I am a bit confused, so I thought I would ask scientists about this question. During approach to a planet, do you have to take into account the planet's vector?
I am going to use planet Earth as an example. Let's round its diameter off to 13000 km, and its speed around the sun to 30 km/sec. 1G acceleration is 10 km/sec. If my ship appears 100 diameters away (say, 1.3 million km), and start accelerating to Earth at 1G, it is going to take 6 or 7 hours, I believe. But the earth itself is travelling 30 km/s, so won't it take even longer to get there as it moves away from the ship? Or shorter, if they are in front if the earth's orbit?
I am going to use planet Earth as an example. Let's round its diameter off to 13000 km, and its speed around the sun to 30 km/sec. 1G acceleration is 10 km/sec. If my ship appears 100 diameters away (say, 1.3 million km), and start accelerating to Earth at 1G, it is going to take 6 or 7 hours, I believe. But the earth itself is travelling 30 km/s, so won't it take even longer to get there as it moves away from the ship? Or shorter, if they are in front if the earth's orbit?