italy. By travelling to many research centres in Europe and in the USA, and by presenting several proposals for space-based experiments to the European Space Agency and to the Italian Space Program, they have learned how to assess the difficulty of an orbit determination and how often the problem is due to poor modelling of very-subtle non-gravitational effects, In this book they try to make their know-how available to others, as well as teaching some basic tools of celestial mechanics on the basis of their experience in basic research. A Milani and A M Nobili also work on the stability of the solar system, P Farinella also studies the dynamics and physics of the asteriod belt.