Flat-Earthers all agree that the Earth is flat, but are widely divided on other aspects of the theory. Some flat-Earthers have, for reasons that mystify me, latched onto ideas that are contradicted by the facts. I don't think you will find a flat-Earther who will deny that not all agree on every aspect of the theory. Some FE-ers do (again for reasons that mystify me) deny space travel or even space itself.
Possibly because space travel has proved evidence that is hard to deny that the earth is really a rotating Globe. Such as this post that you seem to have ignored:
But I accept all of modern science.
So you "accept all of modern science".
But modern science not only accepts space missions as possible but accepts that photographs from those space missions are valid evidence.
For example: NASA SCIENCE, MARS Mars Exploration Program: Mars Before and After Dust Storm
So, presumably you also accept photos from other spacecraft such as:NASA SCIENCE, SOLAR SYSTEM EXPLORATION: Face of Earth
Source: NASA/NOAA
Published: January 30, 2018
Deep Space Climate Observatory (DSCOVR) satellite's EPIC maintains a constant view of the fully illuminated Earth as it rotates, providing scientific observations of ozone, vegetation, cloud height and aerosols in the atmosphere.
About twice a year the camera captures the Moon and Earth together as the orbit of DSCOVR crosses the orbital plane of the Moon.
These images were taken between 3:50 p.m. and 8:45 p.m. EDT showing the moon moving over the Pacific Ocean near North America.
The North Pole is in the upper left corner of the image. It is in the original orientation as taken by the spacecraft.
This image from the Deep Space Climate Observatory (DSCOVR) satellite captured a unique view of the Moon as it moved in front of the sunlit side of Earth in 2015.
It shows a view of the farside of the Moon, which faces the Sun. I found this perspective profoundly moving and only through our satellite views could this have been shared.
- Michael Freilich, Director NASA Earth Science Division
And photos like this seem to imply that the earth is certainly a rotating Globe.
Some deny that humans have walked on the moon. But these odd notions have nothing to do with the flat Earth. Some round-Earthers believe in astrology or homeopathy or crystal power or the transubstantiation of the Eucharist. And some flat-Earthers believe that space does not exist or that the moon landings were a hoax. But all of this is beside the point of the shape of the Earth.
As for rockets "curving toward the horizon" how else would they go anywhere other than straight up?
You ask, "How else would they go anywhere other than straight up?
They go "curving toward the horizon" because for a satellite to orbit the earth
it is not simply "going up into space", that's easy but
it must gain as well as gain elevation it must gain the needed horizontal velocity to orbit at the required altitude.
For many space missions, the spacecraft are first put into a
Low
Earth
Orbit so that the orbital parameters can be precisely ascertained.
In many cases, this LEO is at about 200 km for which the orbital velocity is 7784 m/s (28,023.3 km/hr or 17413 mph).
Only about 11% of the energy expended to orbit is expended "gaining altitude" the rest is achieving orbital velocity.
Have a look at:
ROCKET SCIENCE: Ascent Trajectories and the Gravity Turn."Flat gravity turn" and, in red, the Falcon 9's initial "steep gravity turn" to assist in the first stage "boostback". How else would they go around to the underside? Even with the moon only 5,000 miles away, it's helpful for the rocket to go under the Earth a few times to get a bit of an extra boost.
And "how else would they go around" the Globe.
I thought that the flat-earth moon was about 3000 miles away and a rocket could fly straight there.
We flat-Earthers have to reject those variations on FET that don't agree with observable facts, and stick with the central truth of the Earth's shape. Don't make up theories that are unnecessary for our basic premise.
Space travel is real. Armstrong and others walked on the moon. And the Earth is flat. Well, except for mountains. And valleys. And the sea floor. And when bits move around during an earthquake.
But Newtonian gravitation would crush a finite flat earth into a spherical shape and gravitation.
Then Newtonian mechanics would prohibit the sun, moon, planets and stars simply circling above a flat earth unless you can show some "mechanism" to hold them up and keep them in
roughly circular orbits.