EVE General Discussion

Hey,

I'm just wondering if such a thing exists?

I am playing around with align times vs speed and want to try and establish what orbits I can maintain at which speeds.... assuming the target is stationary.

Regards

Barrak

You should be able to work this out from first principles. A bit of 3D geometry never hurt anyone. And it's not even 3D if you are faster than your target... you can consider it in the same plane as your orbit.

Try this:

NASA + (Nerdstuff x Your Face) = What you are asking for.



Just shoot guns and don't be bad.

Weeell…

…according to this, the time it takes to make a π/2 turn is t = I × M × 10⁻⁶ × -ln(1-v / vmax).

During this time, you've travelled at the orbit speed v for a total distance of v × t = π/2 radians
Thus: r = v × 2t/π and v = π × r / 2t (but t is dependent on v, and I can't be arsed to break that one out of the ln function).

Thus, the orbit radius for speed v should be r = (2 v / π) × ( I × M × 10⁻⁶ × -ln(1-v / vmax) )

Where I = inertia mod; M = mass, v = orbit speed, r = orbit radius, vmax = max speed.

Thanks alot, now i have a headache....

Probably not.

Especially the part where v=ƒ(v), which just breaks my tired brain.

Still, if the formula for time to accelerate is correct, then the orbit radius function should be correct (barring any sign errors).

A = V^2 / R
Where A is accelleration, V is velocity and R is orbit range.
Find A through inertia and we're done.

EDIT: obviously, on a still target.
Given a target moving with fixed velocity, the frame of reference changes, and we get:
A = (V-v)^2 / R
where v is the velocity of the target, and (V-v) is the resulting orbiting velocity.
Given an object trying to orbit you, the frame of reference changes again, resulting in:

A-a = (V-v)^2 / R

This is assuming eve's ships follow physical laws, which is not a given.


second edit: eve ships follow physical laws, but there's a magical force akin to viscous drag (which creates a cruise speed)
So, A becomes A- ([A] X bv)
where [A] is the normalized vector of A and b is the viscous constant.

Blogpost is correct, and at the lowest grade of complexity possible.
Kudos to those who wrote that.

I cant confirm that links equations for Radius of orbit with my rifter.

anyone else tried to confirm it ?

Pretty much this. This covered more or less everything:

Although I'd also say the assumption that your target is stationary is a bad one.

If your target is moving at all expect massive variations in fast, MWD using ships in orbit.

My kiting Crusader ('get a Slicer', etc. yeah yeah, I'm bad for flying what I like) orbits at 15KM on a slow moving target if I'm telling it to orbit at 13KM.

Against a faster target (not faster relative to me... faster as in 'faster than something I can keep a stable orbit on') that's human, if I just let the computer do it's thing I can end up anywhere between 12KM (dead) and 20KM if they try to pull away in the opposite direction (where I need to start heating my point), so it's not a very good policy. Keep at Range is imperfect, too.

So in the end I end up using a: custom overview, mixture of manual piloting and tapping 'Orbit' and 'Keep at Range' (I set mine to 60KM so I can either start to pull range a button press, or haul ass away at a button press).

If you're literally only going to be orbiting stationary targets, though...

See the above quote... Fit, un-dock, orbit a can and play with the orbit range so you get a real 'feel' for it.

I can see it now...

"Could you stop shooting me for about ten minutes please, I just need to do some calculations to see what distance I should orbit you at."