Whether time dilation is wrong or right, but for the sake of argument here, I will consider the proposition of time dilation in terms of relativistic effects, i.e. speed or gravitational potential differences.
The orbital speed of a GPS satellite is not the relative speed with respect to the Earth. It is the angular velocity of a GPS satellite relative to the center of the Earth and is measured in degrees or radians. Angular velocity is the time rate at which an object rotates about an axis, or the angular displacement between two bodies changes.
The orbital speed of a satellite is not a consideration in relativistic time dilation involving relative motion, and angular velocity does not apply to time dilation because it considers either relative motion or gravitational potential difference. In relativistic time dilation, a moving object with respect to an observer on Earth requires a relative motion.
The time dilation equation 𝑡՚ = 𝑡/√(1− 𝑣²/𝑐²) applies to the relative motion of an object moving relative to an observer on Earth.
GPS satellites orbit about 20,000 km from Earth and are affected by relativistic effects due to the gravitational potential difference between the Earth observer and the satellite. Therefore, there is a relative gravitational potential difference between the GPS satellite and the observer on Earth.
The gravitational potential difference is greater with a GPS satellite in space than with an observer on Earth, so that the gravitational force is greater with an observer on Earth than with a GPS satellite in space. Due to the weakening of gravity, satellite clocks run about 45 microseconds a day faster than Earth clocks. Therefore, on balance, the clocks of GPS satellites in space run about 38 microseconds a day faster than the clocks of GPS receivers on Earth. This is called gravitational time dilation. Whereas, the angular speed of GPS satellites, in degrees, is not calculated in gravitational time dilation.
The gravitational time dilation equation is different from the time dilation equation due to motion. The gravitational time dilation of a GPS satellite or any other gravitational time dilation equation includes the gravitational constant (G) and the distance between the centers of objects (r), where G = 6.67×10¯¹¹ Nm²/kg², the gravitational time dilation equation is, T' = T/√1−2GM/rc², where (T') is the time interval affected by (Earth) gravity; (t) is the time interval (GPS satellite) unaffected by gravity; (M) is the mass of the Earth, (G) is the gravitational constant, (r) is the distance between the centers of objects and (c) is the speed of light (299792458m/s).
However, according to my scientific findings and experiments, my paper concern deals with relativistic covariant spacetime invalidating covariant time dilation and space. Since, time and space have no physical properties but they are only mathematical parameters, time cannot be expanded, and my experiments confirm that the loss of energy due to relativistic effects enlarges the wavelength of the clock's oscillation, which corresponds to incorrect time but relativity appears incorrectly. This error as time expands. Time dilation is actually an error in timing due to wavelength distortion.
The time interval T(deg) is inversely proportional to the frequency, for a 1° phase, we get a wave associated with time change. 1° phase shift = 𝑇/360 = (1/𝑓)/360. Time delay for 1° phase shift with frequency of 5 MHz and wavelength of 59.95 m,𝛥𝑡 = 555 𝑝𝑠.
The GPS satellite's cesium-133 atomic clock orbits at an altitude of 20,000 km with a time delay of 38 microseconds per day.
Time delay for a 1455.5° phase shift or 4.04 Hz. With a frequency of 9192631770 Hz,𝛥𝑡 = 0.00000010878 m𝑠. So 38 microseconds per day.
Reference: Relativistic effects on phase shift in relative frequencies invalidate time dilation.
