The New Horizons space craft set a record at 36,000 miles per hour, the fastest spaceship relative to Earth ever achieved. The sun is 94 million miles away, so if you divide 94 million by 36,000 mph you come up with 2666.67 hours, or 111.111 days. That’s about 3 months and 21 days, round out to 4 months to be safe.
However, you can’t just launch a space ship from Earth directly at the sun and expect to go 36,000 mph. New Horizon’s speed was achieved through slinging around planets, what we call “gravity assist.” Your sun bound space craft would begin slowly and take a very long time to reach the sun.
If it took the Apollo astronauts 3 days to go 250,000 miles to the moon. At that speed it would take just over 3 years to reach the sun.
By looking at the illustration below, you would think so! Earth and Mars are so close, why not build an outpost between to make it easier to go there!
Unfortunately, this image only shows us the relative distances the planets have from the sun. Actually, Earth orbits the sun faster than Mars because Earth is closer to the sun. The closer to the sun, the faster the orbit. The further from the sun, the slower the orbit.
This means that sometimes the two planets are close together and other times they’re on opposite sides of the Sun.
If you could somehow position an outpost so it stayed midway between the two planets then as the planets move to opposite the sun from each other where would the outpost go? Into the sun!
You couldn’t have that! The best you could do is put an outpost in orbit around the sun, between Earth and Mars, but then the outpost would have the same problem for both Earth and Mars. Sometimes the outpost would be near one planet or the other and sometimes it would be on the opposite side of the sun. It would be very rare to find all three of them lined up in a row like stepping stones.
Now another idea might be to have an outpost orbiting Earth, way out in space halfway the distance to Mars. It could work, but it would take a long time to orbit Earth at that distance. It wouldn’t remain stationary. It would be in orbit, albeit a fairly slow one. Sometimes it will be on the opposite side of the Earth from Mars, being of no use. Such an orbit would be influenced by the orbit of Earth’s moon, and by Mars itself, throwing it off orbit, and would be inherently unstable.
So if somebody thinks we might one day build such an outpost to make going to the planet Mars easier, that idea wouldn’t work too well.