a black hole system

For the purpose of a science fiction story I was wondering what a
black-hole 'solar' system would be like for humans.

Suppose we start with a 10-solar-mass BH and a Jupiter-size gas-giant at
8 AU, and put a human settlement of one of its moons.

How would such a system form: Would a gas-giant survive a
black-hole-forming nova; Would a planetary system survive a collision
beteen a normal star and a black-hole; Would a binary system formed with
a black-hole have stable planetary orbits?
Which mechanism is plausible and what sort of system would result?

Given the lack of solar wind and light pressure, gas and particles would
flow inward. Would this be a major hazard of interplanetary travel? The
furthur in you go, the worse the kinetic energy of these impacts. Would
the bombardments make human travel in the inner system impossible? Would
the energy given off by the accretion disk make life unviable anywhere in
the system?

If you wanted to place satellites or asteroids in circular orbits such
that each one experiences double the time-dilation (halved 'speed') of the
next, what orbital radii would work? Could elliptical transfer orbits
between them work without decay or probable impacts?

How close to the black hole would you need to get for tidal effects to be
noticable on the metre scale (say 0.1g difference)?

The event-horizon is where the escape velocity exceeds the speed of light.
However the escape velocity is defined as escaping to an infinite
distance. For someone close to the black hole, light can reach them from
below the 'infinite' horizon. Suppose satellites were positioned such that
the delta-V between adjacent ones was c/2?

We have

0.5*m*(c/2)^2 = GMm/r_1 - GMm/r_2

which becomes

(c*c)/(8GM) + 1/r_2 = 1/r_1

so the reciprocal of the radii are separated by a constant amount, and
the radii can become arbitrarily small. Placing satellites at these radii
allows signals to be relayed past the nominal event horizon. Is this
correct? What would the inner satellites see of the outside world?


Toby