I just realized that Bu is an n x m times a m x 1 thus the product is an n x 1 vector.
d(Bu)/dx is then just the derivative of a vector wrt a vector, which is the Jacobian if I'm not mistaken...
looks like I just answered my own question (I think)
Hi,
I'm working on a project (not homework) where I have to linearize a set of non-linear equations of motion
They take the form:
x_dot(x,u) = B(x)*u + A(x)
where A and B are functions of state vector x. x_dot is a time derivative of x.
A - n x 1
B - n x m
u - m x 1
(wish I...
The speed of light is finite so the "Edge" of the universe is in reference to the edge of the "visible universe", an ever growing sphere around the earth. There is no physical edge that we know of (nor does the concept of a physical "edge" actually make much sense...).
The stars at "the edge...
The evidence points to an expanding universe, we tell this by looking at the redshift/distance relationship, objects further away are receding faster, with their redshift and distance at an almost linear relation.
My question is, the photons emitted by those objects that we are just now...
As one who has seen the inner workings of a military comm spacecraft program in development, this is ALWAYS a constraint. The engineers are always trying to trim the cost and use less fuel.
The absolute cost is just a function of the complexity of the task, independent of commercial/military.
Assuming you use a standard "launch":
No.
Think of it this way. If you were to start at 67 degrees north latitude and just teleport the spacecraft up 200km and get it moving instantly due east at circular orbit velocity (roughly 8km/s for LEO) then it would have an inclination of 67...
Alright,
The basic method I used was to apply the ideal rocket equation which relates a delta V (velocity change) to a mass fraction, with the exhaust velocity considered.
the way I approached this was by saying that any fictional planet will have a similar composition to the Earth's, thus its...