The applied tools of the mathematics disciplines of Celestial mechanics or its subfield Orbital mechanics ( both predict orbital paths and positions ) about a center of gravity are used to generate an ephemeris ( plural: ephemerides ; from the Greek word ephemeros = daily ) which is a table of values that gives the positions of astronomical objects in the sky at a given time or times, or a formula to calculate such given the proper time offset from the epoch.

The applied tools of the mathematics disciplines of celestial mechanics or its subfield orbital mechanics ( for predicting orbital paths and positions for bodies in motion under the gravitational effects of other bodies ) can for example be used to generate an ephemeris, which can be presented as a table of values giving positions and velocities of astronomical objects in the sky at a given time or times.

0.032 seconds.