Articles liés à Relativistic Time Dilation in GPS Satellites: Physical...
Relativistic Time Dilation in GPS Satellites: Physical Foundations, Mathematical Derivation, and Receiver-Side Implementation - Couverture souple
Synopsis
Global Positioning System (GPS) positioning is fundamentally a time-transfer problem. A receiver estimates its position by comparing the transmission and reception epochs of radio signals from several satellites whose orbital states and clock corrections are broadcast in the navigation message. Because the satellites move at approximately 3,9 km/s and orbit in a gravitational potential that differs substantially from the terrestrial reference geoid, their atomic clocks do not accumulate proper time at the same rate as clocks on or near the Earth. Special relativity predicts a motion-related slowing of roughly 7.2 microseconds per day, whereas general relativity predicts a gravitational speeding of roughly 45.7 microseconds per day in a simplified spherical-Earth model. The operational GPS reference-rate adjustment is approximately 38.6 microseconds per day, corresponding to a fractional frequency pre-offset of about -4.4647 x 10^-10. If this secular effect were ignored, the equivalent range discrepancy would grow by roughly 11.6 km per day. This article develops the result from the Lorentz factor and the weak-field gravitational redshift, explains the distinction between proper time and coordinate time, and connects the physics to the algorithms implemented in a navigation receiver. Particular attention is given to the broadcast satellite clock polynomial, the periodic eccentricity correction specified in IS-GPS-200, the Sagnac correction caused by Earth rotation, coordinate-frame handling, week-crossover logic, and software verification. The article also places relativity within the wider GNSS measurement model, which includes atmospheric delay, satellite ephemeris and clock uncertainty, multipath, receiver noise, and geometry. The goal is not to report new experimental results but to provide a technically accurate bridge between relativistic physics and implementable software engineering.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Résultats de recherche pour Relativistic Time Dilation in GPS Satellites: Physical...
Image d'archives
Relativistic Time Dilation in GPS Satellites: Physical Foundations, Mathematical Derivation, and Receiver-Side Implementation
Vendeur : California Books, Miami, FL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur I-9783389201398
Acheter neuf
EUR 25,85
Expédition à EUR 2,69
Expédition nationale : Etats-Unis
Expédition nationale : Etats-Unis
Quantité disponible : Plus de 20 disponibles
Image d'archives
Relativistic Time Dilation in GPS Satellites
impression à la demandeVendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 24 pp. Englisch. N° de réf. du vendeur 9783389201398
Acheter neuf
EUR 16,95
Expédition à EUR 23
Expédition depuis Allemagne vers Etats-Unis
Expédition depuis Allemagne vers Etats-Unis
Quantité disponible : 2 disponible(s)
Image fournie par le vendeur
Relativistic Time Dilation in GPS Satellites : Physical Foundations, Mathematical Derivation, and Receiver-Side Implementation
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Essay from the year 2026 in the subject Physics, grade: 1, University of Applied Sciences Rosenheim (Informatik), language: English, abstract: Global Positioning System (GPS) positioning is fundamentally a time-transfer problem. A receiver estimates its position by comparing the transmission and reception epochs of radio signals from several satellites whose orbital states and clock corrections are broadcast in the navigation message. Because the satellites move at approximately 3,9 km/s and orbit in a gravitational potential that differs substantially from the terrestrial reference geoid, their atomic clocks do not accumulate proper time at the same rate as clocks on or near the Earth. Special relativity predicts a motion-related slowing of roughly 7.2 microseconds per day, whereas general relativity predicts a gravitational speeding of roughly 45.7 microseconds per day in a simplified spherical-Earth model. The operational GPS reference-rate adjustment is approximately 38.6 microseconds per day, corresponding to a fractional frequency pre-offset of about -4.4647 x 10^-10. If this secular effect were ignored, the equivalent range discrepancy would grow by roughly 11.6 km per day. This article develops the result from the Lorentz factor and the weak-field gravitational redshift, explains the distinction between proper time and coordinate time, and connects the physics to the algorithms implemented in a navigation receiver. Particular attention is given to the broadcast satellite clock polynomial, the periodic eccentricity correction specified in IS-GPS-200, the Sagnac correction caused by Earth rotation, coordinate-frame handling, week-crossover logic, and software verification. The article also places relativity within the wider GNSS measurement model, which includes atmospheric delay, satellite ephemeris and clock uncertainty, multipath, receiver noise, and geometry. The goal is not to report new experimental results but to provide a technically accurate bridge between relativistic physics and implementable software engineering. N° de réf. du vendeur 9783389201398
Acheter neuf
EUR 16,95
Expédition à EUR 35
Expédition depuis Allemagne vers Etats-Unis
Expédition depuis Allemagne vers Etats-Unis
Quantité disponible : 2 disponible(s)
Image d'archives
Relativistic Time Dilation in GPS Satellites
impression à la demandeVendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Essay from the year 2026 in the subject Physics, grade: 1, University of Applied Sciences Rosenheim (Informatik), language: English, abstract: Global Positioning System (GPS) positioning is fundamentally a time-transfer problem. A receiver estimates its position by comparing the transmission and reception epochs of radio signals from several satellites whose orbital states and clock corrections are broadcast in the navigation message. Because the satellites move at approximately 3,9 km/s and orbit in a gravitational potential that differs substantially from the terrestrial reference geoid, their atomic clocks do not accumulate proper time at the same rate as clocks on or near the Earth. Special relativity predicts a motion-related slowing of roughly 7.2 microseconds per day, whereas general relativity predicts a gravitational speeding of roughly 45.7 microseconds per day in a simplified spherical-Earth model. The operational GPS reference-rate adjustment is approximately 38.6 microseconds per day, corresponding to a fractional frequency pre-offset of about -4.4647 x 10^-10. If this secular effect were ignored, the equivalent range discrepancy would grow by roughly 11.6 km per day. This article develops the result from the Lorentz factor and the weak-field gravitational redshift, explains the distinction between proper time and coordinate time, and connects the physics to the algorithms implemented in a navigation receiver. Particular attention is given to the broadcast satellite clock polynomial, the periodic eccentricity correction specified in IS-GPS-200, the Sagnac correction caused by Earth rotation, coordinate-frame handling, week-crossover logic, and software verification. The article also places relativity within the wider GNSS measurement model, which includes atmospheric delay, satellite ephemeris and clock uncertainty, multipath, receiver noise, and geometry. The goal is not to report new experimental results but to provide a technically accurate bridge between relativistic physics and implementable software engineering. 24 pp. Englisch. N° de réf. du vendeur 9783389201398
Acheter neuf
EUR 16,95
Expédition à EUR 60
Expédition depuis Allemagne vers Etats-Unis
Expédition depuis Allemagne vers Etats-Unis
Quantité disponible : 1 disponible(s)