Objects (such as C/1980 E1) on an outbound ejection trajectory will show an eccentricity greater than 1, an apoapsis distance of AD= 9.99E+99 and an orbit period of PR= 9.99E+99.4 For objects orbiting the Sun, this is best computed at an epoch (date) when the object is outside of the planetary region of the Solar System and no longer subject to notable planetary perturbation. Due to the galactic tide and passing stars it is impossible to know if an object with a weak hyperbolic trajectory will truly be ejected or gently nudged back inward. The galactic tide and passing stars can also cause objects inbound from the Oort cloud to have a weakly hyperbolic trajectory.
There are 3 ways to use the system and all of them can be automated:
The Horizons system was intended to be easy to use and should have a step-function learning curve.
Alan B. Chamberlin (February 28, 2006). "Frequently Asked Questions (FAQ): What's the exact value of..." JPL Solar System Dynamics. Retrieved January 20, 2011. https://ssd.jpl.nasa.gov/?faq#B06 ↩
Jet Propulsion Laboratory (August 28, 2015). "HORIZONS User Manual". "Long term ephemeridies" section. Retrieved January 10, 2016. https://ssd.jpl.nasa.gov/?horizons_doc#longterm ↩
Horizons output. "Barycentric Osculating Orbital Elements for Comet C/1980 E1 (Bowell)". Solution using the Solar System Barycenter. Ephemeris Type:Elements and Center:@0 (To be outside planetary region, inbound epoch 1950 and outbound epoch 2050) https://ssd.jpl.nasa.gov/horizons_batch.cgi?batch=1&COMMAND=%271980+E1%27&TABLE_TYPE=%27ELEMENTS%27&START_TIME=%271950-01-01%27&STOP_TIME=%272050-01-01%27&STEP_SIZE=%27100%20years%27&CENTER=%27@0%27&OUT_UNITS=%27AU-D%27 ↩