A friend is trying to calculate the pitch program for the Sputnik rocket. His software is excellent. He takes into account issues like the change of specific impulse with atmospheric pressure, and estimate of rocket drag, etc. However, we do not have data points for the trajectory.
See message #17 for my data and #20 for his final work:
http://www.thespacerace.com/forum/index.php?topic=2570.17
The result is here: http://www.braeunig.us/misc/Sputnik-1_launch.pdf
What do you think?