Statistical Orbit Determination

Statistical Orbit Determination
Author: Bob Schutz
Publisher: Elsevier
Total Pages: 563
Release: 2004-06-26
Genre: Science
ISBN: 0080541739

Statistical Orbit Determination presents fundmentals of orbit determination--from weighted least squares approaches (Gauss) to today's high-speed computer algorithms that provide accuracy within a few centimeters. Numerous examples and problems are provided to enhance readers' understanding of the material. Covers such topics as coordinate and time systems, square root filters, process noise techniques, and the use of fictitious parameters for absorbing un-modeled and incorrectly modeled forces acting on a satellite. Examples and exercises serve to illustrate the principles throughout each chapter.

Least Squares Solutions in Statistical Orbit Determination Using Singular Value Decomposition

Least Squares Solutions in Statistical Orbit Determination Using Singular Value Decomposition
Author: Patrick M. Marshall
Publisher:
Total Pages: 61
Release: 1999-06-01
Genre: Gaussian processes
ISBN: 9781423553120

This thesis is a partial analysis of the Naval Space Command statistical orbit determination algorithms. Through a process called Differential Correction, data from space surveillance radar observation stations is synthesized with previously accumulated element sets to maintain accurate orbital object position information. Differential Correction is a nonlinear least squares process employing statistical techniques to minimize the residual measurement error thereby increasing relative position information accuracy. This study focuses specifically on the algorithmic methods of solution to the systems of normal equations generated by the Differential Correction process. A comparison and analysis of the present Naval Space Command method and the singular value decomposition method is presented. Algorithmic constructions are presented for both methods and problematic areas are highlighted. The principal focus herein is to demonstrate the benefit of singular value decomposition when attempting to solve systems of equations whose coefficient matrices are dense and nearly singular. These results generalize to commonly employed normal equation solution algorithms and are intended for further study and possible incorporation by Naval Space Command as part of future modernization plans.

Theory of Orbit Determination

Theory of Orbit Determination
Author: Andrea Milani
Publisher: Cambridge University Press
Total Pages: 393
Release: 2010
Genre: Mathematics
ISBN: 0521873894

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

Satellite Orbits

Satellite Orbits
Author: Oliver Montenbruck
Publisher: Springer Science & Business Media
Total Pages: 378
Release: 2012-12-06
Genre: Science
ISBN: 3642583512

This modern presentation guides readers through the theory and practice of satellite orbit prediction and determination. Starting from the basic principles of orbital mechanics, it covers elaborate force models as well as precise methods of satellite tracking. The accompanying CD-ROM includes source code in C++ and relevant data files for applications. The result is a powerful and unique spaceflight dynamics library, which allows users to easily create software extensions. An extensive collection of frequently updated Internet resources is provided through WWW hyperlinks.

Orbital Mechanics

Orbital Mechanics
Author: Tom Logsdon
Publisher: John Wiley & Sons
Total Pages: 292
Release: 1997-10-24
Genre: Technology & Engineering
ISBN: 9780471146360

Ein lebendiger Abriß der Theorie der Umlaufbahnen, geschrieben von einem Spezialisten, der für Computersimulationen und Systemanalysen der Saturn-V-Rakete, des Projektes Skylab und vieler anderer Projekte zuständig war. Die Diskussion umfaßt auch unkonventionelle Ansätze und Paradoxa. Schwerpunkte liegen unter anderem auf Raketenantrieben, Optimierung des Verhältnisses zwischen Nutzlast und Treibstoffverbrauch und der Wechselwirkung zwischen Raumfahrzeugen und Raumobjekten. (11/97)

Orbit Determination and Statistical Study of Visual Binaries

Orbit Determination and Statistical Study of Visual Binaries
Author: Mohamed Nouh
Publisher: LAP Lambert Academic Publishing
Total Pages: 152
Release: 2013
Genre:
ISBN: 9783659372650

The determination of visual binary orbits is the problem of computing orbital elements of a binary from a set of observed positions. There are several methods of orbit computations, and they fall into two categories namely geometrical methods and analytical methods. The firsts are quicker but lead to fewer certain values of the elements. About 60 to 80 orbits are computed each year throughout the world. More than half are improvements of former orbits. Of the 800 or 900 orbits now published, only a few score have definitive elements. The reasons for this difficulty beside the errors in the measures are: 1- The lack of existing orbit determination algorithms that can deal with what we call it "extreme cases" of visual binary orbits like for examples, parabolic orbits, hyperbolic orbits, quasi parabolic orbits and others. So the determination of these orbits will certainly increases the available orbital elements. 2- Three observations (necessary and sufficient data for orbit determination may define a (possible empty ) set of Keplerian orbits whose corresponding apparent orbits pass through those points.

Modern Orbit Determination

Modern Orbit Determination
Author: William E. Wiesel
Publisher: CreateSpace
Total Pages: 154
Release: 2010-06-14
Genre: Science
ISBN: 9781453611982

Modern Orbit Determination is an introduction to the applications of estimation theory to orbit determination. Beginning with the deterministic point of view, the author moves towards the more modern stochastic viewpoint. The fact that the degree of determinism present is an engineering decision is emphasized.

Continuing Kepler's Quest

Continuing Kepler's Quest
Author: National Research Council
Publisher: National Academies Press
Total Pages: 82
Release: 2012-09-06
Genre: Science
ISBN: 0309261457

In February 2009, the commercial communications satellite Iridium 33 collided with the Russian military communications satellite Cosmos 2251. The collision, which was not the first recorded between two satellites in orbit-but the most recent and alarming-produced thousands of pieces of debris, only a small percentage of which could be tracked by sensors located around the world. In early 2007, China tested a kinetic anti-satellite weapon against one of its own satellites, which also generated substantial amounts of space debris. These collisions highlighted the importance of maintaining accurate knowledge, and the associated uncertainty, of the orbit of each object in space. These data are needed to predict close approaches of space objects and to compute the probability of collision so that owners/operators can decide whether or not to make a collision avoidance maneuver by a spacecraft with such capability. The space object catalog currently contains more than 20,000 objects, and when the planned space fence radar becomes operational this number is expected to exceed 100,000. A key task is to determine if objects might come closer to each other, an event known as "conjunction," and the probability that they might collide. The U.S. Air Force is the primary U.S. government organization tasked with maintaining the space object catalog and data on all space objects. This is a complicated task, involving collecting data from a multitude of different sensors-many of which were not specifically designed to track orbiting objects-and fusing the tracking data along with other data, such as data from atmospheric models, to provide predictions of where objects will be in the future. The Committee for the Assessment of the U.S. Air Force's Astrodynamic Standards collected data and heard from numerous people involved in developing and maintaining the current astrodynamics standards for the Air Force Space Command (AFSPC), as well as representatives of the user community, such as NASA and commercial satellite owners and operators. Preventing collisions of space objects, regardless of their ownership, is in the national security interested of the United States. Continuing Kepler's Quest makes recommendations to the AFSPC in order for it to create and expand research programs, design and develop hardware and software, as well as determine which organizations to work with to achieve its goals.