Consider the intriguing challenge of photographing the wondrous 'Harvest Supermoon' through the lens of your Android or iPhone. It might appear daunting due to the physical limitations of phones like the absence of a zoom lens, coupled with the extreme luminosity of the moon. However, with the right approach, this can certainly become feasible.

Ensure that you initialize your lunar photography expedition with a fully charged phone. Lengthy photo shoots are notorious for rapidly consuming phone battery, thus making it sensible to carry a supplementary portable battery pack with you. Invest in a third-party camera app that lets you tweak exposure settings manually because the inbuilt camera apps often fail to manage the luminous intensity of the full moon. Opting for an app such as Camera+ 2, VSCO, or camera, set at ISO 100 may yield optimal results.

As you embark on capturing the full dynamic spectrum of the moon, employ the highest quality image mode that your phone offers. This feature ensures that you can secure both the illuminated and shadowy details of the fascinating celestial body, opening up vast opportunities for post-processing modification. Being cognizant of the timing can significantly impact your ability to take a magnificent photo of the moon.

Be ready to face eastward during moonrise, the moment when the moon shows up with a relatively subdued contrast against the dimming sky. If you can arrange to be in position about ten minutes prior to moonrise, it gives you the best chance to capture an equilibrium of exposure that results in both the landscape and the lunar characteristics being discernibly visible.

While smartphones do not possess strong telephoto lenses, there are ways to extract the utmost potential from your phone's inherent optical zoom feature. In low-light conditions, certain smartphones switch to a shorter lens by default, but it is advised to manually choose the longest lens accessible to prevent a reduction in detail and resolution. Modern smartphones endowed with high-density sensors can unmask surprising detail in the moon’s dark lunar maria.

Utilizing a tripod can profoundly enhance the stability of your photographic capture. Spending on a robust tripod coupled with a universal smartphone holder will help secure your phone in position. Moreover, activating the timer delay function or a Bluetooth remote eliminates the risk of camera movement during the photo capture.

If you own a telescope, you can utilize it as a telephoto lens paired with your smartphone in a method popularly known as afocal photography. This requires positioning your phone’s lens above the telescope’s eyepiece when clicking a photo, preferably choosing an eyepiece with low magnification for superior output. By employing these strategies, it is entirely possible to achieve mind-blowing photographs of the moon with your mobile device. Gear up to immortalize the spectacular 'Harvest Supermoon' on your smartphone in all its shining splendor.