PTE · Multiple Choice, Single Answer

Principles of Satellite Navigation

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  • PTE Academic and PTE Core
1

Relativistic Effects on Clocks

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Atomic clocks on board navigation satellites operate under distinct relativistic conditions compared to ground receivers. Special relativity dictates that high orbital velocities cause satellite clocks to tick slightly slower than terrestrial clocks, losing roughly seven microseconds daily. Conversely, general relativity predicts that weaker gravitational potential at medium Earth orbits makes satellite clocks tick faster, gaining about forty-five microseconds each day. Because the gravitational effect dominates, satellite clocks run ahead by approximately thirty-eight microseconds per day. Without pre-launch frequency adjustments and ongoing computational corrections, this accumulated discrepancy would introduce positioning errors of several kilometres within twenty-four hours.

According to the passage, why do orbital atomic clocks run faster overall than terrestrial clocks?

Questions 2–5

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2

Ionospheric Signal Delay

As satellite signals traverse the upper atmosphere, free electrons within the ionosphere alter their propagation speed and trajectory. This dispersive medium slows the underlying carrier phase while advancing group delay, introducing significant ranging errors for ground receivers. The severity of this delay varies dynamically with solar activity, geomagnetic disturbances, and geographic latitude. Dual-frequency receivers mitigate this distortion by comparing signal arrival times across two distinct carrier bands, exploiting the frequency-dependent nature of ionospheric refraction to calculate and eliminate the delay. Single-frequency devices, however, must rely on empirical ionospheric models, which correct only a fraction of the error.

What is the primary purpose of the passage?

  • ATo argue that single-frequency receivers are obsolete due to unpredictable geomagnetic storms.
  • BTo demonstrate that solar radiation prevents satellite signals from reaching terrestrial receivers.
  • CTo explain how atmospheric electron dispersion affects signal transit and how receivers compensate for it.
  • DTo describe the historical development of dual-frequency carrier bands in orbital communications.
3

Geometric Dilution of Precision

The accuracy of a calculated position depends not only on signal integrity but also on the geometric distribution of visible satellites across the sky. When available satellites are clustered closely together, the intersecting geometric lines from each transmitter create a broad area of spatial uncertainty, resulting in a high Dilution of Precision (DOP) value. Conversely, when satellites are widely dispersed across cardinal directions and elevations, the intersecting vectors form a sharp, well-defined point, yielding a low DOP and superior positional accuracy. Constellation planners therefore arrange orbital planes to ensure adequate satellite geometry at any global location.

What can be inferred about Dilution of Precision (DOP) from the text?

  • ASatellite geometry is determined entirely by ground receiver orientation rather than orbital paths.
  • BHigh DOP values indicate superior alignment and minimal spatial uncertainty.
  • CPositional error decreases as visible satellites become more widely spread across the sky.
  • DClustered satellites provide sharper geometric intersections than dispersed constellations.
4

Multipath Errors in Cities

In dense urban environments, tall buildings constructed of glass and steel frequently obstruct direct line-of-sight satellite signals. Receivers in these urban canyons often capture secondary signals that have reflected off structural surfaces rather than the direct broadcast. Because these reflected waves travel longer paths before reaching the antenna, they arrive with a slight time delay, leading to corrupted pseudorange measurements. This phenomenon, known as multipath interference, produces positional drift and degrades navigation accuracy. Advanced antenna designs and statistical filtering algorithms can reject some delayed reflections, but resolving multipath errors remains a primary challenge in urban positioning.

According to the text, why do reflected satellite signals cause measurement errors?

  • AThey permanently alter the frequency bands used by municipal satellite systems.
  • BThey prevent statistical filtering algorithms from detecting urban canyon structures.
  • CThey degrade receiver antennas by increasing the physical amplitude of radio waves.
  • DThey travel greater distances and arrive after the direct transmission would have.
5

Ground Augmentation Networks

Standard satellite positioning often lacks the sub-metre precision required for safety-critical tasks, such as aircraft instrument landings and automated port operations. To bridge this gap, ground-based augmentation systems deploy stationary reference stations at precisely surveyed coordinates. These fixed receivers continuously compare their known geographical positions against incoming satellite measurements to calculate real-time error vectors, encompassing clock drift and atmospheric delays. These corrective data are then broadcast via terrestrial radio links to nearby mobile users, enabling them to refine their raw coordinates instantaneously. This differential approach successfully eliminates common-mode errors shared between the reference station and local receivers.

Which statement best reflects the mechanism behind ground-based augmentation?

  • AReference stations transmit adjusted satellite signals directly into the upper atmosphere.
  • BMobile receivers replace orbital broadcasts entirely with terrestrial radio frequencies.
  • CSurveyed coordinates eliminate the need for mobile units to process raw satellite data.
  • DFixed base stations compute the difference between measured and known positions to broadcast corrections.

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