The problem with this is that Astronomy and knowledge of a spherical earth existed a long long long time before NASA
To put it into perpective ...
I studied the History of Astronomy as part of my Undergraduate Science degree at University in the very early 1970's
Here's a brief summary ...
**Pythagoras first put forward his evidence for a spherical earth in 600 BC. There has never been a time since then that any scholar of any regard has refuted that we live on a spherical planet ?
**By 300BC it was common knowledge that the earth rotated to give day and night and the moon travelled around the earth once every 28 days, resulting in the phases of the moon.
At this time it was well known that 5 of the objects seen in the night sky were "planets" and not stars. Before this they were often called "wandering stars" because their path across the sky had been observed to have a retrograde motion.
**About 270BC Aristarchus calculated the distance to the moon and the size of the moon
**Aristarchus also believed that the sun was the centre of our solar system and even calculated the correct order of the visible planets. He also said that the stars were distant suns. This was not accepted at the time because religions and other Astronomers such as Ptolemy and Aristotle could not accept that anything other than the earth was the centre of the universe. (Man is such an egocentrical beast !!! lol)
**Eratosthenes worked out the circumference of the earth to within 10% about 250BC
**Around 150 BC Hipparchus discovered the precession of the equinoxes.
**In 1543 Copernicus published his book De revolutionibus orbium coelestium which described a heliocentric solar system ie the sun at the centre and the earth and other planets travelling around the sun. This also perfectly explained the retrograde motion of the planets. He also had the visible planets in the correct order. The publication of this book was one of the most pivotal moments in Scientific History, as it set the scene for the establishment of The Scientific Method, and is now often referred to as "the Copernican Revolution"
**In 1608 Lippershey invented the telescope with a magnification of 3X
**In 1610 using a 20X refractor telescope Galileo discovered 4 of Jupiter's moons
**In 1761 astronomers who travelled to various parts of the world, calculated the distance to the sun using the transit of Venus across the sun, using information left by Hubble who knew he would not live long enough to be able to do this himself.
1781 Uranus is discovered
1846 Neptune is disovered
1930 Pluto is discovered
1958 NASA founded.
We also knew about comets, most of the larger moons of the other planets, how and why solar and lunar eclipses occur, eliptical orbits of the planets, Newton's theory of gravity and Einstein's Laws of Relativity (In fact Einstein died in 1955)
WHAT conspiracy
??
Why do flat earthers deny this history???
I studied the History of Astronomy as part of my Science Degree in 1973 but my lecturer was in his 70's by then and had been teaching this stuff for about 40 years ... WAY before NASA was founded in 1958 !!!