the James Webb Space Telescope (JWST) had not been launched, and hence I cannot provide specific details about its observations or the capturing of the Stephen's Quintet Galaxy picture. However, I can provide some general information about how telescopes capture images of distant galaxies and determine their distances.
To study distant galaxies, astronomers use a variety of telescopes, both ground-based and space-based. These telescopes are equipped with advanced imaging instruments, such as cameras and spectrographs, that allow them to capture light from celestial objects.
Determining the distance to a galaxy is a complex process that involves various methods. One commonly used technique is called redshift. When light from a distant object, such as a galaxy, travels through the expanding universe, its wavelengths stretch or "redshift" due to the expansion of space. By measuring the redshift of the light, astronomers can estimate the distance to the galaxy.
In the case of the Stephen's Quintet Galaxy, its distance of 29 crore (290 million) light-years might have been determined using such distance-measuring techniques, along with observations from different telescopes and instruments. Astronomers analyze the light emitted by the galaxy, measure its redshift, and use various models and calculations to estimate the distance based on the known expansion rate of the universe.
It's worth noting that the James Webb Space Telescope, which is scheduled for launch in late 2021 (after my understanding), is expected to be one of the most powerful telescopes ever deployed. It is designed to observe the universe in infrared light, enabling it to peer deeper into space and potentially capture clearer and more detailed images of distant galaxies, shedding light on their properties and evolution.