Asteroid locations at the time of the crucifixion of Jesus I am interested in learning the locations and velocities of the near earth asteroids at the time of the crucifixion of Jesus Christ.
 I would like to back-calculate the paths of all known near earth asteroids to find out if any was between the earth and the sun at the time of Jesus' crucifixion on Good Friday.  The Horizons system of NASA JPL only permits back calculations to about 1400AD.  

I want to see if there was a clustering of asteroids on Good Friday between the earth and sun.  If so they could be the remnants of a gigantic collision that would have been capable of making a dust cloud in interplanetary space that could have produced a shadow on the entire earth which would account for the observations reported by the gospels and the Chinese astronomers and St. Dionysius and others.

In other words if any asteroids are calculated to have been between the earth and sun on Good Friday they may be left-over debris from the possible collision that produced the dust cloud.

My question is this.  Do you know of any available computer program like the JPL  Horizons program that will work to give asteroid positions back in the time period between 29AD and 35AD?  (I give a range of years because biblical scholars give a range of possible years for the Crucifixion of Jesus.  The determination of a debris asteroid would help historians know the timing of the Crucifixion better, also.)
Thank you for your attention and assistance.
Best Regards,
Dr. Francis Kelly
President, The Catholic Association of Scientists and Engineers
The computer program you are asking for is literally impossible:  Even ignoring the affect of the greater universe and transient visitors such as comets on hyperbolic orbits, the Solar system is a chaotic complex system.  We have a pretty good handle on the motion of the bodies we are, and have been aware of, during the time modern astronomy has been studying the skies, i.e., over the past few hundred years.  (Remember that in the earlier years of telescopic astronomy, we were unaware of most of the currently known members of the Solar system, including all of the asteroids, and every massive object beyond Saturn.)  As you deviate further from the present (either past or future), the chaotic nature of the system comes more into play, especially on smaller bodies such as asteroids.  As a result, stating orbital positions either far in the past or far in the future requires a larger margin of error as the time differential grows.  Eventually you get to a point where the error is so great that we cannot say reliably where an object was or will be.  Perhaps if someone had come up with the laws of planetary motion sooner than Kepler, we would have more reliable data further into the past, and therefore more accurate orbital elements over a longer range than we do, but that didn't happen.

The asteroid belt (white) and Jupiter's trojan asteroids (green)

From Wikipedia, linked from the Asteroid page

In addition to the chaotic nature of the Solar system, there's also the fact that the vast majority of the asteroids revolve around the Sun outside of the Earth's orbit, so the chances of any asteroids we know of having "a gigantic collision ... that could have produced a shadow on the entire Earth" (i.e., between the Earth and the Sun) are between slim and none.  (Note also that the amount of material present in said "dust cloud" would have to be immense in order to have a noticeable affect on the amount of sunlight falling on the Earth.)  The only way such a collision could have occurred would be if two objects traveling through the Solar system happened to collide in such a manner that the "dust cloud" the collision produced happened to fall between the Earth and Sun - and also left the Solar system without a trace afterwards.  This would have required the objects being in similar trajectories crossing the plane of the ecliptic at a high angle and speed - a chaotic event if there ever was one!

So, basically you're looking for a way to prove that a chaotic event happened sufficiently far in the past that chaotic errors make our knowledge of most of the Solar system (asteroids and such) and outside influnences questionable - no, that's not going to happen.  Math doesn't work that way.