I have done calculations, help me find a correlation

[Artienia]

I am going to be quick, i have  been experimenting with the Alcubierre drive (if you don't know the mod, here is a link)

I have done these calculation

If you orbit Kerbin at 1000 m/s, than after using the AD you will go....

4000 m/s when you arrive at eve
14868 m/s when you arrive at duna
6840 m/s when you arrive at eeloo
When you leave kerbin's SOI, you are going 8284 m/s

 

If you orbit Kerbin at 500 m/s, than after using the AD you will go...

3525 m/s at eve
15042 m/s at duna
7382 m/s at eeloo
When you leave kerbin's SOI you are going 8958 m/s

 

During the experiments, reverts were used, so take it as all of the travels were happeniing at the same time
During the experiments The planets were orbiting the sun at...

Eve 10810 m/s
Kerbin 9284 m/s
Duna 7146 m/s
Eeloo 2764 m/s

 

Expect some minor mistakes on the measurments.

 

 

Please help me find a correlation and some predictive power

thx
 

 

 

Edited December 24, 2018 by Vanamonde
Don't get carried away with font sizes, please.

[HebaruSan]

Don't these values depend on the relative positions of the planets? Relative velocity will be much lower when the planets are moving in roughly the same direction than when they're moving in opposite directions. If two planets have orbital velocities A and B, then their relative velocity will range from a minimum of |A-B| to a maximum of A+B.

For example, Kerbin's orbital velocity is 9200 m/s, and Duna's is 7100-7900 m/s. So their minimum relative velocity is 9200-7100=2100 m/s, and their maximum is 9200+7900=17100 m/s.

[Artienia]

15 minutes ago, HebaruSan said:

Don't these values depend on the relative positions of the planets? Relative velocity will be much lower when the planets are moving in roughly the same direction than when they're moving in opposite directions. If two planets have orbital velocities A and B, then their relative velocity will range from a minimum of |A-B| to a maximum of A+B.

For example, Kerbin's orbital velocity is 9200 m/s, and Duna's is 7100-7900 m/s. So their minimum relative velocity is 9200-7100=2100 m/s, and their maximum is 9200+7900=17100 m/s.

I am goiing to be frank with you, i have no idea what conditions are important or not. this is why i put out all the numbers.

Here are the planets positionns at the time of the experiment

[HebaruSan]

20 minutes ago, Artienia said:

I am goiing to be frank with you, i have no idea what conditions are important or not. this is why i put out all the numbers.

Here are the planets positionns at the time of the experiment

OK, here's an attempt to illustrate my point:

I added approximate velocity vectors in green. These are supposed to have two properties: they're tangent to the orbit lines, and they get bigger as you move closer to the sun. (They're not strictly proportional or accurate in any way beyond that, because it's not necessary for the general point.)

When you move from one planet to another while preserving your velocity, the result depends on how similar those green lines are from the one planet to the next. Since Kerbin and Eve are close by, they have pretty similar velocities, so you got about 4 km/s relative velocity. Duna on the other hand is almost moving opposite to Kerbin, so their velocities are very different, so you got 15 km/s. If you tried these measurements again with Duna near Kerbin and Eve far away, you'd get opposite results, with Duna having a lower relative velocity.

[Artienia]

1 minute ago, HebaruSan said:

OK, here's an attempt to illustrate my point:

I added approximate velocity vectors in green. These are supposed to have two properties: they're tangent to the orbit lines, and they get bigger as you move closer to the sun. (They're not strictly proportional or accurate in any way beyond that, because it's not necessary for the general point.)

When you move from one planet to another while preserving your velocity, the result depends on how similar those green lines are from the one planet to the next. Since Kerbin and Eve are close by, they have pretty similar velocities, so you got about 4 km/s relative velocity. Duna on the other hand is almost moving opposite to Kerbin, so their velocities are very different, so you got 15 km/s. If you tried these measurements again with Duna near Kerbin and Eve far away, you'd get opposite results, with Duna having a lower relative velocity.

Yeah i get that